text
stringlengths 4
2.77k
| input_ids
sequencelengths 3
510
| attention_mask
sequencelengths 3
510
| labels
sequencelengths 3
510
| ner_tags
sequencelengths 3
510
| tokens
sequencelengths 3
510
| paper_name
stringclasses 80
values | __index_level_0__
int64 0
2.08k
|
---|---|---|---|---|---|---|---|
search for a random nonce
that once hashed with the digest of the block header generates
a hash of a predefined number of leading zeros (see details
in Section III). This hard "work" has two main roles. The
first is to stand as a Proof of Work to generate, i.e., mine,
Bitcoins as a reward to miners for maintaining the blockchain
and verifying the protocol's correctness. The second is to
tune the rate of creating blocks by forcing a global consensus
through periodically calibrating the hardness of th | [
2617,
1162,
119,
138,
5980,
1113,
2780,
14609,
2462,
1105,
2272,
2645,
119,
15840,
8127,
4571,
2775,
2598,
117,
3081,
1559,
113,
122,
114,
131,
22196,
782,
26479,
117,
1478,
119,
164,
129,
166,
25118,
19921,
1252,
9866,
1179,
119,
138,
1397,
118,
3964,
6866,
2329,
1105,
11858,
4412,
2200,
4048,
3482,
119,
1653,
2526,
117,
1387,
119,
164,
130,
166,
2131,
140,
19226,
1179,
117,
3274,
27823,
117,
1105,
2392,
1186,
159,
7563,
14987,
119,
7922,
118,
1260,
2083,
25685,
6602,
1107,
1118,
14883,
12569,
6088,
118,
26827,
25544,
119,
1130,
3116,
11300,
1605,
118,
189,
12115,
3047,
1113,
22265,
1104,
12120,
2050,
2047,
24595,
6475,
117,
152,
23329,
17243,
1708,
1446,
117,
1382,
1492,
118,
1479,
117,
1446,
117,
6331,
117,
2722,
117,
5097,
1572,
131,
122,
782,
1572,
131,
1479,
117,
1446,
119,
164,
1275,
166,
7975,
11919,
1105,
5934,
5255,
20428,
1964,
119,
153,
18890,
1118,
14883,
12569,
6088,
15745,
1105,
5250,
19667,
7593,
119,
9690,
2107,
13809,
22946,
1113,
6701,
6475,
113,
16972,
12122,
114,
117,
1406,
113,
125,
114,
131,
3614,
1604,
782,
3993,
1475,
117,
1617,
119,
164,
1429,
166,
15397,
3436,
119,
15397,
3594,
3542,
16003,
113,
1107,
7854,
188,
1403,
1775,
114,
188,
1181,
1377,
119,
18630,
131,
120,
120,
3594,
119,
1107,
7854,
119,
3254,
120,
4035,
118,
1366,
120,
188,
1403,
1775,
118,
188,
1181,
1377,
119,
11737,
1174,
131,
1504,
118,
4775,
118,
1853,
119,
164,
1367,
166,
7233,
7176,
117,
13737,
1186,
19585,
10606,
117,
2586,
6834,
2142,
151,
4108,
11655,
2605,
117,
1105,
7975,
3291,
11604,
1465,
119,
8377,
6088,
118,
26827,
4520,
4359,
15776,
131,
143,
14045,
1116,
1132,
1136,
1198,
21110,
119,
1130,
11804,
20463,
3529,
1105,
2444,
113,
11804,
1658,
4165,
114,
117,
1349,
16206,
4180,
1570,
3047,
1113,
117,
5097,
2724,
782,
3614,
119,
16206,
117,
1349,
119,
164,
1492,
166,
6952,
140,
11098,
117,
5665,
19891,
11014,
117,
2639,
1233,
2001,
11604,
1161,
117,
1105,
8372,
4150,
7050,
119,
113,
2301,
120,
7091,
2734,
120,
8250,
114,
118,
1714,
1118,
14883,
12569,
10923,
1111,
14255,
21484,
118,
189,
3656,
3510,
7147,
4935,
119,
3291,
2069,
2069,
117,
170,
4832,
120,
10837,
1477,
119,
5347,
1568,
1545,
1604,
117,
1504,
119,
164,
1489,
166,
22087,
16531,
10691,
1389,
9115,
21544,
119,
27400,
2528,
1394,
7426,
16752,
22369,
1112,
6335,
23017,
1112,
5140,
1118,
12795,
119,
18630,
131,
120,
120,
1534,
4015,
119,
4711,
119,
3254,
120,
4035,
1366,
120,
3342,
120,
170,
4820,
1495,
3293,
120,
2113,
2528,
1394,
118,
1180,
118,
17914,
118,
1112,
118,
1277,
118,
6495,
118,
1112,
118,
10552,
8519,
118,
1118,
118,
12795,
119,
138,
1665,
118,
172,
24940,
131,
1504,
118,
4925,
118,
4991,
119,
164,
1405,
166,
8372,
4238,
3177,
3293,
1105,
8712,
3177,
3293,
119,
15047,
1104,
12424,
119,
1130,
15047,
1104,
22694,
1116,
117,
5097,
122,
782,
4650,
1495,
119,
18919,
117,
1371,
119,
164,
1479,
166,
4271,
17228,
8384,
2042,
117,
3350,
25957,
1320,
117,
1105,
1795,
156,
1183,
10704,
1320,
119,
19928,
131,
1109,
1248,
118,
3964,
1113,
1988,
2438,
1197
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Bill",
"##e",
".",
"A",
"survey",
"on",
"tree",
"edit",
"distance",
"and",
"related",
"problems",
".",
"Theo",
"##ret",
"##ical",
"computer",
"science",
",",
"33",
"##7",
"(",
"1",
")",
":",
"217",
"β",
"239",
",",
"2005",
".",
"[",
"8",
"]",
"Vita",
"##lik",
"But",
"##eri",
"##n",
".",
"A",
"next",
"-",
"generation",
"smart",
"contract",
"and",
"decent",
"##ral",
"##ized",
"application",
"platform",
".",
"white",
"paper",
",",
"2014",
".",
"[",
"9",
"]",
"Christian",
"C",
"##achi",
"##n",
",",
"Simon",
"Schubert",
",",
"and",
"Mark",
"##o",
"V",
"##uk",
"##olic",
".",
"Non",
"-",
"de",
"##ter",
"##mini",
"##sm",
"in",
"by",
"##zan",
"##tine",
"fault",
"-",
"tolerant",
"replication",
".",
"In",
"20th",
"Inter",
"##na",
"-",
"t",
"##ional",
"Conference",
"on",
"Principles",
"of",
"Di",
"##st",
"##ri",
"##buted",
"Systems",
",",
"O",
"##PO",
"##DI",
"##S",
"2016",
",",
"December",
"13",
"-",
"16",
",",
"2016",
",",
"Madrid",
",",
"Spain",
",",
"pages",
"24",
":",
"1",
"β",
"24",
":",
"16",
",",
"2016",
".",
"[",
"10",
"]",
"Miguel",
"Castro",
"and",
"Barbara",
"Li",
"##sko",
"##v",
".",
"P",
"##ractical",
"by",
"##zan",
"##tine",
"fault",
"tolerance",
"and",
"pro",
"##active",
"recovery",
".",
"AC",
"##M",
"Trans",
"##actions",
"on",
"Computer",
"Systems",
"(",
"TO",
"##CS",
")",
",",
"20",
"(",
"4",
")",
":",
"39",
"##8",
"β",
"46",
"##1",
",",
"2002",
".",
"[",
"11",
"]",
"Intel",
"Corporation",
".",
"Intel",
"software",
"guard",
"extensions",
"(",
"in",
"##tel",
"s",
"##g",
"##x",
")",
"s",
"##d",
"##k",
".",
"https",
":",
"/",
"/",
"software",
".",
"in",
"##tel",
".",
"com",
"/",
"en",
"-",
"us",
"/",
"s",
"##g",
"##x",
"-",
"s",
"##d",
"##k",
".",
"Access",
"##ed",
":",
"2017",
"-",
"08",
"-",
"29",
".",
"[",
"12",
"]",
"Pedro",
"Costa",
",",
"Marcel",
"##o",
"Pa",
"##sin",
",",
"Al",
"##ys",
"##son",
"N",
"Be",
"##ssa",
"##ni",
",",
"and",
"Miguel",
"Co",
"##rre",
"##ia",
".",
"Byzantine",
"fault",
"-",
"tolerant",
"map",
"##red",
"##uce",
":",
"F",
"##ault",
"##s",
"are",
"not",
"just",
"crashes",
".",
"In",
"Cloud",
"Computing",
"Technology",
"and",
"Science",
"(",
"Cloud",
"##C",
"##om",
")",
",",
"2011",
"IEEE",
"Third",
"International",
"Conference",
"on",
",",
"pages",
"32",
"β",
"39",
".",
"IEEE",
",",
"2011",
".",
"[",
"13",
"]",
"Tyler",
"C",
"##rain",
",",
"Vincent",
"Gram",
"##oli",
",",
"Mike",
"##l",
"La",
"##rre",
"##a",
",",
"and",
"Michel",
"Ray",
"##nal",
".",
"(",
"leader",
"/",
"random",
"##ization",
"/",
"signature",
")",
"-",
"free",
"by",
"##zan",
"##tine",
"consensus",
"for",
"con",
"##sor",
"-",
"t",
"##ium",
"block",
"##cha",
"##ins",
".",
"Co",
"##R",
"##R",
",",
"a",
"##bs",
"/",
"170",
"##2",
".",
"03",
"##0",
"##6",
"##8",
",",
"2017",
".",
"[",
"14",
"]",
"Se",
"##bas",
"##tia",
"##an",
"Dee",
"##tman",
".",
"Bit",
"##co",
"##in",
"Could",
"Con",
"##sume",
"as",
"Much",
"Electricity",
"as",
"Denmark",
"by",
"2020",
".",
"https",
":",
"/",
"/",
"mother",
"##board",
".",
"vice",
".",
"com",
"/",
"en",
"us",
"/",
"article",
"/",
"a",
"##ek",
"##3",
"##za",
"/",
"bit",
"##co",
"##in",
"-",
"could",
"-",
"consume",
"-",
"as",
"-",
"much",
"-",
"electricity",
"-",
"as",
"-",
"den",
"##mark",
"-",
"by",
"-",
"2020",
".",
"A",
"##c",
"-",
"c",
"##essed",
":",
"2017",
"-",
"09",
"-",
"05",
".",
"[",
"15",
"]",
"Michel",
"Marie",
"De",
"##za",
"and",
"Elena",
"De",
"##za",
".",
"Encyclopedia",
"of",
"distances",
".",
"In",
"Encyclopedia",
"of",
"Distance",
"##s",
",",
"pages",
"1",
"β",
"58",
"##3",
".",
"Springer",
",",
"2009",
".",
"[",
"16",
"]",
"Roger",
"Din",
"##gled",
"##ine",
",",
"Nick",
"Mathews",
"##on",
",",
"and",
"Paul",
"S",
"##y",
"##vers",
"##on",
".",
"Tor",
":",
"The",
"second",
"-",
"generation",
"on",
"##ion",
"route",
"##r"
] | Sustainable blockchain through proof of exercise | 600 |
search for a random nonce
that once hashed with the digest of the block header generates
a hash of a predefined number of leading zeros (see details
in Section III). This hard "work" has two main roles. The
first is to stand as a Proof of Work to generate, i.e., mine,
Bitcoins as a reward to miners for maintaining the blockchain
and verifying the protocol's correctness. The second is to
tune the rate of creating blocks by forcing a global consensus
through periodically calibrating the hardness of th | [
2617,
1162,
119,
138,
5980,
1113,
2780,
14609,
2462,
1105,
2272,
2645,
119,
15840,
8127,
4571,
2775,
2598,
117,
3081,
1559,
113,
122,
114,
131,
22196,
782,
26479,
117,
1478,
119,
164,
129,
166,
25118,
19921,
1252,
9866,
1179,
119,
138,
1397,
118,
3964,
6866,
2329,
1105,
11858,
4412,
2200,
4048,
3482,
119,
1653,
2526,
117,
1387,
119,
164,
130,
166,
2131,
140,
19226,
1179,
117,
3274,
27823,
117,
1105,
2392,
1186,
159,
7563,
14987,
119,
7922,
118,
1260,
2083,
25685,
6602,
1107,
1118,
14883,
12569,
6088,
118,
26827,
25544,
119,
1130,
3116,
11300,
1605,
118,
189,
12115,
3047,
1113,
22265,
1104,
12120,
2050,
2047,
24595,
6475,
117,
152,
23329,
17243,
1708,
1446,
117,
1382,
1492,
118,
1479,
117,
1446,
117,
6331,
117,
2722,
117,
5097,
1572,
131,
122,
782,
1572,
131,
1479,
117,
1446,
119,
164,
1275,
166,
7975,
11919,
1105,
5934,
5255,
20428,
1964,
119,
153,
18890,
1118,
14883,
12569,
6088,
15745,
1105,
5250,
19667,
7593,
119,
9690,
2107,
13809,
22946,
1113,
6701,
6475,
113,
16972,
12122,
114,
117,
1406,
113,
125,
114,
131,
3614,
1604,
782,
3993,
1475,
117,
1617,
119,
164,
1429,
166,
15397,
3436,
119,
15397,
3594,
3542,
16003,
113,
1107,
7854,
188,
1403,
1775,
114,
188,
1181,
1377,
119,
18630,
131,
120,
120,
3594,
119,
1107,
7854,
119,
3254,
120,
4035,
118,
1366,
120,
188,
1403,
1775,
118,
188,
1181,
1377,
119,
11737,
1174,
131,
1504,
118,
4775,
118,
1853,
119,
164,
1367,
166,
7233,
7176,
117,
13737,
1186,
19585,
10606,
117,
2586,
6834,
2142,
151,
4108,
11655,
2605,
117,
1105,
7975,
3291,
11604,
1465,
119,
8377,
6088,
118,
26827,
4520,
4359,
15776,
131,
143,
14045,
1116,
1132,
1136,
1198,
21110,
119,
1130,
11804,
20463,
3529,
1105,
2444,
113,
11804,
1658,
4165,
114,
117,
1349,
16206,
4180,
1570,
3047,
1113,
117,
5097,
2724,
782,
3614,
119,
16206,
117,
1349,
119,
164,
1492,
166,
6952,
140,
11098,
117,
5665,
19891,
11014,
117,
2639,
1233,
2001,
11604,
1161,
117,
1105,
8372,
4150,
7050,
119,
113,
2301,
120,
7091,
2734,
120,
8250,
114,
118,
1714,
1118,
14883,
12569,
10923,
1111,
14255,
21484,
118,
189,
3656,
3510,
7147,
4935,
119,
3291,
2069,
2069,
117,
170,
4832,
120,
10837,
1477,
119,
5347,
1568,
1545,
1604,
117,
1504,
119,
164,
1489,
166,
22087,
16531,
10691,
1389,
9115,
21544,
119,
27400,
2528,
1394,
7426,
16752,
22369,
1112,
6335,
23017,
1112,
5140,
1118,
12795,
119,
18630,
131,
120,
120,
1534,
4015,
119,
4711,
119,
3254,
120,
4035,
1366,
120,
3342,
120,
170,
4820,
1495,
3293,
120,
2113,
2528,
1394,
118,
1180,
118,
17914,
118,
1112,
118,
1277,
118,
6495,
118,
1112,
118,
10552,
8519,
118,
1118,
118,
12795,
119,
138,
1665,
118,
172,
24940,
131,
1504,
118,
4925,
118,
4991,
119,
164,
1405,
166,
8372,
4238,
3177,
3293,
1105,
8712,
3177,
3293,
119,
15047,
1104,
12424,
119,
1130,
15047,
1104,
22694,
1116,
117,
5097,
122,
782,
4650,
1495,
119,
18919,
117,
1371,
119,
164,
1479,
166,
4271,
17228,
8384,
2042,
117,
3350,
25957,
1320,
117,
1105,
1795,
156,
1183,
10704,
1320,
119,
19928,
131,
1109,
1248,
118,
3964,
1113,
1988,
2438,
1197
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Bill",
"##e",
".",
"A",
"survey",
"on",
"tree",
"edit",
"distance",
"and",
"related",
"problems",
".",
"Theo",
"##ret",
"##ical",
"computer",
"science",
",",
"33",
"##7",
"(",
"1",
")",
":",
"217",
"β",
"239",
",",
"2005",
".",
"[",
"8",
"]",
"Vita",
"##lik",
"But",
"##eri",
"##n",
".",
"A",
"next",
"-",
"generation",
"smart",
"contract",
"and",
"decent",
"##ral",
"##ized",
"application",
"platform",
".",
"white",
"paper",
",",
"2014",
".",
"[",
"9",
"]",
"Christian",
"C",
"##achi",
"##n",
",",
"Simon",
"Schubert",
",",
"and",
"Mark",
"##o",
"V",
"##uk",
"##olic",
".",
"Non",
"-",
"de",
"##ter",
"##mini",
"##sm",
"in",
"by",
"##zan",
"##tine",
"fault",
"-",
"tolerant",
"replication",
".",
"In",
"20th",
"Inter",
"##na",
"-",
"t",
"##ional",
"Conference",
"on",
"Principles",
"of",
"Di",
"##st",
"##ri",
"##buted",
"Systems",
",",
"O",
"##PO",
"##DI",
"##S",
"2016",
",",
"December",
"13",
"-",
"16",
",",
"2016",
",",
"Madrid",
",",
"Spain",
",",
"pages",
"24",
":",
"1",
"β",
"24",
":",
"16",
",",
"2016",
".",
"[",
"10",
"]",
"Miguel",
"Castro",
"and",
"Barbara",
"Li",
"##sko",
"##v",
".",
"P",
"##ractical",
"by",
"##zan",
"##tine",
"fault",
"tolerance",
"and",
"pro",
"##active",
"recovery",
".",
"AC",
"##M",
"Trans",
"##actions",
"on",
"Computer",
"Systems",
"(",
"TO",
"##CS",
")",
",",
"20",
"(",
"4",
")",
":",
"39",
"##8",
"β",
"46",
"##1",
",",
"2002",
".",
"[",
"11",
"]",
"Intel",
"Corporation",
".",
"Intel",
"software",
"guard",
"extensions",
"(",
"in",
"##tel",
"s",
"##g",
"##x",
")",
"s",
"##d",
"##k",
".",
"https",
":",
"/",
"/",
"software",
".",
"in",
"##tel",
".",
"com",
"/",
"en",
"-",
"us",
"/",
"s",
"##g",
"##x",
"-",
"s",
"##d",
"##k",
".",
"Access",
"##ed",
":",
"2017",
"-",
"08",
"-",
"29",
".",
"[",
"12",
"]",
"Pedro",
"Costa",
",",
"Marcel",
"##o",
"Pa",
"##sin",
",",
"Al",
"##ys",
"##son",
"N",
"Be",
"##ssa",
"##ni",
",",
"and",
"Miguel",
"Co",
"##rre",
"##ia",
".",
"Byzantine",
"fault",
"-",
"tolerant",
"map",
"##red",
"##uce",
":",
"F",
"##ault",
"##s",
"are",
"not",
"just",
"crashes",
".",
"In",
"Cloud",
"Computing",
"Technology",
"and",
"Science",
"(",
"Cloud",
"##C",
"##om",
")",
",",
"2011",
"IEEE",
"Third",
"International",
"Conference",
"on",
",",
"pages",
"32",
"β",
"39",
".",
"IEEE",
",",
"2011",
".",
"[",
"13",
"]",
"Tyler",
"C",
"##rain",
",",
"Vincent",
"Gram",
"##oli",
",",
"Mike",
"##l",
"La",
"##rre",
"##a",
",",
"and",
"Michel",
"Ray",
"##nal",
".",
"(",
"leader",
"/",
"random",
"##ization",
"/",
"signature",
")",
"-",
"free",
"by",
"##zan",
"##tine",
"consensus",
"for",
"con",
"##sor",
"-",
"t",
"##ium",
"block",
"##cha",
"##ins",
".",
"Co",
"##R",
"##R",
",",
"a",
"##bs",
"/",
"170",
"##2",
".",
"03",
"##0",
"##6",
"##8",
",",
"2017",
".",
"[",
"14",
"]",
"Se",
"##bas",
"##tia",
"##an",
"Dee",
"##tman",
".",
"Bit",
"##co",
"##in",
"Could",
"Con",
"##sume",
"as",
"Much",
"Electricity",
"as",
"Denmark",
"by",
"2020",
".",
"https",
":",
"/",
"/",
"mother",
"##board",
".",
"vice",
".",
"com",
"/",
"en",
"us",
"/",
"article",
"/",
"a",
"##ek",
"##3",
"##za",
"/",
"bit",
"##co",
"##in",
"-",
"could",
"-",
"consume",
"-",
"as",
"-",
"much",
"-",
"electricity",
"-",
"as",
"-",
"den",
"##mark",
"-",
"by",
"-",
"2020",
".",
"A",
"##c",
"-",
"c",
"##essed",
":",
"2017",
"-",
"09",
"-",
"05",
".",
"[",
"15",
"]",
"Michel",
"Marie",
"De",
"##za",
"and",
"Elena",
"De",
"##za",
".",
"Encyclopedia",
"of",
"distances",
".",
"In",
"Encyclopedia",
"of",
"Distance",
"##s",
",",
"pages",
"1",
"β",
"58",
"##3",
".",
"Springer",
",",
"2009",
".",
"[",
"16",
"]",
"Roger",
"Din",
"##gled",
"##ine",
",",
"Nick",
"Mathews",
"##on",
",",
"and",
"Paul",
"S",
"##y",
"##vers",
"##on",
".",
"Tor",
":",
"The",
"second",
"-",
"generation",
"on",
"##ion",
"route",
"##r"
] | Sustainable blockchain through proof of exercise | 601 |
e puzzle β
by simply changing the required number of leading zeros in
the hash. The rate of Bitcoin's block creation is usually tuned
to around six blocks per hour.
The interesting properties of Bitcoin's PoW, i.e., being hard
to solve and easy to verify (among others discussed next),
come at the price of high computation demands, reflected
as a steep energy consumption similar to the electricity con-
sumption of entire countries [38], [14]. Consequently, despite
the essential guarantees that Bit | [
119,
6846,
2592,
117,
4715,
2713,
14470,
1994,
5227,
117,
1516,
119,
164,
1542,
166,
16754,
141,
5361,
1105,
22401,
1182,
11896,
1766,
119,
153,
4907,
1158,
2258,
6165,
1137,
4127,
1916,
22323,
6346,
119,
1130,
8451,
1570,
15586,
6451,
4807,
3047,
117,
5097,
17683,
782,
17491,
119,
18919,
117,
1924,
119,
164,
1407,
166,
23612,
2660,
17355,
4474,
1105,
19274,
9198,
13380,
1186,
119,
2710,
1193,
1396,
2047,
18771,
2165,
11703,
1104,
1415,
19068,
1116,
1105,
8952,
3254,
19675,
1116,
117,
1114,
4683,
119,
1130,
20661,
1104,
1103,
1368,
9690,
2107,
3511,
1113,
6701,
1105,
6678,
2699,
117,
5097,
17196,
782,
27445,
119,
9690,
2107,
117,
1368,
119,
164,
1627,
166,
1760,
1968,
144,
12487,
3452,
13986,
1105,
2392,
145,
3278,
7317,
1116,
119,
1212,
170,
1705,
1104,
184,
113,
183,
1477,
114,
2645,
1107,
19903,
12053,
119,
3291,
8223,
15012,
15937,
12053,
117,
126,
113,
124,
114,
131,
14383,
782,
16183,
117,
1876,
119,
164,
1406,
166,
13997,
7220,
6851,
20756,
1105,
5023,
146,
8223,
8517,
4567,
12550,
119,
2926,
1582,
26205,
7050,
21118,
1110,
1662,
1111,
1148,
118,
1546,
4625,
1113,
22726,
21562,
119,
1130,
10952,
9518,
2858,
18276,
1818,
1113,
3291,
8223,
15012,
15937,
9974,
1785,
113,
16028,
12096,
114,
117,
3884,
1695,
117,
3674,
4389,
117,
1446,
119,
164,
1626,
166,
1681,
3487,
9022,
18974,
117,
1847,
7527,
117,
1105,
1795,
156,
1183,
10704,
1320,
119,
1212,
1988,
19044,
119,
6345,
1104,
1103,
9690,
2107,
117,
3565,
113,
123,
114,
131,
3614,
782,
3746,
117,
1729,
119,
164,
1659,
166,
16890,
4313,
1181,
144,
27519,
6094,
1182,
117,
28010,
148,
1673,
28261,
16491,
117,
159,
11083,
8584,
154,
22476,
1918,
117,
1105,
2392,
1186,
159,
7563,
11014,
7128,
119,
1109,
1397,
5689,
171,
4964,
19755,
119,
1130,
20661,
1104,
1103,
4025,
1735,
3511,
1113,
6701,
2344,
117,
5097,
3164,
1495,
782,
3413,
1545,
119,
9690,
2107,
117,
1333,
119,
164,
1695,
166,
7523,
1430,
2646,
7889,
1105,
27453,
1197,
156,
2328,
5086,
1204,
119,
1109,
1893,
1104,
4321,
1643,
2180,
22371,
1766,
4159,
119,
4461,
26517,
1179,
117,
1349,
119,
164,
1572,
166,
9768,
119,
145,
24312,
19693,
1197,
8113,
119,
18630,
131,
120,
120,
7001,
119,
178,
1830,
1306,
119,
3254,
120,
3510,
7147,
1394,
120,
177,
24312,
19693,
1197,
119,
28066,
119,
11737,
1174,
131,
1504,
118,
4925,
118,
1405,
119,
164,
1512,
166,
18732,
9272,
131,
107,
1735,
17612,
1107,
2444,
1105,
3529,
107,
26546,
17281,
1708,
138,
1665,
118,
189,
1988,
146,
1658,
17668,
1568,
1571,
119,
3998,
1111,
10940,
18737,
26996,
1513,
12783,
119,
8413,
131,
120,
120,
7001,
119,
24928,
14410,
119,
174,
1358,
120,
119,
164,
1744,
166,
27400,
1918,
1394,
14164,
3561,
119,
1760,
1204,
9685,
1197,
8172,
119,
18630,
131,
120,
120,
4130,
119,
2113,
1918,
1394,
119,
3254,
120,
1514,
119,
177,
1204,
1306,
136,
2495,
2118,
134,
4035,
108,
188,
25392,
118,
18311,
119,
11737,
1174,
131,
1504,
118,
4925,
118,
1405,
119,
164,
1765,
166,
2893,
118,
1795,
18757,
9524,
6094,
1179,
117,
16890,
4313,
1181,
144,
27519,
6094,
1182,
117,
1105,
4149
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
"Technical",
"report",
",",
"Naval",
"Research",
"Lab",
"Washington",
"DC",
",",
"2004",
".",
"[",
"17",
"]",
"Cynthia",
"D",
"##work",
"and",
"Mon",
"##i",
"Na",
"##or",
".",
"P",
"##ric",
"##ing",
"via",
"processing",
"or",
"combat",
"##ting",
"junk",
"mail",
".",
"In",
"Annual",
"International",
"Cry",
"##pt",
"##ology",
"Conference",
",",
"pages",
"139",
"β",
"147",
".",
"Springer",
",",
"1992",
".",
"[",
"18",
"]",
"Dar",
"##io",
"Fi",
"##ore",
"and",
"Rosario",
"Gen",
"##nar",
"##o",
".",
"Public",
"##ly",
"ve",
"##ri",
"##fia",
"##ble",
"delegation",
"of",
"large",
"polynomial",
"##s",
"and",
"matrix",
"com",
"##putation",
"##s",
",",
"with",
"applications",
".",
"In",
"Proceedings",
"of",
"the",
"2012",
"AC",
"##M",
"conference",
"on",
"Computer",
"and",
"communications",
"security",
",",
"pages",
"501",
"β",
"512",
".",
"AC",
"##M",
",",
"2012",
".",
"[",
"19",
"]",
"An",
"##ka",
"G",
"##aj",
"##ent",
"##aan",
"and",
"Mark",
"H",
"Over",
"##mar",
"##s",
".",
"On",
"a",
"class",
"of",
"o",
"(",
"n",
"##2",
")",
"problems",
"in",
"computational",
"geometry",
".",
"Co",
"##mp",
"##uta",
"##tional",
"geometry",
",",
"5",
"(",
"3",
")",
":",
"165",
"β",
"185",
",",
"1995",
".",
"[",
"20",
"]",
"Ji",
"##aw",
"##ei",
"Gao",
"and",
"Russell",
"I",
"##mp",
"##ag",
"##lia",
"##zzo",
".",
"Or",
"##th",
"##ogo",
"##nal",
"vectors",
"is",
"hard",
"for",
"first",
"-",
"order",
"properties",
"on",
"sparse",
"graphs",
".",
"In",
"Electronic",
"Col",
"##lo",
"##qui",
"##um",
"on",
"Co",
"##mp",
"##uta",
"##tional",
"Complex",
"##ity",
"(",
"EC",
"##CC",
")",
",",
"volume",
"23",
",",
"page",
"53",
",",
"2016",
".",
"[",
"21",
"]",
"David",
"Gold",
"##sch",
"##lag",
",",
"Michael",
"Reed",
",",
"and",
"Paul",
"S",
"##y",
"##vers",
"##on",
".",
"On",
"##ion",
"routing",
".",
"Communications",
"of",
"the",
"AC",
"##M",
",",
"42",
"(",
"2",
")",
":",
"39",
"β",
"41",
",",
"1999",
".",
"[",
"22",
"]",
"Ra",
"##chi",
"##d",
"G",
"##uerra",
"##ou",
"##i",
",",
"Nikola",
"K",
"##ne",
"##ΕΎ",
"##eviΔ",
",",
"V",
"##iv",
"##ien",
"Q",
"##uΓ©",
"##ma",
",",
"and",
"Mark",
"##o",
"V",
"##uk",
"##oli",
"##Δ",
".",
"The",
"next",
"700",
"b",
"##ft",
"protocols",
".",
"In",
"Proceedings",
"of",
"the",
"5th",
"European",
"conference",
"on",
"Computer",
"systems",
",",
"pages",
"36",
"##3",
"β",
"37",
"##6",
".",
"AC",
"##M",
",",
"2010",
".",
"[",
"23",
"]",
"Maurice",
"Her",
"##li",
"##hy",
"and",
"Ni",
"##r",
"S",
"##ha",
"##vi",
"##t",
".",
"The",
"art",
"of",
"multi",
"##p",
"##ro",
"##cess",
"##or",
"programming",
".",
"Morgan",
"Kaufman",
"##n",
",",
"2011",
".",
"[",
"24",
"]",
"IBM",
".",
"H",
"##yper",
"##ledge",
"##r",
"fabric",
".",
"https",
":",
"/",
"/",
"www",
".",
"i",
"##b",
"##m",
".",
"com",
"/",
"block",
"##cha",
"##in",
"/",
"h",
"##yper",
"##ledge",
"##r",
".",
"html",
".",
"Access",
"##ed",
":",
"2017",
"-",
"09",
"-",
"15",
".",
"[",
"25",
"]",
"CO",
"##ST",
":",
"\"",
"European",
"Cooperation",
"in",
"Science",
"and",
"Technology",
"\"",
"NE",
"##SU",
"##S",
"A",
"##c",
"-",
"t",
"##ion",
"I",
"##C",
"##13",
"##0",
"##5",
".",
"Network",
"for",
"sustainable",
"ultra",
"##sca",
"##le",
"computing",
".",
"http",
":",
"/",
"/",
"www",
".",
"ne",
"##sus",
".",
"e",
"##u",
"/",
".",
"[",
"26",
"]",
"Bit",
"##ma",
"##in",
"Technologies",
"Inc",
".",
"An",
"##t",
"##mine",
"##r",
"hardware",
".",
"https",
":",
"/",
"/",
"shop",
".",
"bit",
"##ma",
"##in",
".",
"com",
"/",
"main",
".",
"h",
"##t",
"##m",
"?",
"la",
"##ng",
"=",
"en",
"#",
"s",
"##pec",
"-",
"para",
".",
"Access",
"##ed",
":",
"2017",
"-",
"09",
"-",
"15",
".",
"[",
"27",
"]",
"Jean",
"-",
"Paul",
"Ba",
"##hs",
"##ou",
"##n",
",",
"Ra",
"##chi",
"##d",
"G",
"##uerra",
"##ou",
"##i",
",",
"and",
"Ali"
] | Sustainable blockchain through proof of exercise | 602 |
coin's PoW provides, like
security and maintaining the blockchain, many researchers
consider finding the nonce a waste of energy being "useless".
This motivated more sustainable alternatives like Proof of
Stake [30], Proof of Activity [6], Proof of Retrievability [35],
and Proofs of Useful Work [5].
III. BITCOIN'S POW PROPERTIES AND CHALLENGES
The several attempts to make the hash-based PoW in [30],
[6], [35], [5], [33], [42] were either limited to a narrow
range of concrete "useful work" or intro | [
156,
5114,
4188,
119,
10697,
139,
26321,
17580,
1116,
8762,
19222,
6451,
2109,
119,
1130,
1130,
1103,
20661,
1104,
1103,
17333,
16206,
1570,
23994,
4838,
1233,
111,
12120,
2050,
2047,
24595,
18821,
1158,
26520,
117,
14274,
13339,
1708,
112,
1405,
119,
16206,
118,
24821,
117,
1318,
1410,
119,
164,
1743,
166,
18285,
1161,
14812,
15197,
5077,
1105,
2586,
4820,
9995,
7858,
9190,
1596,
119,
11336,
8178,
2354,
3408,
4454,
1106,
1167,
1190,
170,
3775,
1234,
119,
18630,
131,
120,
120,
3463,
119,
1339,
6470,
119,
3254,
120,
8345,
120,
5942,
16382,
1580,
1580,
23249,
23249,
26253,
1545,
1545,
1559,
120,
18029,
1158,
118,
4454,
118,
1106,
118,
1167,
118,
1190,
118,
170,
118,
3775,
118,
1234,
120,
119,
11737,
1174,
131,
1504,
118,
4775,
118,
1853,
119,
164,
1853,
166,
17321,
1624,
119,
3460,
2528,
1394,
131,
15586,
6451,
13335,
2149,
5123,
3457,
1114,
5748,
1295,
6777,
118,
1104,
118,
1250,
119,
1351,
4766,
117,
1381,
119,
164,
1476,
166,
17321,
1624,
1105,
2796,
11896,
6919,
119,
153,
1643,
2528,
1394,
131,
153,
8284,
118,
1106,
118,
8536,
5354,
6451,
1186,
118,
10202,
1114,
6777,
118,
1104,
118,
8219,
119,
2191,
118,
1502,
2526,
117,
1360,
117,
1627,
117,
1368,
119,
164,
1955,
166,
15078,
1377,
4889,
7272,
1161,
19892,
26414,
1161,
117,
12662,
2586,
9356,
1182,
117,
2639,
10136,
8495,
1394,
117,
4522,
13875,
117,
1105,
9196,
12021,
119,
163,
1183,
18894,
2497,
131,
188,
25908,
1118,
14883,
12569,
6088,
15745,
119,
1130,
9690,
2107,
156,
23413,
17195,
1708,
20961,
6475,
4960,
117,
3884,
3746,
117,
5097,
2532,
782,
4650,
119,
9690,
2107,
117,
1384,
119,
164,
2724,
166,
147,
5024,
148,
16732,
119,
5157,
2692,
7937,
1204,
131,
16752,
3792,
14410,
1443,
5463,
119,
7060,
191,
119,
121,
119,
127,
117,
2303,
117,
1387,
119,
164,
3081,
166,
2979,
2001,
10205,
1200,
119,
9352,
12606,
2913,
6777,
118,
1104,
118,
8219,
113,
173,
5674,
1116,
114,
119,
27400,
5480,
1874,
1653,
26311,
117,
1387,
119,
164,
3236,
166,
7726,
10605,
6633,
119,
142,
2050,
27182,
3655,
22620,
1733,
1785,
1107,
18273,
16986,
119,
1130,
1570,
3047,
1113,
7792,
9681,
117,
5097,
22196,
782,
15684,
117,
1381,
119,
164,
2588,
166,
3217,
3902,
117,
10789,
23915,
5999,
117,
16081,
14104,
117,
8129,
19585,
11791,
117,
1105,
4947,
22795,
119,
14286,
1918,
2528,
1394,
131,
20777,
2149,
5674,
4253,
2113,
2528,
1394,
1250,
1111,
2233,
10149,
119,
1130,
4354,
1105,
153,
2047,
2497,
3457,
113,
16625,
114,
117,
1387,
16206,
26520,
1113,
117,
5097,
3862,
1571,
782,
24680,
119,
16206,
117,
1387,
119,
164,
3164,
166,
140,
23403,
1162,
12556,
2879,
119,
1109,
11308,
2026,
8952,
3254,
19675,
119,
1109,
15112,
28039,
117,
3561,
119,
117,
1617,
119,
164,
3413,
166,
26824,
5933,
11896,
1968,
12610,
119,
27400,
2528,
1394,
131,
138,
8536,
118,
1106,
118,
8536,
4828,
5948,
1449,
119,
18630,
131,
120,
120,
2113,
2528,
1394,
119,
8916,
120,
2113,
2528,
1394,
119,
185,
1181,
2087,
119,
164,
3383,
166,
5728,
147,
152,
112,
141,
17953,
1200,
1105,
1681,
17571,
119,
27400,
2528,
1394,
5463,
1105,
1157,
2308
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
13,
14,
14,
14,
14,
0,
1,
2,
2,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
13,
14,
14,
14,
14,
0,
1,
2,
2,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"S",
"##ho",
"##ker",
".",
"Making",
"B",
"##FT",
"Protocol",
"##s",
"Really",
"Ada",
"##pt",
"##ive",
".",
"In",
"In",
"the",
"Proceedings",
"of",
"the",
"29th",
"IEEE",
"International",
"Para",
"##lle",
"##l",
"&",
"Di",
"##st",
"##ri",
"##buted",
"Process",
"##ing",
"Symposium",
",",
"IP",
"##DP",
"##S",
"'",
"15",
".",
"IEEE",
"-",
"CS",
",",
"May",
"2015",
".",
"[",
"28",
"]",
"Maj",
"##a",
"Ka",
"##bil",
"##jo",
"and",
"Al",
"##ek",
"##san",
"##dar",
"Il",
"##ic",
".",
"Re",
"##com",
"##men",
"##ding",
"items",
"to",
"more",
"than",
"a",
"billion",
"people",
".",
"https",
":",
"/",
"/",
"code",
".",
"face",
"##book",
".",
"com",
"/",
"posts",
"/",
"86",
"##19",
"##9",
"##9",
"##38",
"##38",
"##75",
"##6",
"##6",
"##7",
"/",
"recommend",
"##ing",
"-",
"items",
"-",
"to",
"-",
"more",
"-",
"than",
"-",
"a",
"-",
"billion",
"-",
"people",
"/",
".",
"Access",
"##ed",
":",
"2017",
"-",
"08",
"-",
"29",
".",
"[",
"29",
"]",
"Sunny",
"King",
".",
"Prime",
"##co",
"##in",
":",
"Cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cy",
"with",
"prime",
"number",
"proof",
"-",
"of",
"-",
"work",
".",
"July",
"7th",
",",
"2013",
".",
"[",
"30",
"]",
"Sunny",
"King",
"and",
"Scott",
"Na",
"##dal",
".",
"P",
"##p",
"##co",
"##in",
":",
"P",
"##eer",
"-",
"to",
"-",
"peer",
"cry",
"##pt",
"##o",
"-",
"currency",
"with",
"proof",
"-",
"of",
"-",
"stake",
".",
"self",
"-",
"published",
"paper",
",",
"August",
",",
"19",
",",
"2012",
".",
"[",
"31",
"]",
"Rama",
"##k",
"##ris",
"##hn",
"##a",
"Ko",
"##tl",
"##a",
",",
"Lorenzo",
"Al",
"##vis",
"##i",
",",
"Mike",
"Da",
"##hl",
"##in",
",",
"Allen",
"Clement",
",",
"and",
"Edmund",
"Wong",
".",
"Z",
"##y",
"##zzy",
"##va",
":",
"s",
"##peculative",
"by",
"##zan",
"##tine",
"fault",
"tolerance",
".",
"In",
"AC",
"##M",
"S",
"##IG",
"##OP",
"##S",
"Operating",
"Systems",
"Review",
",",
"volume",
"41",
",",
"pages",
"45",
"β",
"58",
".",
"AC",
"##M",
",",
"2007",
".",
"[",
"32",
"]",
"J",
"##ae",
"K",
"##won",
".",
"Ten",
"##der",
"##min",
"##t",
":",
"Con",
"##sen",
"##sus",
"without",
"mining",
".",
"Draft",
"v",
".",
"0",
".",
"6",
",",
"fall",
",",
"2014",
".",
"[",
"33",
"]",
"Daniel",
"La",
"##rim",
"##er",
".",
"Del",
"##eg",
"##ated",
"proof",
"-",
"of",
"-",
"stake",
"(",
"d",
"##po",
"##s",
")",
".",
"Bit",
"##sha",
"##re",
"white",
"##paper",
",",
"2014",
".",
"[",
"34",
"]",
"Miles",
"Lo",
"##pes",
".",
"E",
"##st",
"##imating",
"unknown",
"spa",
"##rs",
"##ity",
"in",
"compressed",
"sensing",
".",
"In",
"International",
"Conference",
"on",
"Machine",
"Learning",
",",
"pages",
"217",
"β",
"225",
",",
"2013",
".",
"[",
"35",
"]",
"Andrew",
"Miller",
",",
"Ari",
"Ju",
"##els",
",",
"Elaine",
"Shi",
",",
"Bryan",
"Pa",
"##rno",
",",
"and",
"Jonathan",
"Katz",
".",
"Per",
"##ma",
"##co",
"##in",
":",
"Rep",
"##ur",
"##po",
"##sing",
"bit",
"##co",
"##in",
"work",
"for",
"data",
"preservation",
".",
"In",
"Security",
"and",
"P",
"##ri",
"##va",
"##cy",
"(",
"SP",
")",
",",
"2014",
"IEEE",
"Symposium",
"on",
",",
"pages",
"47",
"##5",
"β",
"490",
".",
"IEEE",
",",
"2014",
".",
"[",
"36",
"]",
"C",
"##lev",
"##e",
"Mo",
"##ler",
".",
"The",
"worlds",
"largest",
"matrix",
"com",
"##putation",
".",
"The",
"Math",
"##Works",
",",
"Inc",
".",
",",
"2002",
".",
"[",
"37",
"]",
"Sato",
"##shi",
"Na",
"##ka",
"##moto",
".",
"Bit",
"##co",
"##in",
":",
"A",
"peer",
"-",
"to",
"-",
"peer",
"electronic",
"cash",
"system",
".",
"https",
":",
"/",
"/",
"bit",
"##co",
"##in",
".",
"org",
"/",
"bit",
"##co",
"##in",
".",
"p",
"##d",
"##f",
".",
"[",
"38",
"]",
"Karl",
"J",
"O",
"'",
"D",
"##wy",
"##er",
"and",
"David",
"Malone",
".",
"Bit",
"##co",
"##in",
"mining",
"and",
"its",
"energy"
] | Sustainable blockchain through proof of exercise | 603 |
coin's PoW provides, like
security and maintaining the blockchain, many researchers
consider finding the nonce a waste of energy being "useless".
This motivated more sustainable alternatives like Proof of
Stake [30], Proof of Activity [6], Proof of Retrievability [35],
and Proofs of Useful Work [5].
III. BITCOIN'S POW PROPERTIES AND CHALLENGES
The several attempts to make the hash-based PoW in [30],
[6], [35], [5], [33], [42] were either limited to a narrow
range of concrete "useful work" or intro | [
156,
5114,
4188,
119,
10697,
139,
26321,
17580,
1116,
8762,
19222,
6451,
2109,
119,
1130,
1130,
1103,
20661,
1104,
1103,
17333,
16206,
1570,
23994,
4838,
1233,
111,
12120,
2050,
2047,
24595,
18821,
1158,
26520,
117,
14274,
13339,
1708,
112,
1405,
119,
16206,
118,
24821,
117,
1318,
1410,
119,
164,
1743,
166,
18285,
1161,
14812,
15197,
5077,
1105,
2586,
4820,
9995,
7858,
9190,
1596,
119,
11336,
8178,
2354,
3408,
4454,
1106,
1167,
1190,
170,
3775,
1234,
119,
18630,
131,
120,
120,
3463,
119,
1339,
6470,
119,
3254,
120,
8345,
120,
5942,
16382,
1580,
1580,
23249,
23249,
26253,
1545,
1545,
1559,
120,
18029,
1158,
118,
4454,
118,
1106,
118,
1167,
118,
1190,
118,
170,
118,
3775,
118,
1234,
120,
119,
11737,
1174,
131,
1504,
118,
4775,
118,
1853,
119,
164,
1853,
166,
17321,
1624,
119,
3460,
2528,
1394,
131,
15586,
6451,
13335,
2149,
5123,
3457,
1114,
5748,
1295,
6777,
118,
1104,
118,
1250,
119,
1351,
4766,
117,
1381,
119,
164,
1476,
166,
17321,
1624,
1105,
2796,
11896,
6919,
119,
153,
1643,
2528,
1394,
131,
153,
8284,
118,
1106,
118,
8536,
5354,
6451,
1186,
118,
10202,
1114,
6777,
118,
1104,
118,
8219,
119,
2191,
118,
1502,
2526,
117,
1360,
117,
1627,
117,
1368,
119,
164,
1955,
166,
15078,
1377,
4889,
7272,
1161,
19892,
26414,
1161,
117,
12662,
2586,
9356,
1182,
117,
2639,
10136,
8495,
1394,
117,
4522,
13875,
117,
1105,
9196,
12021,
119,
163,
1183,
18894,
2497,
131,
188,
25908,
1118,
14883,
12569,
6088,
15745,
119,
1130,
9690,
2107,
156,
23413,
17195,
1708,
20961,
6475,
4960,
117,
3884,
3746,
117,
5097,
2532,
782,
4650,
119,
9690,
2107,
117,
1384,
119,
164,
2724,
166,
147,
5024,
148,
16732,
119,
5157,
2692,
7937,
1204,
131,
16752,
3792,
14410,
1443,
5463,
119,
7060,
191,
119,
121,
119,
127,
117,
2303,
117,
1387,
119,
164,
3081,
166,
2979,
2001,
10205,
1200,
119,
9352,
12606,
2913,
6777,
118,
1104,
118,
8219,
113,
173,
5674,
1116,
114,
119,
27400,
5480,
1874,
1653,
26311,
117,
1387,
119,
164,
3236,
166,
7726,
10605,
6633,
119,
142,
2050,
27182,
3655,
22620,
1733,
1785,
1107,
18273,
16986,
119,
1130,
1570,
3047,
1113,
7792,
9681,
117,
5097,
22196,
782,
15684,
117,
1381,
119,
164,
2588,
166,
3217,
3902,
117,
10789,
23915,
5999,
117,
16081,
14104,
117,
8129,
19585,
11791,
117,
1105,
4947,
22795,
119,
14286,
1918,
2528,
1394,
131,
20777,
2149,
5674,
4253,
2113,
2528,
1394,
1250,
1111,
2233,
10149,
119,
1130,
4354,
1105,
153,
2047,
2497,
3457,
113,
16625,
114,
117,
1387,
16206,
26520,
1113,
117,
5097,
3862,
1571,
782,
24680,
119,
16206,
117,
1387,
119,
164,
3164,
166,
140,
23403,
1162,
12556,
2879,
119,
1109,
11308,
2026,
8952,
3254,
19675,
119,
1109,
15112,
28039,
117,
3561,
119,
117,
1617,
119,
164,
3413,
166,
26824,
5933,
11896,
1968,
12610,
119,
27400,
2528,
1394,
131,
138,
8536,
118,
1106,
118,
8536,
4828,
5948,
1449,
119,
18630,
131,
120,
120,
2113,
2528,
1394,
119,
8916,
120,
2113,
2528,
1394,
119,
185,
1181,
2087,
119,
164,
3383,
166,
5728,
147,
152,
112,
141,
17953,
1200,
1105,
1681,
17571,
119,
27400,
2528,
1394,
5463,
1105,
1157,
2308
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"S",
"##ho",
"##ker",
".",
"Making",
"B",
"##FT",
"Protocol",
"##s",
"Really",
"Ada",
"##pt",
"##ive",
".",
"In",
"In",
"the",
"Proceedings",
"of",
"the",
"29th",
"IEEE",
"International",
"Para",
"##lle",
"##l",
"&",
"Di",
"##st",
"##ri",
"##buted",
"Process",
"##ing",
"Symposium",
",",
"IP",
"##DP",
"##S",
"'",
"15",
".",
"IEEE",
"-",
"CS",
",",
"May",
"2015",
".",
"[",
"28",
"]",
"Maj",
"##a",
"Ka",
"##bil",
"##jo",
"and",
"Al",
"##ek",
"##san",
"##dar",
"Il",
"##ic",
".",
"Re",
"##com",
"##men",
"##ding",
"items",
"to",
"more",
"than",
"a",
"billion",
"people",
".",
"https",
":",
"/",
"/",
"code",
".",
"face",
"##book",
".",
"com",
"/",
"posts",
"/",
"86",
"##19",
"##9",
"##9",
"##38",
"##38",
"##75",
"##6",
"##6",
"##7",
"/",
"recommend",
"##ing",
"-",
"items",
"-",
"to",
"-",
"more",
"-",
"than",
"-",
"a",
"-",
"billion",
"-",
"people",
"/",
".",
"Access",
"##ed",
":",
"2017",
"-",
"08",
"-",
"29",
".",
"[",
"29",
"]",
"Sunny",
"King",
".",
"Prime",
"##co",
"##in",
":",
"Cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cy",
"with",
"prime",
"number",
"proof",
"-",
"of",
"-",
"work",
".",
"July",
"7th",
",",
"2013",
".",
"[",
"30",
"]",
"Sunny",
"King",
"and",
"Scott",
"Na",
"##dal",
".",
"P",
"##p",
"##co",
"##in",
":",
"P",
"##eer",
"-",
"to",
"-",
"peer",
"cry",
"##pt",
"##o",
"-",
"currency",
"with",
"proof",
"-",
"of",
"-",
"stake",
".",
"self",
"-",
"published",
"paper",
",",
"August",
",",
"19",
",",
"2012",
".",
"[",
"31",
"]",
"Rama",
"##k",
"##ris",
"##hn",
"##a",
"Ko",
"##tl",
"##a",
",",
"Lorenzo",
"Al",
"##vis",
"##i",
",",
"Mike",
"Da",
"##hl",
"##in",
",",
"Allen",
"Clement",
",",
"and",
"Edmund",
"Wong",
".",
"Z",
"##y",
"##zzy",
"##va",
":",
"s",
"##peculative",
"by",
"##zan",
"##tine",
"fault",
"tolerance",
".",
"In",
"AC",
"##M",
"S",
"##IG",
"##OP",
"##S",
"Operating",
"Systems",
"Review",
",",
"volume",
"41",
",",
"pages",
"45",
"β",
"58",
".",
"AC",
"##M",
",",
"2007",
".",
"[",
"32",
"]",
"J",
"##ae",
"K",
"##won",
".",
"Ten",
"##der",
"##min",
"##t",
":",
"Con",
"##sen",
"##sus",
"without",
"mining",
".",
"Draft",
"v",
".",
"0",
".",
"6",
",",
"fall",
",",
"2014",
".",
"[",
"33",
"]",
"Daniel",
"La",
"##rim",
"##er",
".",
"Del",
"##eg",
"##ated",
"proof",
"-",
"of",
"-",
"stake",
"(",
"d",
"##po",
"##s",
")",
".",
"Bit",
"##sha",
"##re",
"white",
"##paper",
",",
"2014",
".",
"[",
"34",
"]",
"Miles",
"Lo",
"##pes",
".",
"E",
"##st",
"##imating",
"unknown",
"spa",
"##rs",
"##ity",
"in",
"compressed",
"sensing",
".",
"In",
"International",
"Conference",
"on",
"Machine",
"Learning",
",",
"pages",
"217",
"β",
"225",
",",
"2013",
".",
"[",
"35",
"]",
"Andrew",
"Miller",
",",
"Ari",
"Ju",
"##els",
",",
"Elaine",
"Shi",
",",
"Bryan",
"Pa",
"##rno",
",",
"and",
"Jonathan",
"Katz",
".",
"Per",
"##ma",
"##co",
"##in",
":",
"Rep",
"##ur",
"##po",
"##sing",
"bit",
"##co",
"##in",
"work",
"for",
"data",
"preservation",
".",
"In",
"Security",
"and",
"P",
"##ri",
"##va",
"##cy",
"(",
"SP",
")",
",",
"2014",
"IEEE",
"Symposium",
"on",
",",
"pages",
"47",
"##5",
"β",
"490",
".",
"IEEE",
",",
"2014",
".",
"[",
"36",
"]",
"C",
"##lev",
"##e",
"Mo",
"##ler",
".",
"The",
"worlds",
"largest",
"matrix",
"com",
"##putation",
".",
"The",
"Math",
"##Works",
",",
"Inc",
".",
",",
"2002",
".",
"[",
"37",
"]",
"Sato",
"##shi",
"Na",
"##ka",
"##moto",
".",
"Bit",
"##co",
"##in",
":",
"A",
"peer",
"-",
"to",
"-",
"peer",
"electronic",
"cash",
"system",
".",
"https",
":",
"/",
"/",
"bit",
"##co",
"##in",
".",
"org",
"/",
"bit",
"##co",
"##in",
".",
"p",
"##d",
"##f",
".",
"[",
"38",
"]",
"Karl",
"J",
"O",
"'",
"D",
"##wy",
"##er",
"and",
"David",
"Malone",
".",
"Bit",
"##co",
"##in",
"mining",
"and",
"its",
"energy"
] | Sustainable blockchain through proof of exercise | 604 |
duced new undesired
properties. Importantly, the proposed solutions are often based
on meta-data that may be retrieved from the system in a secure
and efficient way, keeping the challenges somehow close to
those of the current Bitcoin's hash-based PoW (follow next).
Indeed, addressing concrete scientific problems incurs new
significant challenges β that are not thoroughly studied by the
community β like efficiency, commitment, anonymity, etc.,
which require non-trivial solutions and trade-offs. To | [
2555,
10988,
119,
1387,
119,
164,
3614,
166,
1239,
1104,
1756,
119,
139,
2346,
11607,
1658,
3203,
119,
8413,
131,
120,
120,
171,
8136,
26405,
119,
1129,
4661,
23814,
119,
5048,
1358,
120,
3203,
119,
185,
16194,
119,
11737,
1174,
131,
1504,
118,
4775,
118,
1853,
119,
164,
1969,
166,
1239,
1104,
16142,
119,
1109,
1945,
1111,
15840,
8127,
4571,
1249,
8005,
18256,
111,
3291,
26358,
6360,
4659,
119,
8413,
131,
120,
120,
7001,
119,
172,
1777,
1665,
119,
190,
1584,
1324,
119,
22572,
120,
1844,
120,
7448,
119,
28066,
119,
138,
1665,
118,
172,
24940,
131,
1504,
118,
4925,
118,
130,
119,
164,
3746,
166,
7414,
12150,
10069,
151,
13821,
24805,
1708,
131,
24030,
5818,
1113,
13540,
9091,
119,
2123,
4530,
1849,
3311,
119,
8413,
131,
120,
120,
8362,
2087,
19515,
1665,
119,
1107,
1204,
120,
14247,
1548,
3311,
120,
4454,
120,
5706,
1604,
1571,
119,
185,
16194,
117,
1357,
1446,
119,
164,
3565,
166,
1135,
1777,
1183,
142,
18543,
4367,
23084,
1389,
117,
18653,
1394,
144,
1179,
2203,
1200,
1105,
10789,
23915,
5999,
119,
27916,
5361,
131,
1615,
2200,
24046,
6334,
4869,
1654,
1111,
6777,
1116,
1104,
1250,
119,
1130,
139,
12150,
15678,
11607,
16350,
119,
18919,
117,
1504,
119,
164,
3887,
166,
27400,
2528,
1394,
4042,
119,
27400,
2528,
1394,
119,
18630,
131,
120,
120,
2113,
2528,
1394,
119,
8916,
120,
119,
164,
3140,
166,
27400,
2528,
1394,
4042,
119,
27400,
2528,
1394,
14371,
119,
18630,
131,
120,
120,
2113,
2528,
1394,
119,
8916,
120,
4035,
120,
9991,
118,
3835,
119,
11737,
1174,
131,
1504,
118,
4775,
118,
1853,
119,
164,
2532,
166,
5931,
16513,
119,
5096,
10008,
1104,
8219,
10537,
131,
4334,
1103,
1934,
10202,
1104,
1103,
3539,
1425,
119,
1387,
119,
164,
3993,
166,
18139,
1573,
11700,
117,
2586,
6834,
2142,
4108,
11655,
2605,
117,
1105,
2392,
1186,
159,
7563,
11014,
7128,
119,
138,
1118,
14883,
12569,
6088,
118,
26827,
13649,
1555,
1111,
1103,
177,
24312,
19693,
1197,
8113,
3510,
7147,
1394,
3482,
119,
170,
1197,
3190,
11083,
3073,
10988,
170,
1197,
3190,
11083,
131,
10837,
1580,
119,
5037,
1580,
18202,
117,
1504,
119,
164,
3862,
166,
6193,
157,
11941,
1197,
119,
2614,
118,
17307,
12196,
6777,
1116,
1111,
6090,
10540,
119,
1130,
25308,
1107,
15586,
6451,
4807,
782,
15531,
24772,
18082,
1381,
117,
5097,
5729,
782,
5840,
119,
18919,
117,
1381,
119,
164,
3615,
166,
143,
10885,
1811,
157,
9022,
3864,
1732,
1105,
139,
3361,
19593,
4558,
20452,
4638,
10232,
4119,
119,
27400,
2528,
1394,
1105,
2894,
131,
138,
13395,
118,
11437,
7867,
5980,
1113,
11858,
4412,
2200,
3539,
16408,
11604,
9885,
119,
16206,
6345,
8157,
1116,
111,
17037,
14155,
3447,
117,
1407,
113,
124,
114,
131,
19980,
1527,
782,
19538,
1495,
117,
1446,
119,
164,
3927,
166,
2392,
1186,
159,
7563,
11014,
7128,
119,
1109,
12485,
1111,
188,
7867,
1895,
3510,
7147,
1394,
8113,
131,
5096,
10008,
118,
1104,
118,
1250,
5016,
119,
171,
4964,
25544,
119,
1130,
1570,
16350,
1113,
3353,
23855,
1107,
3998,
4354,
117,
5097,
11150,
782,
8347,
119,
18919,
117,
1410,
119,
164,
1851,
166,
27400,
2528,
1394,
160
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
1,
2,
2,
2,
2,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
1,
2,
2,
2,
2,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"foot",
"##print",
".",
"2014",
".",
"[",
"39",
"]",
"University",
"of",
"California",
".",
"B",
"##O",
"##IN",
"##C",
"projects",
".",
"http",
":",
"/",
"/",
"b",
"##oi",
"##nc",
".",
"be",
"##rk",
"##eley",
".",
"ed",
"##u",
"/",
"projects",
".",
"p",
"##hp",
".",
"Access",
"##ed",
":",
"2017",
"-",
"08",
"-",
"29",
".",
"[",
"40",
"]",
"University",
"of",
"Zurich",
".",
"The",
"Center",
"for",
"Theo",
"##ret",
"##ical",
"As",
"##tro",
"##physics",
"&",
"Co",
"##smo",
"##logy",
"Program",
".",
"http",
":",
"/",
"/",
"www",
".",
"c",
"##ta",
"##c",
".",
"u",
"##z",
"##h",
".",
"ch",
"/",
"research",
"/",
"index",
".",
"html",
".",
"A",
"##c",
"-",
"c",
"##essed",
":",
"2017",
"-",
"09",
"-",
"9",
".",
"[",
"41",
"]",
"UN",
"##IT",
"##ED",
"N",
"##AT",
"##ION",
"##S",
":",
"Framework",
"Convention",
"on",
"Climate",
"Change",
".",
"Paris",
"climate",
"change",
"agreement",
".",
"http",
":",
"/",
"/",
"un",
"##f",
"##cc",
"##c",
".",
"in",
"##t",
"/",
"par",
"##is",
"agreement",
"/",
"items",
"/",
"94",
"##8",
"##5",
".",
"p",
"##hp",
",",
"October",
"2016",
".",
"[",
"42",
"]",
"It",
"##ta",
"##y",
"E",
"##yal",
"Philip",
"Dai",
"##an",
",",
"Em",
"##in",
"G",
"##n",
"Sir",
"##er",
"and",
"Ari",
"Ju",
"##els",
".",
"Piece",
"##work",
":",
"General",
"##ized",
"outs",
"##our",
"##cing",
"control",
"for",
"proof",
"##s",
"of",
"work",
".",
"In",
"B",
"##IT",
"##CO",
"##IN",
"Workshop",
".",
"Springer",
",",
"2017",
".",
"[",
"43",
"]",
"Bit",
"##co",
"##in",
"Project",
".",
"Bit",
"##co",
"##in",
".",
"https",
":",
"/",
"/",
"bit",
"##co",
"##in",
".",
"org",
"/",
".",
"[",
"44",
"]",
"Bit",
"##co",
"##in",
"Project",
".",
"Bit",
"##co",
"##in",
"documentation",
".",
"https",
":",
"/",
"/",
"bit",
"##co",
"##in",
".",
"org",
"/",
"en",
"/",
"developer",
"-",
"reference",
".",
"Access",
"##ed",
":",
"2017",
"-",
"08",
"-",
"29",
".",
"[",
"45",
"]",
"Larry",
"Ren",
".",
"Pro",
"##of",
"of",
"stake",
"velocity",
":",
"Building",
"the",
"social",
"currency",
"of",
"the",
"digital",
"age",
".",
"2014",
".",
"[",
"46",
"]",
"JoΓ£o",
"So",
"##usa",
",",
"Al",
"##ys",
"##son",
"Be",
"##ssa",
"##ni",
",",
"and",
"Mark",
"##o",
"V",
"##uk",
"##oli",
"##Δ",
".",
"A",
"by",
"##zan",
"##tine",
"fault",
"-",
"tolerant",
"ordering",
"service",
"for",
"the",
"h",
"##yper",
"##ledge",
"##r",
"fabric",
"block",
"##cha",
"##in",
"platform",
".",
"a",
"##r",
"##X",
"##iv",
"pre",
"##print",
"a",
"##r",
"##X",
"##iv",
":",
"170",
"##9",
".",
"06",
"##9",
"##21",
",",
"2017",
".",
"[",
"47",
"]",
"Justin",
"T",
"##hale",
"##r",
".",
"Time",
"-",
"optimal",
"interactive",
"proof",
"##s",
"for",
"circuit",
"evaluation",
".",
"In",
"Advances",
"in",
"Cry",
"##pt",
"##ology",
"β",
"CR",
"##YP",
"##TO",
"2013",
",",
"pages",
"71",
"β",
"89",
".",
"Springer",
",",
"2013",
".",
"[",
"48",
"]",
"F",
"##lor",
"##ian",
"T",
"##sch",
"##ors",
"##ch",
"and",
"B",
"##j",
"##ΓΆ",
"##rn",
"Sc",
"##he",
"##uer",
"##mann",
".",
"Bit",
"##co",
"##in",
"and",
"beyond",
":",
"A",
"tech",
"-",
"ni",
"##cal",
"survey",
"on",
"decent",
"##ral",
"##ized",
"digital",
"cu",
"##rre",
"##ncies",
".",
"IEEE",
"Communications",
"Survey",
"##s",
"&",
"Tu",
"##toria",
"##ls",
",",
"18",
"(",
"3",
")",
":",
"208",
"##4",
"β",
"212",
"##3",
",",
"2016",
".",
"[",
"49",
"]",
"Mark",
"##o",
"V",
"##uk",
"##oli",
"##Δ",
".",
"The",
"quest",
"for",
"s",
"##cal",
"##able",
"block",
"##cha",
"##in",
"fabric",
":",
"Pro",
"##of",
"-",
"of",
"-",
"work",
"vs",
".",
"b",
"##ft",
"replication",
".",
"In",
"International",
"Workshop",
"on",
"Open",
"Problems",
"in",
"Network",
"Security",
",",
"pages",
"112",
"β",
"125",
".",
"Springer",
",",
"2015",
".",
"[",
"50",
"]",
"Bit",
"##co",
"##in",
"W"
] | Sustainable blockchain through proof of exercise | 605 |
duced new undesired
properties. Importantly, the proposed solutions are often based
on meta-data that may be retrieved from the system in a secure
and efficient way, keeping the challenges somehow close to
those of the current Bitcoin's hash-based PoW (follow next).
Indeed, addressing concrete scientific problems incurs new
significant challenges β that are not thoroughly studied by the
community β like efficiency, commitment, anonymity, etc.,
which require non-trivial solutions and trade-offs. To | [
2555,
10988,
119,
1387,
119,
164,
3614,
166,
1239,
1104,
1756,
119,
139,
2346,
11607,
1658,
3203,
119,
8413,
131,
120,
120,
171,
8136,
26405,
119,
1129,
4661,
23814,
119,
5048,
1358,
120,
3203,
119,
185,
16194,
119,
11737,
1174,
131,
1504,
118,
4775,
118,
1853,
119,
164,
1969,
166,
1239,
1104,
16142,
119,
1109,
1945,
1111,
15840,
8127,
4571,
1249,
8005,
18256,
111,
3291,
26358,
6360,
4659,
119,
8413,
131,
120,
120,
7001,
119,
172,
1777,
1665,
119,
190,
1584,
1324,
119,
22572,
120,
1844,
120,
7448,
119,
28066,
119,
138,
1665,
118,
172,
24940,
131,
1504,
118,
4925,
118,
130,
119,
164,
3746,
166,
7414,
12150,
10069,
151,
13821,
24805,
1708,
131,
24030,
5818,
1113,
13540,
9091,
119,
2123,
4530,
1849,
3311,
119,
8413,
131,
120,
120,
8362,
2087,
19515,
1665,
119,
1107,
1204,
120,
14247,
1548,
3311,
120,
4454,
120,
5706,
1604,
1571,
119,
185,
16194,
117,
1357,
1446,
119,
164,
3565,
166,
1135,
1777,
1183,
142,
18543,
4367,
23084,
1389,
117,
18653,
1394,
144,
1179,
2203,
1200,
1105,
10789,
23915,
5999,
119,
27916,
5361,
131,
1615,
2200,
24046,
6334,
4869,
1654,
1111,
6777,
1116,
1104,
1250,
119,
1130,
139,
12150,
15678,
11607,
16350,
119,
18919,
117,
1504,
119,
164,
3887,
166,
27400,
2528,
1394,
4042,
119,
27400,
2528,
1394,
119,
18630,
131,
120,
120,
2113,
2528,
1394,
119,
8916,
120,
119,
164,
3140,
166,
27400,
2528,
1394,
4042,
119,
27400,
2528,
1394,
14371,
119,
18630,
131,
120,
120,
2113,
2528,
1394,
119,
8916,
120,
4035,
120,
9991,
118,
3835,
119,
11737,
1174,
131,
1504,
118,
4775,
118,
1853,
119,
164,
2532,
166,
5931,
16513,
119,
5096,
10008,
1104,
8219,
10537,
131,
4334,
1103,
1934,
10202,
1104,
1103,
3539,
1425,
119,
1387,
119,
164,
3993,
166,
18139,
1573,
11700,
117,
2586,
6834,
2142,
4108,
11655,
2605,
117,
1105,
2392,
1186,
159,
7563,
11014,
7128,
119,
138,
1118,
14883,
12569,
6088,
118,
26827,
13649,
1555,
1111,
1103,
177,
24312,
19693,
1197,
8113,
3510,
7147,
1394,
3482,
119,
170,
1197,
3190,
11083,
3073,
10988,
170,
1197,
3190,
11083,
131,
10837,
1580,
119,
5037,
1580,
18202,
117,
1504,
119,
164,
3862,
166,
6193,
157,
11941,
1197,
119,
2614,
118,
17307,
12196,
6777,
1116,
1111,
6090,
10540,
119,
1130,
25308,
1107,
15586,
6451,
4807,
782,
15531,
24772,
18082,
1381,
117,
5097,
5729,
782,
5840,
119,
18919,
117,
1381,
119,
164,
3615,
166,
143,
10885,
1811,
157,
9022,
3864,
1732,
1105,
139,
3361,
19593,
4558,
20452,
4638,
10232,
4119,
119,
27400,
2528,
1394,
1105,
2894,
131,
138,
13395,
118,
11437,
7867,
5980,
1113,
11858,
4412,
2200,
3539,
16408,
11604,
9885,
119,
16206,
6345,
8157,
1116,
111,
17037,
14155,
3447,
117,
1407,
113,
124,
114,
131,
19980,
1527,
782,
19538,
1495,
117,
1446,
119,
164,
3927,
166,
2392,
1186,
159,
7563,
11014,
7128,
119,
1109,
12485,
1111,
188,
7867,
1895,
3510,
7147,
1394,
8113,
131,
5096,
10008,
118,
1104,
118,
1250,
5016,
119,
171,
4964,
25544,
119,
1130,
1570,
16350,
1113,
3353,
23855,
1107,
3998,
4354,
117,
5097,
11150,
782,
8347,
119,
18919,
117,
1410,
119,
164,
1851,
166,
27400,
2528,
1394,
160
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"foot",
"##print",
".",
"2014",
".",
"[",
"39",
"]",
"University",
"of",
"California",
".",
"B",
"##O",
"##IN",
"##C",
"projects",
".",
"http",
":",
"/",
"/",
"b",
"##oi",
"##nc",
".",
"be",
"##rk",
"##eley",
".",
"ed",
"##u",
"/",
"projects",
".",
"p",
"##hp",
".",
"Access",
"##ed",
":",
"2017",
"-",
"08",
"-",
"29",
".",
"[",
"40",
"]",
"University",
"of",
"Zurich",
".",
"The",
"Center",
"for",
"Theo",
"##ret",
"##ical",
"As",
"##tro",
"##physics",
"&",
"Co",
"##smo",
"##logy",
"Program",
".",
"http",
":",
"/",
"/",
"www",
".",
"c",
"##ta",
"##c",
".",
"u",
"##z",
"##h",
".",
"ch",
"/",
"research",
"/",
"index",
".",
"html",
".",
"A",
"##c",
"-",
"c",
"##essed",
":",
"2017",
"-",
"09",
"-",
"9",
".",
"[",
"41",
"]",
"UN",
"##IT",
"##ED",
"N",
"##AT",
"##ION",
"##S",
":",
"Framework",
"Convention",
"on",
"Climate",
"Change",
".",
"Paris",
"climate",
"change",
"agreement",
".",
"http",
":",
"/",
"/",
"un",
"##f",
"##cc",
"##c",
".",
"in",
"##t",
"/",
"par",
"##is",
"agreement",
"/",
"items",
"/",
"94",
"##8",
"##5",
".",
"p",
"##hp",
",",
"October",
"2016",
".",
"[",
"42",
"]",
"It",
"##ta",
"##y",
"E",
"##yal",
"Philip",
"Dai",
"##an",
",",
"Em",
"##in",
"G",
"##n",
"Sir",
"##er",
"and",
"Ari",
"Ju",
"##els",
".",
"Piece",
"##work",
":",
"General",
"##ized",
"outs",
"##our",
"##cing",
"control",
"for",
"proof",
"##s",
"of",
"work",
".",
"In",
"B",
"##IT",
"##CO",
"##IN",
"Workshop",
".",
"Springer",
",",
"2017",
".",
"[",
"43",
"]",
"Bit",
"##co",
"##in",
"Project",
".",
"Bit",
"##co",
"##in",
".",
"https",
":",
"/",
"/",
"bit",
"##co",
"##in",
".",
"org",
"/",
".",
"[",
"44",
"]",
"Bit",
"##co",
"##in",
"Project",
".",
"Bit",
"##co",
"##in",
"documentation",
".",
"https",
":",
"/",
"/",
"bit",
"##co",
"##in",
".",
"org",
"/",
"en",
"/",
"developer",
"-",
"reference",
".",
"Access",
"##ed",
":",
"2017",
"-",
"08",
"-",
"29",
".",
"[",
"45",
"]",
"Larry",
"Ren",
".",
"Pro",
"##of",
"of",
"stake",
"velocity",
":",
"Building",
"the",
"social",
"currency",
"of",
"the",
"digital",
"age",
".",
"2014",
".",
"[",
"46",
"]",
"JoΓ£o",
"So",
"##usa",
",",
"Al",
"##ys",
"##son",
"Be",
"##ssa",
"##ni",
",",
"and",
"Mark",
"##o",
"V",
"##uk",
"##oli",
"##Δ",
".",
"A",
"by",
"##zan",
"##tine",
"fault",
"-",
"tolerant",
"ordering",
"service",
"for",
"the",
"h",
"##yper",
"##ledge",
"##r",
"fabric",
"block",
"##cha",
"##in",
"platform",
".",
"a",
"##r",
"##X",
"##iv",
"pre",
"##print",
"a",
"##r",
"##X",
"##iv",
":",
"170",
"##9",
".",
"06",
"##9",
"##21",
",",
"2017",
".",
"[",
"47",
"]",
"Justin",
"T",
"##hale",
"##r",
".",
"Time",
"-",
"optimal",
"interactive",
"proof",
"##s",
"for",
"circuit",
"evaluation",
".",
"In",
"Advances",
"in",
"Cry",
"##pt",
"##ology",
"β",
"CR",
"##YP",
"##TO",
"2013",
",",
"pages",
"71",
"β",
"89",
".",
"Springer",
",",
"2013",
".",
"[",
"48",
"]",
"F",
"##lor",
"##ian",
"T",
"##sch",
"##ors",
"##ch",
"and",
"B",
"##j",
"##ΓΆ",
"##rn",
"Sc",
"##he",
"##uer",
"##mann",
".",
"Bit",
"##co",
"##in",
"and",
"beyond",
":",
"A",
"tech",
"-",
"ni",
"##cal",
"survey",
"on",
"decent",
"##ral",
"##ized",
"digital",
"cu",
"##rre",
"##ncies",
".",
"IEEE",
"Communications",
"Survey",
"##s",
"&",
"Tu",
"##toria",
"##ls",
",",
"18",
"(",
"3",
")",
":",
"208",
"##4",
"β",
"212",
"##3",
",",
"2016",
".",
"[",
"49",
"]",
"Mark",
"##o",
"V",
"##uk",
"##oli",
"##Δ",
".",
"The",
"quest",
"for",
"s",
"##cal",
"##able",
"block",
"##cha",
"##in",
"fabric",
":",
"Pro",
"##of",
"-",
"of",
"-",
"work",
"vs",
".",
"b",
"##ft",
"replication",
".",
"In",
"International",
"Workshop",
"on",
"Open",
"Problems",
"in",
"Network",
"Security",
",",
"pages",
"112",
"β",
"125",
".",
"Springer",
",",
"2015",
".",
"[",
"50",
"]",
"Bit",
"##co",
"##in",
"W"
] | Sustainable blockchain through proof of exercise | 606 |
identify
these challenges and address them, we need a reference
baseline properties to compare against. Since we are unaware
of such a comprehensive study, we found it intuitive to first
analyze the properties of Bitcoin's PoW first, and try to meet
them in our solution (in the following sections).
To analyze the properties of current hash-based PoW in
Bitcoin, we need to understand the structure and the role of
PoW in more details. As described in Section II, the miner
collects the transactions | [
12635,
119,
12120,
3101,
1596,
7067,
1183,
119,
18630,
131,
120,
120,
4035,
119,
2113,
2528,
1394,
119,
1122,
120,
192,
12635,
120,
12120,
3101,
1596,
7067,
1183,
119,
11737,
1174,
131,
1504,
118,
4925,
118,
5037,
119,
164,
4062,
166,
27400,
2528,
1394,
160,
12635,
119,
15280,
8172,
7577,
119,
18630,
131,
120,
120,
4035,
119,
2113,
2528,
1394,
119,
1122,
120,
192,
12635,
120,
15280,
8172,
7577,
119,
11737,
1174,
131,
1504,
118,
4925,
118,
5037,
119,
164,
3882,
166,
27400,
2528,
1394,
160,
12635,
119,
156,
2328,
118,
18440,
119,
18630,
131,
120,
120,
4035,
119,
2113,
2528,
1394,
119,
1122,
120,
192,
12635,
120,
17730,
1592,
118,
18440,
119,
11737,
1174,
131,
1504,
118,
4925,
118,
5037,
119,
164,
4389,
166,
3730,
2902,
119,
11661,
3084,
1324,
7610,
1114,
1143,
20754,
1105,
1893,
26033,
131,
6373,
1664,
118,
12196,
6777,
1116,
1104,
15817,
10540,
119,
170,
1197,
3190,
11083,
3073,
10988,
170,
1197,
3190,
11083,
131,
7690,
1475,
119,
5129,
1559,
25631,
117,
1446,
119,
164,
4335,
166,
2550,
159,
11192,
4759,
1964,
9289,
2902,
119,
18447,
1643,
15318,
24350,
1107,
184,
113,
183,
1477,
119,
3413,
1495,
114,
1159,
119,
3073,
10988,
117,
1387,
119,
164,
3731,
166,
13501,
10684,
4648,
1105,
158,
2047,
163,
6196,
119,
13227,
22726,
8952,
4321,
15534,
119,
9690,
2107,
13809,
22946,
1113,
2586,
18791,
7088,
4206,
113,
157,
12507,
2349,
114,
117,
122,
113,
122,
114,
131,
123,
782,
1492,
117,
1478,
119,
164,
4376,
166,
16061,
9132,
117,
1135,
1777,
1183,
142,
18543,
117,
1823,
142,
1116,
1665,
2047,
2497,
117,
10789,
23915,
5999,
117,
1105,
6284,
7488,
3498,
26978,
11553,
119,
11336,
1306,
131,
17282,
118,
7856,
5463,
1111,
3510,
7147,
4935,
119,
1130,
1646,
11680,
19678,
4354,
26520,
119,
18919,
117,
1504,
119,
164,
4667,
166,
3986,
162,
163,
7903,
2315,
119,
23994,
4838,
1233,
12783,
1111,
25128,
1394,
27960,
1105,
3254,
118,
1508,
21404,
10256,
131,
3584,
117,
12619,
7951,
117,
1105,
1692,
2527,
117,
3884,
3731,
119,
1287,
20516,
111,
9946,
117,
1386,
119,
133,
133,
120,
15278,
19747,
2240,
1604,
1571,
2036,
23573,
2007,
2101,
12062,
6014,
120,
1398,
4064,
1942,
4047,
20080,
8836,
7232,
6014,
120,
12983,
2101,
2155,
8934,
16668,
19261,
12846,
6014,
120,
12983,
2069,
16339,
1566,
2101,
12062,
120,
7330,
120,
21700,
3408,
120,
8123,
120,
11917,
2349,
6447,
2101,
2180,
8702,
1513,
113,
4823,
23039,
123,
119,
123,
114,
120,
11917,
2069,
13745,
2101,
2180,
8702,
1513,
113,
188,
2069,
13745,
146,
8231,
1545,
16382,
1545,
1545,
118,
123,
119,
122,
114,
120,
11917,
27847,
3663,
2428,
2101,
2180,
8702,
1513,
113,
158,
119,
156,
119,
9059,
3291,
2913,
165,
4991,
1568,
1708,
2924,
17195,
165,
4991,
1475,
191,
1477,
114,
120,
188,
2069,
13745,
2101,
2180,
8702,
1513,
113,
188,
2069,
13745,
146,
8231,
1545,
16382,
1545,
1545,
118,
123,
119,
122,
114,
120,
2825,
12512,
2036,
17329,
1181,
2271,
9921,
2101,
14987,
1183,
120,
19680,
120,
3291,
8223,
11745,
5474,
2162,
19907,
1233,
122,
119,
125,
120,
3291,
8223,
7370,
2346,
24380,
1116,
120,
8060,
120
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##iki",
".",
"Di",
"##ff",
"##ic",
"##ult",
"##y",
".",
"https",
":",
"/",
"/",
"en",
".",
"bit",
"##co",
"##in",
".",
"it",
"/",
"w",
"##iki",
"/",
"Di",
"##ff",
"##ic",
"##ult",
"##y",
".",
"Access",
"##ed",
":",
"2017",
"-",
"09",
"-",
"06",
".",
"[",
"51",
"]",
"Bit",
"##co",
"##in",
"W",
"##iki",
".",
"Mining",
"hardware",
"comparison",
".",
"https",
":",
"/",
"/",
"en",
".",
"bit",
"##co",
"##in",
".",
"it",
"/",
"w",
"##iki",
"/",
"Mining",
"hardware",
"comparison",
".",
"Access",
"##ed",
":",
"2017",
"-",
"09",
"-",
"06",
".",
"[",
"52",
"]",
"Bit",
"##co",
"##in",
"W",
"##iki",
".",
"S",
"##ha",
"-",
"256",
".",
"https",
":",
"/",
"/",
"en",
".",
"bit",
"##co",
"##in",
".",
"it",
"/",
"w",
"##iki",
"/",
"SH",
"##A",
"-",
"256",
".",
"Access",
"##ed",
":",
"2017",
"-",
"09",
"-",
"06",
".",
"[",
"53",
"]",
"Ryan",
"Williams",
".",
"Strong",
"et",
"##h",
"breaks",
"with",
"me",
"##rlin",
"and",
"art",
"##hur",
":",
"Short",
"non",
"-",
"interactive",
"proof",
"##s",
"of",
"batch",
"evaluation",
".",
"a",
"##r",
"##X",
"##iv",
"pre",
"##print",
"a",
"##r",
"##X",
"##iv",
":",
"160",
"##1",
".",
"04",
"##7",
"##43",
",",
"2016",
".",
"[",
"54",
"]",
"Virginia",
"V",
"##ass",
"##ile",
"##v",
"##ska",
"Williams",
".",
"Multi",
"##p",
"##lying",
"matrices",
"in",
"o",
"(",
"n",
"##2",
".",
"37",
"##3",
")",
"time",
".",
"pre",
"##print",
",",
"2014",
".",
"[",
"55",
"]",
"Raphael",
"Yu",
"##ster",
"and",
"U",
"##ri",
"Z",
"##wick",
".",
"Fast",
"sparse",
"matrix",
"multi",
"##plication",
".",
"AC",
"##M",
"Trans",
"##actions",
"on",
"Al",
"##gor",
"##ith",
"##ms",
"(",
"T",
"##AL",
"##G",
")",
",",
"1",
"(",
"1",
")",
":",
"2",
"β",
"13",
",",
"2005",
".",
"[",
"56",
"]",
"Fan",
"Zhang",
",",
"It",
"##ta",
"##y",
"E",
"##yal",
",",
"Robert",
"E",
"##s",
"##c",
"##ri",
"##va",
",",
"Ari",
"Ju",
"##els",
",",
"and",
"Rob",
"##bert",
"van",
"Rene",
"##sse",
".",
"Re",
"##m",
":",
"Resource",
"-",
"efficient",
"mining",
"for",
"block",
"##cha",
"##ins",
".",
"In",
"US",
"##EN",
"##IX",
"Security",
"Symposium",
".",
"Springer",
",",
"2017",
".",
"[",
"57",
"]",
"Albert",
"Y",
"Z",
"##oma",
"##ya",
".",
"Para",
"##lle",
"##l",
"computing",
"for",
"bio",
"##in",
"##formatics",
"and",
"com",
"-",
"put",
"##ational",
"biology",
":",
"models",
",",
"enabling",
"technologies",
",",
"and",
"case",
"studies",
",",
"volume",
"55",
".",
"John",
"Wiley",
"&",
"Sons",
",",
"2006",
".",
"<",
"<",
"/",
"AS",
"##CI",
"##I",
"##8",
"##5",
"##E",
"##nco",
"##de",
"##P",
"##ages",
"false",
"/",
"All",
"##ow",
"##T",
"##ran",
"##sp",
"##are",
"##ncy",
"false",
"/",
"Auto",
"##P",
"##os",
"##ition",
"##EP",
"##SF",
"##iles",
"false",
"/",
"Auto",
"##R",
"##ota",
"##te",
"##P",
"##ages",
"/",
"None",
"/",
"Bin",
"##ding",
"/",
"Left",
"/",
"Cal",
"##G",
"##ray",
"##P",
"##ro",
"##fi",
"##le",
"(",
"Gray",
"Gamma",
"2",
".",
"2",
")",
"/",
"Cal",
"##R",
"##GB",
"##P",
"##ro",
"##fi",
"##le",
"(",
"s",
"##R",
"##GB",
"I",
"##EC",
"##6",
"##19",
"##6",
"##6",
"-",
"2",
".",
"1",
")",
"/",
"Cal",
"##CM",
"##Y",
"##K",
"##P",
"##ro",
"##fi",
"##le",
"(",
"U",
".",
"S",
".",
"Web",
"Co",
"##ated",
"\\",
"05",
"##0",
"##S",
"##W",
"##OP",
"\\",
"05",
"##1",
"v",
"##2",
")",
"/",
"s",
"##R",
"##GB",
"##P",
"##ro",
"##fi",
"##le",
"(",
"s",
"##R",
"##GB",
"I",
"##EC",
"##6",
"##19",
"##6",
"##6",
"-",
"2",
".",
"1",
")",
"/",
"Can",
"##not",
"##E",
"##mbe",
"##d",
"##F",
"##ont",
"##P",
"##olic",
"##y",
"/",
"Warning",
"/",
"Co",
"##mp",
"##ati",
"##bility",
"##L",
"##eve",
"##l",
"1",
".",
"4",
"/",
"Co",
"##mp",
"##ress",
"##O",
"##bject",
"##s",
"/",
"Off",
"/"
] | Sustainable blockchain through proof of exercise | 607 |
identify
these challenges and address them, we need a reference
baseline properties to compare against. Since we are unaware
of such a comprehensive study, we found it intuitive to first
analyze the properties of Bitcoin's PoW first, and try to meet
them in our solution (in the following sections).
To analyze the properties of current hash-based PoW in
Bitcoin, we need to understand the structure and the role of
PoW in more details. As described in Section II, the miner
collects the transactions | [
12635,
119,
12120,
3101,
1596,
7067,
1183,
119,
18630,
131,
120,
120,
4035,
119,
2113,
2528,
1394,
119,
1122,
120,
192,
12635,
120,
12120,
3101,
1596,
7067,
1183,
119,
11737,
1174,
131,
1504,
118,
4925,
118,
5037,
119,
164,
4062,
166,
27400,
2528,
1394,
160,
12635,
119,
15280,
8172,
7577,
119,
18630,
131,
120,
120,
4035,
119,
2113,
2528,
1394,
119,
1122,
120,
192,
12635,
120,
15280,
8172,
7577,
119,
11737,
1174,
131,
1504,
118,
4925,
118,
5037,
119,
164,
3882,
166,
27400,
2528,
1394,
160,
12635,
119,
156,
2328,
118,
18440,
119,
18630,
131,
120,
120,
4035,
119,
2113,
2528,
1394,
119,
1122,
120,
192,
12635,
120,
17730,
1592,
118,
18440,
119,
11737,
1174,
131,
1504,
118,
4925,
118,
5037,
119,
164,
4389,
166,
3730,
2902,
119,
11661,
3084,
1324,
7610,
1114,
1143,
20754,
1105,
1893,
26033,
131,
6373,
1664,
118,
12196,
6777,
1116,
1104,
15817,
10540,
119,
170,
1197,
3190,
11083,
3073,
10988,
170,
1197,
3190,
11083,
131,
7690,
1475,
119,
5129,
1559,
25631,
117,
1446,
119,
164,
4335,
166,
2550,
159,
11192,
4759,
1964,
9289,
2902,
119,
18447,
1643,
15318,
24350,
1107,
184,
113,
183,
1477,
119,
3413,
1495,
114,
1159,
119,
3073,
10988,
117,
1387,
119,
164,
3731,
166,
13501,
10684,
4648,
1105,
158,
2047,
163,
6196,
119,
13227,
22726,
8952,
4321,
15534,
119,
9690,
2107,
13809,
22946,
1113,
2586,
18791,
7088,
4206,
113,
157,
12507,
2349,
114,
117,
122,
113,
122,
114,
131,
123,
782,
1492,
117,
1478,
119,
164,
4376,
166,
16061,
9132,
117,
1135,
1777,
1183,
142,
18543,
117,
1823,
142,
1116,
1665,
2047,
2497,
117,
10789,
23915,
5999,
117,
1105,
6284,
7488,
3498,
26978,
11553,
119,
11336,
1306,
131,
17282,
118,
7856,
5463,
1111,
3510,
7147,
4935,
119,
1130,
1646,
11680,
19678,
4354,
26520,
119,
18919,
117,
1504,
119,
164,
4667,
166,
3986,
162,
163,
7903,
2315,
119,
23994,
4838,
1233,
12783,
1111,
25128,
1394,
27960,
1105,
3254,
118,
1508,
21404,
10256,
131,
3584,
117,
12619,
7951,
117,
1105,
1692,
2527,
117,
3884,
3731,
119,
1287,
20516,
111,
9946,
117,
1386,
119,
133,
133,
120,
15278,
19747,
2240,
1604,
1571,
2036,
23573,
2007,
2101,
12062,
6014,
120,
1398,
4064,
1942,
4047,
20080,
8836,
7232,
6014,
120,
12983,
2101,
2155,
8934,
16668,
19261,
12846,
6014,
120,
12983,
2069,
16339,
1566,
2101,
12062,
120,
7330,
120,
21700,
3408,
120,
8123,
120,
11917,
2349,
6447,
2101,
2180,
8702,
1513,
113,
4823,
23039,
123,
119,
123,
114,
120,
11917,
2069,
13745,
2101,
2180,
8702,
1513,
113,
188,
2069,
13745,
146,
8231,
1545,
16382,
1545,
1545,
118,
123,
119,
122,
114,
120,
11917,
27847,
3663,
2428,
2101,
2180,
8702,
1513,
113,
158,
119,
156,
119,
9059,
3291,
2913,
165,
4991,
1568,
1708,
2924,
17195,
165,
4991,
1475,
191,
1477,
114,
120,
188,
2069,
13745,
2101,
2180,
8702,
1513,
113,
188,
2069,
13745,
146,
8231,
1545,
16382,
1545,
1545,
118,
123,
119,
122,
114,
120,
2825,
12512,
2036,
17329,
1181,
2271,
9921,
2101,
14987,
1183,
120,
19680,
120,
3291,
8223,
11745,
5474,
2162,
19907,
1233,
122,
119,
125,
120,
3291,
8223,
7370,
2346,
24380,
1116,
120,
8060,
120
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##iki",
".",
"Di",
"##ff",
"##ic",
"##ult",
"##y",
".",
"https",
":",
"/",
"/",
"en",
".",
"bit",
"##co",
"##in",
".",
"it",
"/",
"w",
"##iki",
"/",
"Di",
"##ff",
"##ic",
"##ult",
"##y",
".",
"Access",
"##ed",
":",
"2017",
"-",
"09",
"-",
"06",
".",
"[",
"51",
"]",
"Bit",
"##co",
"##in",
"W",
"##iki",
".",
"Mining",
"hardware",
"comparison",
".",
"https",
":",
"/",
"/",
"en",
".",
"bit",
"##co",
"##in",
".",
"it",
"/",
"w",
"##iki",
"/",
"Mining",
"hardware",
"comparison",
".",
"Access",
"##ed",
":",
"2017",
"-",
"09",
"-",
"06",
".",
"[",
"52",
"]",
"Bit",
"##co",
"##in",
"W",
"##iki",
".",
"S",
"##ha",
"-",
"256",
".",
"https",
":",
"/",
"/",
"en",
".",
"bit",
"##co",
"##in",
".",
"it",
"/",
"w",
"##iki",
"/",
"SH",
"##A",
"-",
"256",
".",
"Access",
"##ed",
":",
"2017",
"-",
"09",
"-",
"06",
".",
"[",
"53",
"]",
"Ryan",
"Williams",
".",
"Strong",
"et",
"##h",
"breaks",
"with",
"me",
"##rlin",
"and",
"art",
"##hur",
":",
"Short",
"non",
"-",
"interactive",
"proof",
"##s",
"of",
"batch",
"evaluation",
".",
"a",
"##r",
"##X",
"##iv",
"pre",
"##print",
"a",
"##r",
"##X",
"##iv",
":",
"160",
"##1",
".",
"04",
"##7",
"##43",
",",
"2016",
".",
"[",
"54",
"]",
"Virginia",
"V",
"##ass",
"##ile",
"##v",
"##ska",
"Williams",
".",
"Multi",
"##p",
"##lying",
"matrices",
"in",
"o",
"(",
"n",
"##2",
".",
"37",
"##3",
")",
"time",
".",
"pre",
"##print",
",",
"2014",
".",
"[",
"55",
"]",
"Raphael",
"Yu",
"##ster",
"and",
"U",
"##ri",
"Z",
"##wick",
".",
"Fast",
"sparse",
"matrix",
"multi",
"##plication",
".",
"AC",
"##M",
"Trans",
"##actions",
"on",
"Al",
"##gor",
"##ith",
"##ms",
"(",
"T",
"##AL",
"##G",
")",
",",
"1",
"(",
"1",
")",
":",
"2",
"β",
"13",
",",
"2005",
".",
"[",
"56",
"]",
"Fan",
"Zhang",
",",
"It",
"##ta",
"##y",
"E",
"##yal",
",",
"Robert",
"E",
"##s",
"##c",
"##ri",
"##va",
",",
"Ari",
"Ju",
"##els",
",",
"and",
"Rob",
"##bert",
"van",
"Rene",
"##sse",
".",
"Re",
"##m",
":",
"Resource",
"-",
"efficient",
"mining",
"for",
"block",
"##cha",
"##ins",
".",
"In",
"US",
"##EN",
"##IX",
"Security",
"Symposium",
".",
"Springer",
",",
"2017",
".",
"[",
"57",
"]",
"Albert",
"Y",
"Z",
"##oma",
"##ya",
".",
"Para",
"##lle",
"##l",
"computing",
"for",
"bio",
"##in",
"##formatics",
"and",
"com",
"-",
"put",
"##ational",
"biology",
":",
"models",
",",
"enabling",
"technologies",
",",
"and",
"case",
"studies",
",",
"volume",
"55",
".",
"John",
"Wiley",
"&",
"Sons",
",",
"2006",
".",
"<",
"<",
"/",
"AS",
"##CI",
"##I",
"##8",
"##5",
"##E",
"##nco",
"##de",
"##P",
"##ages",
"false",
"/",
"All",
"##ow",
"##T",
"##ran",
"##sp",
"##are",
"##ncy",
"false",
"/",
"Auto",
"##P",
"##os",
"##ition",
"##EP",
"##SF",
"##iles",
"false",
"/",
"Auto",
"##R",
"##ota",
"##te",
"##P",
"##ages",
"/",
"None",
"/",
"Bin",
"##ding",
"/",
"Left",
"/",
"Cal",
"##G",
"##ray",
"##P",
"##ro",
"##fi",
"##le",
"(",
"Gray",
"Gamma",
"2",
".",
"2",
")",
"/",
"Cal",
"##R",
"##GB",
"##P",
"##ro",
"##fi",
"##le",
"(",
"s",
"##R",
"##GB",
"I",
"##EC",
"##6",
"##19",
"##6",
"##6",
"-",
"2",
".",
"1",
")",
"/",
"Cal",
"##CM",
"##Y",
"##K",
"##P",
"##ro",
"##fi",
"##le",
"(",
"U",
".",
"S",
".",
"Web",
"Co",
"##ated",
"\\",
"05",
"##0",
"##S",
"##W",
"##OP",
"\\",
"05",
"##1",
"v",
"##2",
")",
"/",
"s",
"##R",
"##GB",
"##P",
"##ro",
"##fi",
"##le",
"(",
"s",
"##R",
"##GB",
"I",
"##EC",
"##6",
"##19",
"##6",
"##6",
"-",
"2",
".",
"1",
")",
"/",
"Can",
"##not",
"##E",
"##mbe",
"##d",
"##F",
"##ont",
"##P",
"##olic",
"##y",
"/",
"Warning",
"/",
"Co",
"##mp",
"##ati",
"##bility",
"##L",
"##eve",
"##l",
"1",
".",
"4",
"/",
"Co",
"##mp",
"##ress",
"##O",
"##bject",
"##s",
"/",
"Off",
"/"
] | Sustainable blockchain through proof of exercise | 608 |
(usually paid by the spender) to be
included in the prospective block it is trying to commit, and
it constructs the block header. The block header at this stage
is not complete as it retains information about the included
transactions β together with a digest of the previous block,
current difficulty, timestamp, protocol's version β but missing
the nonce. We refer to the block header prior to adding the
nonce as Bh. Then, the miner tries to solve a cryptographic
puzzle that is composed of Bh and a | [
3291,
8223,
7370,
2101,
12062,
2276,
120,
16752,
12986,
2240,
27525,
1116,
1942,
1186,
2240,
11131,
14771,
2276,
120,
9157,
1942,
8167,
18626,
25141,
17020,
2240,
27525,
1116,
2276,
120,
140,
15998,
4538,
12809,
1942,
5345,
2105,
6014,
120,
3177,
8057,
7067,
2069,
15981,
1158,
2240,
11656,
2227,
120,
3177,
8057,
7067,
120,
27524,
10294,
1204,
2064,
7836,
3680,
2276,
120,
27524,
10294,
1204,
1658,
2149,
5710,
121,
119,
1288,
1568,
120,
13066,
1658,
1320,
12475,
1708,
18775,
4873,
120,
11255,
1658,
12805,
1197,
2591,
11273,
4993,
1174,
120,
2091,
1942,
21631,
1830,
26060,
1116,
6014,
120,
18653,
4774,
1592,
2339,
2271,
9921,
1116,
2276,
120,
18653,
4774,
2346,
11741,
1942,
16726,
6014,
120,
19585,
15955,
9741,
13113,
2180,
8702,
2897,
2240,
1179,
1658,
4165,
4385,
2276,
120,
18653,
4774,
4538,
12809,
2346,
18225,
1116,
2276,
120,
18448,
23554,
8043,
12148,
1158,
2162,
19907,
1233,
121,
120,
18653,
2875,
13675,
1658,
2924,
1813,
3381,
1116,
6014,
120,
5135,
2101,
2553,
118,
122,
120,
15065,
2107,
5521,
4649,
9377,
1604,
1571,
1559,
1545,
120,
18292,
2137,
1776,
8683,
1197,
2101,
4626,
4206,
2276,
120,
3405,
1708,
10354,
9388,
2101,
5822,
1620,
120,
9126,
3121,
19092,
6014,
120,
152,
14808,
121,
120,
19585,
15955,
13675,
12096,
4165,
4385,
6014,
120,
19585,
15955,
13675,
12096,
4165,
4385,
2271,
1766,
2137,
13335,
2240,
1179,
14467,
6014,
120,
11689,
17886,
1658,
22753,
2101,
2553,
2276,
120,
11689,
17886,
17243,
27847,
3663,
2428,
2559,
1348,
10589,
2276,
120,
11689,
17886,
16668,
13882,
1179,
14467,
6014,
120,
11689,
17886,
2271,
16236,
1757,
2276,
120,
11689,
17886,
3048,
1348,
4964,
4798,
2240,
1179,
14467,
2276,
120,
11689,
17886,
17195,
9741,
4165,
4385,
6014,
120,
11689,
17886,
2346,
4121,
10988,
1708,
12266,
2118,
1116,
2276,
120,
15599,
2101,
2553,
122,
120,
12859,
9388,
2271,
9921,
1116,
6014,
120,
23489,
2271,
3488,
5796,
2240,
1179,
14467,
120,
11336,
3702,
2707,
120,
16991,
2069,
5709,
2064,
21065,
1179,
14467,
120,
11689,
17886,
120,
11696,
2101,
13166,
18597,
6014,
120,
13066,
1708,
12266,
2118,
1116,
2271,
4759,
113,
114,
120,
10672,
2036,
17329,
1181,
164,
2276,
120,
12900,
1233,
118,
2117,
120,
12900,
1233,
118,
19096,
2240,
6163,
1596,
13910,
120,
12900,
1233,
118,
19096,
13910,
120,
12900,
1233,
118,
1135,
10584,
1665,
13910,
120,
12900,
1233,
13910,
120,
12900,
1233,
2249,
1813,
7596,
120,
12900,
1233,
2249,
1813,
7596,
118,
19096,
120,
12900,
1233,
2249,
1813,
7596,
118,
19096,
2240,
6163,
1596,
120,
12900,
1233,
2249,
1813,
7596,
118,
1135,
10584,
1665,
120,
12900,
1233,
2591,
7770,
13040,
7182,
120,
3168,
1592,
14964,
13284,
120,
3168,
1592,
14964,
13284,
118,
19096,
120,
3168,
1592,
14964,
13284,
118,
19096,
2240,
6163,
1596,
120,
3168,
1592,
14964,
13284,
118,
1135,
10584,
1665,
120,
3168,
1399,
2346,
5253,
1708,
2340,
1513,
120,
3168,
1399,
2346,
5253,
1708,
2340,
1513,
118,
19096,
120,
3168,
1399,
2346,
5253,
1708,
2340,
1513,
118,
19096,
2240,
6163,
1596,
120,
3168,
1399,
2346,
5253,
1708,
2340,
1513,
118,
1135,
10584,
1665,
120,
5063,
18809,
2087,
1708,
17162,
15792,
1708,
19907,
1179,
120,
5944,
120,
5944,
2349,
12858,
1596,
120
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Co",
"##mp",
"##ress",
"##P",
"##ages",
"true",
"/",
"Con",
"##vert",
"##I",
"##mage",
"##s",
"##T",
"##o",
"##I",
"##nde",
"##xed",
"true",
"/",
"Pass",
"##T",
"##hr",
"##ough",
"##JP",
"##EG",
"##I",
"##mage",
"##s",
"true",
"/",
"C",
"##reate",
"##J",
"##ob",
"##T",
"##ick",
"##et",
"false",
"/",
"De",
"##fa",
"##ult",
"##R",
"##ender",
"##ing",
"##I",
"##nte",
"##nt",
"/",
"De",
"##fa",
"##ult",
"/",
"Det",
"##ec",
"##t",
"##B",
"##len",
"##ds",
"true",
"/",
"Det",
"##ec",
"##t",
"##C",
"##ur",
"##ves",
"0",
".",
"000",
"##0",
"/",
"Color",
"##C",
"##on",
"##version",
"##S",
"##trate",
"##gy",
"/",
"Leave",
"##C",
"##olo",
"##r",
"##U",
"##nch",
"##ang",
"##ed",
"/",
"Do",
"##T",
"##hum",
"##b",
"##nail",
"##s",
"false",
"/",
"Em",
"##bed",
"##A",
"##ll",
"##F",
"##ont",
"##s",
"true",
"/",
"Em",
"##bed",
"##O",
"##pen",
"##T",
"##ype",
"false",
"/",
"Pa",
"##rse",
"##IC",
"##CP",
"##ro",
"##fi",
"##les",
"##I",
"##n",
"##C",
"##om",
"##ments",
"true",
"/",
"Em",
"##bed",
"##J",
"##ob",
"##O",
"##ption",
"##s",
"true",
"/",
"DS",
"##CR",
"##ep",
"##ort",
"##ing",
"##L",
"##eve",
"##l",
"0",
"/",
"Em",
"##it",
"##DS",
"##C",
"##W",
"##ar",
"##ning",
"##s",
"false",
"/",
"End",
"##P",
"##age",
"-",
"1",
"/",
"Image",
"##M",
"##em",
"##ory",
"104",
"##8",
"##5",
"##7",
"##6",
"/",
"Lock",
"##D",
"##ist",
"##ille",
"##r",
"##P",
"##ara",
"##ms",
"true",
"/",
"Max",
"##S",
"##ub",
"##set",
"##P",
"##ct",
"100",
"/",
"Op",
"##ti",
"##mize",
"false",
"/",
"O",
"##PM",
"0",
"/",
"Pa",
"##rse",
"##DS",
"##CC",
"##om",
"##ments",
"false",
"/",
"Pa",
"##rse",
"##DS",
"##CC",
"##om",
"##ments",
"##F",
"##or",
"##D",
"##oc",
"##I",
"##n",
"##fo",
"false",
"/",
"Pre",
"##serve",
"##C",
"##opy",
"##P",
"##age",
"true",
"/",
"Pre",
"##serve",
"##DI",
"##CM",
"##Y",
"##K",
"##V",
"##al",
"##ues",
"true",
"/",
"Pre",
"##serve",
"##EP",
"##SI",
"##n",
"##fo",
"false",
"/",
"Pre",
"##serve",
"##F",
"##lat",
"##ness",
"true",
"/",
"Pre",
"##serve",
"##H",
"##al",
"##ft",
"##one",
"##I",
"##n",
"##fo",
"true",
"/",
"Pre",
"##serve",
"##OP",
"##IC",
"##om",
"##ments",
"false",
"/",
"Pre",
"##serve",
"##O",
"##ver",
"##print",
"##S",
"##etti",
"##ng",
"##s",
"true",
"/",
"Start",
"##P",
"##age",
"1",
"/",
"Sub",
"##set",
"##F",
"##ont",
"##s",
"false",
"/",
"Transfer",
"##F",
"##un",
"##ction",
"##I",
"##n",
"##fo",
"/",
"Re",
"##mo",
"##ve",
"/",
"UC",
"##R",
"##and",
"##B",
"##GI",
"##n",
"##fo",
"/",
"Pre",
"##serve",
"/",
"Use",
"##P",
"##rol",
"##ogue",
"false",
"/",
"Color",
"##S",
"##etti",
"##ng",
"##s",
"##F",
"##ile",
"(",
")",
"/",
"Always",
"##E",
"##mbe",
"##d",
"[",
"true",
"/",
"Aria",
"##l",
"-",
"Black",
"/",
"Aria",
"##l",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"##MT",
"/",
"Aria",
"##l",
"-",
"Bold",
"##MT",
"/",
"Aria",
"##l",
"-",
"It",
"##ali",
"##c",
"##MT",
"/",
"Aria",
"##l",
"##MT",
"/",
"Aria",
"##l",
"##N",
"##ar",
"##row",
"/",
"Aria",
"##l",
"##N",
"##ar",
"##row",
"-",
"Bold",
"/",
"Aria",
"##l",
"##N",
"##ar",
"##row",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"Aria",
"##l",
"##N",
"##ar",
"##row",
"-",
"It",
"##ali",
"##c",
"/",
"Aria",
"##l",
"##U",
"##nic",
"##ode",
"##MS",
"/",
"Book",
"##A",
"##nti",
"##qua",
"/",
"Book",
"##A",
"##nti",
"##qua",
"-",
"Bold",
"/",
"Book",
"##A",
"##nti",
"##qua",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"Book",
"##A",
"##nti",
"##qua",
"-",
"It",
"##ali",
"##c",
"/",
"Book",
"##man",
"##O",
"##ld",
"##S",
"##ty",
"##le",
"/",
"Book",
"##man",
"##O",
"##ld",
"##S",
"##ty",
"##le",
"-",
"Bold",
"/",
"Book",
"##man",
"##O",
"##ld",
"##S",
"##ty",
"##le",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"Book",
"##man",
"##O",
"##ld",
"##S",
"##ty",
"##le",
"-",
"It",
"##ali",
"##c",
"/",
"Books",
"##hel",
"##f",
"##S",
"##ym",
"##bol",
"##S",
"##eve",
"##n",
"/",
"Century",
"/",
"Century",
"##G",
"##oth",
"##ic",
"/"
] | Sustainable blockchain through proof of exercise | 609 |
random n β N such that:
HBh(n) = SHA-256
2(Bh | n) β€ Ο
where H is a SHA-256 [52] hashing function that once
applied twice to the concatenation of Bh with the nonce n,
returns a positive integer not greater than a predefined target
Ο . The role of the miner is to find the nonce n that satisfies
this inequation, which leads to the first property:
(P1) Puzzle Hardness Solving the puzzle must have a notion
of hardness that manifests in the PoW itself.
Hardness in PoW is crucial for security reasons: it | [
5944,
2349,
12858,
1596,
118,
19096,
120,
5944,
2349,
12858,
1596,
118,
19096,
2240,
6163,
1596,
120,
5944,
2349,
12858,
1596,
118,
1135,
10584,
1665,
120,
5944,
1708,
8401,
4063,
6470,
120,
5944,
1708,
8401,
4063,
6470,
118,
19096,
120,
5944,
1708,
8401,
4063,
6470,
118,
19096,
2240,
6163,
1596,
120,
5944,
1708,
8401,
4063,
6470,
118,
1135,
10584,
1665,
120,
14536,
1708,
5443,
7182,
120,
14536,
1708,
5443,
7182,
118,
19096,
120,
3291,
16706,
2249,
5773,
10197,
118,
19096,
2240,
6163,
1596,
13910,
120,
3291,
16706,
2249,
5773,
10197,
118,
19096,
13910,
120,
3291,
16706,
2249,
5773,
10197,
118,
1135,
10584,
1665,
13910,
120,
3291,
16706,
2249,
5773,
10197,
13910,
120,
142,
16468,
12377,
2858,
2036,
4704,
3202,
120,
5270,
2349,
12858,
1596,
118,
19250,
120,
5270,
2349,
12858,
1596,
118,
19250,
2240,
6163,
1596,
120,
144,
4626,
10151,
120,
144,
4626,
10151,
118,
19096,
120,
144,
4626,
10151,
118,
1135,
10584,
1665,
120,
144,
24723,
11787,
120,
3260,
120,
3260,
118,
19096,
120,
3260,
118,
19096,
2240,
6163,
1596,
120,
3260,
118,
1135,
10584,
1665,
120,
11679,
6347,
2316,
1732,
23768,
120,
13788,
120,
14812,
3740,
7223,
120,
2001,
7702,
120,
14549,
2349,
12858,
1596,
13910,
120,
14549,
2349,
12858,
1596,
13910,
118,
19096,
120,
14549,
2349,
12858,
1596,
13910,
118,
19096,
2346,
1830,
21492,
120,
14549,
2349,
12858,
1596,
13910,
118,
152,
1830,
21492,
120,
13174,
6859,
1658,
4199,
9016,
120,
13174,
6859,
1708,
5443,
120,
13174,
6859,
1708,
5443,
118,
3177,
3080,
120,
13174,
6859,
1708,
5443,
118,
3177,
3080,
2240,
6163,
1596,
120,
13174,
6859,
1708,
5443,
118,
1135,
10584,
1665,
120,
13174,
6859,
1708,
5443,
2591,
7770,
13040,
120,
2268,
6997,
118,
14381,
120,
6998,
1708,
5443,
1708,
9866,
2087,
120,
22401,
27172,
1658,
3864,
12416,
120,
10978,
2069,
11470,
9014,
3633,
1708,
5443,
1708,
9866,
2087,
120,
10978,
2069,
11470,
9014,
3633,
1708,
25392,
2916,
2340,
120,
23061,
2064,
11014,
120,
19585,
16236,
4559,
2162,
4559,
15177,
118,
19096,
120,
19585,
16236,
4559,
2162,
4559,
15177,
118,
19096,
2240,
6163,
1596,
120,
19585,
16236,
4559,
2162,
4559,
15177,
118,
1135,
10584,
1665,
120,
19585,
16236,
4559,
2162,
4559,
15177,
118,
2264,
120,
16890,
21704,
120,
156,
8167,
16065,
120,
156,
7777,
8057,
1424,
120,
156,
17162,
15792,
13910,
120,
22515,
25453,
1161,
120,
22515,
25453,
1161,
118,
19096,
120,
2706,
2249,
5773,
2069,
27085,
13910,
118,
18684,
2064,
11015,
120,
2706,
2249,
5773,
2069,
27085,
10197,
118,
19096,
2240,
6163,
1596,
13910,
120,
2706,
2249,
5773,
2069,
27085,
10197,
118,
19096,
13910,
120,
2706,
2249,
5773,
2069,
27085,
10197,
118,
1135,
10584,
1665,
13910,
120,
2706,
2249,
5773,
2069,
27085,
10197,
13910,
120,
157,
1874,
7925,
17374,
118,
19096,
2240,
6163,
1596,
120,
157,
1874,
7925,
17374,
7182,
120,
157,
1874,
7925,
17374,
7182,
118,
19096,
120,
157,
1874,
7925,
17374,
7182,
118,
1135,
10584,
1665,
120,
17037,
12253,
118,
14381,
120,
159,
25081,
3906,
120,
159,
25081,
3906,
118,
19096,
120,
159,
25081,
3906,
118,
19096,
2240,
6163,
1596,
120,
159,
25081,
3906,
118,
1135,
10584,
1665,
120,
159,
4854,
1810,
120
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Century",
"##G",
"##oth",
"##ic",
"-",
"Bold",
"/",
"Century",
"##G",
"##oth",
"##ic",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"Century",
"##G",
"##oth",
"##ic",
"-",
"It",
"##ali",
"##c",
"/",
"Century",
"##S",
"##cho",
"##ol",
"##book",
"/",
"Century",
"##S",
"##cho",
"##ol",
"##book",
"-",
"Bold",
"/",
"Century",
"##S",
"##cho",
"##ol",
"##book",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"Century",
"##S",
"##cho",
"##ol",
"##book",
"-",
"It",
"##ali",
"##c",
"/",
"Comic",
"##S",
"##ans",
"##MS",
"/",
"Comic",
"##S",
"##ans",
"##MS",
"-",
"Bold",
"/",
"Co",
"##urier",
"##N",
"##ew",
"##PS",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"##MT",
"/",
"Co",
"##urier",
"##N",
"##ew",
"##PS",
"-",
"Bold",
"##MT",
"/",
"Co",
"##urier",
"##N",
"##ew",
"##PS",
"-",
"It",
"##ali",
"##c",
"##MT",
"/",
"Co",
"##urier",
"##N",
"##ew",
"##PS",
"##MT",
"/",
"E",
"##stra",
"##nge",
"##lo",
"##E",
"##des",
"##sa",
"/",
"Franklin",
"##G",
"##oth",
"##ic",
"-",
"Medium",
"/",
"Franklin",
"##G",
"##oth",
"##ic",
"-",
"Medium",
"##I",
"##tal",
"##ic",
"/",
"G",
"##ara",
"##mond",
"/",
"G",
"##ara",
"##mond",
"-",
"Bold",
"/",
"G",
"##ara",
"##mond",
"-",
"It",
"##ali",
"##c",
"/",
"G",
"##aut",
"##ami",
"/",
"Georgia",
"/",
"Georgia",
"-",
"Bold",
"/",
"Georgia",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"Georgia",
"-",
"It",
"##ali",
"##c",
"/",
"Ha",
"##ette",
"##ns",
"##ch",
"##weiler",
"/",
"Impact",
"/",
"Ka",
"##rt",
"##ika",
"/",
"La",
"##tha",
"/",
"Letter",
"##G",
"##oth",
"##ic",
"##MT",
"/",
"Letter",
"##G",
"##oth",
"##ic",
"##MT",
"-",
"Bold",
"/",
"Letter",
"##G",
"##oth",
"##ic",
"##MT",
"-",
"Bold",
"##O",
"##b",
"##lique",
"/",
"Letter",
"##G",
"##oth",
"##ic",
"##MT",
"-",
"O",
"##b",
"##lique",
"/",
"Luc",
"##ida",
"##C",
"##ons",
"##ole",
"/",
"Luc",
"##ida",
"##S",
"##ans",
"/",
"Luc",
"##ida",
"##S",
"##ans",
"-",
"De",
"##mi",
"/",
"Luc",
"##ida",
"##S",
"##ans",
"-",
"De",
"##mi",
"##I",
"##tal",
"##ic",
"/",
"Luc",
"##ida",
"##S",
"##ans",
"-",
"It",
"##ali",
"##c",
"/",
"Luc",
"##ida",
"##S",
"##ans",
"##U",
"##nic",
"##ode",
"/",
"Man",
"##gal",
"-",
"Regular",
"/",
"Microsoft",
"##S",
"##ans",
"##S",
"##eri",
"##f",
"/",
"Mon",
"##otype",
"##C",
"##ors",
"##iva",
"/",
"MS",
"##R",
"##ef",
"##ere",
"##nce",
"##S",
"##ans",
"##S",
"##eri",
"##f",
"/",
"MS",
"##R",
"##ef",
"##ere",
"##nce",
"##S",
"##pec",
"##ial",
"##ty",
"/",
"MV",
"##B",
"##oli",
"/",
"Pa",
"##lat",
"##ino",
"##L",
"##ino",
"##type",
"-",
"Bold",
"/",
"Pa",
"##lat",
"##ino",
"##L",
"##ino",
"##type",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"Pa",
"##lat",
"##ino",
"##L",
"##ino",
"##type",
"-",
"It",
"##ali",
"##c",
"/",
"Pa",
"##lat",
"##ino",
"##L",
"##ino",
"##type",
"-",
"Roman",
"/",
"Ra",
"##avi",
"/",
"S",
"##hr",
"##uti",
"/",
"S",
"##yl",
"##fa",
"##en",
"/",
"S",
"##ym",
"##bol",
"##MT",
"/",
"Ta",
"##hom",
"##a",
"/",
"Ta",
"##hom",
"##a",
"-",
"Bold",
"/",
"Times",
"##N",
"##ew",
"##R",
"##oman",
"##MT",
"-",
"Extra",
"##B",
"##old",
"/",
"Times",
"##N",
"##ew",
"##R",
"##oman",
"##PS",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"##MT",
"/",
"Times",
"##N",
"##ew",
"##R",
"##oman",
"##PS",
"-",
"Bold",
"##MT",
"/",
"Times",
"##N",
"##ew",
"##R",
"##oman",
"##PS",
"-",
"It",
"##ali",
"##c",
"##MT",
"/",
"Times",
"##N",
"##ew",
"##R",
"##oman",
"##PS",
"##MT",
"/",
"T",
"##re",
"##bu",
"##chet",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"T",
"##re",
"##bu",
"##chet",
"##MS",
"/",
"T",
"##re",
"##bu",
"##chet",
"##MS",
"-",
"Bold",
"/",
"T",
"##re",
"##bu",
"##chet",
"##MS",
"-",
"It",
"##ali",
"##c",
"/",
"Tu",
"##nga",
"-",
"Regular",
"/",
"V",
"##erd",
"##ana",
"/",
"V",
"##erd",
"##ana",
"-",
"Bold",
"/",
"V",
"##erd",
"##ana",
"-",
"Bold",
"##I",
"##tal",
"##ic",
"/",
"V",
"##erd",
"##ana",
"-",
"It",
"##ali",
"##c",
"/",
"V",
"##rin",
"##da",
"/"
] | Sustainable blockchain through proof of exercise | 610 |
deters
the adversary from constructing new blocks to possibly incur
conflicting transactions and succeed in double spending. In
Bitcoin, the creation of a block (i.e., solving the puzzle) is
rewarded by Bitcoins, which is believed to be an incentive for
an adversary to solve the puzzle and provide the corresponding
PoW, rather than attacking the system. Therefore, the hardness
must be reflected in the PoW.
Indeed, cryptographic hashing is interesting as the inverse
function Hβ1Bh does not exist. | [
9059,
3408,
1116,
120,
5517,
3408,
1116,
1477,
120,
5517,
3408,
1116,
1495,
120,
5517,
3408,
1116,
118,
14381,
120,
163,
11840,
2572,
3962,
2271,
166,
120,
5091,
2036,
17329,
1181,
164,
2276,
166,
120,
8329,
1592,
4567,
1116,
1658,
12805,
1197,
2240,
27525,
1116,
6014,
120,
140,
12736,
1658,
12805,
1197,
2240,
27525,
1116,
2276,
120,
13066,
2240,
27525,
2107,
1394,
2069,
1279,
4063,
12964,
2363,
120,
13066,
2240,
27525,
2107,
1394,
2069,
1279,
4063,
12964,
2101,
14987,
1183,
120,
10899,
120,
15794,
26671,
1658,
12805,
1197,
2240,
27525,
1116,
2276,
120,
13066,
2240,
27525,
2137,
13798,
3202,
26318,
1942,
16726,
120,
139,
1596,
25422,
1665,
120,
13066,
2240,
27525,
2069,
1279,
4063,
12964,
3127,
120,
13066,
2240,
27525,
2137,
15384,
1324,
118,
122,
120,
13066,
2240,
27525,
2107,
1394,
2137,
13798,
3202,
26318,
2137,
15384,
1324,
122,
120,
13066,
2240,
27525,
2137,
13798,
3202,
26318,
1942,
8167,
10654,
11015,
122,
119,
13837,
1568,
120,
13832,
13775,
1658,
12805,
1197,
2240,
27525,
1116,
2276,
120,
13066,
2240,
27525,
2271,
14080,
1200,
120,
5227,
12880,
23573,
2007,
120,
12983,
2271,
14080,
1200,
1658,
12805,
1197,
2240,
27525,
1116,
6014,
120,
13066,
2240,
27525,
1592,
21017,
2271,
14080,
1200,
1708,
18775,
4873,
120,
18283,
17020,
120,
13066,
8101,
13882,
27525,
2137,
17882,
133,
133,
120,
154,
2271,
22610,
121,
119,
5465,
120,
145,
1708,
26671,
1116,
164,
123,
122,
122,
123,
166,
120,
159,
1708,
26671,
1116,
164,
123,
122,
122,
123,
166,
135,
135,
120,
13066,
2240,
27525,
2137,
17882,
133,
133,
120,
154,
2271,
22610,
121,
119,
5465,
120,
145,
1708,
26671,
1116,
164,
123,
122,
122,
123,
166,
120,
159,
1708,
26671,
1116,
164,
123,
122,
122,
123,
166,
135,
135,
120,
18283,
17020,
10973,
7629,
1658,
12805,
1197,
8101,
13882,
27525,
2137,
17882,
133,
133,
120,
157,
4759,
2924,
2386,
1582,
18440,
120,
157,
4759,
3048,
6851,
10245,
18440,
120,
14801,
1405,
135,
135,
120,
18283,
17020,
10973,
7629,
1658,
12805,
1197,
2240,
27525,
2137,
17882,
133,
133,
120,
157,
4759,
2924,
2386,
1582,
18440,
120,
157,
4759,
3048,
6851,
10245,
18440,
120,
14801,
1405,
135,
135,
120,
8329,
1592,
4567,
1116,
2349,
6447,
2240,
27525,
1116,
6014,
120,
140,
12736,
2349,
6447,
2240,
27525,
1116,
2276,
120,
4823,
2240,
27525,
2107,
1394,
2069,
1279,
4063,
12964,
2363,
120,
4823,
2240,
27525,
2107,
1394,
2069,
1279,
4063,
12964,
2101,
14987,
1183,
120,
10899,
120,
15794,
26671,
2349,
6447,
2240,
27525,
1116,
2276,
120,
4823,
2240,
27525,
2137,
13798,
3202,
26318,
1942,
16726,
120,
139,
1596,
25422,
1665,
120,
4823,
2240,
27525,
2069,
1279,
4063,
12964,
3127,
120,
4823,
2240,
27525,
2137,
15384,
1324,
118,
122,
120,
4823,
2240,
27525,
2107,
1394,
2137,
13798,
3202,
26318,
2137,
15384,
1324,
123,
120,
4823,
2240,
27525,
2137,
13798,
3202,
26318,
1942,
8167,
10654,
11015,
122,
119,
13837,
1568,
120,
13832,
13775,
2349,
6447,
2240,
27525,
1116,
2276,
120,
4823,
2240,
27525,
2271,
14080,
1200,
120,
5227,
12880,
23573,
2007,
120,
12983,
2271,
14080,
1200,
2349,
6447,
2240,
27525,
1116,
6014,
120,
4823,
2240,
27525,
1592,
21017,
2271,
14080,
1200,
1708
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Web",
"##ding",
"##s",
"/",
"Wing",
"##ding",
"##s",
"##2",
"/",
"Wing",
"##ding",
"##s",
"##3",
"/",
"Wing",
"##ding",
"##s",
"-",
"Regular",
"/",
"Z",
"##WA",
"##do",
"##be",
"##F",
"]",
"/",
"Never",
"##E",
"##mbe",
"##d",
"[",
"true",
"]",
"/",
"Anti",
"##A",
"##lia",
"##s",
"##C",
"##olo",
"##r",
"##I",
"##mage",
"##s",
"false",
"/",
"C",
"##rop",
"##C",
"##olo",
"##r",
"##I",
"##mage",
"##s",
"true",
"/",
"Color",
"##I",
"##mage",
"##M",
"##in",
"##R",
"##es",
"##ol",
"##ution",
"200",
"/",
"Color",
"##I",
"##mage",
"##M",
"##in",
"##R",
"##es",
"##ol",
"##ution",
"##P",
"##olic",
"##y",
"/",
"OK",
"/",
"Downs",
"##ample",
"##C",
"##olo",
"##r",
"##I",
"##mage",
"##s",
"true",
"/",
"Color",
"##I",
"##mage",
"##D",
"##own",
"##sa",
"##mple",
"##T",
"##ype",
"/",
"B",
"##ic",
"##ubi",
"##c",
"/",
"Color",
"##I",
"##mage",
"##R",
"##es",
"##ol",
"##ution",
"300",
"/",
"Color",
"##I",
"##mage",
"##D",
"##ept",
"##h",
"-",
"1",
"/",
"Color",
"##I",
"##mage",
"##M",
"##in",
"##D",
"##own",
"##sa",
"##mple",
"##D",
"##ept",
"##h",
"1",
"/",
"Color",
"##I",
"##mage",
"##D",
"##own",
"##sa",
"##mple",
"##T",
"##hr",
"##esh",
"##old",
"1",
".",
"5000",
"##0",
"/",
"En",
"##code",
"##C",
"##olo",
"##r",
"##I",
"##mage",
"##s",
"true",
"/",
"Color",
"##I",
"##mage",
"##F",
"##ilt",
"##er",
"/",
"DC",
"##TE",
"##nco",
"##de",
"/",
"Auto",
"##F",
"##ilt",
"##er",
"##C",
"##olo",
"##r",
"##I",
"##mage",
"##s",
"false",
"/",
"Color",
"##I",
"##mage",
"##A",
"##uto",
"##F",
"##ilt",
"##er",
"##S",
"##trate",
"##gy",
"/",
"JP",
"##EG",
"/",
"Color",
"##AC",
"##SI",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"Q",
"##F",
"##actor",
"0",
".",
"76",
"/",
"H",
"##S",
"##ample",
"##s",
"[",
"2",
"1",
"1",
"2",
"]",
"/",
"V",
"##S",
"##ample",
"##s",
"[",
"2",
"1",
"1",
"2",
"]",
">",
">",
"/",
"Color",
"##I",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"Q",
"##F",
"##actor",
"0",
".",
"76",
"/",
"H",
"##S",
"##ample",
"##s",
"[",
"2",
"1",
"1",
"2",
"]",
"/",
"V",
"##S",
"##ample",
"##s",
"[",
"2",
"1",
"1",
"2",
"]",
">",
">",
"/",
"JP",
"##EG",
"##20",
"##00",
"##C",
"##olo",
"##r",
"##AC",
"##SI",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"T",
"##ile",
"##W",
"##id",
"##th",
"256",
"/",
"T",
"##ile",
"##H",
"##ei",
"##ght",
"256",
"/",
"Quality",
"15",
">",
">",
"/",
"JP",
"##EG",
"##20",
"##00",
"##C",
"##olo",
"##r",
"##I",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"T",
"##ile",
"##W",
"##id",
"##th",
"256",
"/",
"T",
"##ile",
"##H",
"##ei",
"##ght",
"256",
"/",
"Quality",
"15",
">",
">",
"/",
"Anti",
"##A",
"##lia",
"##s",
"##G",
"##ray",
"##I",
"##mage",
"##s",
"false",
"/",
"C",
"##rop",
"##G",
"##ray",
"##I",
"##mage",
"##s",
"true",
"/",
"Gray",
"##I",
"##mage",
"##M",
"##in",
"##R",
"##es",
"##ol",
"##ution",
"200",
"/",
"Gray",
"##I",
"##mage",
"##M",
"##in",
"##R",
"##es",
"##ol",
"##ution",
"##P",
"##olic",
"##y",
"/",
"OK",
"/",
"Downs",
"##ample",
"##G",
"##ray",
"##I",
"##mage",
"##s",
"true",
"/",
"Gray",
"##I",
"##mage",
"##D",
"##own",
"##sa",
"##mple",
"##T",
"##ype",
"/",
"B",
"##ic",
"##ubi",
"##c",
"/",
"Gray",
"##I",
"##mage",
"##R",
"##es",
"##ol",
"##ution",
"300",
"/",
"Gray",
"##I",
"##mage",
"##D",
"##ept",
"##h",
"-",
"1",
"/",
"Gray",
"##I",
"##mage",
"##M",
"##in",
"##D",
"##own",
"##sa",
"##mple",
"##D",
"##ept",
"##h",
"2",
"/",
"Gray",
"##I",
"##mage",
"##D",
"##own",
"##sa",
"##mple",
"##T",
"##hr",
"##esh",
"##old",
"1",
".",
"5000",
"##0",
"/",
"En",
"##code",
"##G",
"##ray",
"##I",
"##mage",
"##s",
"true",
"/",
"Gray",
"##I",
"##mage",
"##F",
"##ilt",
"##er",
"/",
"DC",
"##TE",
"##nco",
"##de",
"/",
"Auto",
"##F",
"##ilt",
"##er",
"##G",
"##ray",
"##I",
"##mage",
"##s",
"false",
"/",
"Gray",
"##I",
"##mage",
"##A",
"##uto",
"##F",
"##ilt",
"##er",
"##S"
] | Sustainable blockchain through proof of exercise | 611 |
Consequently, to find the nonce
n, miners keep incrementing it until the function HBh(n) β€ Ο
holds true. Since n is implemented as a 32 Byte (i.e., 256
bits) integer in Bitcoin, the possible values of n are 2256
which is an extremely huge number to cover in a short time.
(Given the current difficulty Ο β 1012, specialized hardware
having a hash rate of Terahashs/s [51] need several years to
solve the puzzle [50].) Despite the fact that this randomness
my lead to finding the nonce quickly, on average, | [
18775,
4873,
120,
18283,
17020,
120,
4823,
8101,
13882,
27525,
2137,
17882,
133,
133,
120,
154,
2271,
22610,
121,
119,
5465,
120,
145,
1708,
26671,
1116,
164,
123,
122,
122,
123,
166,
120,
159,
1708,
26671,
1116,
164,
123,
122,
122,
123,
166,
135,
135,
120,
4823,
2240,
27525,
2137,
17882,
133,
133,
120,
154,
2271,
22610,
121,
119,
5465,
120,
145,
1708,
26671,
1116,
164,
123,
122,
122,
123,
166,
120,
159,
1708,
26671,
1116,
164,
123,
122,
122,
123,
166,
135,
135,
120,
18283,
17020,
10973,
7629,
2349,
6447,
8101,
13882,
27525,
2137,
17882,
133,
133,
120,
157,
4759,
2924,
2386,
1582,
18440,
120,
157,
4759,
3048,
6851,
10245,
18440,
120,
14801,
1405,
135,
135,
120,
18283,
17020,
10973,
7629,
2349,
6447,
2240,
27525,
2137,
17882,
133,
133,
120,
157,
4759,
2924,
2386,
1582,
18440,
120,
157,
4759,
3048,
6851,
10245,
18440,
120,
14801,
1405,
135,
135,
120,
8329,
1592,
4567,
1116,
2107,
23038,
2240,
27525,
1116,
6014,
120,
140,
12736,
2107,
23038,
2240,
27525,
1116,
2276,
120,
22401,
1186,
2240,
27525,
2107,
1394,
2069,
1279,
4063,
12964,
3434,
120,
22401,
1186,
2240,
27525,
2107,
1394,
2069,
1279,
4063,
12964,
2101,
14987,
1183,
120,
10899,
120,
15794,
26671,
2107,
23038,
2240,
27525,
1116,
2276,
120,
22401,
1186,
2240,
27525,
2137,
13798,
3202,
26318,
1942,
16726,
120,
139,
1596,
25422,
1665,
120,
22401,
1186,
2240,
27525,
2069,
1279,
4063,
12964,
4372,
120,
22401,
1186,
2240,
27525,
2137,
15384,
1324,
118,
122,
120,
22401,
1186,
2240,
27525,
2137,
13798,
3202,
26318,
1942,
8167,
10654,
11015,
122,
119,
13837,
1568,
120,
13832,
13775,
2107,
23038,
2240,
27525,
1116,
2276,
120,
22401,
1186,
2240,
27525,
2271,
14080,
1200,
120,
21362,
12150,
22169,
7897,
2036,
23573,
2007,
120,
22401,
1186,
2240,
27525,
2137,
17882,
133,
133,
120,
148,
118,
122,
135,
135,
120,
1398,
4064,
10197,
3190,
2346,
24380,
1116,
6014,
120,
23114,
1658,
4165,
1643,
20541,
164,
120,
7330,
166,
120,
12955,
3190,
1475,
1161,
1658,
4638,
2158,
6014,
120,
12955,
3190,
1495,
1658,
4638,
2158,
6014,
120,
12955,
3190,
1658,
4165,
27898,
15481,
2271,
2346,
1179,
1193,
6014,
120,
12955,
3190,
2249,
1186,
1942,
10205,
2064,
10649,
2036,
13656,
1197,
2276,
120,
12955,
23206,
10205,
2064,
10649,
1942,
1186,
2107,
18246,
2064,
10649,
2346,
13348,
2105,
164,
121,
119,
1288,
7629,
121,
119,
1288,
7629,
121,
119,
1288,
7629,
121,
119,
1288,
7629,
166,
120,
12955,
3190,
1708,
2105,
2064,
6894,
1181,
2064,
10649,
1942,
1186,
2107,
18246,
2064,
10649,
2276,
120,
12955,
3190,
2064,
6894,
1181,
2064,
10649,
1942,
1186,
1942,
10205,
2064,
10649,
2346,
13348,
2105,
164,
121,
119,
1288,
7629,
121,
119,
1288,
7629,
121,
119,
1288,
7629,
121,
119,
1288,
7629,
166,
120,
12955,
3190,
2346,
3818,
16156,
2240,
11656,
2227,
2101,
2180,
8702,
1513,
113,
7330,
114,
120,
12955,
3190,
2346,
3818,
16156,
1658,
16838,
8934,
2240,
11951,
17792,
113,
114,
120,
12955,
3190,
2346,
3818,
16156,
1658,
16838,
8934,
113,
114,
120,
12955,
3190,
2069,
12606,
1776,
1616,
2249,
16470,
113,
114,
120,
12955,
23206,
27279,
120,
143,
7264,
1162,
120,
140,
15998,
4538,
16395
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##trate",
"##gy",
"/",
"JP",
"##EG",
"/",
"Gray",
"##AC",
"##SI",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"Q",
"##F",
"##actor",
"0",
".",
"76",
"/",
"H",
"##S",
"##ample",
"##s",
"[",
"2",
"1",
"1",
"2",
"]",
"/",
"V",
"##S",
"##ample",
"##s",
"[",
"2",
"1",
"1",
"2",
"]",
">",
">",
"/",
"Gray",
"##I",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"Q",
"##F",
"##actor",
"0",
".",
"76",
"/",
"H",
"##S",
"##ample",
"##s",
"[",
"2",
"1",
"1",
"2",
"]",
"/",
"V",
"##S",
"##ample",
"##s",
"[",
"2",
"1",
"1",
"2",
"]",
">",
">",
"/",
"JP",
"##EG",
"##20",
"##00",
"##G",
"##ray",
"##AC",
"##SI",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"T",
"##ile",
"##W",
"##id",
"##th",
"256",
"/",
"T",
"##ile",
"##H",
"##ei",
"##ght",
"256",
"/",
"Quality",
"15",
">",
">",
"/",
"JP",
"##EG",
"##20",
"##00",
"##G",
"##ray",
"##I",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"T",
"##ile",
"##W",
"##id",
"##th",
"256",
"/",
"T",
"##ile",
"##H",
"##ei",
"##ght",
"256",
"/",
"Quality",
"15",
">",
">",
"/",
"Anti",
"##A",
"##lia",
"##s",
"##M",
"##ono",
"##I",
"##mage",
"##s",
"false",
"/",
"C",
"##rop",
"##M",
"##ono",
"##I",
"##mage",
"##s",
"true",
"/",
"Mon",
"##o",
"##I",
"##mage",
"##M",
"##in",
"##R",
"##es",
"##ol",
"##ution",
"400",
"/",
"Mon",
"##o",
"##I",
"##mage",
"##M",
"##in",
"##R",
"##es",
"##ol",
"##ution",
"##P",
"##olic",
"##y",
"/",
"OK",
"/",
"Downs",
"##ample",
"##M",
"##ono",
"##I",
"##mage",
"##s",
"true",
"/",
"Mon",
"##o",
"##I",
"##mage",
"##D",
"##own",
"##sa",
"##mple",
"##T",
"##ype",
"/",
"B",
"##ic",
"##ubi",
"##c",
"/",
"Mon",
"##o",
"##I",
"##mage",
"##R",
"##es",
"##ol",
"##ution",
"600",
"/",
"Mon",
"##o",
"##I",
"##mage",
"##D",
"##ept",
"##h",
"-",
"1",
"/",
"Mon",
"##o",
"##I",
"##mage",
"##D",
"##own",
"##sa",
"##mple",
"##T",
"##hr",
"##esh",
"##old",
"1",
".",
"5000",
"##0",
"/",
"En",
"##code",
"##M",
"##ono",
"##I",
"##mage",
"##s",
"true",
"/",
"Mon",
"##o",
"##I",
"##mage",
"##F",
"##ilt",
"##er",
"/",
"CC",
"##IT",
"##TF",
"##ax",
"##E",
"##nco",
"##de",
"/",
"Mon",
"##o",
"##I",
"##mage",
"##D",
"##ict",
"<",
"<",
"/",
"K",
"-",
"1",
">",
">",
"/",
"All",
"##ow",
"##PS",
"##X",
"##O",
"##bject",
"##s",
"false",
"/",
"Check",
"##C",
"##om",
"##p",
"##liance",
"[",
"/",
"None",
"]",
"/",
"PDF",
"##X",
"##1",
"##a",
"##C",
"##he",
"##ck",
"false",
"/",
"PDF",
"##X",
"##3",
"##C",
"##he",
"##ck",
"false",
"/",
"PDF",
"##X",
"##C",
"##om",
"##pliant",
"##PD",
"##F",
"##O",
"##n",
"##ly",
"false",
"/",
"PDF",
"##X",
"##N",
"##o",
"##T",
"##rim",
"##B",
"##ox",
"##E",
"##rro",
"##r",
"true",
"/",
"PDF",
"##XT",
"##rim",
"##B",
"##ox",
"##T",
"##o",
"##M",
"##edia",
"##B",
"##ox",
"##O",
"##ffs",
"##et",
"[",
"0",
".",
"000",
"##00",
"0",
".",
"000",
"##00",
"0",
".",
"000",
"##00",
"0",
".",
"000",
"##00",
"]",
"/",
"PDF",
"##X",
"##S",
"##et",
"##B",
"##lee",
"##d",
"##B",
"##ox",
"##T",
"##o",
"##M",
"##edia",
"##B",
"##ox",
"true",
"/",
"PDF",
"##X",
"##B",
"##lee",
"##d",
"##B",
"##ox",
"##T",
"##o",
"##T",
"##rim",
"##B",
"##ox",
"##O",
"##ffs",
"##et",
"[",
"0",
".",
"000",
"##00",
"0",
".",
"000",
"##00",
"0",
".",
"000",
"##00",
"0",
".",
"000",
"##00",
"]",
"/",
"PDF",
"##X",
"##O",
"##ut",
"##put",
"##I",
"##nte",
"##nt",
"##P",
"##ro",
"##fi",
"##le",
"(",
"None",
")",
"/",
"PDF",
"##X",
"##O",
"##ut",
"##put",
"##C",
"##ond",
"##ition",
"##I",
"##dent",
"##ifier",
"(",
")",
"/",
"PDF",
"##X",
"##O",
"##ut",
"##put",
"##C",
"##ond",
"##ition",
"(",
")",
"/",
"PDF",
"##X",
"##R",
"##eg",
"##ist",
"##ry",
"##N",
"##ame",
"(",
")",
"/",
"PDF",
"##XT",
"##rapped",
"/",
"F",
"##als",
"##e",
"/",
"C",
"##reate",
"##J",
"##DF"
] | Sustainable blockchain through proof of exercise | 612 |
a single
miner will not often succeed in solving the puzzle in 10
minutes, which is the typical maintained time to create a
new block by the entire network β and thus the miner
has to restart the process from scratch as Bh will change.
Maintaining this time frame is guaranteed by modifying Ο ;
and here comes the second | [
2271,
4759,
6014,
120,
14177,
27530,
133,
133,
120,
24890,
1708,
133,
100,
135,
120,
24890,
1942,
133,
100,
135,
120,
141,
14962,
133,
100,
135,
120,
18581,
2591,
133,
100,
135,
120,
142,
15735,
133,
100,
135,
120,
143,
9664,
133,
100,
135,
120,
9686,
1592,
113,
158,
19621,
9368,
8950,
1162,
12485,
1162,
24034,
15540,
19888,
11153,
1679,
172,
11811,
1874,
5830,
1182,
25327,
12955,
8050,
19934,
1182,
1679,
5173,
9368,
8950,
1162,
174,
13182,
8836,
5830,
1182,
170,
15039,
7807,
2646,
1107,
182,
5412,
1186,
170,
3101,
6859,
15197,
1162,
119,
146,
5830,
1182,
12955,
172,
11811,
3121,
185,
13159,
23038,
13936,
6906,
1162,
170,
17786,
1182,
14255,
138,
1665,
2180,
14602,
174,
25327,
17608,
126,
119,
121,
174,
1683,
1182,
11598,
119,
114,
120,
18283,
2249,
133,
100,
135,
120,
148,
9565,
133,
100,
135,
120,
21239,
2137,
113,
144,
15581,
5082,
4847,
1260,
3171,
22233,
7854,
1979,
1424,
184,
1306,
25327,
12955,
118,
5830,
1424,
21359,
1294,
1179,
20049,
20350,
3051,
195,
9899,
2646,
17187,
1162,
5830,
1424,
7023,
20645,
2246,
2822,
1813,
180,
3488,
9573,
1937,
1424,
1195,
1200,
2176,
2176,
7912,
4035,
170,
2087,
3660,
25192,
1204,
119,
3177,
176,
14494,
3715,
1566,
12955,
118,
5830,
1424,
180,
3488,
9573,
1937,
1424,
176,
8209,
11741,
1181,
1899,
138,
1665,
2180,
14602,
4035,
25327,
17608,
126,
119,
121,
4035,
16358,
2895,
119,
114,
120,
24819,
2069,
133,
100,
135,
120,
22216,
2064,
133,
100,
135,
120,
156,
2591,
2346,
133,
100,
135,
120,
21479,
2036,
133,
100,
135,
120,
142,
21760,
113,
11696,
1292,
11106,
1106,
2561,
12955,
1116,
1115,
1801,
1103,
107,
11336,
15174,
1181,
107,
11106,
1111,
12955,
156,
27934,
1891,
125,
119,
5187,
114,
135,
135,
135,
135,
1383,
10396,
19621,
2879,
17482,
18450,
133,
133,
120,
145,
15824,
1279,
4063,
12964,
164,
4372,
4372,
166,
120,
8500,
1708,
3708,
164,
5391,
1477,
119,
1288,
5899,
1477,
119,
1288,
166,
135,
135,
1383,
15004,
2007,
14301
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##F",
"##ile",
"false",
"/",
"Des",
"##cription",
"<",
"<",
"/",
"CH",
"##S",
"<",
"[UNK]",
">",
"/",
"CH",
"##T",
"<",
"[UNK]",
">",
"/",
"D",
"##AN",
"<",
"[UNK]",
">",
"/",
"DE",
"##U",
"<",
"[UNK]",
">",
"/",
"E",
"##SP",
"<",
"[UNK]",
">",
"/",
"F",
"##RA",
"<",
"[UNK]",
">",
"/",
"IT",
"##A",
"(",
"U",
"##til",
"##iz",
"##zar",
"##e",
"quest",
"##e",
"imp",
"##ost",
"##azi",
"##oni",
"per",
"c",
"##rea",
"##re",
"document",
"##i",
"Adobe",
"PDF",
"ad",
"##att",
"##i",
"per",
"visual",
"##iz",
"##zar",
"##e",
"e",
"stamp",
"##are",
"document",
"##i",
"a",
"##zie",
"##nda",
"##li",
"in",
"m",
"##od",
"##o",
"a",
"##ff",
"##ida",
"##bil",
"##e",
".",
"I",
"document",
"##i",
"PDF",
"c",
"##rea",
"##ti",
"p",
"##oss",
"##ono",
"es",
"##ser",
"##e",
"a",
"##pert",
"##i",
"con",
"A",
"##c",
"##ro",
"##bat",
"e",
"Adobe",
"Reader",
"5",
".",
"0",
"e",
"version",
"##i",
"successive",
".",
")",
"/",
"JP",
"##N",
"<",
"[UNK]",
">",
"/",
"K",
"##OR",
"<",
"[UNK]",
">",
"/",
"NL",
"##D",
"(",
"G",
"##eb",
"##ru",
"##ik",
"de",
"##ze",
"ins",
"##tel",
"##ling",
"##en",
"o",
"##m",
"Adobe",
"PDF",
"-",
"document",
"##en",
"te",
"make",
"##n",
"wa",
"##arm",
"##ee",
"z",
"##ake",
"##li",
"##jk",
"##e",
"document",
"##en",
"bet",
"##rou",
"##w",
"##ba",
"##ar",
"k",
"##un",
"##nen",
"word",
"##en",
"we",
"##er",
"##ge",
"##ge",
"##ven",
"en",
"a",
"##f",
"##ged",
"##ruk",
"##t",
".",
"De",
"g",
"##ema",
"##ak",
"##te",
"PDF",
"-",
"document",
"##en",
"k",
"##un",
"##nen",
"word",
"##en",
"g",
"##eo",
"##pen",
"##d",
"met",
"A",
"##c",
"##ro",
"##bat",
"en",
"Adobe",
"Reader",
"5",
".",
"0",
"en",
"ho",
"##ger",
".",
")",
"/",
"NO",
"##R",
"<",
"[UNK]",
">",
"/",
"PT",
"##B",
"<",
"[UNK]",
">",
"/",
"S",
"##U",
"##O",
"<",
"[UNK]",
">",
"/",
"SV",
"##E",
"<",
"[UNK]",
">",
"/",
"E",
"##NU",
"(",
"Use",
"these",
"settings",
"to",
"create",
"PDF",
"##s",
"that",
"match",
"the",
"\"",
"Re",
"##quire",
"##d",
"\"",
"settings",
"for",
"PDF",
"S",
"##pecific",
"##ation",
"4",
".",
"01",
")",
">",
">",
">",
">",
"set",
"##dis",
"##til",
"##ler",
"##par",
"##ams",
"<",
"<",
"/",
"H",
"##WR",
"##es",
"##ol",
"##ution",
"[",
"600",
"600",
"]",
"/",
"Page",
"##S",
"##ize",
"[",
"61",
"##2",
".",
"000",
"79",
"##2",
".",
"000",
"]",
">",
">",
"set",
"##page",
"##de",
"##vice"
] | Sustainable blockchain through proof of exercise | 613 |
Proof-of-Authentication for Scalable Blockchain in Resource-Constrained Distributed Systems
Proof-of-Authentication for Scalable Blockchain inResource-Constrained Distributed Systems
Deepak Puthal β, Saraju P. Mohanty β , Priyadarsi Nanda β, Elias Kougianos β‘, and Gautam Das Β§β Faculty of Engineering and Information Technologies, University of Technology Sydney, Australia
Email: {Deepak.Puthal, Priyadarsi.Nanda} @ uts.edu.auβ Department of Computer Science and Engineering, University of North Texas, USA
E | [
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1111,
20452,
5971,
2165,
8093,
7147,
1394,
1107,
17282,
118,
16752,
16468,
9044,
12120,
2050,
2047,
24595,
6475,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1111,
20452,
5971,
2165,
8093,
7147,
1394,
1107,
2069,
1279,
6334,
2093,
118,
16752,
16468,
9044,
12120,
2050,
2047,
24595,
6475,
7786,
3715,
11913,
7654,
852,
117,
6936,
9380,
153,
119,
20165,
2340,
792,
117,
153,
16383,
7858,
5053,
20689,
1810,
852,
117,
16325,
19892,
9610,
16265,
1116,
793,
117,
1105,
144,
24723,
2312,
10730,
204,
852,
6694,
1104,
3939,
1105,
4219,
14164,
117,
1239,
1104,
3529,
3122,
117,
1754,
18653,
11922,
131,
196,
7786,
3715,
119,
11913,
7654,
117,
153,
16383,
7858,
5053,
119,
20689,
1810,
198,
137,
190,
2145,
119,
5048,
1358,
119,
12686,
792,
1951,
1104,
6701,
2444,
1105,
3939,
117,
1239,
1104,
1456,
2245,
117,
3066,
18653,
11922,
131,
196,
6936,
9380,
119,
20165,
2340,
198,
137,
8362,
1204,
119,
5048,
1358,
793,
1951,
1104,
3939,
3529,
117,
1239,
1104,
1456,
2245,
117,
3066,
18653,
11922,
131,
196,
16325,
119,
19892,
9610,
16265,
1116,
198,
137,
8362,
1204,
119,
5048,
1358,
204,
1951,
1104,
6701,
2444,
1105,
3939,
117,
1109,
1239,
1104,
2245,
1120,
14415,
117,
3066,
18653,
11922,
131,
176,
9028,
137,
190,
1777,
119,
5048,
1358,
138,
4832,
15017,
783,
17282,
118,
14255,
16468,
9044,
4901,
2344,
1216,
1112,
10681,
4639,
1104,
7149,
113,
146,
1186,
1942,
114,
117,
2652,
12783,
1105,
10335,
12783,
8836,
6925,
1111,
1842,
118,
1159,
9437,
1105,
10540,
119,
9493,
2217,
10182,
12298,
7995,
1132,
20405,
1165,
1175,
1110,
170,
25864,
7235,
8005,
11799,
9127,
119,
1109,
3510,
7147,
1394,
2790,
11858,
4412,
2200,
2699,
1813,
4313,
19000,
12463,
1606,
6777,
118,
1104,
118,
1250,
113,
18959,
2924,
114,
119,
5096,
10008,
118,
1104,
118,
1250,
1110,
1126,
11708,
11741,
8788,
1965,
1111,
146,
1186,
1942,
1105,
2652,
12783,
1496,
1106,
1103,
23660,
118,
1441,
1204,
1104,
9100,
118,
14255,
16468,
9044,
5197,
119,
1188,
2526,
8218,
170,
2281,
7235,
3792,
14410,
9932,
1270,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
9626,
11256,
5096,
10008,
118,
1104,
118,
6955,
1105,
8698,
16047,
1891,
1107,
1216,
4035,
5086,
118,
187,
1320,
4385,
1106,
1294,
1103,
3510,
7147,
1394,
4048,
118,
2747,
119,
1188,
2526,
4060,
7136,
24674,
1103,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1449,
1106,
17459,
1157,
14410,
11379,
6328,
1105,
12647,
9538,
5474,
1111,
1103,
146,
1186,
1942,
1105,
2652,
12783,
119,
1109,
10540,
1965,
1110,
3303,
1107,
1241,
14314,
1105,
16330,
118,
1159,
2774,
4774,
1116,
1106,
17459,
2099,
119,
4428,
117,
1103,
1965,
10008,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1105,
1157,
9111,
1114,
3510,
7147,
4729,
1179,
9100,
118,
14255,
16468,
9044,
4901,
2344,
1110,
6352,
119,
3458,
1643,
12736,
6787,
1181,
18959,
1592,
1324,
117,
1229,
1919,
1107,
2609,
2775,
3979,
113,
174,
119,
176,
119,
1423,
118,
2313,
12783,
5197,
1176,
1103,
16890,
20080,
6614,
21902,
114,
1144,
1161,
1523,
7232,
1107,
1103,
1546
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
0,
9,
10,
10,
10,
10,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
4,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
17,
18,
18,
18,
0,
0,
0,
5,
6,
0,
0,
0
] | [
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
0,
9,
10,
10,
10,
10,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
4,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
17,
18,
18,
18,
0,
0,
0,
5,
6,
0,
0,
0
] | [
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"for",
"Sc",
"##ala",
"##ble",
"Block",
"##cha",
"##in",
"in",
"Resource",
"-",
"Con",
"##stra",
"##ined",
"Di",
"##st",
"##ri",
"##buted",
"Systems",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"for",
"Sc",
"##ala",
"##ble",
"Block",
"##cha",
"##in",
"in",
"##R",
"##es",
"##our",
"##ce",
"-",
"Con",
"##stra",
"##ined",
"Di",
"##st",
"##ri",
"##buted",
"Systems",
"Deep",
"##ak",
"Put",
"##hal",
"β",
",",
"Sara",
"##ju",
"P",
".",
"Mohan",
"##ty",
"β ",
",",
"P",
"##riya",
"##dar",
"##si",
"Nan",
"##da",
"β",
",",
"Elias",
"Ko",
"##ug",
"##iano",
"##s",
"β‘",
",",
"and",
"G",
"##aut",
"##am",
"Das",
"Β§",
"β",
"Faculty",
"of",
"Engineering",
"and",
"Information",
"Technologies",
",",
"University",
"of",
"Technology",
"Sydney",
",",
"Australia",
"Em",
"##ail",
":",
"{",
"Deep",
"##ak",
".",
"Put",
"##hal",
",",
"P",
"##riya",
"##dar",
"##si",
".",
"Nan",
"##da",
"}",
"@",
"u",
"##ts",
".",
"ed",
"##u",
".",
"au",
"β ",
"Department",
"of",
"Computer",
"Science",
"and",
"Engineering",
",",
"University",
"of",
"North",
"Texas",
",",
"USA",
"Em",
"##ail",
":",
"{",
"Sara",
"##ju",
".",
"Mohan",
"##ty",
"}",
"@",
"un",
"##t",
".",
"ed",
"##u",
"β‘",
"Department",
"of",
"Engineering",
"Technology",
",",
"University",
"of",
"North",
"Texas",
",",
"USA",
"Em",
"##ail",
":",
"{",
"Elias",
".",
"Ko",
"##ug",
"##iano",
"##s",
"}",
"@",
"un",
"##t",
".",
"ed",
"##u",
"Β§",
"Department",
"of",
"Computer",
"Science",
"and",
"Engineering",
",",
"The",
"University",
"of",
"Texas",
"at",
"Arlington",
",",
"USA",
"Em",
"##ail",
":",
"g",
"##das",
"@",
"u",
"##ta",
".",
"ed",
"##u",
"A",
"##bs",
"##tract",
"β",
"Resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
"such",
"as",
"##the",
"Internet",
"of",
"Things",
"(",
"I",
"##o",
"##T",
")",
",",
"edge",
"computing",
"and",
"fog",
"computing",
"##are",
"deployed",
"for",
"real",
"-",
"time",
"monitoring",
"and",
"evaluation",
".",
"Current",
"##se",
"##cu",
"##rity",
"solutions",
"are",
"problematic",
"when",
"there",
"is",
"a",
"centralized",
"##con",
"##tro",
"##lling",
"entity",
".",
"The",
"block",
"##cha",
"##in",
"provides",
"decent",
"##ral",
"##ized",
"security",
"##ar",
"##chi",
"##tec",
"##tures",
"using",
"proof",
"-",
"of",
"-",
"work",
"(",
"Po",
"##W",
")",
".",
"Pro",
"##of",
"-",
"of",
"-",
"work",
"is",
"an",
"##ex",
"##pen",
"##sive",
"process",
"for",
"I",
"##o",
"##T",
"and",
"edge",
"computing",
"due",
"to",
"the",
"deploy",
"-",
"men",
"##t",
"of",
"resource",
"-",
"con",
"##stra",
"##ined",
"devices",
".",
"This",
"paper",
"presents",
"a",
"novel",
"##con",
"##sen",
"##sus",
"algorithm",
"called",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"tore",
"##place",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"and",
"introduce",
"authentic",
"##ation",
"in",
"such",
"en",
"##vi",
"-",
"r",
"##on",
"##ments",
"to",
"make",
"the",
"block",
"##cha",
"##in",
"application",
"-",
"specific",
".",
"This",
"paper",
"##im",
"##ple",
"##mented",
"the",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"system",
"to",
"evaluate",
"its",
"##sus",
"##tain",
"##ability",
"and",
"app",
"##lica",
"##bility",
"for",
"the",
"I",
"##o",
"##T",
"and",
"edge",
"computing",
".",
"The",
"evaluation",
"process",
"is",
"conducted",
"in",
"both",
"simulation",
"and",
"##real",
"-",
"time",
"test",
"##bed",
"##s",
"to",
"evaluate",
"performance",
".",
"Finally",
",",
"the",
"process",
"##of",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"and",
"its",
"integration",
"with",
"block",
"##cha",
"##ini",
"##n",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
"is",
"discussed",
".",
"Our",
"##p",
"##rop",
"##ose",
"##d",
"Po",
"##A",
"##h",
",",
"while",
"running",
"in",
"limited",
"computer",
"resources",
"(",
"e",
".",
"g",
".",
"single",
"-",
"board",
"computing",
"devices",
"like",
"the",
"Ra",
"##sp",
"##berry",
"Pi",
")",
"has",
"##a",
"late",
"##ncy",
"in",
"the",
"order"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 614 |
Proof-of-Authentication for Scalable Blockchain in Resource-Constrained Distributed Systems
Proof-of-Authentication for Scalable Blockchain inResource-Constrained Distributed Systems
Deepak Puthal β, Saraju P. Mohanty β , Priyadarsi Nanda β, Elias Kougianos β‘, and Gautam Das Β§β Faculty of Engineering and Information Technologies, University of Technology Sydney, Australia
Email: {Deepak.Puthal, Priyadarsi.Nanda} @ uts.edu.auβ Department of Computer Science and Engineering, University of North Texas, USA
E | [
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1111,
20452,
5971,
2165,
8093,
7147,
1394,
1107,
17282,
118,
16752,
16468,
9044,
12120,
2050,
2047,
24595,
6475,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1111,
20452,
5971,
2165,
8093,
7147,
1394,
1107,
2069,
1279,
6334,
2093,
118,
16752,
16468,
9044,
12120,
2050,
2047,
24595,
6475,
7786,
3715,
11913,
7654,
852,
117,
6936,
9380,
153,
119,
20165,
2340,
792,
117,
153,
16383,
7858,
5053,
20689,
1810,
852,
117,
16325,
19892,
9610,
16265,
1116,
793,
117,
1105,
144,
24723,
2312,
10730,
204,
852,
6694,
1104,
3939,
1105,
4219,
14164,
117,
1239,
1104,
3529,
3122,
117,
1754,
18653,
11922,
131,
196,
7786,
3715,
119,
11913,
7654,
117,
153,
16383,
7858,
5053,
119,
20689,
1810,
198,
137,
190,
2145,
119,
5048,
1358,
119,
12686,
792,
1951,
1104,
6701,
2444,
1105,
3939,
117,
1239,
1104,
1456,
2245,
117,
3066,
18653,
11922,
131,
196,
6936,
9380,
119,
20165,
2340,
198,
137,
8362,
1204,
119,
5048,
1358,
793,
1951,
1104,
3939,
3529,
117,
1239,
1104,
1456,
2245,
117,
3066,
18653,
11922,
131,
196,
16325,
119,
19892,
9610,
16265,
1116,
198,
137,
8362,
1204,
119,
5048,
1358,
204,
1951,
1104,
6701,
2444,
1105,
3939,
117,
1109,
1239,
1104,
2245,
1120,
14415,
117,
3066,
18653,
11922,
131,
176,
9028,
137,
190,
1777,
119,
5048,
1358,
138,
4832,
15017,
783,
17282,
118,
14255,
16468,
9044,
4901,
2344,
1216,
1112,
10681,
4639,
1104,
7149,
113,
146,
1186,
1942,
114,
117,
2652,
12783,
1105,
10335,
12783,
8836,
6925,
1111,
1842,
118,
1159,
9437,
1105,
10540,
119,
9493,
2217,
10182,
12298,
7995,
1132,
20405,
1165,
1175,
1110,
170,
25864,
7235,
8005,
11799,
9127,
119,
1109,
3510,
7147,
1394,
2790,
11858,
4412,
2200,
2699,
1813,
4313,
19000,
12463,
1606,
6777,
118,
1104,
118,
1250,
113,
18959,
2924,
114,
119,
5096,
10008,
118,
1104,
118,
1250,
1110,
1126,
11708,
11741,
8788,
1965,
1111,
146,
1186,
1942,
1105,
2652,
12783,
1496,
1106,
1103,
23660,
118,
1441,
1204,
1104,
9100,
118,
14255,
16468,
9044,
5197,
119,
1188,
2526,
8218,
170,
2281,
7235,
3792,
14410,
9932,
1270,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
9626,
11256,
5096,
10008,
118,
1104,
118,
6955,
1105,
8698,
16047,
1891,
1107,
1216,
4035,
5086,
118,
187,
1320,
4385,
1106,
1294,
1103,
3510,
7147,
1394,
4048,
118,
2747,
119,
1188,
2526,
4060,
7136,
24674,
1103,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1449,
1106,
17459,
1157,
14410,
11379,
6328,
1105,
12647,
9538,
5474,
1111,
1103,
146,
1186,
1942,
1105,
2652,
12783,
119,
1109,
10540,
1965,
1110,
3303,
1107,
1241,
14314,
1105,
16330,
118,
1159,
2774,
4774,
1116,
1106,
17459,
2099,
119,
4428,
117,
1103,
1965,
10008,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1105,
1157,
9111,
1114,
3510,
7147,
4729,
1179,
9100,
118,
14255,
16468,
9044,
4901,
2344,
1110,
6352,
119,
3458,
1643,
12736,
6787,
1181,
18959,
1592,
1324,
117,
1229,
1919,
1107,
2609,
2775,
3979,
113,
174,
119,
176,
119,
1423,
118,
2313,
12783,
5197,
1176,
1103,
16890,
20080,
6614,
21902,
114,
1144,
1161,
1523,
7232,
1107,
1103,
1546
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"for",
"Sc",
"##ala",
"##ble",
"Block",
"##cha",
"##in",
"in",
"Resource",
"-",
"Con",
"##stra",
"##ined",
"Di",
"##st",
"##ri",
"##buted",
"Systems",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"for",
"Sc",
"##ala",
"##ble",
"Block",
"##cha",
"##in",
"in",
"##R",
"##es",
"##our",
"##ce",
"-",
"Con",
"##stra",
"##ined",
"Di",
"##st",
"##ri",
"##buted",
"Systems",
"Deep",
"##ak",
"Put",
"##hal",
"β",
",",
"Sara",
"##ju",
"P",
".",
"Mohan",
"##ty",
"β ",
",",
"P",
"##riya",
"##dar",
"##si",
"Nan",
"##da",
"β",
",",
"Elias",
"Ko",
"##ug",
"##iano",
"##s",
"β‘",
",",
"and",
"G",
"##aut",
"##am",
"Das",
"Β§",
"β",
"Faculty",
"of",
"Engineering",
"and",
"Information",
"Technologies",
",",
"University",
"of",
"Technology",
"Sydney",
",",
"Australia",
"Em",
"##ail",
":",
"{",
"Deep",
"##ak",
".",
"Put",
"##hal",
",",
"P",
"##riya",
"##dar",
"##si",
".",
"Nan",
"##da",
"}",
"@",
"u",
"##ts",
".",
"ed",
"##u",
".",
"au",
"β ",
"Department",
"of",
"Computer",
"Science",
"and",
"Engineering",
",",
"University",
"of",
"North",
"Texas",
",",
"USA",
"Em",
"##ail",
":",
"{",
"Sara",
"##ju",
".",
"Mohan",
"##ty",
"}",
"@",
"un",
"##t",
".",
"ed",
"##u",
"β‘",
"Department",
"of",
"Engineering",
"Technology",
",",
"University",
"of",
"North",
"Texas",
",",
"USA",
"Em",
"##ail",
":",
"{",
"Elias",
".",
"Ko",
"##ug",
"##iano",
"##s",
"}",
"@",
"un",
"##t",
".",
"ed",
"##u",
"Β§",
"Department",
"of",
"Computer",
"Science",
"and",
"Engineering",
",",
"The",
"University",
"of",
"Texas",
"at",
"Arlington",
",",
"USA",
"Em",
"##ail",
":",
"g",
"##das",
"@",
"u",
"##ta",
".",
"ed",
"##u",
"A",
"##bs",
"##tract",
"β",
"Resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
"such",
"as",
"##the",
"Internet",
"of",
"Things",
"(",
"I",
"##o",
"##T",
")",
",",
"edge",
"computing",
"and",
"fog",
"computing",
"##are",
"deployed",
"for",
"real",
"-",
"time",
"monitoring",
"and",
"evaluation",
".",
"Current",
"##se",
"##cu",
"##rity",
"solutions",
"are",
"problematic",
"when",
"there",
"is",
"a",
"centralized",
"##con",
"##tro",
"##lling",
"entity",
".",
"The",
"block",
"##cha",
"##in",
"provides",
"decent",
"##ral",
"##ized",
"security",
"##ar",
"##chi",
"##tec",
"##tures",
"using",
"proof",
"-",
"of",
"-",
"work",
"(",
"Po",
"##W",
")",
".",
"Pro",
"##of",
"-",
"of",
"-",
"work",
"is",
"an",
"##ex",
"##pen",
"##sive",
"process",
"for",
"I",
"##o",
"##T",
"and",
"edge",
"computing",
"due",
"to",
"the",
"deploy",
"-",
"men",
"##t",
"of",
"resource",
"-",
"con",
"##stra",
"##ined",
"devices",
".",
"This",
"paper",
"presents",
"a",
"novel",
"##con",
"##sen",
"##sus",
"algorithm",
"called",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"tore",
"##place",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"and",
"introduce",
"authentic",
"##ation",
"in",
"such",
"en",
"##vi",
"-",
"r",
"##on",
"##ments",
"to",
"make",
"the",
"block",
"##cha",
"##in",
"application",
"-",
"specific",
".",
"This",
"paper",
"##im",
"##ple",
"##mented",
"the",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"system",
"to",
"evaluate",
"its",
"##sus",
"##tain",
"##ability",
"and",
"app",
"##lica",
"##bility",
"for",
"the",
"I",
"##o",
"##T",
"and",
"edge",
"computing",
".",
"The",
"evaluation",
"process",
"is",
"conducted",
"in",
"both",
"simulation",
"and",
"##real",
"-",
"time",
"test",
"##bed",
"##s",
"to",
"evaluate",
"performance",
".",
"Finally",
",",
"the",
"process",
"##of",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"and",
"its",
"integration",
"with",
"block",
"##cha",
"##ini",
"##n",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
"is",
"discussed",
".",
"Our",
"##p",
"##rop",
"##ose",
"##d",
"Po",
"##A",
"##h",
",",
"while",
"running",
"in",
"limited",
"computer",
"resources",
"(",
"e",
".",
"g",
".",
"single",
"-",
"board",
"computing",
"devices",
"like",
"the",
"Ra",
"##sp",
"##berry",
"Pi",
")",
"has",
"##a",
"late",
"##ncy",
"in",
"the",
"order"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 615 |
mail: {Saraju.Mohanty} @ unt.eduβ‘ Department of Engineering Technology, University of North Texas, USA
Email: {Elias.Kougianos} @ unt.edu§ Department of Computer Science and Engineering, The University of Texas at Arlington, USA
Email: gdas @ uta.edu
Abstract β Resource -constrained distributed systems such asthe Internet of Things (IoT), edge computing and fog computingare deployed for real-time monitoring and evaluation. Currentsecurity solutions are problematic when there is a centralizedcontrolling en | [
1104,
124,
14516,
6063,
119,
10146,
12008,
19995,
783,
8093,
7147,
1394,
117,
16752,
3792,
14410,
2586,
18791,
7088,
1306,
117,
5096,
10008,
118,
1104,
118,
6955,
117,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
117,
4639,
1104,
7149,
113,
146,
1186,
1942,
114,
117,
11336,
118,
2674,
14255,
16468,
9044,
4901,
2344,
146,
119,
15969,
23313,
15609,
21986,
21669,
11414,
1109,
4639,
1104,
7149,
113,
146,
1186,
1942,
114,
1110,
170,
2436,
1104,
107,
7149,
107,
1115,
1169,
10621,
1105,
2934,
1869,
1206,
1472,
4683,
1106,
5515,
2218,
2513,
119,
1109,
146,
1186,
1942,
3226,
1472,
6678,
2635,
1190,
1103,
157,
13113,
120,
14274,
10926,
117,
1187,
1614,
2812,
1126,
22855,
3973,
17580,
1106,
1561,
3626,
5197,
1219,
2233,
2436,
164,
122,
166,
119,
1109,
146,
1186,
1942,
5049,
1120,
1103,
2211,
20097,
1104,
2233,
2436,
1105,
6165,
1112,
2602,
1107,
15982,
122,
119,
1109,
146,
1186,
1942,
14215,
1103,
16986,
6440,
1105,
2243,
7109,
1111,
7856,
2233,
2436,
1105,
6580,
117,
1229,
2233,
1110,
1145,
12086,
1106,
170,
2299,
6440,
113,
10403,
22002,
1200,
114,
1111,
1485,
1842,
118,
1159,
2233,
6165,
164,
123,
166,
119,
1109,
2652,
6440,
2075,
170,
1415,
1295,
1104,
2652,
2233,
8298,
1468,
113,
142,
15556,
114,
1105,
142,
15556,
1116,
1132,
4901,
1107,
2731,
1443,
2129,
12864,
15672,
119,
1188,
2652,
11180,
2228,
1103,
146,
1186,
1942,
11180,
10940,
1118,
6165,
5241,
2233,
1107,
1103,
2652,
6440,
164,
124,
166,
119,
146,
1186,
1942,
10403,
11804,
7154,
18821,
1158,
15982,
122,
119,
18447,
118,
6440,
4220,
1104,
9100,
118,
14255,
16468,
9044,
4901,
2344,
119,
1109,
4612,
1104,
146,
1186,
1942,
1105,
142,
15556,
1116,
2769,
170,
4901,
4035,
5086,
118,
187,
1320,
1880,
1114,
9100,
118,
14255,
16468,
9044,
5197,
119,
4354,
3316,
170,
2501,
8875,
1111,
1292,
2862,
3607,
10152,
119,
3728,
2699,
7995,
5336,
5354,
6451,
9543,
4056,
1111,
146,
1186,
1942,
1105,
1861,
4683,
164,
125,
166,
164,
126,
166,
119,
15586,
6451,
9597,
7995,
1132,
14548,
3233,
1154,
1160,
3322,
131,
1112,
17162,
13689,
5354,
6451,
9543,
1105,
21852,
5354,
6451,
9543,
119,
156,
17162,
13689,
5354,
6451,
9543,
1110,
170,
1643,
118,
5250,
8745,
7213,
1193,
6087,
1551,
4946,
1190,
1112,
17162,
13689,
5354,
6451,
9543,
117,
1105,
3335,
21852,
5354,
6451,
9543,
1110,
3409,
3134,
1111,
146,
1186,
1942,
6557,
164,
127,
166,
119,
1109,
146,
1186,
1942,
1110,
170,
1415,
1226,
1104,
9100,
118,
14255,
16468,
9044,
4901,
2344,
117,
1177,
1122,
1145,
11258,
1116,
21852,
5354,
6451,
28114,
13894,
1306,
1111,
26463,
1105,
1260,
1665,
1616,
18225,
119,
1130,
1719,
1692,
117,
1175,
1110,
1579,
170,
2129,
9127,
1106,
3288,
3708,
1137,
1965,
1292,
2699,
10748,
117,
178,
119,
174,
119,
170,
7443,
19806,
1945,
113,
148,
15556,
114,
1111,
21852,
5354,
6451,
9543,
1105,
170,
14972,
5987,
113,
8784,
114,
1111,
1112,
17162,
13689,
5354,
6451,
9543,
119,
1249,
170,
1871,
117,
170,
1423,
118,
1553,
4290,
1336,
1730,
1106,
170,
13018,
1104,
1103,
2006,
1449,
119,
1247,
1110,
2393,
118,
3242,
4555,
1104,
11858,
4412,
2200,
2699,
7995,
1111
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
5,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
21,
22,
22,
22,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
15,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
5,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
21,
22,
22,
22,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
15,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0
] | [
"of",
"3",
"se",
"##cs",
".",
"Index",
"Te",
"##rms",
"β",
"Block",
"##cha",
"##in",
",",
"Con",
"##sen",
"##sus",
"Al",
"##gor",
"##ith",
"##m",
",",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
",",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
",",
"Internet",
"of",
"Things",
"(",
"I",
"##o",
"##T",
")",
",",
"Re",
"-",
"source",
"con",
"##stra",
"##ined",
"distributed",
"systems",
"I",
".",
"IN",
"##TR",
"##OD",
"##UC",
"##TI",
"##ON",
"The",
"Internet",
"of",
"Things",
"(",
"I",
"##o",
"##T",
")",
"is",
"a",
"collection",
"of",
"\"",
"Things",
"\"",
"that",
"can",
"communicate",
"and",
"share",
"information",
"between",
"different",
"applications",
"to",
"achieve",
"certain",
"goals",
".",
"The",
"I",
"##o",
"##T",
"follows",
"different",
"communications",
"management",
"than",
"the",
"T",
"##CP",
"/",
"IP",
"stack",
",",
"where",
"things",
"follow",
"an",
"Identity",
"Management",
"Protocol",
"to",
"become",
"identified",
"devices",
"during",
"data",
"collection",
"[",
"1",
"]",
".",
"The",
"I",
"##o",
"##T",
"operates",
"at",
"the",
"lower",
"lever",
"of",
"data",
"collection",
"and",
"processing",
"as",
"shown",
"in",
"Figure",
"1",
".",
"The",
"I",
"##o",
"##T",
"combines",
"the",
"sensing",
"layer",
"and",
"middle",
"##ware",
"for",
"efficient",
"data",
"collection",
"and",
"transmission",
",",
"while",
"data",
"is",
"also",
"transmitted",
"to",
"a",
"higher",
"layer",
"(",
"Edge",
"Lay",
"##er",
")",
"for",
"near",
"real",
"-",
"time",
"data",
"processing",
"[",
"2",
"]",
".",
"The",
"edge",
"layer",
"includes",
"a",
"large",
"number",
"of",
"edge",
"data",
"##cent",
"##ers",
"(",
"E",
"##DC",
")",
"and",
"E",
"##DC",
"##s",
"are",
"distributed",
"in",
"nature",
"without",
"central",
"depend",
"##encies",
".",
"This",
"edge",
"deployment",
"makes",
"the",
"I",
"##o",
"##T",
"deployment",
"sustainable",
"by",
"processing",
"emergency",
"data",
"in",
"the",
"edge",
"layer",
"[",
"3",
"]",
".",
"I",
"##o",
"##T",
"Edge",
"Cloud",
"Data",
"Process",
"##ing",
"Figure",
"1",
".",
"Multi",
"-",
"layer",
"architecture",
"of",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
".",
"The",
"combination",
"of",
"I",
"##o",
"##T",
"and",
"E",
"##DC",
"##s",
"forms",
"a",
"distributed",
"en",
"##vi",
"-",
"r",
"##on",
"##ment",
"with",
"resource",
"-",
"con",
"##stra",
"##ined",
"devices",
".",
"Security",
"becomes",
"a",
"key",
"requirement",
"for",
"these",
"mission",
"critical",
"environments",
".",
"Several",
"security",
"solutions",
"involving",
"cry",
"##pt",
"##ography",
"exist",
"for",
"I",
"##o",
"##T",
"and",
"similar",
"applications",
"[",
"4",
"]",
"[",
"5",
"]",
".",
"Cry",
"##pt",
"##ographic",
"solutions",
"are",
"broadly",
"divided",
"into",
"two",
"types",
":",
"as",
"##ym",
"##metric",
"cry",
"##pt",
"##ography",
"and",
"symmetric",
"cry",
"##pt",
"##ography",
".",
"S",
"##ym",
"##metric",
"cry",
"##pt",
"##ography",
"is",
"a",
"##p",
"-",
"pro",
"##xi",
"##mate",
"##ly",
"1000",
"times",
"faster",
"than",
"as",
"##ym",
"##metric",
"cry",
"##pt",
"##ography",
",",
"and",
"therefore",
"symmetric",
"cry",
"##pt",
"##ography",
"is",
"widely",
"accepted",
"for",
"I",
"##o",
"##T",
"infrastructure",
"[",
"6",
"]",
".",
"The",
"I",
"##o",
"##T",
"is",
"a",
"large",
"part",
"of",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
",",
"so",
"it",
"also",
"adopt",
"##s",
"symmetric",
"cry",
"##pt",
"##osy",
"##ste",
"##m",
"for",
"encryption",
"and",
"de",
"##c",
"##ry",
"##ption",
".",
"In",
"either",
"case",
",",
"there",
"is",
"always",
"a",
"central",
"entity",
"to",
"initial",
"##ize",
"or",
"process",
"these",
"security",
"mechanisms",
",",
"i",
".",
"e",
".",
"a",
"Key",
"Distribution",
"Center",
"(",
"K",
"##DC",
")",
"for",
"symmetric",
"cry",
"##pt",
"##ography",
"and",
"a",
"Certificate",
"Authority",
"(",
"CA",
")",
"for",
"as",
"##ym",
"##metric",
"cry",
"##pt",
"##ography",
".",
"As",
"a",
"result",
",",
"a",
"single",
"-",
"point",
"failure",
"may",
"lead",
"to",
"a",
"compromise",
"of",
"the",
"whole",
"system",
".",
"There",
"is",
"al",
"-",
"ways",
"demand",
"of",
"decent",
"##ral",
"##ized",
"security",
"solutions",
"for"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 616 |
tity. The blockchain provides decentralized securityarchitectures using proof-of-work (PoW). Proof-of-work is anexpensive process for IoT and edge computing due to the deploy-ment of resource-constrained devices. This paper presents a novelconsensus algorithm called Proof-of-Authentication (PoAh) toreplace Proof-of-Work and introduce authentication in such envi-ronments to make the blockchain application-specific. This paperimplemented the Proof-of-Authentication system to evaluate itssustainability and a | [
4901,
2344,
117,
1105,
1103,
3510,
7147,
1394,
1110,
16269,
170,
3409,
3134,
11858,
4412,
2200,
2699,
5072,
119,
1130,
170,
1849,
1107,
25059,
117,
1103,
3510,
7147,
1394,
4267,
20080,
6787,
1116,
1104,
1103,
8875,
1111,
1251,
2129,
9127,
1206,
1672,
4713,
26789,
2233,
1105,
2798,
25436,
1118,
19105,
1126,
13280,
13601,
8637,
117,
3014,
1105,
11858,
4412,
2200,
1470,
21340,
1197,
119,
1188,
11030,
118,
181,
1596,
21340,
1197,
1110,
4901,
1107,
2731,
117,
1187,
2510,
2443,
6635,
4731,
1142,
8539,
1106,
1712,
1854,
1104,
2443,
14409,
119,
138,
1558,
2486,
1114,
1103,
1560,
3510,
7147,
1394,
1110,
1103,
2616,
1104,
6777,
118,
1104,
118,
1250,
113,
18959,
2924,
114,
119,
18959,
2924,
2834,
1129,
2626,
7042,
1154,
9100,
118,
14255,
16468,
9044,
4901,
2344,
1105,
1142,
2526,
18381,
170,
1207,
10923,
9932,
1417,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
1106,
1294,
1103,
3510,
7147,
1394,
6736,
1111,
9100,
118,
14255,
16468,
9044,
4901,
2344,
119,
1109,
2281,
5353,
1104,
1103,
1954,
2526,
1115,
4657,
27467,
7147,
1394,
2815,
1132,
131,
794,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
1110,
3000,
1112,
170,
1207,
7235,
3792,
14410,
9932,
1111,
14939,
3510,
7147,
1394,
119,
794,
1109,
1207,
10923,
9932,
1110,
9221,
2913,
1111,
9100,
118,
14255,
16468,
9044,
4901,
2344,
119,
794,
4428,
117,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1110,
17428,
1107,
1241,
27466,
1306,
118,
23449,
1891,
1105,
2774,
4774,
10152,
119,
1109,
1832,
1104,
1103,
2526,
1110,
3366,
1107,
1103,
1378,
4758,
119,
6177,
1563,
8218,
3582,
1105,
15710,
1104,
1142,
1250,
119,
1109,
3000,
2281,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
9932,
1110,
6352,
1107,
6177,
2684,
119,
17635,
2686,
1132,
2756,
1107,
6177,
4191,
119,
16752,
1665,
17855,
1116,
1105,
2174,
7768,
1132,
7584,
1918,
118,
187,
2200,
1107,
6177,
159,
119,
1563,
119,
11629,
21678,
13371,
11607,
12426,
17444,
1708,
16716,
11629,
2346,
13360,
15577,
150,
14697,
2240,
12152,
21669,
11414,
1130,
1369,
117,
1103,
5417,
1104,
1103,
3510,
7147,
1394,
1108,
1148,
2756,
1118,
170,
11325,
1150,
7042,
1103,
3682,
3539,
5354,
1643,
118,
1106,
10182,
11604,
7232,
1227,
1112,
2113,
2528,
1394,
117,
1187,
1103,
3510,
7147,
1394,
1110,
1126,
13936,
3792,
118,
189,
2916,
2727,
1104,
1157,
8297,
164,
128,
166,
119,
9311,
5354,
6451,
13335,
2149,
5123,
9805,
1114,
5910,
2652,
11823,
1138,
1691,
1290,
1173,
119,
1370,
1859,
117,
142,
8420,
14136,
1134,
8218,
2745,
8216,
164,
123,
166,
119,
1109,
11858,
4412,
2200,
21340,
1197,
1110,
1103,
2501,
11279,
1104,
1103,
3510,
7147,
1394,
117,
1187,
4713,
1169,
2458,
1103,
14409,
2272,
1106,
1172,
20166,
1152,
1328,
117,
1649,
1517,
4092,
1105,
1896,
1106,
1103,
3510,
7147,
1394,
117,
1103,
14409,
1169,
4534,
1129,
27248,
4040,
10491,
117,
1134,
2228,
1103,
3510,
7147,
1394,
178,
11604,
24582,
1105,
1849,
2008,
119,
4081,
13618,
1110,
6488,
1118,
1103,
1484,
1118,
4069,
1111,
3073,
118,
6858,
9221,
1891,
1105,
3311,
5349,
1443
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
5,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
15,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0
] | [
5,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
15,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0
] | [
"distributed",
"systems",
",",
"and",
"the",
"block",
"##cha",
"##in",
"is",
"presently",
"a",
"widely",
"accepted",
"decent",
"##ral",
"##ized",
"security",
"solution",
".",
"In",
"a",
"change",
"in",
"outlook",
",",
"the",
"block",
"##cha",
"##in",
"di",
"##sp",
"##ose",
"##s",
"of",
"the",
"requirement",
"for",
"any",
"central",
"entity",
"between",
"various",
"users",
"executing",
"data",
"and",
"financial",
"transmissions",
"by",
"utilizing",
"an",
"im",
"##mu",
"##table",
",",
"simple",
"and",
"decent",
"##ral",
"##ized",
"public",
"ledge",
"##r",
".",
"This",
"pub",
"-",
"l",
"##ic",
"ledge",
"##r",
"is",
"distributed",
"in",
"nature",
",",
"where",
"individual",
"network",
"participants",
"maintain",
"this",
"database",
"to",
"keep",
"track",
"of",
"network",
"transactions",
".",
"A",
"major",
"issue",
"with",
"the",
"original",
"block",
"##cha",
"##in",
"is",
"the",
"cost",
"of",
"proof",
"-",
"of",
"-",
"work",
"(",
"Po",
"##W",
")",
".",
"Po",
"##W",
"cannot",
"be",
"directly",
"implemented",
"into",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
"and",
"this",
"paper",
"proposes",
"a",
"new",
"consensus",
"algorithm",
"named",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"to",
"make",
"the",
"block",
"##cha",
"##in",
"suitable",
"for",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
".",
"The",
"novel",
"contributions",
"of",
"the",
"current",
"paper",
"that",
"advance",
"##block",
"##cha",
"##in",
"technology",
"are",
":",
"β’",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"is",
"proposed",
"as",
"a",
"new",
"##con",
"##sen",
"##sus",
"algorithm",
"for",
"lightweight",
"block",
"##cha",
"##in",
".",
"β’",
"The",
"new",
"consensus",
"algorithm",
"is",
"valid",
"##ated",
"for",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
".",
"β’",
"Finally",
",",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"is",
"evaluated",
"in",
"both",
"si",
"##m",
"-",
"ul",
"##ation",
"and",
"test",
"##bed",
"environments",
".",
"The",
"rest",
"of",
"the",
"paper",
"is",
"organized",
"in",
"the",
"following",
"manner",
".",
"Section",
"II",
"presents",
"background",
"and",
"motivation",
"of",
"this",
"work",
".",
"The",
"proposed",
"novel",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"algorithm",
"is",
"discussed",
"in",
"Section",
"III",
".",
"Experimental",
"results",
"are",
"presented",
"in",
"Section",
"IV",
".",
"Con",
"##c",
"##lusion",
"##s",
"and",
"future",
"directions",
"are",
"sum",
"##ma",
"-",
"r",
"##ized",
"in",
"Section",
"V",
".",
"II",
".",
"PR",
"##EL",
"##IM",
"##IN",
"##AR",
"##IE",
"##S",
"AND",
"PR",
"##O",
"##BL",
"##EM",
"M",
"##OT",
"##I",
"##VA",
"##TI",
"##ON",
"In",
"2008",
",",
"the",
"possibility",
"of",
"the",
"block",
"##cha",
"##in",
"was",
"first",
"presented",
"by",
"a",
"researcher",
"who",
"implemented",
"the",
"advanced",
"digital",
"cry",
"##p",
"-",
"to",
"##cu",
"##rre",
"##ncy",
"known",
"as",
"bit",
"##co",
"##in",
",",
"where",
"the",
"block",
"##cha",
"##in",
"is",
"an",
"es",
"##sen",
"-",
"t",
"##ial",
"piece",
"of",
"its",
"framework",
"[",
"7",
"]",
".",
"Various",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cies",
"with",
"cutting",
"edge",
"advances",
"have",
"appeared",
"since",
"then",
".",
"For",
"example",
",",
"E",
"##ther",
"##eum",
"which",
"presents",
"uses",
"contracts",
"[",
"2",
"]",
".",
"The",
"decent",
"##ral",
"##ized",
"ledge",
"##r",
"is",
"the",
"key",
"innovation",
"of",
"the",
"block",
"##cha",
"##in",
",",
"where",
"users",
"can",
"view",
"the",
"transactions",
"related",
"to",
"them",
"anytime",
"they",
"want",
",",
"however",
"once",
"approved",
"and",
"added",
"to",
"the",
"block",
"##cha",
"##in",
",",
"the",
"transactions",
"can",
"neither",
"be",
"erased",
"nor",
"adjusted",
",",
"which",
"makes",
"the",
"block",
"##cha",
"##in",
"i",
"##rre",
"##versible",
"and",
"change",
"##less",
".",
"Every",
"transaction",
"is",
"checked",
"by",
"the",
"members",
"by",
"methods",
"for",
"pre",
"-",
"characterized",
"valid",
"##ation",
"and",
"agreement",
"instruments",
"without"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 617 |
tity. The blockchain provides decentralized securityarchitectures using proof-of-work (PoW). Proof-of-work is anexpensive process for IoT and edge computing due to the deploy-ment of resource-constrained devices. This paper presents a novelconsensus algorithm called Proof-of-Authentication (PoAh) toreplace Proof-of-Work and introduce authentication in such envi-ronments to make the blockchain application-specific. This paperimplemented the Proof-of-Authentication system to evaluate itssustainability and a | [
4901,
2344,
117,
1105,
1103,
3510,
7147,
1394,
1110,
16269,
170,
3409,
3134,
11858,
4412,
2200,
2699,
5072,
119,
1130,
170,
1849,
1107,
25059,
117,
1103,
3510,
7147,
1394,
4267,
20080,
6787,
1116,
1104,
1103,
8875,
1111,
1251,
2129,
9127,
1206,
1672,
4713,
26789,
2233,
1105,
2798,
25436,
1118,
19105,
1126,
13280,
13601,
8637,
117,
3014,
1105,
11858,
4412,
2200,
1470,
21340,
1197,
119,
1188,
11030,
118,
181,
1596,
21340,
1197,
1110,
4901,
1107,
2731,
117,
1187,
2510,
2443,
6635,
4731,
1142,
8539,
1106,
1712,
1854,
1104,
2443,
14409,
119,
138,
1558,
2486,
1114,
1103,
1560,
3510,
7147,
1394,
1110,
1103,
2616,
1104,
6777,
118,
1104,
118,
1250,
113,
18959,
2924,
114,
119,
18959,
2924,
2834,
1129,
2626,
7042,
1154,
9100,
118,
14255,
16468,
9044,
4901,
2344,
1105,
1142,
2526,
18381,
170,
1207,
10923,
9932,
1417,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
1106,
1294,
1103,
3510,
7147,
1394,
6736,
1111,
9100,
118,
14255,
16468,
9044,
4901,
2344,
119,
1109,
2281,
5353,
1104,
1103,
1954,
2526,
1115,
4657,
27467,
7147,
1394,
2815,
1132,
131,
794,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
1110,
3000,
1112,
170,
1207,
7235,
3792,
14410,
9932,
1111,
14939,
3510,
7147,
1394,
119,
794,
1109,
1207,
10923,
9932,
1110,
9221,
2913,
1111,
9100,
118,
14255,
16468,
9044,
4901,
2344,
119,
794,
4428,
117,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1110,
17428,
1107,
1241,
27466,
1306,
118,
23449,
1891,
1105,
2774,
4774,
10152,
119,
1109,
1832,
1104,
1103,
2526,
1110,
3366,
1107,
1103,
1378,
4758,
119,
6177,
1563,
8218,
3582,
1105,
15710,
1104,
1142,
1250,
119,
1109,
3000,
2281,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
9932,
1110,
6352,
1107,
6177,
2684,
119,
17635,
2686,
1132,
2756,
1107,
6177,
4191,
119,
16752,
1665,
17855,
1116,
1105,
2174,
7768,
1132,
7584,
1918,
118,
187,
2200,
1107,
6177,
159,
119,
1563,
119,
11629,
21678,
13371,
11607,
12426,
17444,
1708,
16716,
11629,
2346,
13360,
15577,
150,
14697,
2240,
12152,
21669,
11414,
1130,
1369,
117,
1103,
5417,
1104,
1103,
3510,
7147,
1394,
1108,
1148,
2756,
1118,
170,
11325,
1150,
7042,
1103,
3682,
3539,
5354,
1643,
118,
1106,
10182,
11604,
7232,
1227,
1112,
2113,
2528,
1394,
117,
1187,
1103,
3510,
7147,
1394,
1110,
1126,
13936,
3792,
118,
189,
2916,
2727,
1104,
1157,
8297,
164,
128,
166,
119,
9311,
5354,
6451,
13335,
2149,
5123,
9805,
1114,
5910,
2652,
11823,
1138,
1691,
1290,
1173,
119,
1370,
1859,
117,
142,
8420,
14136,
1134,
8218,
2745,
8216,
164,
123,
166,
119,
1109,
11858,
4412,
2200,
21340,
1197,
1110,
1103,
2501,
11279,
1104,
1103,
3510,
7147,
1394,
117,
1187,
4713,
1169,
2458,
1103,
14409,
2272,
1106,
1172,
20166,
1152,
1328,
117,
1649,
1517,
4092,
1105,
1896,
1106,
1103,
3510,
7147,
1394,
117,
1103,
14409,
1169,
4534,
1129,
27248,
4040,
10491,
117,
1134,
2228,
1103,
3510,
7147,
1394,
178,
11604,
24582,
1105,
1849,
2008,
119,
4081,
13618,
1110,
6488,
1118,
1103,
1484,
1118,
4069,
1111,
3073,
118,
6858,
9221,
1891,
1105,
3311,
5349,
1443
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"distributed",
"systems",
",",
"and",
"the",
"block",
"##cha",
"##in",
"is",
"presently",
"a",
"widely",
"accepted",
"decent",
"##ral",
"##ized",
"security",
"solution",
".",
"In",
"a",
"change",
"in",
"outlook",
",",
"the",
"block",
"##cha",
"##in",
"di",
"##sp",
"##ose",
"##s",
"of",
"the",
"requirement",
"for",
"any",
"central",
"entity",
"between",
"various",
"users",
"executing",
"data",
"and",
"financial",
"transmissions",
"by",
"utilizing",
"an",
"im",
"##mu",
"##table",
",",
"simple",
"and",
"decent",
"##ral",
"##ized",
"public",
"ledge",
"##r",
".",
"This",
"pub",
"-",
"l",
"##ic",
"ledge",
"##r",
"is",
"distributed",
"in",
"nature",
",",
"where",
"individual",
"network",
"participants",
"maintain",
"this",
"database",
"to",
"keep",
"track",
"of",
"network",
"transactions",
".",
"A",
"major",
"issue",
"with",
"the",
"original",
"block",
"##cha",
"##in",
"is",
"the",
"cost",
"of",
"proof",
"-",
"of",
"-",
"work",
"(",
"Po",
"##W",
")",
".",
"Po",
"##W",
"cannot",
"be",
"directly",
"implemented",
"into",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
"and",
"this",
"paper",
"proposes",
"a",
"new",
"consensus",
"algorithm",
"named",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"to",
"make",
"the",
"block",
"##cha",
"##in",
"suitable",
"for",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
".",
"The",
"novel",
"contributions",
"of",
"the",
"current",
"paper",
"that",
"advance",
"##block",
"##cha",
"##in",
"technology",
"are",
":",
"β’",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"is",
"proposed",
"as",
"a",
"new",
"##con",
"##sen",
"##sus",
"algorithm",
"for",
"lightweight",
"block",
"##cha",
"##in",
".",
"β’",
"The",
"new",
"consensus",
"algorithm",
"is",
"valid",
"##ated",
"for",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
".",
"β’",
"Finally",
",",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"is",
"evaluated",
"in",
"both",
"si",
"##m",
"-",
"ul",
"##ation",
"and",
"test",
"##bed",
"environments",
".",
"The",
"rest",
"of",
"the",
"paper",
"is",
"organized",
"in",
"the",
"following",
"manner",
".",
"Section",
"II",
"presents",
"background",
"and",
"motivation",
"of",
"this",
"work",
".",
"The",
"proposed",
"novel",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"algorithm",
"is",
"discussed",
"in",
"Section",
"III",
".",
"Experimental",
"results",
"are",
"presented",
"in",
"Section",
"IV",
".",
"Con",
"##c",
"##lusion",
"##s",
"and",
"future",
"directions",
"are",
"sum",
"##ma",
"-",
"r",
"##ized",
"in",
"Section",
"V",
".",
"II",
".",
"PR",
"##EL",
"##IM",
"##IN",
"##AR",
"##IE",
"##S",
"AND",
"PR",
"##O",
"##BL",
"##EM",
"M",
"##OT",
"##I",
"##VA",
"##TI",
"##ON",
"In",
"2008",
",",
"the",
"possibility",
"of",
"the",
"block",
"##cha",
"##in",
"was",
"first",
"presented",
"by",
"a",
"researcher",
"who",
"implemented",
"the",
"advanced",
"digital",
"cry",
"##p",
"-",
"to",
"##cu",
"##rre",
"##ncy",
"known",
"as",
"bit",
"##co",
"##in",
",",
"where",
"the",
"block",
"##cha",
"##in",
"is",
"an",
"es",
"##sen",
"-",
"t",
"##ial",
"piece",
"of",
"its",
"framework",
"[",
"7",
"]",
".",
"Various",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cies",
"with",
"cutting",
"edge",
"advances",
"have",
"appeared",
"since",
"then",
".",
"For",
"example",
",",
"E",
"##ther",
"##eum",
"which",
"presents",
"uses",
"contracts",
"[",
"2",
"]",
".",
"The",
"decent",
"##ral",
"##ized",
"ledge",
"##r",
"is",
"the",
"key",
"innovation",
"of",
"the",
"block",
"##cha",
"##in",
",",
"where",
"users",
"can",
"view",
"the",
"transactions",
"related",
"to",
"them",
"anytime",
"they",
"want",
",",
"however",
"once",
"approved",
"and",
"added",
"to",
"the",
"block",
"##cha",
"##in",
",",
"the",
"transactions",
"can",
"neither",
"be",
"erased",
"nor",
"adjusted",
",",
"which",
"makes",
"the",
"block",
"##cha",
"##in",
"i",
"##rre",
"##versible",
"and",
"change",
"##less",
".",
"Every",
"transaction",
"is",
"checked",
"by",
"the",
"members",
"by",
"methods",
"for",
"pre",
"-",
"characterized",
"valid",
"##ation",
"and",
"agreement",
"instruments",
"without"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 618 |
pplicability for the IoT and edge computing.The evaluation process is conducted in both simulation andreal-time testbeds to evaluate performance. Finally, the processof Proof-of-Authentication and its integration with blockchainin resource-constrained distributed systems is discussed. Ourproposed PoAh, while running in limited computer resources(e.g. single-board computing devices like the Raspberry Pi) hasa latency in the order of 3 secs.
Index Terms β Blockchain, Consensus Algorithm, Proof-of-Work, Proo | [
15468,
1137,
9221,
1891,
1118,
1251,
2129,
9127,
119,
1188,
4851,
1103,
11013,
1112,
1218,
1112,
4267,
20080,
6787,
1116,
1104,
2233,
8065,
1272,
1104,
170,
1423,
1553,
4290,
117,
1290,
21340,
1197,
3840,
21379,
1116,
1132,
188,
27250,
8167,
25331,
1166,
1155,
1103,
2443,
6635,
164,
129,
166,
119,
1109,
1484,
1104,
4901,
6379,
1169,
1129,
1251,
2076,
1104,
4795,
117,
5375,
1137,
2369,
6303,
170,
3840,
21379,
1104,
1103,
21340,
1197,
4051,
1147,
11582,
14409,
1107,
170,
11598,
4954,
119,
1109,
21340,
1197,
1110,
11561,
1104,
170,
4954,
1104,
5511,
1112,
2602,
1107,
15982,
123,
117,
3387,
1487,
1118,
1147,
1144,
16090,
1107,
14516,
21967,
1546,
1106,
4731,
2233,
12363,
1105,
21169,
3954,
119,
2994,
3510,
2923,
1104,
170,
1383,
1104,
14409,
20328,
1878,
1118,
1103,
25543,
1105,
22480,
1118,
1103,
1832,
1104,
1103,
6635,
1196,
1217,
1896,
1106,
1103,
3510,
119,
1247,
1132,
1317,
10923,
14975,
1111,
1103,
3510,
7147,
1394,
1216,
1112,
6777,
118,
1104,
118,
1250,
117,
6777,
118,
1104,
118,
8219,
117,
6777,
118,
1104,
118,
3246,
117,
1105,
10736,
1324,
168,
11689,
1964,
157,
1197,
1775,
118,
122,
157,
1197,
1775,
118,
183,
1942,
1197,
1775,
118,
123,
795,
10736,
1324,
168,
11689,
1964,
157,
1197,
1775,
118,
122,
157,
1197,
1775,
118,
185,
1942,
1197,
1775,
118,
123,
795,
1122,
1324,
8093,
113,
178,
116,
122,
114,
24438,
8093,
18959,
1592,
1324,
18959,
1592,
1324,
15982,
123,
119,
8093,
6165,
1114,
14409,
1105,
1144,
8840,
119,
6777,
118,
1104,
118,
25319,
119,
1188,
2526,
18381,
170,
1207,
9932,
1417,
5096,
10008,
1104,
27758,
10681,
14964,
14520,
164,
130,
166,
119,
138,
5393,
1104,
1672,
10923,
14975,
1110,
2602,
1107,
15982,
124,
119,
8093,
7147,
1394,
1658,
4199,
5026,
1361,
2586,
18791,
7088,
1306,
12226,
6859,
2116,
1104,
5511,
27758,
10681,
14964,
14520,
1104,
5511,
5096,
10008,
1104,
2173,
6366,
5096,
10008,
1104,
11336,
23403,
3923,
5096,
10008,
1104,
1457,
8741,
5096,
10008,
1104,
160,
5926,
5096,
10008,
1104,
27758,
10681,
14964,
14520,
15982,
124,
119,
13429,
19608,
1104,
3510,
7147,
1394,
10923,
14975,
119,
2684,
119,
7462,
11629,
17195,
9025,
10069,
11629,
2346,
2346,
2271,
11345,
21646,
24162,
11680,
21669,
11356,
21669,
11414,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1110,
170,
1207,
10923,
9932,
5250,
118,
14114,
1107,
1103,
1954,
2526,
1106,
1294,
3510,
7147,
1394,
14939,
1105,
12173,
1111,
9100,
118,
14255,
16468,
9044,
5197,
119,
1188,
9932,
3226,
2361,
6678,
117,
1187,
1175,
1132,
1178,
15549,
1219,
3510,
9221,
1891,
119,
1335,
1103,
1838,
1104,
1103,
1965,
117,
2510,
3073,
6617,
18965,
7418,
120,
15029,
1107,
1103,
2443,
9509,
14409,
113,
157,
1197,
1775,
114,
1114,
1103,
2233,
1137,
5669,
1105,
12479,
1172,
1154,
170,
3510,
119,
1109,
14409,
1105,
3510,
3855,
4068,
1132,
1112,
2602,
1107,
15982,
123,
119,
1109,
15029,
3012,
1103,
5511,
1111,
1748,
10540,
119,
12265,
15029,
1132,
2784,
1111,
1470,
1105,
2029,
2501,
3964,
113,
153,
1358,
2428,
1105,
153,
1197,
2428,
114,
119,
1188,
2235,
2745,
1103,
2896,
2349,
7363,
1233,
3442,
1104,
26463,
178,
119,
174,
119,
194,
134,
176
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
5,
6,
0,
0,
15,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
5,
6,
6,
0,
0,
5,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
5,
6,
6,
6,
6,
6,
5,
6,
6,
6,
6,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
5,
6,
0,
0,
15,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
5,
6,
6,
0,
0,
5,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
5,
6,
6,
6,
6,
6,
5,
6,
6,
6,
6,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"confirmation",
"or",
"valid",
"##ation",
"by",
"any",
"central",
"entity",
".",
"This",
"reduce",
"the",
"expense",
"as",
"well",
"as",
"di",
"##sp",
"##ose",
"##s",
"of",
"data",
"corruption",
"because",
"of",
"a",
"single",
"point",
"failure",
",",
"since",
"ledge",
"##r",
"du",
"##plicate",
"##s",
"are",
"s",
"##ync",
"##hr",
"##onized",
"over",
"all",
"the",
"network",
"participants",
"[",
"8",
"]",
".",
"The",
"members",
"of",
"distributed",
"networks",
"can",
"be",
"any",
"type",
"of",
"user",
",",
"institution",
"or",
"organization",
"sharing",
"a",
"du",
"##plicate",
"of",
"the",
"ledge",
"##r",
"containing",
"their",
"legitimate",
"transactions",
"in",
"a",
"successive",
"sequence",
".",
"The",
"ledge",
"##r",
"is",
"comprised",
"of",
"a",
"sequence",
"of",
"blocks",
"as",
"shown",
"in",
"Figure",
"2",
",",
"connected",
"together",
"by",
"their",
"has",
"##hes",
"in",
"se",
"##quential",
"order",
"to",
"maintain",
"data",
"integrity",
"and",
"timeline",
"##ss",
".",
"Each",
"block",
"consists",
"of",
"a",
"set",
"of",
"transactions",
"digitally",
"signed",
"by",
"the",
"proprietor",
"and",
"verified",
"by",
"the",
"rest",
"of",
"the",
"participants",
"before",
"being",
"added",
"to",
"the",
"block",
".",
"There",
"are",
"several",
"consensus",
"algorithms",
"for",
"the",
"block",
"##cha",
"##in",
"such",
"as",
"proof",
"-",
"of",
"-",
"work",
",",
"proof",
"-",
"of",
"-",
"stake",
",",
"proof",
"-",
"of",
"-",
"activity",
",",
"and",
"Has",
"##h",
"_",
"Pre",
"##v",
"T",
"##r",
"##x",
"-",
"1",
"T",
"##r",
"##x",
"-",
"n",
"##T",
"##r",
"##x",
"-",
"2",
"β¦",
"Has",
"##h",
"_",
"Pre",
"##v",
"T",
"##r",
"##x",
"-",
"1",
"T",
"##r",
"##x",
"-",
"p",
"##T",
"##r",
"##x",
"-",
"2",
"β¦",
"it",
"##h",
"Block",
"(",
"i",
"+",
"1",
")",
"th",
"Block",
"Po",
"##A",
"##h",
"Po",
"##A",
"##h",
"Figure",
"2",
".",
"Block",
"processing",
"with",
"transactions",
"and",
"has",
"##hing",
".",
"proof",
"-",
"of",
"-",
"relevance",
".",
"This",
"paper",
"proposes",
"a",
"new",
"algorithm",
"named",
"Pro",
"##of",
"of",
"Au",
"##the",
"##nti",
"##cation",
"[",
"9",
"]",
".",
"A",
"classification",
"of",
"various",
"consensus",
"algorithms",
"is",
"shown",
"in",
"Figure",
"3",
".",
"Block",
"##cha",
"##in",
"##C",
"##ons",
"##ens",
"##us",
"Al",
"##gor",
"##ith",
"##m",
"Val",
"##ida",
"##tion",
"of",
"blocks",
"Au",
"##the",
"##nti",
"##cation",
"of",
"blocks",
"Pro",
"##of",
"of",
"Act",
"##ivity",
"Pro",
"##of",
"of",
"Re",
"##lev",
"##ance",
"Pro",
"##of",
"of",
"St",
"##ack",
"Pro",
"##of",
"of",
"W",
"##ok",
"Pro",
"##of",
"of",
"Au",
"##the",
"##nti",
"##cation",
"Figure",
"3",
".",
"Tax",
"##onomy",
"of",
"block",
"##cha",
"##in",
"consensus",
"algorithms",
".",
"III",
".",
"THE",
"PR",
"##OP",
"##OS",
"##ED",
"PR",
"##O",
"##O",
"##F",
"OF",
"AU",
"##TH",
"##EN",
"##TI",
"##CA",
"##TI",
"##ON",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"is",
"a",
"new",
"consensus",
"algorithm",
"pro",
"-",
"posed",
"in",
"the",
"current",
"paper",
"to",
"make",
"block",
"##cha",
"##in",
"lightweight",
"and",
"compatible",
"for",
"resource",
"-",
"con",
"##stra",
"##ined",
"devices",
".",
"This",
"algorithm",
"follows",
"traditional",
"communications",
",",
"where",
"there",
"are",
"only",
"updates",
"during",
"block",
"valid",
"##ation",
".",
"At",
"the",
"start",
"of",
"the",
"process",
",",
"individual",
"pre",
"##ci",
"##pit",
"##ants",
"/",
"nodes",
"in",
"the",
"network",
"generate",
"transactions",
"(",
"T",
"##r",
"##x",
")",
"with",
"the",
"data",
"or",
"processes",
"and",
"combine",
"them",
"into",
"a",
"block",
".",
"The",
"transactions",
"and",
"block",
"formation",
"details",
"are",
"as",
"shown",
"in",
"Figure",
"2",
".",
"The",
"nodes",
"broadcast",
"the",
"blocks",
"for",
"further",
"evaluation",
".",
"Individual",
"nodes",
"are",
"responsible",
"for",
"public",
"and",
"private",
"key",
"generation",
"(",
"P",
"##u",
"##K",
"and",
"P",
"##r",
"##K",
")",
".",
"This",
"model",
"uses",
"the",
"El",
"##G",
"##ama",
"##l",
"method",
"of",
"encryption",
"i",
".",
"e",
".",
"y",
"=",
"g"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 619 |
pplicability for the IoT and edge computing.The evaluation process is conducted in both simulation andreal-time testbeds to evaluate performance. Finally, the processof Proof-of-Authentication and its integration with blockchainin resource-constrained distributed systems is discussed. Ourproposed PoAh, while running in limited computer resources(e.g. single-board computing devices like the Raspberry Pi) hasa latency in the order of 3 secs.
Index Terms β Blockchain, Consensus Algorithm, Proof-of-Work, Proo | [
15468,
1137,
9221,
1891,
1118,
1251,
2129,
9127,
119,
1188,
4851,
1103,
11013,
1112,
1218,
1112,
4267,
20080,
6787,
1116,
1104,
2233,
8065,
1272,
1104,
170,
1423,
1553,
4290,
117,
1290,
21340,
1197,
3840,
21379,
1116,
1132,
188,
27250,
8167,
25331,
1166,
1155,
1103,
2443,
6635,
164,
129,
166,
119,
1109,
1484,
1104,
4901,
6379,
1169,
1129,
1251,
2076,
1104,
4795,
117,
5375,
1137,
2369,
6303,
170,
3840,
21379,
1104,
1103,
21340,
1197,
4051,
1147,
11582,
14409,
1107,
170,
11598,
4954,
119,
1109,
21340,
1197,
1110,
11561,
1104,
170,
4954,
1104,
5511,
1112,
2602,
1107,
15982,
123,
117,
3387,
1487,
1118,
1147,
1144,
16090,
1107,
14516,
21967,
1546,
1106,
4731,
2233,
12363,
1105,
21169,
3954,
119,
2994,
3510,
2923,
1104,
170,
1383,
1104,
14409,
20328,
1878,
1118,
1103,
25543,
1105,
22480,
1118,
1103,
1832,
1104,
1103,
6635,
1196,
1217,
1896,
1106,
1103,
3510,
119,
1247,
1132,
1317,
10923,
14975,
1111,
1103,
3510,
7147,
1394,
1216,
1112,
6777,
118,
1104,
118,
1250,
117,
6777,
118,
1104,
118,
8219,
117,
6777,
118,
1104,
118,
3246,
117,
1105,
10736,
1324,
168,
11689,
1964,
157,
1197,
1775,
118,
122,
157,
1197,
1775,
118,
183,
1942,
1197,
1775,
118,
123,
795,
10736,
1324,
168,
11689,
1964,
157,
1197,
1775,
118,
122,
157,
1197,
1775,
118,
185,
1942,
1197,
1775,
118,
123,
795,
1122,
1324,
8093,
113,
178,
116,
122,
114,
24438,
8093,
18959,
1592,
1324,
18959,
1592,
1324,
15982,
123,
119,
8093,
6165,
1114,
14409,
1105,
1144,
8840,
119,
6777,
118,
1104,
118,
25319,
119,
1188,
2526,
18381,
170,
1207,
9932,
1417,
5096,
10008,
1104,
27758,
10681,
14964,
14520,
164,
130,
166,
119,
138,
5393,
1104,
1672,
10923,
14975,
1110,
2602,
1107,
15982,
124,
119,
8093,
7147,
1394,
1658,
4199,
5026,
1361,
2586,
18791,
7088,
1306,
12226,
6859,
2116,
1104,
5511,
27758,
10681,
14964,
14520,
1104,
5511,
5096,
10008,
1104,
2173,
6366,
5096,
10008,
1104,
11336,
23403,
3923,
5096,
10008,
1104,
1457,
8741,
5096,
10008,
1104,
160,
5926,
5096,
10008,
1104,
27758,
10681,
14964,
14520,
15982,
124,
119,
13429,
19608,
1104,
3510,
7147,
1394,
10923,
14975,
119,
2684,
119,
7462,
11629,
17195,
9025,
10069,
11629,
2346,
2346,
2271,
11345,
21646,
24162,
11680,
21669,
11356,
21669,
11414,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1110,
170,
1207,
10923,
9932,
5250,
118,
14114,
1107,
1103,
1954,
2526,
1106,
1294,
3510,
7147,
1394,
14939,
1105,
12173,
1111,
9100,
118,
14255,
16468,
9044,
5197,
119,
1188,
9932,
3226,
2361,
6678,
117,
1187,
1175,
1132,
1178,
15549,
1219,
3510,
9221,
1891,
119,
1335,
1103,
1838,
1104,
1103,
1965,
117,
2510,
3073,
6617,
18965,
7418,
120,
15029,
1107,
1103,
2443,
9509,
14409,
113,
157,
1197,
1775,
114,
1114,
1103,
2233,
1137,
5669,
1105,
12479,
1172,
1154,
170,
3510,
119,
1109,
14409,
1105,
3510,
3855,
4068,
1132,
1112,
2602,
1107,
15982,
123,
119,
1109,
15029,
3012,
1103,
5511,
1111,
1748,
10540,
119,
12265,
15029,
1132,
2784,
1111,
1470,
1105,
2029,
2501,
3964,
113,
153,
1358,
2428,
1105,
153,
1197,
2428,
114,
119,
1188,
2235,
2745,
1103,
2896,
2349,
7363,
1233,
3442,
1104,
26463,
178,
119,
174,
119,
194,
134,
176
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"confirmation",
"or",
"valid",
"##ation",
"by",
"any",
"central",
"entity",
".",
"This",
"reduce",
"the",
"expense",
"as",
"well",
"as",
"di",
"##sp",
"##ose",
"##s",
"of",
"data",
"corruption",
"because",
"of",
"a",
"single",
"point",
"failure",
",",
"since",
"ledge",
"##r",
"du",
"##plicate",
"##s",
"are",
"s",
"##ync",
"##hr",
"##onized",
"over",
"all",
"the",
"network",
"participants",
"[",
"8",
"]",
".",
"The",
"members",
"of",
"distributed",
"networks",
"can",
"be",
"any",
"type",
"of",
"user",
",",
"institution",
"or",
"organization",
"sharing",
"a",
"du",
"##plicate",
"of",
"the",
"ledge",
"##r",
"containing",
"their",
"legitimate",
"transactions",
"in",
"a",
"successive",
"sequence",
".",
"The",
"ledge",
"##r",
"is",
"comprised",
"of",
"a",
"sequence",
"of",
"blocks",
"as",
"shown",
"in",
"Figure",
"2",
",",
"connected",
"together",
"by",
"their",
"has",
"##hes",
"in",
"se",
"##quential",
"order",
"to",
"maintain",
"data",
"integrity",
"and",
"timeline",
"##ss",
".",
"Each",
"block",
"consists",
"of",
"a",
"set",
"of",
"transactions",
"digitally",
"signed",
"by",
"the",
"proprietor",
"and",
"verified",
"by",
"the",
"rest",
"of",
"the",
"participants",
"before",
"being",
"added",
"to",
"the",
"block",
".",
"There",
"are",
"several",
"consensus",
"algorithms",
"for",
"the",
"block",
"##cha",
"##in",
"such",
"as",
"proof",
"-",
"of",
"-",
"work",
",",
"proof",
"-",
"of",
"-",
"stake",
",",
"proof",
"-",
"of",
"-",
"activity",
",",
"and",
"Has",
"##h",
"_",
"Pre",
"##v",
"T",
"##r",
"##x",
"-",
"1",
"T",
"##r",
"##x",
"-",
"n",
"##T",
"##r",
"##x",
"-",
"2",
"β¦",
"Has",
"##h",
"_",
"Pre",
"##v",
"T",
"##r",
"##x",
"-",
"1",
"T",
"##r",
"##x",
"-",
"p",
"##T",
"##r",
"##x",
"-",
"2",
"β¦",
"it",
"##h",
"Block",
"(",
"i",
"+",
"1",
")",
"th",
"Block",
"Po",
"##A",
"##h",
"Po",
"##A",
"##h",
"Figure",
"2",
".",
"Block",
"processing",
"with",
"transactions",
"and",
"has",
"##hing",
".",
"proof",
"-",
"of",
"-",
"relevance",
".",
"This",
"paper",
"proposes",
"a",
"new",
"algorithm",
"named",
"Pro",
"##of",
"of",
"Au",
"##the",
"##nti",
"##cation",
"[",
"9",
"]",
".",
"A",
"classification",
"of",
"various",
"consensus",
"algorithms",
"is",
"shown",
"in",
"Figure",
"3",
".",
"Block",
"##cha",
"##in",
"##C",
"##ons",
"##ens",
"##us",
"Al",
"##gor",
"##ith",
"##m",
"Val",
"##ida",
"##tion",
"of",
"blocks",
"Au",
"##the",
"##nti",
"##cation",
"of",
"blocks",
"Pro",
"##of",
"of",
"Act",
"##ivity",
"Pro",
"##of",
"of",
"Re",
"##lev",
"##ance",
"Pro",
"##of",
"of",
"St",
"##ack",
"Pro",
"##of",
"of",
"W",
"##ok",
"Pro",
"##of",
"of",
"Au",
"##the",
"##nti",
"##cation",
"Figure",
"3",
".",
"Tax",
"##onomy",
"of",
"block",
"##cha",
"##in",
"consensus",
"algorithms",
".",
"III",
".",
"THE",
"PR",
"##OP",
"##OS",
"##ED",
"PR",
"##O",
"##O",
"##F",
"OF",
"AU",
"##TH",
"##EN",
"##TI",
"##CA",
"##TI",
"##ON",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"is",
"a",
"new",
"consensus",
"algorithm",
"pro",
"-",
"posed",
"in",
"the",
"current",
"paper",
"to",
"make",
"block",
"##cha",
"##in",
"lightweight",
"and",
"compatible",
"for",
"resource",
"-",
"con",
"##stra",
"##ined",
"devices",
".",
"This",
"algorithm",
"follows",
"traditional",
"communications",
",",
"where",
"there",
"are",
"only",
"updates",
"during",
"block",
"valid",
"##ation",
".",
"At",
"the",
"start",
"of",
"the",
"process",
",",
"individual",
"pre",
"##ci",
"##pit",
"##ants",
"/",
"nodes",
"in",
"the",
"network",
"generate",
"transactions",
"(",
"T",
"##r",
"##x",
")",
"with",
"the",
"data",
"or",
"processes",
"and",
"combine",
"them",
"into",
"a",
"block",
".",
"The",
"transactions",
"and",
"block",
"formation",
"details",
"are",
"as",
"shown",
"in",
"Figure",
"2",
".",
"The",
"nodes",
"broadcast",
"the",
"blocks",
"for",
"further",
"evaluation",
".",
"Individual",
"nodes",
"are",
"responsible",
"for",
"public",
"and",
"private",
"key",
"generation",
"(",
"P",
"##u",
"##K",
"and",
"P",
"##r",
"##K",
")",
".",
"This",
"model",
"uses",
"the",
"El",
"##G",
"##ama",
"##l",
"method",
"of",
"encryption",
"i",
".",
"e",
".",
"y",
"=",
"g"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 620 |
f-of-Authentication, Internet of Things (IoT), Re-source constrained distributed systems
I. INTRODUCTION
The Internet of Things (IoT) is a collection of "Things"
that can communicate and share information between different
applications to achieve certain goals. The IoT follows different
communications management than the TCP / IP stack, where
things follow an Identity Management Protocol to become
identified devices during data collection [1]. The IoT operates
at the lower lever of data collection and pr | [
1775,
113,
182,
5412,
1643,
114,
117,
1187,
194,
1110,
1103,
1470,
2501,
1105,
193,
1110,
1103,
2029,
9144,
119,
1109,
14622,
3053,
176,
1105,
5748,
1295,
185,
1132,
1227,
2430,
1103,
1470,
2443,
119,
2577,
14372,
3012,
117,
1103,
2674,
14372,
2745,
1157,
2029,
2501,
153,
1197,
2428,
117,
178,
119,
174,
119,
193,
117,
1106,
2951,
1103,
3510,
1105,
2228,
6439,
1470,
2501,
153,
1358,
2428,
117,
178,
119,
174,
119,
194,
117,
1907,
1106,
2490,
119,
1247,
1538,
1129,
9373,
15029,
1439,
1103,
2443,
1111,
3510,
9221,
1891,
117,
1187,
9373,
15029,
1132,
6925,
1114,
1103,
8715,
118,
23993,
3496,
2860,
2320,
1111,
1217,
170,
9373,
14372,
1105,
1168,
15029,
1138,
170,
3496,
2860,
6756,
112,
121,
112,
119,
1556,
1296,
2265,
1554,
16047,
1891,
1104,
170,
3510,
117,
9373,
15029,
4361,
3496,
4718,
119,
2857,
1103,
3510,
1110,
1460,
1118,
1103,
9373,
14372,
117,
1122,
1110,
14659,
1106,
17459,
1157,
24738,
1118,
2033,
1103,
2674,
2586,
18791,
7088,
1306,
122,
131,
5096,
9650,
3313,
1104,
1103,
5096,
13541,
18959,
1592,
1324,
119,
1130,
16156,
1116,
131,
1398,
15029,
1107,
1103,
2443,
2812,
17730,
1592,
851,
18440,
10736,
1324,
12265,
14372,
1144,
7219,
113,
153,
1197,
2428,
114,
1105,
2710,
2501,
113,
153,
1358,
2428,
114,
122,
1302,
4704,
12479,
14409,
1106,
1532,
5511,
123,
113,
157,
1197,
1775,
116,
114,
845,
5511,
1495,
8093,
1116,
2951,
1114,
1319,
2029,
2501,
125,
113,
16625,
1197,
2428,
114,
113,
3510,
114,
845,
3012,
1571,
4623,
1174,
14372,
1396,
2047,
16847,
8250,
1114,
2674,
1470,
2501,
113,
23659,
1358,
2428,
114,
113,
3510,
114,
845,
25424,
23114,
1158,
1545,
1191,
27758,
10681,
14964,
11603,
1173,
1559,
3510,
197,
197,
18959,
1592,
3048,
113,
141,
114,
845,
3012,
1604,
145,
113,
3510,
114,
845,
24930,
1181,
5511,
1154,
4129,
1580,
1950,
1275,
22219,
17195,
1103,
3510,
1429,
27157,
18082,
113,
14232,
851,
122,
114,
1111,
1397,
3510,
14372,
1470,
2501,
117,
178,
119,
174,
119,
194,
119,
7457,
1113,
1103,
1112,
17162,
13689,
5354,
6451,
9543,
1643,
26554,
2340,
117,
1103,
8250,
1169,
1129,
9221,
2913,
1178,
1114,
1103,
1329,
1104,
1103,
1470,
2501,
119,
7457,
1113,
1103,
18535,
9366,
2463,
2400,
117,
1141,
2834,
3254,
22662,
1103,
2860,
1104,
193,
117,
1165,
1168,
4718,
1132,
1377,
2728,
6540,
1106,
1172,
119,
1258,
8250,
9221,
1891,
117,
1103,
9373,
14372,
1145,
15008,
1103,
25424,
2860,
1111,
170,
1248,
1668,
1104,
10540,
119,
1258,
2265,
16047,
1891,
117,
1103,
9373,
15029,
3012,
1103,
3510,
1106,
1103,
2443,
1114,
18959,
1592,
1324,
9117,
119,
2485,
1142,
117,
2510,
15029,
1107,
1103,
2443,
1525,
1103,
18959,
1592,
1324,
1869,
1121,
1103,
3510,
1106,
5194,
1107,
1103,
4129,
119,
12265,
15029,
3254,
22662,
1103,
1144,
1324,
1104,
1103,
3510,
1105,
1712,
1122,
1106,
5088,
1103,
1397,
3510,
1105,
1103,
2331,
3254,
18505,
1144,
1324,
2860,
1110,
7905,
1107,
1103,
1954,
3510,
1106,
4731,
1103,
4129,
117,
1112,
2602,
1107,
15982,
123,
119,
1109,
3343,
1104,
1103,
18959,
1592,
1324,
7791,
1132,
1549,
1107,
2586,
18791,
7088,
1306,
122,
119,
4623,
1174,
15029,
1329,
153
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##x",
"(",
"m",
"##od",
"##p",
")",
",",
"where",
"y",
"is",
"the",
"public",
"key",
"and",
"x",
"is",
"the",
"private",
"##key",
".",
"The",
"generator",
"function",
"g",
"and",
"prime",
"number",
"p",
"are",
"known",
"##to",
"the",
"public",
"network",
".",
"Before",
"node",
"broadcast",
",",
"the",
"source",
"node",
"uses",
"its",
"private",
"key",
"P",
"##r",
"##K",
",",
"i",
".",
"e",
".",
"x",
",",
"to",
"sign",
"the",
"block",
"and",
"makes",
"##its",
"public",
"key",
"P",
"##u",
"##K",
",",
"i",
".",
"e",
".",
"y",
",",
"available",
"to",
"everyone",
".",
"There",
"must",
"be",
"trusted",
"nodes",
"within",
"the",
"network",
"for",
"block",
"valid",
"##ation",
",",
"where",
"trusted",
"nodes",
"are",
"deployed",
"with",
"the",
"mini",
"-",
"mum",
"trust",
"value",
"required",
"for",
"being",
"a",
"trusted",
"node",
"and",
"other",
"nodes",
"have",
"a",
"trust",
"value",
"zero",
"'",
"0",
"'",
".",
"With",
"each",
"successful",
"full",
"authentic",
"##ation",
"of",
"a",
"block",
",",
"trusted",
"nodes",
"gain",
"trust",
"values",
".",
"Once",
"the",
"block",
"is",
"received",
"by",
"the",
"trusted",
"node",
",",
"it",
"is",
"processed",
"to",
"evaluate",
"its",
"authenticity",
"by",
"getting",
"the",
"source",
"Al",
"##gor",
"##ith",
"##m",
"1",
":",
"Pro",
"##ced",
"##ure",
"of",
"the",
"Pro",
"##posed",
"Po",
"##A",
"##h",
".",
"In",
"##put",
"##s",
":",
"All",
"nodes",
"in",
"the",
"network",
"follow",
"SH",
"##A",
"β",
"256",
"Has",
"##h",
"Individual",
"node",
"has",
"Private",
"(",
"P",
"##r",
"##K",
")",
"and",
"Public",
"key",
"(",
"P",
"##u",
"##K",
")",
"1",
"No",
"##des",
"combine",
"transactions",
"to",
"form",
"blocks",
"2",
"(",
"T",
"##r",
"##x",
"+",
")",
"β",
"blocks",
"##3",
"Block",
"##s",
"sign",
"with",
"own",
"private",
"key",
"4",
"(",
"SP",
"##r",
"##K",
")",
"(",
"block",
")",
"β",
"broadcast",
"##5",
"Trust",
"##ed",
"node",
"ve",
"##ri",
"##fies",
"signature",
"with",
"source",
"public",
"key",
"(",
"VP",
"##u",
"##K",
")",
"(",
"block",
")",
"β",
"MAC",
"Check",
"##ing",
"##6",
"if",
"Au",
"##the",
"##nti",
"##cated",
"then",
"##7",
"block",
"|",
"|",
"Po",
"##A",
"##H",
"(",
"D",
")",
"β",
"broadcast",
"##8",
"H",
"(",
"block",
")",
"β",
"Ad",
"##d",
"blocks",
"into",
"chain",
"##9",
"else",
"10",
"DR",
"##OP",
"the",
"block",
"11",
"GO",
"##TO",
"(",
"Step",
"β",
"1",
")",
"for",
"next",
"block",
"node",
"public",
"key",
",",
"i",
".",
"e",
".",
"y",
".",
"Based",
"on",
"the",
"as",
"##ym",
"##metric",
"cry",
"##pt",
"##ography",
"##p",
"##roper",
"##ty",
",",
"the",
"signature",
"can",
"be",
"valid",
"##ated",
"only",
"with",
"the",
"use",
"of",
"the",
"public",
"key",
".",
"Based",
"on",
"the",
"discrete",
"log",
"problem",
"property",
",",
"one",
"cannot",
"com",
"##pute",
"the",
"value",
"of",
"x",
",",
"when",
"other",
"values",
"are",
"##k",
"##no",
"##wn",
"to",
"them",
".",
"After",
"signature",
"valid",
"##ation",
",",
"the",
"trusted",
"node",
"also",
"checks",
"the",
"MAC",
"value",
"for",
"a",
"second",
"round",
"of",
"evaluation",
".",
"After",
"successful",
"authentic",
"##ation",
",",
"the",
"trusted",
"nodes",
"broadcast",
"the",
"block",
"to",
"the",
"network",
"with",
"Po",
"##A",
"##h",
"identification",
".",
"Following",
"this",
",",
"individual",
"nodes",
"in",
"the",
"network",
"find",
"the",
"Po",
"##A",
"##h",
"information",
"from",
"the",
"block",
"to",
"add",
"in",
"the",
"chain",
".",
"Individual",
"nodes",
"com",
"##pute",
"the",
"has",
"##h",
"of",
"the",
"block",
"and",
"keep",
"it",
"to",
"link",
"the",
"next",
"block",
"and",
"the",
"previously",
"com",
"##puted",
"has",
"##h",
"value",
"is",
"stored",
"in",
"the",
"current",
"block",
"to",
"maintain",
"the",
"chain",
",",
"as",
"shown",
"in",
"Figure",
"2",
".",
"The",
"steps",
"of",
"the",
"Po",
"##A",
"##h",
"procedure",
"are",
"given",
"in",
"Al",
"##gor",
"##ith",
"##m",
"1",
".",
"Trust",
"##ed",
"nodes",
"use",
"P"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 621 |
ocessing as shown in
Figure 1. The IoT combines the sensing layer and middleware
for efficient data collection and transmission, while data is also
transmitted to a higher layer (Edge Layer) for near real-time
data processing [2]. The edge layer includes a large number
of edge datacenters (EDC) and EDCs are distributed in nature
without central dependencies. This edge deployment makes
the IoT deployment sustainable by processing emergency data
in the edge layer [3].
IoT
Edge
Cloud Data Processing
Figure 1 | [
1358,
2428,
113,
194,
114,
1106,
23073,
1103,
16047,
1891,
1104,
10681,
3510,
117,
1723,
1118,
25424,
9444,
1111,
170,
1248,
1668,
1104,
9221,
1891,
119,
20979,
17337,
1396,
12231,
1105,
25424,
19218,
2274,
24928,
23655,
12192,
1159,
1256,
1114,
9100,
118,
14255,
16468,
9044,
5197,
164,
1275,
166,
117,
164,
1429,
166,
119,
1109,
1397,
2237,
2790,
6700,
2686,
1111,
188,
7867,
6328,
10540,
119,
4191,
119,
142,
3190,
2101,
9637,
13371,
11680,
9159,
2162,
142,
12152,
2162,
2591,
13821,
24805,
1708,
1109,
3000,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
113,
18959,
1592,
1324,
114,
1144,
1151,
17428,
1118,
1366,
1107,
1241,
14314,
1105,
2774,
4774,
119,
1109,
4252,
3365,
118,
13280,
22692,
4068,
1111,
1231,
1643,
13225,
21977,
7706,
1105,
6700,
2686,
2756,
1112,
1103,
3068,
1104,
1103,
3000,
9932,
119,
138,
119,
14159,
13601,
6840,
27845,
1109,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
10923,
9932,
1110,
27466,
1306,
118,
23449,
2913,
1107,
1103,
23334,
4159,
1846,
1106,
17459,
1157,
2099,
119,
1370,
1142,
7886,
117,
1175,
1110,
170,
1703,
1104,
1421,
6635,
1107,
1103,
2443,
1114,
1160,
2317,
1197,
120,
9373,
15029,
1105,
1103,
3510,
2060,
1110,
4275,
1106,
2588,
1118,
3052,
117,
1187,
2967,
14409,
1132,
2023,
1107,
1141,
3510,
119,
1398,
6635,
1104,
1103,
2443,
1329,
1112,
17162,
118,
12676,
2501,
5354,
6451,
9543,
1111,
1103,
26463,
1105,
1921,
2951,
1103,
10890,
1114,
1147,
1319,
2029,
2501,
119,
1109,
3510,
3536,
1110,
11389,
14274,
23579,
3048,
157,
13371,
2036,
143,
9565,
21646,
24162,
11680,
21669,
11356,
21669,
11414,
11345,
139,
2162,
9244,
25370,
119,
18959,
1592,
1324,
19536,
2916,
1302,
119,
2614,
1678,
1111,
3510,
9221,
1891,
1107,
25849,
122,
124,
119,
2724,
124,
119,
3887,
123,
119,
5731,
125,
119,
5507,
1571,
123,
119,
5306,
124,
119,
5966,
124,
119,
3615,
124,
119,
3565,
1580,
124,
119,
3383,
10424,
124,
119,
1695,
2925,
1114,
1167,
4068,
1107,
1103,
5618,
1104,
14314,
1114,
3536,
200,
5313,
10999,
117,
107,
20979,
17337,
107,
117,
25424,
117,
157,
1197,
1775,
1475,
117,
157,
1197,
1775,
1477,
117,
119,
119,
119,
135,
119,
1109,
26514,
25428,
1104,
1103,
3510,
2401,
1105,
3510,
9221,
1891,
1132,
2602,
1107,
15982,
125,
1105,
126,
117,
3569,
119,
15982,
127,
2196,
170,
6876,
5964,
1104,
18959,
1592,
1324,
10540,
119,
12265,
6635,
9509,
14409,
1105,
5511,
117,
1105,
2951,
1172,
1114,
1147,
1319,
2029,
2501,
1196,
6731,
119,
4623,
1174,
15029,
9221,
2193,
1103,
5511,
1114,
1103,
2674,
8250,
1133,
1606,
1157,
1470,
2501,
119,
1258,
2265,
16047,
1891,
117,
9373,
15029,
1254,
3012,
1106,
1155,
1103,
6635,
1107,
1103,
2443,
1106,
1712,
170,
5633,
1104,
1103,
3510,
1154,
1147,
21340,
1197,
119,
1109,
14314,
1231,
118,
28117,
24735,
5057,
1126,
1903,
1159,
1111,
1103,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1104,
124,
119,
3236,
3071,
119,
1109,
1903,
1110,
3254,
18505,
1121,
1103,
18959,
1592,
1324,
1159,
1121,
1275,
1122,
17166,
1116,
119,
1109,
2686,
1121,
1343,
1275,
1122,
17166,
1116,
1132,
2345,
1107,
11389,
146,
117,
1187,
1103,
14314,
3226,
1103
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
21,
22,
22,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
21,
22,
22,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##u",
"##K",
"(",
"y",
")",
"to",
"verify",
"the",
"authentic",
"##ation",
"of",
"##the",
"block",
",",
"followed",
"by",
"MAC",
"checking",
"for",
"a",
"second",
"round",
"of",
"valid",
"##ation",
".",
"Sign",
"##ature",
"ve",
"##rification",
"and",
"MAC",
"calculation",
"takes",
"ne",
"##gli",
"##gible",
"time",
"even",
"with",
"resource",
"-",
"con",
"##stra",
"##ined",
"devices",
"[",
"10",
"]",
",",
"[",
"11",
"]",
".",
"The",
"next",
"section",
"provides",
"experimental",
"results",
"for",
"s",
"##cal",
"##ability",
"evaluation",
".",
"IV",
".",
"E",
"##X",
"##P",
"##ER",
"##IM",
"##EN",
"##TA",
"##L",
"E",
"##VA",
"##L",
"##U",
"##AT",
"##ION",
"##S",
"The",
"proposed",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"(",
"Po",
"##A",
"##h",
")",
"has",
"been",
"evaluated",
"by",
"us",
"in",
"both",
"simulation",
"and",
"test",
"##bed",
".",
"The",
"ex",
"##per",
"-",
"im",
"##ental",
"details",
"for",
"re",
"##p",
"##rod",
"##uc",
"##ibility",
"and",
"experimental",
"results",
"presented",
"as",
"the",
"quality",
"of",
"the",
"proposed",
"algorithm",
".",
"A",
".",
"Si",
"##mu",
"##lation",
"Evaluation",
"The",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"consensus",
"algorithm",
"is",
"si",
"##m",
"-",
"ul",
"##ated",
"in",
"the",
"Python",
"programming",
"language",
"to",
"evaluate",
"its",
"performance",
".",
"For",
"this",
"experiment",
",",
"there",
"is",
"a",
"total",
"of",
"five",
"participants",
"in",
"the",
"network",
"with",
"two",
"mine",
"##r",
"/",
"trusted",
"nodes",
"and",
"the",
"block",
"size",
"is",
"fixed",
"to",
"35",
"by",
"##tes",
",",
"where",
"multiple",
"transactions",
"are",
"kept",
"in",
"one",
"block",
".",
"All",
"participants",
"of",
"the",
"network",
"use",
"as",
"##ym",
"-",
"metric",
"key",
"cry",
"##pt",
"##ography",
"for",
"the",
"encryption",
"and",
"finally",
"sign",
"the",
"certificate",
"with",
"their",
"own",
"private",
"key",
".",
"The",
"block",
"format",
"is",
"Table",
"IP",
"##OA",
"##H",
"T",
"##IM",
"##E",
"F",
"##OR",
"AU",
"##TH",
"##EN",
"##TI",
"##CA",
"##TI",
"##ON",
"OF",
"B",
"##L",
"##OC",
"##KS",
".",
"Po",
"##A",
"##h",
"Ser",
"##ial",
"No",
".",
"Time",
"taken",
"for",
"block",
"valid",
"##ation",
"in",
"Seconds",
"1",
"3",
".",
"32",
"3",
".",
"43",
"2",
".",
"84",
"4",
".",
"02",
"##5",
"2",
".",
"96",
"3",
".",
"87",
"3",
".",
"48",
"3",
".",
"42",
"##9",
"3",
".",
"38",
"##10",
"3",
".",
"23",
"extended",
"with",
"more",
"details",
"in",
"the",
"context",
"of",
"simulation",
"with",
"format",
"Β‘",
"Source",
"ID",
",",
"\"",
"Sign",
"##ature",
"\"",
",",
"MAC",
",",
"T",
"##r",
"##x",
"##1",
",",
"T",
"##r",
"##x",
"##2",
",",
".",
".",
".",
">",
".",
"The",
"##det",
"##ails",
"of",
"the",
"block",
"structure",
"and",
"block",
"valid",
"##ation",
"are",
"shown",
"in",
"Figure",
"4",
"and",
"5",
",",
"respectively",
".",
"Figure",
"6",
"shows",
"a",
"sample",
"output",
"of",
"Po",
"##A",
"##h",
"evaluation",
".",
"Individual",
"participants",
"generate",
"transactions",
"and",
"blocks",
",",
"and",
"sign",
"them",
"with",
"their",
"own",
"private",
"key",
"before",
"broadcasting",
".",
"Trust",
"##ed",
"nodes",
"valid",
"##ate",
"the",
"blocks",
"with",
"the",
"source",
"signature",
"but",
"using",
"its",
"public",
"key",
".",
"After",
"successful",
"authentic",
"##ation",
",",
"trusted",
"nodes",
"again",
"broadcast",
"to",
"all",
"the",
"participants",
"in",
"the",
"network",
"to",
"keep",
"a",
"copy",
"of",
"the",
"block",
"into",
"their",
"ledge",
"##r",
".",
"The",
"simulation",
"re",
"-",
"su",
"##lts",
"indicate",
"an",
"average",
"time",
"for",
"the",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"of",
"3",
".",
"34",
"seconds",
".",
"The",
"average",
"is",
"com",
"##puted",
"from",
"the",
"Po",
"##A",
"##h",
"time",
"from",
"10",
"it",
"##eration",
"##s",
".",
"The",
"results",
"from",
"those",
"10",
"it",
"##eration",
"##s",
"are",
"listed",
"in",
"Table",
"I",
",",
"where",
"the",
"simulation",
"follows",
"the"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 622 |
. Multi-layer architecture of resource-constrained distributed systems.
The combination of IoT and EDCs forms a distributed envi-
ronment with resource-constrained devices. Security becomes
a key requirement for these mission critical environments.
Several security solutions involving cryptography exist for
IoT and similar applications [4] [5]. Cryptographic solutions
are broadly divided into two types: asymmetric cryptography
and symmetric cryptography. Symmetric cryptography is ap-
proximately 1000 time | [
3343,
1104,
2586,
18791,
7088,
1306,
122,
119,
139,
119,
5960,
4774,
27845,
1109,
3000,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1110,
7042,
1107,
170,
1842,
118,
1159,
2774,
4774,
1106,
17459,
1157,
20598,
119,
1109,
2774,
4774,
7249,
2075,
1421,
16890,
20080,
6614,
21902,
1116,
117,
1187,
1210,
21902,
1116,
1132,
2628,
1114,
2967,
15145,
113,
1216,
1112,
4143,
117,
20641,
1105,
2828,
114,
1105,
1103,
1168,
1160,
1250,
1112,
1103,
9373,
15029,
1106,
1103,
2443,
119,
1398,
21902,
1116,
1132,
14255,
18930,
1114,
122,
119,
123,
144,
3048,
1584,
3324,
120,
2724,
118,
2113,
186,
18413,
118,
4160,
22133,
2107,
3291,
22460,
1775,
118,
138,
24239,
18701,
117,
122,
17909,
6400,
2137,
17308,
1477,
20898,
1120,
7208,
11511,
1105,
16943,
8178,
3823,
2107,
24606,
26303,
1449,
118,
1113,
118,
11451,
1105,
1329,
1103,
156,
22825,
3150,
8539,
1106,
4731,
1103,
7448,
117,
11030,
118,
181,
1596,
120,
2029,
6631,
1105,
5354,
6451,
9597,
1144,
16090,
119,
1220,
1132,
3387,
1114,
1296,
1168,
1194,
1103,
4639,
119,
1760,
2510,
21902,
19213,
2233,
1106,
1532,
170,
3510,
1105,
1173,
8737,
1122,
1111,
16047,
1891,
1118,
1103,
9373,
21902,
1116,
1134,
4731,
170,
8539,
1106,
1525,
1103,
1470,
2501,
1104,
1103,
2674,
1106,
23073,
1103,
8250,
1105,
3012,
1103,
16047,
2913,
5511,
1170,
2265,
16047,
1891,
119,
1188,
7249,
3226,
1103,
2585,
1104,
2586,
18791,
7088,
1306,
118,
122,
119,
1109,
2335,
2774,
4774,
18011,
1110,
1112,
2602,
1107,
15982,
128,
119,
1556,
1103,
1965,
1104,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
117,
1103,
21902,
1116,
1321,
1126,
1903,
1104,
124,
119,
129,
3071,
1229,
1103,
1703,
1322,
118,
1106,
118,
1322,
1159,
1121,
3510,
3855,
1106,
2479,
170,
1226,
1104,
3510,
7147,
1394,
1110,
125,
119,
125,
3071,
119,
1284,
1138,
4803,
1142,
1295,
1121,
1405,
2500,
119,
1109,
1322,
118,
1106,
118,
1322,
1159,
1110,
23481,
1359,
1113,
1103,
5143,
1104,
6678,
1105,
19903,
1540,
1104,
1103,
21902,
1116,
119,
1109,
2774,
4774,
10540,
1110,
2871,
7781,
1113,
4006,
1103,
20598,
1104,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1107,
9100,
118,
14255,
16468,
9044,
4901,
2344,
119,
15982,
125,
119,
8093,
2401,
119,
15982,
126,
119,
8093,
9221,
1891,
119,
15982,
127,
119,
2687,
7136,
5964,
1104,
18959,
1592,
1324,
119,
1109,
2774,
4774,
7249,
1965,
3226,
2586,
18791,
7088,
1306,
122,
10802,
1106,
1243,
1103,
188,
7867,
6328,
1104,
1103,
2443,
1449,
119,
1135,
1336,
1129,
2382,
1115,
5096,
10008,
118,
1104,
118,
6955,
113,
18959,
2924,
114,
9932,
1229,
1919,
1107,
1344,
118,
2099,
12783,
3979,
1144,
170,
2495,
118,
1995,
3457,
1107,
1103,
1546,
1104,
1275,
11241,
1116,
119,
3458,
3000,
18959,
1592,
1324,
1229,
1919,
1107,
2609,
2775,
3979,
1144,
170,
1523,
7232,
1107,
1103,
1546,
1104,
124,
14516,
6063,
119,
4516,
117,
1412,
3000,
18959,
1592,
1324,
1110,
1120,
1655,
2363,
240,
27704,
1200,
1190,
18959,
2924,
1134,
1110,
1215,
1107,
2361,
3510,
7147,
1394,
117,
1105,
7544,
1110,
3023,
188,
7867,
1895,
1111,
1415,
2233,
27948,
1134,
1209,
1576,
4946,
117,
1209,
1329,
10298
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
17,
18,
18,
18,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
23,
24,
24,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
5,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
17,
18,
18,
18,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
23,
24,
24,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
5,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"steps",
"of",
"Al",
"##gor",
"##ith",
"##m",
"1",
".",
"B",
".",
"Test",
"##bed",
"Evaluation",
"The",
"proposed",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"is",
"implemented",
"in",
"a",
"real",
"-",
"time",
"test",
"##bed",
"to",
"evaluate",
"its",
"sustainability",
".",
"The",
"test",
"##bed",
"implementation",
"includes",
"five",
"Ra",
"##sp",
"##berry",
"Pi",
"##s",
",",
"where",
"three",
"Pi",
"##s",
"are",
"associated",
"with",
"multiple",
"sensors",
"(",
"such",
"as",
"temperature",
",",
"humidity",
"and",
"touch",
")",
"and",
"the",
"other",
"two",
"work",
"as",
"the",
"trusted",
"nodes",
"to",
"the",
"network",
".",
"All",
"Pi",
"##s",
"are",
"con",
"##figured",
"with",
"1",
".",
"2",
"G",
"##H",
"##z",
"64",
"/",
"32",
"-",
"bit",
"q",
"##uad",
"-",
"core",
"AR",
"##M",
"Co",
"##rte",
"##x",
"-",
"A",
"##53",
"CPU",
",",
"1",
"GB",
"LP",
"##D",
"##DR",
"##2",
"RAM",
"at",
"900",
"MHz",
"and",
"Broad",
"##com",
"BC",
"##M",
"##28",
"##37",
"system",
"-",
"on",
"-",
"chip",
"and",
"use",
"the",
"S",
"##QL",
"##ite",
"database",
"to",
"maintain",
"the",
"index",
",",
"pub",
"-",
"l",
"##ic",
"/",
"private",
"keys",
"and",
"cry",
"##pt",
"##ographic",
"has",
"##hes",
".",
"They",
"are",
"connected",
"with",
"each",
"other",
"through",
"the",
"Internet",
".",
"An",
"individual",
"Pi",
"collects",
"data",
"to",
"form",
"a",
"block",
"and",
"then",
"broadcasts",
"it",
"for",
"authentic",
"##ation",
"by",
"the",
"trusted",
"Pi",
"##s",
"which",
"maintain",
"a",
"database",
"to",
"find",
"the",
"public",
"key",
"of",
"the",
"source",
"to",
"verify",
"the",
"signature",
"and",
"broadcast",
"the",
"authentic",
"##ated",
"blocks",
"after",
"successful",
"authentic",
"##ation",
".",
"This",
"implementation",
"follows",
"the",
"step",
"of",
"Al",
"##gor",
"##ith",
"##m",
"-",
"1",
".",
"The",
"complete",
"test",
"##bed",
"setup",
"is",
"as",
"shown",
"in",
"Figure",
"7",
".",
"With",
"the",
"process",
"of",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
",",
"the",
"Pi",
"##s",
"take",
"an",
"average",
"of",
"3",
".",
"8",
"seconds",
"while",
"the",
"total",
"end",
"-",
"to",
"-",
"end",
"time",
"from",
"block",
"formation",
"to",
"becoming",
"a",
"part",
"of",
"block",
"##cha",
"##in",
"is",
"4",
".",
"4",
"seconds",
".",
"We",
"have",
"concluded",
"this",
"number",
"from",
"15",
"operations",
".",
"The",
"end",
"-",
"to",
"-",
"end",
"time",
"is",
"subjective",
"based",
"on",
"the",
"medium",
"of",
"communications",
"and",
"computational",
"power",
"of",
"the",
"Pi",
"##s",
".",
"The",
"test",
"##bed",
"evaluation",
"is",
"mainly",
"focusing",
"on",
"finding",
"the",
"sustainability",
"of",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"in",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
".",
"Figure",
"4",
".",
"Block",
"structure",
".",
"Figure",
"5",
".",
"Block",
"valid",
"##ation",
".",
"Figure",
"6",
".",
"Sam",
"##ple",
"output",
"of",
"Po",
"##A",
"##h",
".",
"The",
"test",
"##bed",
"implementation",
"process",
"follows",
"Al",
"##gor",
"##ith",
"##m",
"1",
"strictly",
"to",
"get",
"the",
"s",
"##cal",
"##ability",
"of",
"the",
"network",
"system",
".",
"It",
"may",
"be",
"noted",
"that",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"(",
"Po",
"##W",
")",
"algorithm",
"while",
"running",
"in",
"high",
"-",
"performance",
"computing",
"resources",
"has",
"a",
"la",
"-",
"ten",
"##cy",
"in",
"the",
"order",
"of",
"10",
"min",
"##s",
".",
"Our",
"proposed",
"Po",
"##A",
"##h",
"while",
"running",
"in",
"limited",
"computer",
"resources",
"has",
"a",
"late",
"##ncy",
"in",
"the",
"order",
"of",
"3",
"se",
"##cs",
".",
"Thus",
",",
"our",
"proposed",
"Po",
"##A",
"##h",
"is",
"at",
"least",
"200",
"Γ",
"##fast",
"##er",
"than",
"Po",
"##W",
"which",
"is",
"used",
"in",
"traditional",
"block",
"##cha",
"##in",
",",
"and",
"hence",
"is",
"highly",
"s",
"##cal",
"##able",
"for",
"large",
"data",
"##sets",
"which",
"will",
"run",
"faster",
",",
"will",
"use",
"minimal"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 623 |
. Multi-layer architecture of resource-constrained distributed systems.
The combination of IoT and EDCs forms a distributed envi-
ronment with resource-constrained devices. Security becomes
a key requirement for these mission critical environments.
Several security solutions involving cryptography exist for
IoT and similar applications [4] [5]. Cryptographic solutions
are broadly divided into two types: asymmetric cryptography
and symmetric cryptography. Symmetric cryptography is ap-
proximately 1000 time | [
3343,
1104,
2586,
18791,
7088,
1306,
122,
119,
139,
119,
5960,
4774,
27845,
1109,
3000,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1110,
7042,
1107,
170,
1842,
118,
1159,
2774,
4774,
1106,
17459,
1157,
20598,
119,
1109,
2774,
4774,
7249,
2075,
1421,
16890,
20080,
6614,
21902,
1116,
117,
1187,
1210,
21902,
1116,
1132,
2628,
1114,
2967,
15145,
113,
1216,
1112,
4143,
117,
20641,
1105,
2828,
114,
1105,
1103,
1168,
1160,
1250,
1112,
1103,
9373,
15029,
1106,
1103,
2443,
119,
1398,
21902,
1116,
1132,
14255,
18930,
1114,
122,
119,
123,
144,
3048,
1584,
3324,
120,
2724,
118,
2113,
186,
18413,
118,
4160,
22133,
2107,
3291,
22460,
1775,
118,
138,
24239,
18701,
117,
122,
17909,
6400,
2137,
17308,
1477,
20898,
1120,
7208,
11511,
1105,
16943,
8178,
3823,
2107,
24606,
26303,
1449,
118,
1113,
118,
11451,
1105,
1329,
1103,
156,
22825,
3150,
8539,
1106,
4731,
1103,
7448,
117,
11030,
118,
181,
1596,
120,
2029,
6631,
1105,
5354,
6451,
9597,
1144,
16090,
119,
1220,
1132,
3387,
1114,
1296,
1168,
1194,
1103,
4639,
119,
1760,
2510,
21902,
19213,
2233,
1106,
1532,
170,
3510,
1105,
1173,
8737,
1122,
1111,
16047,
1891,
1118,
1103,
9373,
21902,
1116,
1134,
4731,
170,
8539,
1106,
1525,
1103,
1470,
2501,
1104,
1103,
2674,
1106,
23073,
1103,
8250,
1105,
3012,
1103,
16047,
2913,
5511,
1170,
2265,
16047,
1891,
119,
1188,
7249,
3226,
1103,
2585,
1104,
2586,
18791,
7088,
1306,
118,
122,
119,
1109,
2335,
2774,
4774,
18011,
1110,
1112,
2602,
1107,
15982,
128,
119,
1556,
1103,
1965,
1104,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
117,
1103,
21902,
1116,
1321,
1126,
1903,
1104,
124,
119,
129,
3071,
1229,
1103,
1703,
1322,
118,
1106,
118,
1322,
1159,
1121,
3510,
3855,
1106,
2479,
170,
1226,
1104,
3510,
7147,
1394,
1110,
125,
119,
125,
3071,
119,
1284,
1138,
4803,
1142,
1295,
1121,
1405,
2500,
119,
1109,
1322,
118,
1106,
118,
1322,
1159,
1110,
23481,
1359,
1113,
1103,
5143,
1104,
6678,
1105,
19903,
1540,
1104,
1103,
21902,
1116,
119,
1109,
2774,
4774,
10540,
1110,
2871,
7781,
1113,
4006,
1103,
20598,
1104,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1107,
9100,
118,
14255,
16468,
9044,
4901,
2344,
119,
15982,
125,
119,
8093,
2401,
119,
15982,
126,
119,
8093,
9221,
1891,
119,
15982,
127,
119,
2687,
7136,
5964,
1104,
18959,
1592,
1324,
119,
1109,
2774,
4774,
7249,
1965,
3226,
2586,
18791,
7088,
1306,
122,
10802,
1106,
1243,
1103,
188,
7867,
6328,
1104,
1103,
2443,
1449,
119,
1135,
1336,
1129,
2382,
1115,
5096,
10008,
118,
1104,
118,
6955,
113,
18959,
2924,
114,
9932,
1229,
1919,
1107,
1344,
118,
2099,
12783,
3979,
1144,
170,
2495,
118,
1995,
3457,
1107,
1103,
1546,
1104,
1275,
11241,
1116,
119,
3458,
3000,
18959,
1592,
1324,
1229,
1919,
1107,
2609,
2775,
3979,
1144,
170,
1523,
7232,
1107,
1103,
1546,
1104,
124,
14516,
6063,
119,
4516,
117,
1412,
3000,
18959,
1592,
1324,
1110,
1120,
1655,
2363,
240,
27704,
1200,
1190,
18959,
2924,
1134,
1110,
1215,
1107,
2361,
3510,
7147,
1394,
117,
1105,
7544,
1110,
3023,
188,
7867,
1895,
1111,
1415,
2233,
27948,
1134,
1209,
1576,
4946,
117,
1209,
1329,
10298
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"steps",
"of",
"Al",
"##gor",
"##ith",
"##m",
"1",
".",
"B",
".",
"Test",
"##bed",
"Evaluation",
"The",
"proposed",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"is",
"implemented",
"in",
"a",
"real",
"-",
"time",
"test",
"##bed",
"to",
"evaluate",
"its",
"sustainability",
".",
"The",
"test",
"##bed",
"implementation",
"includes",
"five",
"Ra",
"##sp",
"##berry",
"Pi",
"##s",
",",
"where",
"three",
"Pi",
"##s",
"are",
"associated",
"with",
"multiple",
"sensors",
"(",
"such",
"as",
"temperature",
",",
"humidity",
"and",
"touch",
")",
"and",
"the",
"other",
"two",
"work",
"as",
"the",
"trusted",
"nodes",
"to",
"the",
"network",
".",
"All",
"Pi",
"##s",
"are",
"con",
"##figured",
"with",
"1",
".",
"2",
"G",
"##H",
"##z",
"64",
"/",
"32",
"-",
"bit",
"q",
"##uad",
"-",
"core",
"AR",
"##M",
"Co",
"##rte",
"##x",
"-",
"A",
"##53",
"CPU",
",",
"1",
"GB",
"LP",
"##D",
"##DR",
"##2",
"RAM",
"at",
"900",
"MHz",
"and",
"Broad",
"##com",
"BC",
"##M",
"##28",
"##37",
"system",
"-",
"on",
"-",
"chip",
"and",
"use",
"the",
"S",
"##QL",
"##ite",
"database",
"to",
"maintain",
"the",
"index",
",",
"pub",
"-",
"l",
"##ic",
"/",
"private",
"keys",
"and",
"cry",
"##pt",
"##ographic",
"has",
"##hes",
".",
"They",
"are",
"connected",
"with",
"each",
"other",
"through",
"the",
"Internet",
".",
"An",
"individual",
"Pi",
"collects",
"data",
"to",
"form",
"a",
"block",
"and",
"then",
"broadcasts",
"it",
"for",
"authentic",
"##ation",
"by",
"the",
"trusted",
"Pi",
"##s",
"which",
"maintain",
"a",
"database",
"to",
"find",
"the",
"public",
"key",
"of",
"the",
"source",
"to",
"verify",
"the",
"signature",
"and",
"broadcast",
"the",
"authentic",
"##ated",
"blocks",
"after",
"successful",
"authentic",
"##ation",
".",
"This",
"implementation",
"follows",
"the",
"step",
"of",
"Al",
"##gor",
"##ith",
"##m",
"-",
"1",
".",
"The",
"complete",
"test",
"##bed",
"setup",
"is",
"as",
"shown",
"in",
"Figure",
"7",
".",
"With",
"the",
"process",
"of",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
",",
"the",
"Pi",
"##s",
"take",
"an",
"average",
"of",
"3",
".",
"8",
"seconds",
"while",
"the",
"total",
"end",
"-",
"to",
"-",
"end",
"time",
"from",
"block",
"formation",
"to",
"becoming",
"a",
"part",
"of",
"block",
"##cha",
"##in",
"is",
"4",
".",
"4",
"seconds",
".",
"We",
"have",
"concluded",
"this",
"number",
"from",
"15",
"operations",
".",
"The",
"end",
"-",
"to",
"-",
"end",
"time",
"is",
"subjective",
"based",
"on",
"the",
"medium",
"of",
"communications",
"and",
"computational",
"power",
"of",
"the",
"Pi",
"##s",
".",
"The",
"test",
"##bed",
"evaluation",
"is",
"mainly",
"focusing",
"on",
"finding",
"the",
"sustainability",
"of",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"in",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
".",
"Figure",
"4",
".",
"Block",
"structure",
".",
"Figure",
"5",
".",
"Block",
"valid",
"##ation",
".",
"Figure",
"6",
".",
"Sam",
"##ple",
"output",
"of",
"Po",
"##A",
"##h",
".",
"The",
"test",
"##bed",
"implementation",
"process",
"follows",
"Al",
"##gor",
"##ith",
"##m",
"1",
"strictly",
"to",
"get",
"the",
"s",
"##cal",
"##ability",
"of",
"the",
"network",
"system",
".",
"It",
"may",
"be",
"noted",
"that",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"(",
"Po",
"##W",
")",
"algorithm",
"while",
"running",
"in",
"high",
"-",
"performance",
"computing",
"resources",
"has",
"a",
"la",
"-",
"ten",
"##cy",
"in",
"the",
"order",
"of",
"10",
"min",
"##s",
".",
"Our",
"proposed",
"Po",
"##A",
"##h",
"while",
"running",
"in",
"limited",
"computer",
"resources",
"has",
"a",
"late",
"##ncy",
"in",
"the",
"order",
"of",
"3",
"se",
"##cs",
".",
"Thus",
",",
"our",
"proposed",
"Po",
"##A",
"##h",
"is",
"at",
"least",
"200",
"Γ",
"##fast",
"##er",
"than",
"Po",
"##W",
"which",
"is",
"used",
"in",
"traditional",
"block",
"##cha",
"##in",
",",
"and",
"hence",
"is",
"highly",
"s",
"##cal",
"##able",
"for",
"large",
"data",
"##sets",
"which",
"will",
"run",
"faster",
",",
"will",
"use",
"minimal"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 624 |
s faster than asymmetric cryptography,
and therefore symmetric cryptography is widely accepted for
IoT infrastructure [6]. The IoT is a large part of resource-
constrained distributed systems, so it also adopts symmetric
cryptosystem for encryption and decryption. In either case,
there is always a central entity to initialize or process these
security mechanisms, i.e. a Key Distribution Center (KDC) for
symmetric cryptography and a Certificate Authority (CA) for
asymmetric cryptography. As a result, a sin | [
3979,
117,
1105,
1209,
1138,
10298,
2308,
8160,
2555,
10988,
119,
1622,
1103,
1807,
10093,
1105,
6700,
2527,
117,
1195,
17581,
1115,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1169,
4971,
5096,
10008,
118,
1104,
118,
6955,
1118,
11100,
1126,
16047,
1891,
6978,
1154,
9100,
118,
14255,
16468,
9044,
6379,
2456,
2280,
1103,
1442,
1111,
188,
7867,
118,
1682,
3510,
7147,
1394,
1115,
1169,
4282,
1415,
7919,
1104,
2233,
1114,
2609,
3979,
1114,
2964,
1523,
7232,
164,
1275,
166,
117,
164,
1429,
166,
117,
164,
130,
166,
119,
159,
119,
18732,
15517,
2162,
13329,
24805,
1708,
1188,
2526,
2790,
170,
1207,
10923,
9932,
1417,
5096,
10008,
118,
1104,
118,
27758,
10681,
14964,
14520,
1111,
14939,
3510,
7147,
1394,
119,
3935,
7150,
3510,
7147,
1394,
1110,
1579,
170,
2501,
5318,
1111,
9100,
118,
14255,
16468,
9044,
4901,
2344,
1106,
11125,
25864,
12864,
15672,
119,
1109,
3000,
10923,
9932,
1110,
9221,
2913,
1114,
3622,
1105,
7857,
119,
1109,
7886,
1110,
3303,
1107,
1241,
14314,
1105,
2774,
4774,
10152,
1106,
17459,
1157,
188,
7867,
6328,
119,
1130,
1103,
2174,
1250,
1195,
2197,
1106,
19774,
1103,
3000,
18959,
1592,
1324,
9932,
1114,
1992,
27922,
3741,
1107,
2610,
2344,
119,
1109,
2699,
1104,
1103,
3000,
14975,
1111,
1672,
6757,
8519,
3690,
1209,
1129,
10510,
1107,
2174,
1250,
119,
155,
14663,
9637,
11680,
10954,
1708,
164,
122,
166,
138,
119,
2091,
14791,
117,
156,
119,
156,
119,
14812,
15624,
9014,
117,
155,
119,
23915,
18484,
1377,
117,
1105,
153,
119,
144,
3984,
1611,
8997,
2312,
117,
107,
8093,
7147,
1394,
1111,
2240,
1186,
1942,
2699,
1105,
9909,
131,
1109,
1692,
2025,
1104,
170,
6866,
1313,
117,
107,
1107,
5096,
2093,
1174,
118,
16664,
1116,
1104,
1103,
16206,
1570,
3047,
1113,
14286,
25007,
20463,
1105,
1658,
4165,
22229,
1116,
16350,
1116,
113,
14286,
1658,
4165,
16350,
1116,
114,
117,
1504,
117,
4329,
119,
5391,
1604,
782,
5073,
1495,
119,
164,
123,
166,
141,
119,
11913,
7654,
117,
150,
119,
156,
119,
152,
2822,
6859,
1204,
117,
153,
119,
20689,
1810,
117,
150,
119,
19039,
117,
156,
119,
153,
119,
20165,
2340,
117,
1105,
138,
119,
162,
119,
163,
7903,
2315,
117,
107,
22087,
22712,
1105,
10940,
6829,
23858,
1104,
2652,
2233,
6425,
1394,
10335,
12783,
117,
107,
16206,
6345,
4341,
117,
10857,
119,
4376,
117,
1185,
119,
126,
117,
4329,
119,
2539,
782,
2625,
117,
1857,
119,
164,
124,
166,
156,
119,
148,
119,
12107,
2737,
1611,
117,
141,
119,
11913,
7654,
117,
139,
119,
17784,
5114,
1186,
117,
156,
119,
15324,
117,
163,
119,
17584,
1162,
117,
1105,
138,
119,
162,
119,
163,
7903,
2315,
117,
107,
5514,
118,
142,
3101,
26845,
3177,
1643,
26179,
1880,
1104,
10403,
7154,
25195,
1116,
1111,
8410,
11804,
1116,
1107,
1708,
8954,
8104,
1895,
146,
1186,
1942,
117,
107,
16206,
11737,
117,
1857,
119,
164,
125,
166,
141,
119,
14321,
11014,
117,
148,
119,
1573,
20955,
2665,
117,
1105,
147,
119,
19892,
17096,
117,
107,
146,
3329,
2699,
113,
178,
12129,
10294,
114,
4615,
1161,
118,
189,
5266,
117,
5420,
117,
1105,
4220,
1116,
117,
107,
1107,
20661
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
21,
22,
22,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
21,
22,
22,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"resources",
",",
"and",
"will",
"have",
"minimal",
"energy",
"consumption",
"foot",
"##print",
".",
"From",
"the",
"above",
"theoretical",
"and",
"experimental",
"studies",
",",
"we",
"conclude",
"that",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"can",
"replace",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"by",
"introducing",
"an",
"authentic",
"##ation",
"mechanism",
"into",
"resource",
"-",
"con",
"##stra",
"##ined",
"networks",
"thus",
"opening",
"the",
"door",
"for",
"s",
"##cal",
"-",
"able",
"block",
"##cha",
"##in",
"that",
"can",
"handle",
"large",
"amounts",
"of",
"data",
"with",
"limited",
"resources",
"with",
"smaller",
"late",
"##ncy",
"[",
"10",
"]",
",",
"[",
"11",
"]",
",",
"[",
"9",
"]",
".",
"V",
".",
"CO",
"##NC",
"##L",
"##US",
"##ION",
"##S",
"This",
"paper",
"provides",
"a",
"new",
"consensus",
"algorithm",
"named",
"Pro",
"##of",
"-",
"of",
"-",
"Au",
"##the",
"##nti",
"##cation",
"for",
"lightweight",
"block",
"##cha",
"##in",
".",
"Light",
"##weight",
"block",
"##cha",
"##in",
"is",
"always",
"a",
"key",
"factor",
"for",
"resource",
"-",
"con",
"##stra",
"##ined",
"distributed",
"systems",
"to",
"eliminate",
"centralized",
"depend",
"##encies",
".",
"The",
"proposed",
"consensus",
"algorithm",
"is",
"valid",
"##ated",
"with",
"analysis",
"and",
"experiments",
".",
"The",
"experiment",
"is",
"conducted",
"in",
"both",
"simulation",
"and",
"test",
"##bed",
"environments",
"to",
"evaluate",
"its",
"s",
"##cal",
"##ability",
".",
"In",
"the",
"future",
"work",
"we",
"plan",
"to",
"analyze",
"the",
"proposed",
"Po",
"##A",
"##h",
"algorithm",
"with",
"big",
"##data",
"sets",
"in",
"larger",
"systems",
".",
"The",
"security",
"of",
"the",
"proposed",
"algorithms",
"for",
"various",
"bench",
"##mark",
"attacks",
"will",
"be",
"undertaken",
"in",
"future",
"work",
".",
"R",
"##EF",
"##ER",
"##EN",
"##CE",
"##S",
"[",
"1",
"]",
"A",
".",
"Do",
"##rri",
",",
"S",
".",
"S",
".",
"Ka",
"##nh",
"##ere",
",",
"R",
".",
"Ju",
"##rda",
"##k",
",",
"and",
"P",
".",
"G",
"##au",
"##ra",
"##var",
"##am",
",",
"\"",
"Block",
"##cha",
"##in",
"for",
"##I",
"##o",
"##T",
"security",
"and",
"privacy",
":",
"The",
"case",
"study",
"of",
"a",
"smart",
"home",
",",
"\"",
"in",
"Pro",
"##ce",
"##ed",
"-",
"ing",
"##s",
"of",
"the",
"IEEE",
"International",
"Conference",
"on",
"Per",
"##vasive",
"Computing",
"and",
"##C",
"##om",
"##munication",
"##s",
"Workshop",
"##s",
"(",
"Per",
"##C",
"##om",
"Workshop",
"##s",
")",
",",
"2017",
",",
"pp",
".",
"61",
"##8",
"β",
"62",
"##3",
".",
"[",
"2",
"]",
"D",
".",
"Put",
"##hal",
",",
"M",
".",
"S",
".",
"O",
"##ba",
"##ida",
"##t",
",",
"P",
".",
"Nan",
"##da",
",",
"M",
".",
"Prasad",
",",
"S",
".",
"P",
".",
"Mohan",
"##ty",
",",
"and",
"A",
".",
"Y",
".",
"Z",
"##oma",
"##ya",
",",
"\"",
"Se",
"##cure",
"and",
"sustainable",
"load",
"balancing",
"of",
"edge",
"data",
"centers",
"##in",
"fog",
"computing",
",",
"\"",
"IEEE",
"Communications",
"Magazine",
",",
"vol",
".",
"56",
",",
"no",
".",
"5",
",",
"pp",
".",
"60",
"β",
"65",
",",
"2018",
".",
"[",
"3",
"]",
"S",
".",
"K",
".",
"Mi",
"##sh",
"##ra",
",",
"D",
".",
"Put",
"##hal",
",",
"B",
".",
"Sa",
"##ho",
"##o",
",",
"S",
".",
"Sharma",
",",
"Z",
".",
"Xu",
"##e",
",",
"and",
"A",
".",
"Y",
".",
"Z",
"##oma",
"##ya",
",",
"\"",
"Energy",
"-",
"E",
"##ff",
"##icient",
"De",
"##p",
"##loy",
"##ment",
"of",
"Edge",
"Data",
"##enter",
"##s",
"for",
"Mobile",
"Cloud",
"##s",
"in",
"##S",
"##ust",
"##ain",
"##able",
"I",
"##o",
"##T",
",",
"\"",
"IEEE",
"Access",
",",
"2018",
".",
"[",
"4",
"]",
"D",
".",
"Min",
"##oli",
",",
"K",
".",
"So",
"##hra",
"##by",
",",
"and",
"J",
".",
"Ko",
"##uns",
",",
"\"",
"I",
"##ot",
"security",
"(",
"i",
"##ots",
"##ec",
")",
"consider",
"##a",
"-",
"t",
"##ions",
",",
"requirements",
",",
"and",
"architecture",
"##s",
",",
"\"",
"in",
"Proceedings"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 625 |
gle-point failure
may lead to a compromise of the whole system. There is al-
ways demand of decentralized security solutions for distributed
systems, and the blockchain is presently a widely accepted
decentralized security solution.
In a change in outlook, the blockchain disposes of the
requirement for any central entity between various users
executing data and financial transmissions by utilizing an
immutable, simple and decentralized public ledger. This pub-
lic ledger is distributed in nature, where | [
1104,
1103,
5740,
16206,
1592,
9238,
4746,
17122,
6345,
111,
3998,
1158,
3047,
113,
21362,
15517,
114,
117,
1504,
117,
1504,
117,
4329,
119,
1620,
1545,
782,
1620,
1559,
119,
164,
126,
166,
147,
119,
118,
145,
119,
2499,
1105,
145,
119,
4246,
117,
107,
4354,
1105,
9909,
7806,
1107,
1103,
7210,
10008,
1614,
164,
2699,
1105,
9909,
5218,
166,
117,
107,
16206,
17122,
13983,
2107,
15446,
25593,
117,
10857,
119,
127,
117,
1185,
119,
124,
117,
4329,
119,
15917,
782,
16222,
117,
1504,
119,
164,
127,
166,
141,
119,
11913,
7654,
117,
156,
119,
7795,
117,
155,
119,
16890,
19926,
1179,
117,
1105,
147,
119,
8742,
117,
107,
26624,
1708,
1162,
2271,
131,
138,
9652,
2501,
118,
2251,
118,
1359,
7856,
1842,
118,
1159,
2699,
1396,
12231,
2235,
1111,
1992,
2233,
14765,
117,
107,
9690,
2107,
13809,
22946,
1113,
18653,
4774,
4902,
20463,
6475,
113,
157,
8231,
1708,
114,
117,
10857,
119,
1479,
117,
1185,
119,
123,
117,
185,
119,
4062,
117,
1504,
119,
4539,
27989,
10224,
1204,
782,
125,
4539,
27989,
10224,
1204,
782,
122,
4539,
27989,
10224,
1204,
782,
124,
2101,
9349,
27989,
10224,
1204,
782,
123,
4539,
27989,
10224,
1204,
782,
126,
26574,
22680,
2069,
14038,
22680,
2069,
15982,
128,
119,
8093,
6165,
1114,
14409,
1105,
1144,
8840,
119,
164,
128,
166,
141,
119,
11913,
7654,
117,
151,
119,
15147,
117,
156,
119,
153,
119,
20165,
2340,
117,
142,
119,
19892,
9610,
16265,
1116,
117,
1105,
140,
119,
8772,
117,
107,
1109,
27467,
7147,
1394,
1112,
170,
11858,
4412,
2200,
2699,
8297,
117,
107,
16206,
17122,
2036,
18465,
26003,
1116,
4341,
117,
10857,
119,
128,
117,
1185,
119,
123,
117,
4329,
119,
1407,
782,
1626,
117,
1857,
119,
164,
129,
166,
141,
119,
11913,
7654,
117,
151,
119,
15147,
117,
156,
119,
153,
119,
20165,
2340,
117,
142,
119,
19892,
9610,
16265,
1116,
117,
1105,
144,
119,
10730,
117,
107,
5268,
1192,
20601,
1106,
9224,
3517,
1103,
8093,
7147,
1394,
131,
2098,
18432,
117,
3291,
24729,
21222,
1116,
117,
18821,
1279,
117,
1105,
23855,
117,
107,
16206,
17122,
13983,
2107,
15446,
25593,
117,
10857,
119,
128,
117,
1185,
119,
125,
117,
4329,
119,
127,
782,
1489,
117,
1857,
119,
164,
130,
166,
141,
119,
11913,
7654,
1105,
156,
119,
153,
119,
20165,
2340,
117,
107,
5096,
10008,
1104,
27758,
10681,
14964,
14520,
131,
146,
1186,
1942,
118,
4931,
8093,
7147,
4935,
117,
107,
16206,
18959,
5208,
16764,
1116,
117,
10857,
119,
3383,
117,
1185,
119,
122,
117,
10351,
119,
164,
1275,
166,
151,
119,
148,
21581,
19091,
117,
107,
2825,
3510,
7147,
1394,
13346,
1103,
7210,
1104,
1614,
136,
107,
9686,
6861,
117,
10857,
119,
1627,
117,
1185,
119,
125,
117,
4329,
119,
5599,
782,
5117,
117,
1504,
119,
164,
1429,
166,
156,
119,
2586,
7111,
5567,
117,
153,
119,
13711,
117,
155,
119,
24659,
117,
153,
119,
146,
7904,
117,
151,
119,
24880,
117,
1105,
163,
119,
15821,
117,
107,
143,
1186,
118,
16408,
1116,
131,
138,
10335,
12783,
118,
1359,
2699,
1449,
1111,
1103,
7210,
1104,
1614,
117,
107,
1107,
20661,
1104,
1103,
5617
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"of",
"the",
"14th",
"IEEE",
"##A",
"##nn",
"##ual",
"Consumer",
"Communications",
"&",
"Network",
"##ing",
"Conference",
"(",
"CC",
"##NC",
")",
",",
"2017",
",",
"2017",
",",
"pp",
".",
"100",
"##6",
"β",
"100",
"##7",
".",
"[",
"5",
"]",
"J",
".",
"-",
"H",
".",
"Lee",
"and",
"H",
".",
"Kim",
",",
"\"",
"Security",
"and",
"privacy",
"challenges",
"in",
"the",
"internet",
"##of",
"things",
"[",
"security",
"and",
"privacy",
"matters",
"]",
",",
"\"",
"IEEE",
"Consumer",
"Electronics",
"##M",
"##aga",
"##zine",
",",
"vol",
".",
"6",
",",
"no",
".",
"3",
",",
"pp",
".",
"134",
"β",
"136",
",",
"2017",
".",
"[",
"6",
"]",
"D",
".",
"Put",
"##hal",
",",
"S",
".",
"Nepal",
",",
"R",
".",
"Ra",
"##nja",
"##n",
",",
"and",
"J",
".",
"Chen",
",",
"\"",
"DL",
"##S",
"##e",
"##F",
":",
"A",
"dynamic",
"key",
"-",
"length",
"-",
"based",
"efficient",
"real",
"-",
"time",
"security",
"ve",
"##rification",
"model",
"for",
"big",
"data",
"##stream",
",",
"\"",
"AC",
"##M",
"Trans",
"##actions",
"on",
"Em",
"##bed",
"##ded",
"Computing",
"Systems",
"(",
"T",
"##EC",
"##S",
")",
",",
"vol",
".",
"16",
",",
"no",
".",
"2",
",",
"p",
".",
"51",
",",
"2017",
".",
"Part",
"##ici",
"##pan",
"##t",
"β",
"4",
"Part",
"##ici",
"##pan",
"##t",
"β",
"1",
"Part",
"##ici",
"##pan",
"##t",
"β",
"3",
"##P",
"##art",
"##ici",
"##pan",
"##t",
"β",
"2",
"Part",
"##ici",
"##pan",
"##t",
"β",
"5",
"MI",
"##NE",
"##R",
"##MI",
"##NE",
"##R",
"Figure",
"7",
".",
"Block",
"processing",
"with",
"transactions",
"and",
"has",
"##hing",
".",
"[",
"7",
"]",
"D",
".",
"Put",
"##hal",
",",
"N",
".",
"Malik",
",",
"S",
".",
"P",
".",
"Mohan",
"##ty",
",",
"E",
".",
"Ko",
"##ug",
"##iano",
"##s",
",",
"and",
"C",
".",
"Yang",
",",
"\"",
"The",
"##block",
"##cha",
"##in",
"as",
"a",
"decent",
"##ral",
"##ized",
"security",
"framework",
",",
"\"",
"IEEE",
"Consumer",
"##E",
"##lect",
"##ronic",
"##s",
"Magazine",
",",
"vol",
".",
"7",
",",
"no",
".",
"2",
",",
"pp",
".",
"18",
"β",
"21",
",",
"2018",
".",
"[",
"8",
"]",
"D",
".",
"Put",
"##hal",
",",
"N",
".",
"Malik",
",",
"S",
".",
"P",
".",
"Mohan",
"##ty",
",",
"E",
".",
"Ko",
"##ug",
"##iano",
"##s",
",",
"and",
"G",
".",
"Das",
",",
"\"",
"Everything",
"You",
"Wanted",
"to",
"Know",
"About",
"the",
"Block",
"##cha",
"##in",
":",
"Its",
"Promise",
",",
"Co",
"##mpo",
"##nent",
"##s",
",",
"Process",
"##es",
",",
"and",
"Problems",
",",
"\"",
"IEEE",
"Consumer",
"Electronics",
"##M",
"##aga",
"##zine",
",",
"vol",
".",
"7",
",",
"no",
".",
"4",
",",
"pp",
".",
"6",
"β",
"14",
",",
"2018",
".",
"[",
"9",
"]",
"D",
".",
"Put",
"##hal",
"and",
"S",
".",
"P",
".",
"Mohan",
"##ty",
",",
"\"",
"Pro",
"##of",
"of",
"Au",
"##the",
"##nti",
"##cation",
":",
"I",
"##o",
"##T",
"-",
"friendly",
"Block",
"##cha",
"##ins",
",",
"\"",
"IEEE",
"Po",
"##ten",
"##tial",
"##s",
",",
"vol",
".",
"38",
",",
"no",
".",
"1",
",",
"2019",
".",
"[",
"10",
"]",
"N",
".",
"K",
"##she",
"##tri",
",",
"\"",
"Can",
"block",
"##cha",
"##in",
"strengthen",
"the",
"internet",
"of",
"things",
"?",
"\"",
"IT",
"Professional",
",",
"vol",
".",
"19",
",",
"no",
".",
"4",
",",
"pp",
".",
"68",
"β",
"72",
",",
"2017",
".",
"[",
"11",
"]",
"S",
".",
"Al",
"##har",
"##bi",
",",
"P",
".",
"Rodriguez",
",",
"R",
".",
"Maharaja",
",",
"P",
".",
"I",
"##yer",
",",
"N",
".",
"Bose",
",",
"and",
"Z",
".",
"Ye",
",",
"\"",
"F",
"##o",
"-",
"cu",
"##s",
":",
"A",
"fog",
"computing",
"-",
"based",
"security",
"system",
"for",
"the",
"internet",
"of",
"things",
",",
"\"",
"in",
"Proceedings",
"of",
"the",
"15th"
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 626 |
individual network
pa | [
16206,
8451,
17122,
6345,
111,
3998,
1158,
3047,
113,
21362,
15517,
114,
117,
1857,
117,
4329,
119,
122,
782,
126,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"IEEE",
"Annual",
"Consumer",
"Communications",
"&",
"Network",
"##ing",
"Conference",
"(",
"CC",
"##NC",
")",
",",
"2018",
",",
"pp",
".",
"1",
"β",
"5",
"."
] | Proof of Authentication for Scalable Blockchain in Resource Constrained Distributed Systems | 627 |
NEM
Technical Reference
Version 1.2.1
February 23, 2018
Contents
Preface iii
1 Introduction 1
2 Accounts and Addresses 2
2.1 Account state . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2.2 NEM addresses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.3 Converting a public key into an address . . . . . . . . . . . . . . . . . . . . 4
2.4 Intentional address collision . . . . . . . . . . . . . . . . . . . . . . . . . . 6
3 Cryptography 7
3.1 Private and | [
26546,
2107,
6846,
19714,
8812,
122,
119,
123,
119,
122,
1428,
1695,
117,
1857,
27551,
1116,
11689,
10931,
25550,
1182,
122,
13813,
122,
123,
138,
14566,
17430,
1105,
24930,
18380,
1279,
123,
123,
119,
122,
138,
14566,
8355,
1352,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
123,
123,
119,
123,
26546,
2107,
11869,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
124,
123,
119,
124,
16752,
12986,
1158,
170,
1470,
2501,
1154,
1126,
4134,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
125,
123,
119,
125,
1130,
5208,
15937,
4134,
13213,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
127,
124,
15586,
6451,
9543,
128,
124,
119,
122,
7219,
1105,
1470,
2501,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
128,
124,
119,
123,
20979,
1158,
1105,
1396,
12231,
1104,
170,
8250,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
129,
124,
119,
124,
13832,
2528,
3408,
1105,
1260,
2528,
3408,
7416,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
129,
125,
13809,
22946,
1275,
125,
119,
122,
23489,
14409,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1275,
125,
119,
123,
146,
24729,
16242,
3633,
4036,
14409,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1429,
125,
119,
123,
119,
122,
2173,
19012,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1429,
125,
119,
123,
119,
123,
3177,
11179,
19012,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1429,
125,
119,
124,
18447,
5053,
1403,
2272,
13618,
3322,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1429,
125,
119,
124,
119,
122,
138,
9705,
1874,
4948,
15156,
14409,
113,
4321,
5053,
1403,
15156,
114,
119,
119,
119,
119,
1367,
125,
119,
124,
119,
123,
18447,
5053,
1403,
8250
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"NE",
"##M",
"Technical",
"Reference",
"Version",
"1",
".",
"2",
".",
"1",
"February",
"23",
",",
"2018",
"Content",
"##s",
"Pre",
"##face",
"ii",
"##i",
"1",
"Introduction",
"1",
"2",
"A",
"##cco",
"##unts",
"and",
"Ad",
"##dress",
"##es",
"2",
"2",
".",
"1",
"A",
"##cco",
"##unt",
"state",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"2",
"2",
".",
"2",
"NE",
"##M",
"addresses",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"3",
"2",
".",
"3",
"Con",
"##vert",
"##ing",
"a",
"public",
"key",
"into",
"an",
"address",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"4",
"2",
".",
"4",
"In",
"##ten",
"##tional",
"address",
"collision",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"6",
"3",
"Cry",
"##pt",
"##ography",
"7",
"3",
".",
"1",
"Private",
"and",
"public",
"key",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"7",
"3",
".",
"2",
"Sign",
"##ing",
"and",
"ve",
"##rification",
"of",
"a",
"signature",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"8",
"3",
".",
"3",
"En",
"##co",
"##ding",
"and",
"de",
"##co",
"##ding",
"messages",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"8",
"4",
"Trans",
"##actions",
"10",
"4",
".",
"1",
"Transfer",
"transactions",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"10",
"4",
".",
"2",
"I",
"##mpo",
"##rta",
"##nce",
"transfer",
"transactions",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"11",
"4",
".",
"2",
".",
"1",
"Act",
"##ivating",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"11",
"4",
".",
"2",
".",
"2",
"De",
"##act",
"##ivating",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"11",
"4",
".",
"3",
"Multi",
"##si",
"##g",
"related",
"transaction",
"types",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"11",
"4",
".",
"3",
".",
"1",
"A",
"##gg",
"##re",
"##gate",
"modification",
"transactions",
"(",
"multi",
"##si",
"##g",
"modification",
")",
".",
".",
".",
".",
"12",
"4",
".",
"3",
".",
"2",
"Multi",
"##si",
"##g",
"signature"
] | NEM White paper | 628 |
public key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.2 Signing and verification of a signature . . . . . . . . . . . . . . . . . . . . . 8
3.3 Encoding and decoding messages . . . . . . . . . . . . . . . . . . . . . . . 8
4 Transactions 10
4.1 Transfer transactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.2 Importance transfer transactions . . . . . . . . . . . . . . . . . . . . . . . . 11
4.2.1 Activating . . . . . . . . . . . . . . . . . . . . . . . . . . . | [
14409,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1367,
125,
119,
124,
119,
124,
18447,
5053,
1403,
14409,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1492,
125,
119,
125,
12118,
7235,
22750,
14409,
113,
22620,
1306,
12123,
114,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1492,
126,
8093,
1116,
1105,
1103,
3510,
4129,
1479,
126,
119,
122,
8093,
7262,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1479,
126,
119,
123,
8093,
2794,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1407,
126,
119,
124,
8093,
3707,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1407,
126,
119,
125,
8093,
4129,
188,
27250,
8167,
11153,
8569,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1627,
127,
138,
5244,
1449,
1111,
15029,
1626,
127,
119,
122,
1302,
2007,
10393,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1626,
127,
119,
123,
5328,
3496,
2860,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1626,
127,
119,
124,
138,
9705,
1874,
18401,
1469,
3496,
4718,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1659,
127,
119,
125,
13832,
3822,
4869,
1103,
9932,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1695,
127,
119,
126,
3096,
11470,
6439,
1104,
1103,
5244,
1449,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1572,
128,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
1744,
128,
119,
122,
12224,
5389,
5474,
1111,
13832,
9930,
1103,
146,
24729,
16242,
3633,
11917,
21608,
2116,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1744,
128,
119,
123,
1109,
1149,
13255,
8952,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"transactions",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"12",
"4",
".",
"3",
".",
"3",
"Multi",
"##si",
"##g",
"transactions",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"13",
"4",
".",
"4",
"Un",
"##con",
"##firmed",
"transactions",
"(",
"spa",
"##m",
"filter",
")",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"13",
"5",
"Block",
"##s",
"and",
"the",
"block",
"chain",
"16",
"5",
".",
"1",
"Block",
"difficulty",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"16",
"5",
".",
"2",
"Block",
"score",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"18",
"5",
".",
"3",
"Block",
"creation",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"18",
"5",
".",
"4",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"19",
"6",
"A",
"reputation",
"system",
"for",
"nodes",
"21",
"6",
".",
"1",
"No",
"##de",
"interactions",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"21",
"6",
".",
"2",
"Local",
"trust",
"value",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"21",
"6",
".",
"3",
"A",
"##gg",
"##re",
"##gating",
"local",
"trust",
"values",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"22",
"6",
".",
"4",
"En",
"##han",
"##cing",
"the",
"algorithm",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"23",
"6",
".",
"5",
"Ben",
"##ef",
"##its",
"of",
"the",
"reputation",
"system",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"24",
"7",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
"26",
"7",
".",
"1",
"Eli",
"##gi",
"##bility",
"for",
"En",
"##tering",
"the",
"I",
"##mpo",
"##rta",
"##nce",
"Cal",
"##cula",
"##tion",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"26",
"7",
".",
"2",
"The",
"out",
"##link",
"matrix",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"."
] | NEM White paper | 629 |
public key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.2 Signing and verification of a signature . . . . . . . . . . . . . . . . . . . . . 8
3.3 Encoding and decoding messages . . . . . . . . . . . . . . . . . . . . . . . 8
4 Transactions 10
4.1 Transfer transactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.2 Importance transfer transactions . . . . . . . . . . . . . . . . . . . . . . . . 11
4.2.1 Activating . . . . . . . . . . . . . . . . . . . . . . . . . . . | [
14409,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1367,
125,
119,
124,
119,
124,
18447,
5053,
1403,
14409,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1492,
125,
119,
125,
12118,
7235,
22750,
14409,
113,
22620,
1306,
12123,
114,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1492,
126,
8093,
1116,
1105,
1103,
3510,
4129,
1479,
126,
119,
122,
8093,
7262,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1479,
126,
119,
123,
8093,
2794,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1407,
126,
119,
124,
8093,
3707,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1407,
126,
119,
125,
8093,
4129,
188,
27250,
8167,
11153,
8569,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1627,
127,
138,
5244,
1449,
1111,
15029,
1626,
127,
119,
122,
1302,
2007,
10393,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1626,
127,
119,
123,
5328,
3496,
2860,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1626,
127,
119,
124,
138,
9705,
1874,
18401,
1469,
3496,
4718,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1659,
127,
119,
125,
13832,
3822,
4869,
1103,
9932,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1695,
127,
119,
126,
3096,
11470,
6439,
1104,
1103,
5244,
1449,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1572,
128,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
1744,
128,
119,
122,
12224,
5389,
5474,
1111,
13832,
9930,
1103,
146,
24729,
16242,
3633,
11917,
21608,
2116,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1744,
128,
119,
123,
1109,
1149,
13255,
8952,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"transactions",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"12",
"4",
".",
"3",
".",
"3",
"Multi",
"##si",
"##g",
"transactions",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"13",
"4",
".",
"4",
"Un",
"##con",
"##firmed",
"transactions",
"(",
"spa",
"##m",
"filter",
")",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"13",
"5",
"Block",
"##s",
"and",
"the",
"block",
"chain",
"16",
"5",
".",
"1",
"Block",
"difficulty",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"16",
"5",
".",
"2",
"Block",
"score",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"18",
"5",
".",
"3",
"Block",
"creation",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"18",
"5",
".",
"4",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"19",
"6",
"A",
"reputation",
"system",
"for",
"nodes",
"21",
"6",
".",
"1",
"No",
"##de",
"interactions",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"21",
"6",
".",
"2",
"Local",
"trust",
"value",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"21",
"6",
".",
"3",
"A",
"##gg",
"##re",
"##gating",
"local",
"trust",
"values",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"22",
"6",
".",
"4",
"En",
"##han",
"##cing",
"the",
"algorithm",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"23",
"6",
".",
"5",
"Ben",
"##ef",
"##its",
"of",
"the",
"reputation",
"system",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"24",
"7",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
"26",
"7",
".",
"1",
"Eli",
"##gi",
"##bility",
"for",
"En",
"##tering",
"the",
"I",
"##mpo",
"##rta",
"##nce",
"Cal",
"##cula",
"##tion",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"26",
"7",
".",
"2",
"The",
"out",
"##link",
"matrix",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"."
] | NEM White paper | 630 |
. . . . . 11
4.2.2 Deactivating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
4.3 Multisig related transaction types . . . . . . . . . . . . . . . . . . . . . . . 11
4.3.1 Aggregate modification transactions (multisig modification) . . . . 12
4.3.2 Multisig signature transactions . . . . . . . . . . . . . . . . . . . . 12
4.3.3 Multisig transactions . . . . . . . . . . . . . . . . . . . . . . . . . . 13
4.4 Unconfirmed transactions (spam filter) . . . . . . . . . . . . . . . . . . . | [
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1765,
128,
119,
124,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1476,
128,
119,
125,
140,
23225,
1158,
1103,
13618,
10873,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
2724,
128,
119,
126,
11917,
21608,
1916,
146,
24729,
16242,
3633,
18417,
1116,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3236,
128,
119,
127,
15598,
1106,
2268,
9717,
6856,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
2588,
128,
119,
127,
119,
122,
156,
1183,
15197,
13704,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
2588,
128,
119,
127,
119,
123,
18086,
13704,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3413,
128,
119,
128,
4302,
118,
1120,
118,
1457,
9899,
21710,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3614,
128,
119,
129,
3291,
8223,
10832,
4495,
1106,
8219,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3614,
129,
2614,
188,
27250,
8167,
11153,
8569,
3140,
129,
119,
122,
26532,
8025,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3140,
129,
119,
123,
138,
8661,
15318,
19690,
1106,
5782,
2213,
2233,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
2532,
129,
119,
124,
11917,
21608,
2116,
1104,
1103,
3903,
18134,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3993,
129,
119,
125,
3291,
4455,
1979,
1105,
11810,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3862,
130,
3998,
3927,
130,
119,
122,
1302,
2007,
17580,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"27",
"7",
".",
"3",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"30",
"7",
".",
"4",
"C",
"##luster",
"##ing",
"the",
"transaction",
"graph",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"32",
"7",
".",
"5",
"Cal",
"##cula",
"##ting",
"I",
"##mpo",
"##rta",
"##nce",
"Score",
"##s",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"34",
"7",
".",
"6",
"Resistance",
"to",
"Man",
"##ip",
"##ulation",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"35",
"7",
".",
"6",
".",
"1",
"S",
"##y",
"##bil",
"Attack",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"35",
"7",
".",
"6",
".",
"2",
"Loop",
"Attack",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"37",
"7",
".",
"7",
"Nothing",
"-",
"at",
"-",
"St",
"##ake",
"Problem",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"39",
"7",
".",
"8",
"Co",
"##mp",
"##aring",
"importance",
"to",
"stake",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"39",
"8",
"Time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"44",
"8",
".",
"1",
"Gathering",
"samples",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"44",
"8",
".",
"2",
"A",
"##pp",
"##lying",
"filters",
"to",
"remove",
"bad",
"data",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"45",
"8",
".",
"3",
"Cal",
"##cula",
"##tion",
"of",
"the",
"effective",
"offset",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"46",
"8",
".",
"4",
"Co",
"##up",
"##ling",
"and",
"threshold",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"47",
"9",
"Network",
"49",
"9",
".",
"1",
"No",
"##de",
"Protocol",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"."
] | NEM White paper | 631 |
. . . . . 11
4.2.2 Deactivating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
4.3 Multisig related transaction types . . . . . . . . . . . . . . . . . . . . . . . 11
4.3.1 Aggregate modification transactions (multisig modification) . . . . 12
4.3.2 Multisig signature transactions . . . . . . . . . . . . . . . . . . . . 12
4.3.3 Multisig transactions . . . . . . . . . . . . . . . . . . . . . . . . . . 13
4.4 Unconfirmed transactions (spam filter) . . . . . . . . . . . . . . . . . . . | [
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1765,
128,
119,
124,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1476,
128,
119,
125,
140,
23225,
1158,
1103,
13618,
10873,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
2724,
128,
119,
126,
11917,
21608,
1916,
146,
24729,
16242,
3633,
18417,
1116,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3236,
128,
119,
127,
15598,
1106,
2268,
9717,
6856,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
2588,
128,
119,
127,
119,
122,
156,
1183,
15197,
13704,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
2588,
128,
119,
127,
119,
123,
18086,
13704,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3413,
128,
119,
128,
4302,
118,
1120,
118,
1457,
9899,
21710,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3614,
128,
119,
129,
3291,
8223,
10832,
4495,
1106,
8219,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3614,
129,
2614,
188,
27250,
8167,
11153,
8569,
3140,
129,
119,
122,
26532,
8025,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3140,
129,
119,
123,
138,
8661,
15318,
19690,
1106,
5782,
2213,
2233,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
2532,
129,
119,
124,
11917,
21608,
2116,
1104,
1103,
3903,
18134,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3993,
129,
119,
125,
3291,
4455,
1979,
1105,
11810,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
3862,
130,
3998,
3927,
130,
119,
122,
1302,
2007,
17580,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"27",
"7",
".",
"3",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"30",
"7",
".",
"4",
"C",
"##luster",
"##ing",
"the",
"transaction",
"graph",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"32",
"7",
".",
"5",
"Cal",
"##cula",
"##ting",
"I",
"##mpo",
"##rta",
"##nce",
"Score",
"##s",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"34",
"7",
".",
"6",
"Resistance",
"to",
"Man",
"##ip",
"##ulation",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"35",
"7",
".",
"6",
".",
"1",
"S",
"##y",
"##bil",
"Attack",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"35",
"7",
".",
"6",
".",
"2",
"Loop",
"Attack",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"37",
"7",
".",
"7",
"Nothing",
"-",
"at",
"-",
"St",
"##ake",
"Problem",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"39",
"7",
".",
"8",
"Co",
"##mp",
"##aring",
"importance",
"to",
"stake",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"39",
"8",
"Time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"44",
"8",
".",
"1",
"Gathering",
"samples",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"44",
"8",
".",
"2",
"A",
"##pp",
"##lying",
"filters",
"to",
"remove",
"bad",
"data",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"45",
"8",
".",
"3",
"Cal",
"##cula",
"##tion",
"of",
"the",
"effective",
"offset",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"46",
"8",
".",
"4",
"Co",
"##up",
"##ling",
"and",
"threshold",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"47",
"9",
"Network",
"49",
"9",
".",
"1",
"No",
"##de",
"Protocol",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"."
] | NEM White paper | 632 |
. 13
5 Blocks and the block chain 16
5.1 Block difficulty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
5.2 Block score . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5.3 Block creation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5.4 Block chain synchronization . . . . . . . . . . . . . . . . . . . . . . . . . . 19
6 A reputation system for nodes 21
6.1 Node interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . | [
119,
119,
119,
119,
119,
119,
3927,
130,
119,
123,
1302,
2007,
15599,
4455,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1851,
130,
119,
124,
1302,
2007,
11250,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1851,
130,
119,
124,
119,
122,
5083,
6094,
3633,
1880,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1851,
130,
119,
124,
119,
123,
11336,
2087,
21298,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
4062,
130,
119,
125,
1302,
2007,
20045,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
4062,
11689,
10931,
107,
1192,
5529,
1620,
110,
1104,
1103,
6981,
1128,
1274,
112,
189,
1321,
119,
107,
118,
5489,
144,
8127,
1584,
3781,
26546,
2107,
1110,
170,
2230,
1115,
8469,
1106,
9712,
9447,
2833,
1118,
3780,
170,
1207,
4190,
1359,
1113,
1103,
6551,
1104,
11858,
4412,
2734,
117,
2798,
4438,
117,
1105,
11986,
1104,
3767,
119,
1284,
1156,
1176,
1106,
6243,
1103,
19492,
1105,
1103,
1242,
1234,
1150,
1138,
3768,
1366,
119,
119,
119,
17921,
2069,
9753,
1663,
176,
4060,
1874,
21694,
1568,
1545,
17600,
7085,
27710,
122,
13813,
107,
1124,
112,
173,
1474,
19082,
1105,
8698,
1471,
117,
1133,
1211,
1104,
1103,
11771,
1454,
170,
16814,
3811,
117,
12714,
1152,
1577,
112,
189,
2100,
1140,
117,
1137,
5698,
1268,
1194,
1140,
119,
107,
118,
11679,
25192,
1182,
19569,
16971,
11787,
151,
142,
2107,
117,
1107,
1157,
1211,
3501,
1532,
117,
1110,
170,
5354,
6451,
1186,
10202,
1115,
1110,
1434,
1113,
3510,
4129,
2815,
119,
1109,
26546,
2107,
3510,
4129,
1110,
1126,
8331,
1113,
3685,
3510,
4129,
7951,
119,
1135,
18831,
1116,
8550,
1121,
1168,
5354,
6451,
13335,
2149,
5123,
9805,
113,
174,
119,
176,
119,
27400,
2528,
1394,
114,
1105,
3397,
1844,
1107,
2443,
2749,
119,
26546,
2107,
112,
188,
2425,
6436,
1106,
1103,
5354,
6451,
1186,
10202,
5882,
1110,
170,
1207,
10923,
1143,
1732,
118,
1126,
1863,
1270,
5096,
10008,
1104,
146,
24729,
16242,
3633,
113,
18959,
2240,
114,
119,
5472,
5096,
10008,
1104,
6955,
113,
18959,
2924,
114,
117,
1122,
1110,
4035,
25740,
1320,
2354,
118,
24912,
10940,
1105,
1674,
1136,
4752,
1415,
3418,
12783,
3979,
1107,
1679,
12924,
21028,
119,
18959,
2240,
1110,
1861,
1106,
5096,
10008,
1104,
1457,
9899,
113,
18959,
1708,
114,
2589,
1115,
1122,
1110,
1136,
9308,
4408,
1121,
1103,
2060,
1104,
1126,
3300,
112,
188,
5233,
119,
1135,
12560,
1168,
16711,
1115
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
9,
10,
10,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
9,
10,
10,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
".",
".",
".",
".",
".",
"49",
"9",
".",
"2",
"No",
"##de",
"Start",
"##up",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"50",
"9",
".",
"3",
"No",
"##de",
"Discovery",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"50",
"9",
".",
"3",
".",
"1",
"Ann",
"##ou",
"##nce",
"##ment",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"50",
"9",
".",
"3",
".",
"2",
"Re",
"##f",
"##resh",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"51",
"9",
".",
"4",
"No",
"##de",
"Selection",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"51",
"Pre",
"##face",
"\"",
"You",
"miss",
"100",
"%",
"of",
"the",
"shots",
"you",
"don",
"'",
"t",
"take",
".",
"\"",
"-",
"Wayne",
"G",
"##ret",
"##z",
"##ky",
"NE",
"##M",
"is",
"a",
"movement",
"that",
"aims",
"to",
"em",
"##power",
"individuals",
"by",
"creating",
"a",
"new",
"economy",
"based",
"on",
"the",
"principles",
"of",
"decent",
"##ral",
"##ization",
",",
"financial",
"freedom",
",",
"and",
"equality",
"of",
"opportunity",
".",
"We",
"would",
"like",
"to",
"thank",
"the",
"contributors",
"and",
"the",
"many",
"people",
"who",
"have",
"inspired",
"us",
".",
".",
".",
"Bloody",
"##R",
"##ook",
"##ie",
"g",
"##im",
"##re",
"Jaguar",
"##0",
"##6",
"##25",
"Ma",
"##koto",
"1",
"Introduction",
"\"",
"He",
"'",
"d",
"say",
"hello",
"and",
"introduce",
"himself",
",",
"but",
"most",
"of",
"the",
"cats",
"turned",
"a",
"deaf",
"ear",
",",
"pretending",
"they",
"couldn",
"'",
"t",
"hear",
"him",
",",
"or",
"stare",
"right",
"through",
"him",
".",
"\"",
"-",
"Ha",
"##ruk",
"##i",
"Mu",
"##rak",
"##ami",
"N",
"E",
"##M",
",",
"in",
"its",
"most",
"basic",
"form",
",",
"is",
"a",
"cry",
"##pt",
"##o",
"currency",
"that",
"is",
"built",
"on",
"block",
"chain",
"technology",
".",
"The",
"NE",
"##M",
"block",
"chain",
"is",
"an",
"improvement",
"on",
"existing",
"block",
"chain",
"technologies",
".",
"It",
"integrate",
"##s",
"concepts",
"from",
"other",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cies",
"(",
"e",
".",
"g",
".",
"Bit",
"##co",
"##in",
")",
"and",
"academic",
"research",
"in",
"network",
"theory",
".",
"NE",
"##M",
"'",
"s",
"primary",
"contribution",
"to",
"the",
"cry",
"##pt",
"##o",
"currency",
"landscape",
"is",
"a",
"new",
"consensus",
"me",
"##ch",
"-",
"an",
"##ism",
"called",
"Pro",
"##of",
"of",
"I",
"##mpo",
"##rta",
"##nce",
"(",
"Po",
"##I",
")",
".",
"Unlike",
"Pro",
"##of",
"of",
"Work",
"(",
"Po",
"##W",
")",
",",
"it",
"is",
"en",
"##vir",
"##on",
"##men",
"-",
"tally",
"sustainable",
"and",
"does",
"not",
"require",
"large",
"scale",
"computing",
"resources",
"in",
"per",
"##pet",
"##uity",
".",
"Po",
"##I",
"is",
"similar",
"to",
"Pro",
"##of",
"of",
"St",
"##ake",
"(",
"Po",
"##S",
")",
"except",
"that",
"it",
"is",
"not",
"solely",
"derived",
"from",
"the",
"size",
"of",
"an",
"account",
"'",
"s",
"balance",
".",
"It",
"incorporates",
"other",
"behaviors",
"that"
] | NEM White paper | 633 |
. 13
5 Blocks and the block chain 16
5.1 Block difficulty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
5.2 Block score . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5.3 Block creation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5.4 Block chain synchronization . . . . . . . . . . . . . . . . . . . . . . . . . . 19
6 A reputation system for nodes 21
6.1 Node interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . | [
119,
119,
119,
119,
119,
119,
3927,
130,
119,
123,
1302,
2007,
15599,
4455,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1851,
130,
119,
124,
1302,
2007,
11250,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1851,
130,
119,
124,
119,
122,
5083,
6094,
3633,
1880,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
1851,
130,
119,
124,
119,
123,
11336,
2087,
21298,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
4062,
130,
119,
125,
1302,
2007,
20045,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
4062,
11689,
10931,
107,
1192,
5529,
1620,
110,
1104,
1103,
6981,
1128,
1274,
112,
189,
1321,
119,
107,
118,
5489,
144,
8127,
1584,
3781,
26546,
2107,
1110,
170,
2230,
1115,
8469,
1106,
9712,
9447,
2833,
1118,
3780,
170,
1207,
4190,
1359,
1113,
1103,
6551,
1104,
11858,
4412,
2734,
117,
2798,
4438,
117,
1105,
11986,
1104,
3767,
119,
1284,
1156,
1176,
1106,
6243,
1103,
19492,
1105,
1103,
1242,
1234,
1150,
1138,
3768,
1366,
119,
119,
119,
17921,
2069,
9753,
1663,
176,
4060,
1874,
21694,
1568,
1545,
17600,
7085,
27710,
122,
13813,
107,
1124,
112,
173,
1474,
19082,
1105,
8698,
1471,
117,
1133,
1211,
1104,
1103,
11771,
1454,
170,
16814,
3811,
117,
12714,
1152,
1577,
112,
189,
2100,
1140,
117,
1137,
5698,
1268,
1194,
1140,
119,
107,
118,
11679,
25192,
1182,
19569,
16971,
11787,
151,
142,
2107,
117,
1107,
1157,
1211,
3501,
1532,
117,
1110,
170,
5354,
6451,
1186,
10202,
1115,
1110,
1434,
1113,
3510,
4129,
2815,
119,
1109,
26546,
2107,
3510,
4129,
1110,
1126,
8331,
1113,
3685,
3510,
4129,
7951,
119,
1135,
18831,
1116,
8550,
1121,
1168,
5354,
6451,
13335,
2149,
5123,
9805,
113,
174,
119,
176,
119,
27400,
2528,
1394,
114,
1105,
3397,
1844,
1107,
2443,
2749,
119,
26546,
2107,
112,
188,
2425,
6436,
1106,
1103,
5354,
6451,
1186,
10202,
5882,
1110,
170,
1207,
10923,
1143,
1732,
118,
1126,
1863,
1270,
5096,
10008,
1104,
146,
24729,
16242,
3633,
113,
18959,
2240,
114,
119,
5472,
5096,
10008,
1104,
6955,
113,
18959,
2924,
114,
117,
1122,
1110,
4035,
25740,
1320,
2354,
118,
24912,
10940,
1105,
1674,
1136,
4752,
1415,
3418,
12783,
3979,
1107,
1679,
12924,
21028,
119,
18959,
2240,
1110,
1861,
1106,
5096,
10008,
1104,
1457,
9899,
113,
18959,
1708,
114,
2589,
1115,
1122,
1110,
1136,
9308,
4408,
1121,
1103,
2060,
1104,
1126,
3300,
112,
188,
5233,
119,
1135,
12560,
1168,
16711,
1115
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
".",
".",
".",
".",
".",
"49",
"9",
".",
"2",
"No",
"##de",
"Start",
"##up",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"50",
"9",
".",
"3",
"No",
"##de",
"Discovery",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"50",
"9",
".",
"3",
".",
"1",
"Ann",
"##ou",
"##nce",
"##ment",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"50",
"9",
".",
"3",
".",
"2",
"Re",
"##f",
"##resh",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"51",
"9",
".",
"4",
"No",
"##de",
"Selection",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"51",
"Pre",
"##face",
"\"",
"You",
"miss",
"100",
"%",
"of",
"the",
"shots",
"you",
"don",
"'",
"t",
"take",
".",
"\"",
"-",
"Wayne",
"G",
"##ret",
"##z",
"##ky",
"NE",
"##M",
"is",
"a",
"movement",
"that",
"aims",
"to",
"em",
"##power",
"individuals",
"by",
"creating",
"a",
"new",
"economy",
"based",
"on",
"the",
"principles",
"of",
"decent",
"##ral",
"##ization",
",",
"financial",
"freedom",
",",
"and",
"equality",
"of",
"opportunity",
".",
"We",
"would",
"like",
"to",
"thank",
"the",
"contributors",
"and",
"the",
"many",
"people",
"who",
"have",
"inspired",
"us",
".",
".",
".",
"Bloody",
"##R",
"##ook",
"##ie",
"g",
"##im",
"##re",
"Jaguar",
"##0",
"##6",
"##25",
"Ma",
"##koto",
"1",
"Introduction",
"\"",
"He",
"'",
"d",
"say",
"hello",
"and",
"introduce",
"himself",
",",
"but",
"most",
"of",
"the",
"cats",
"turned",
"a",
"deaf",
"ear",
",",
"pretending",
"they",
"couldn",
"'",
"t",
"hear",
"him",
",",
"or",
"stare",
"right",
"through",
"him",
".",
"\"",
"-",
"Ha",
"##ruk",
"##i",
"Mu",
"##rak",
"##ami",
"N",
"E",
"##M",
",",
"in",
"its",
"most",
"basic",
"form",
",",
"is",
"a",
"cry",
"##pt",
"##o",
"currency",
"that",
"is",
"built",
"on",
"block",
"chain",
"technology",
".",
"The",
"NE",
"##M",
"block",
"chain",
"is",
"an",
"improvement",
"on",
"existing",
"block",
"chain",
"technologies",
".",
"It",
"integrate",
"##s",
"concepts",
"from",
"other",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cies",
"(",
"e",
".",
"g",
".",
"Bit",
"##co",
"##in",
")",
"and",
"academic",
"research",
"in",
"network",
"theory",
".",
"NE",
"##M",
"'",
"s",
"primary",
"contribution",
"to",
"the",
"cry",
"##pt",
"##o",
"currency",
"landscape",
"is",
"a",
"new",
"consensus",
"me",
"##ch",
"-",
"an",
"##ism",
"called",
"Pro",
"##of",
"of",
"I",
"##mpo",
"##rta",
"##nce",
"(",
"Po",
"##I",
")",
".",
"Unlike",
"Pro",
"##of",
"of",
"Work",
"(",
"Po",
"##W",
")",
",",
"it",
"is",
"en",
"##vir",
"##on",
"##men",
"-",
"tally",
"sustainable",
"and",
"does",
"not",
"require",
"large",
"scale",
"computing",
"resources",
"in",
"per",
"##pet",
"##uity",
".",
"Po",
"##I",
"is",
"similar",
"to",
"Pro",
"##of",
"of",
"St",
"##ake",
"(",
"Po",
"##S",
")",
"except",
"that",
"it",
"is",
"not",
"solely",
"derived",
"from",
"the",
"size",
"of",
"an",
"account",
"'",
"s",
"balance",
".",
"It",
"incorporates",
"other",
"behaviors",
"that"
] | NEM White paper | 634 |
. . . . 21
6.2 Local trust value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
6.3 Aggregating local trust values . . . . . . . . . . . . . . . . . . . . . . . . . 22
6.4 Enhancing the algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
6.5 Benefits of the reputation system . . . . . . . . . . . . . . . . . . . . . . . 24
7 Proof-of-Importance 26
7.1 Eligibility for Entering the Importance Calculation . . . . . . . . . . . . . 26
7.2 The outlink matrix . . . . . . . | [
1132,
2475,
1106,
1129,
3112,
1111,
1103,
16358,
15105,
4190,
119,
1130,
1142,
1236,
117,
1122,
4021,
1106,
10703,
2327,
4190,
6635,
1120,
1103,
11013,
1104,
18040,
3200,
1105,
10660,
5026,
1103,
3987,
2033,
3987,
1200,
2629,
1115,
1110,
17575,
1106,
18959,
1708,
119,
26546,
2107,
112,
188,
4152,
1110,
1106,
1129,
1103,
4686,
1104,
170,
18652,
5354,
6451,
1186,
10202,
19534,
1115,
22663,
2699,
1105,
3496,
2008,
12783,
119,
26546,
2107,
1108,
2536,
1114,
1434,
118,
1107,
1619,
1111,
4321,
5053,
1403,
14409,
1105,
4035,
1665,
1616,
15514,
7416,
119,
5533,
117,
1103,
8536,
118,
1106,
118,
8536,
113,
153,
1477,
2101,
114,
26546,
2107,
2443,
24935,
170,
5847,
1683,
1104,
142,
13417,
2227,
19604,
116,
116,
1106,
6183,
1105,
20220,
1103,
3772,
1104,
12477,
8031,
4179,
15029,
119,
26546,
2107,
1110,
23657,
1105,
1142,
1110,
1198,
1103,
2150,
119,
9999,
17169,
1111,
1167,
1614,
1106,
1435,
119,
8500,
122,
1104,
4335,
123,
138,
14566,
17430,
1105,
24930,
18380,
1279,
107,
1302,
3223,
3411,
1140,
1150,
11869,
1117,
10007,
1106,
1185,
2218,
4104,
119,
107,
118,
8372,
1260,
20018,
3814,
8376,
151,
142,
2107,
2745,
8468,
24021,
7660,
5354,
6451,
9543,
1106,
4989,
25557,
1785,
117,
24738,
1105,
1664,
118,
1231,
16091,
7168,
5474,
1104,
1155,
14409,
119,
2994,
3300,
1110,
170,
2029,
116,
1470,
5316,
17600,
24050,
1580,
2501,
25033,
113,
2237,
124,
131,
15586,
6451,
9543,
114,
1105,
1110,
2628,
1114,
170,
182,
15012,
2165,
1352,
1115,
1110,
8054,
1165,
14409,
1132,
3134,
1118,
1103,
2443,
119,
138,
1665,
118,
10664,
1132,
3626,
1118,
26546,
2107,
11869,
117,
1134,
1132,
4408,
1107,
1226,
1121,
1141,
1236,
17157,
1104,
5316,
17600,
24050,
1580,
1470,
6631,
119,
123,
119,
122,
138,
14566,
8355,
1352,
1109,
1352,
2628,
1114,
1296,
3300,
2075,
1103,
1378,
4454,
131,
794,
3300,
5233,
794,
1295,
1104,
25309,
5511,
113,
1267,
4841,
25461,
126,
119,
124,
131,
8093,
3707,
114,
794,
3976,
1104,
1103,
1148,
13618,
1115,
15780,
1103,
3300,
794,
2190,
1104,
4321,
5053,
1403,
5756,
1105,
2190,
1104,
1884,
19638,
6579,
1905,
113,
1267,
4841,
25461,
125,
119,
124,
131,
18447,
5053,
1403,
2272,
13618,
3322,
114,
794,
1869,
1164,
13715,
1181,
3300,
2781,
113,
1267,
4841,
25461,
125,
119,
123,
131,
146,
24729,
16242,
3633,
4036,
14409,
114,
794,
4495,
1105,
14056,
2137,
4484,
3997,
113,
1267,
2237,
128,
131,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
114,
794,
21531,
1174,
5233,
113,
10268,
1111,
18959,
2240,
1105,
26546,
2107,
2111,
114,
1109,
10311,
5354,
6451,
1186,
10202,
1104,
1103,
26546,
2107,
2443,
1110,
1270,
161,
15577,
119,
2994,
3300,
112,
188,
161,
15577,
5233,
1110,
3325,
1154,
1160,
2192,
131,
21531,
1174,
1105,
8362,
5710,
1906,
119,
20589,
1126,
3300,
7881,
161,
15577,
117,
1103,
1207,
161,
15577,
1132,
1896,
1106,
1103,
3300,
112,
188,
8362,
5710,
1906,
5233,
119,
1332,
1126,
3300,
10130,
161,
15577,
117,
161,
15577,
1116,
1132,
1678,
1121,
1241,
1103,
21531,
1174,
1105,
1103,
8362,
5710,
1906,
5233,
117,
1106,
8983,
1103,
21531,
1174,
1106,
8362,
5710,
1906,
6022,
1475,
119,
5533,
117,
1451
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
1,
0,
0,
21,
22,
22,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
21,
22,
0,
21,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
1,
0,
0,
21,
22,
22,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
21,
22,
0,
21,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"are",
"believed",
"to",
"be",
"positive",
"for",
"the",
"ho",
"##listic",
"economy",
".",
"In",
"this",
"way",
",",
"it",
"attempts",
"to",
"reward",
"active",
"economy",
"participants",
"at",
"the",
"expense",
"of",
"inactive",
"ones",
"and",
"damp",
"##ens",
"the",
"rich",
"getting",
"rich",
"##er",
"effect",
"that",
"is",
"inherent",
"to",
"Po",
"##S",
".",
"NE",
"##M",
"'",
"s",
"vision",
"is",
"to",
"be",
"the",
"foundation",
"of",
"a",
"vibrant",
"cry",
"##pt",
"##o",
"currency",
"ecosystem",
"that",
"emphasizes",
"security",
"and",
"trust",
"##less",
"computing",
".",
"NE",
"##M",
"was",
"launched",
"with",
"built",
"-",
"in",
"support",
"for",
"multi",
"##si",
"##g",
"transactions",
"and",
"en",
"##c",
"##ry",
"##pted",
"messages",
".",
"Additionally",
",",
"the",
"peer",
"-",
"to",
"-",
"peer",
"(",
"P",
"##2",
"##P",
")",
"NE",
"##M",
"network",
"implements",
"a",
"modified",
"version",
"of",
"E",
"##ige",
"##nt",
"##rust",
"+",
"+",
"to",
"identify",
"and",
"minimize",
"the",
"impact",
"of",
"ma",
"##lic",
"##ious",
"nodes",
".",
"NE",
"##M",
"is",
"evolving",
"and",
"this",
"is",
"just",
"the",
"beginning",
".",
"Stay",
"tuned",
"for",
"more",
"things",
"to",
"come",
".",
"Page",
"1",
"of",
"54",
"2",
"A",
"##cco",
"##unts",
"and",
"Ad",
"##dress",
"##es",
"\"",
"No",
"wind",
"serves",
"him",
"who",
"addresses",
"his",
"voyage",
"to",
"no",
"certain",
"port",
".",
"\"",
"-",
"Michel",
"de",
"Mont",
"##ai",
"##gne",
"N",
"E",
"##M",
"uses",
"el",
"##liptic",
"curve",
"cry",
"##pt",
"##ography",
"to",
"ensure",
"confidential",
"##ity",
",",
"authenticity",
"and",
"non",
"-",
"re",
"##pu",
"##dia",
"##bility",
"of",
"all",
"transactions",
".",
"Each",
"account",
"is",
"a",
"private",
"+",
"public",
"Ed",
"##25",
"##51",
"##9",
"key",
"##pair",
"(",
"section",
"3",
":",
"Cry",
"##pt",
"##ography",
")",
"and",
"is",
"associated",
"with",
"a",
"m",
"##uta",
"##ble",
"state",
"that",
"is",
"updated",
"when",
"transactions",
"are",
"accepted",
"by",
"the",
"network",
".",
"A",
"##c",
"-",
"counts",
"are",
"identified",
"by",
"NE",
"##M",
"addresses",
",",
"which",
"are",
"derived",
"in",
"part",
"from",
"one",
"way",
"mutations",
"of",
"Ed",
"##25",
"##51",
"##9",
"public",
"keys",
".",
"2",
".",
"1",
"A",
"##cco",
"##unt",
"state",
"The",
"state",
"associated",
"with",
"each",
"account",
"includes",
"the",
"following",
"items",
":",
"β’",
"account",
"balance",
"β’",
"number",
"of",
"harvested",
"blocks",
"(",
"see",
"sub",
"##section",
"5",
".",
"3",
":",
"Block",
"creation",
")",
"β’",
"height",
"of",
"the",
"first",
"transaction",
"that",
"referenced",
"the",
"account",
"β’",
"list",
"of",
"multi",
"##si",
"##g",
"accounts",
"and",
"list",
"of",
"co",
"##sign",
"##ator",
"##ies",
"(",
"see",
"sub",
"##section",
"4",
".",
"3",
":",
"Multi",
"##si",
"##g",
"related",
"transaction",
"types",
")",
"β’",
"information",
"about",
"delegate",
"##d",
"account",
"status",
"(",
"see",
"sub",
"##section",
"4",
".",
"2",
":",
"I",
"##mpo",
"##rta",
"##nce",
"transfer",
"transactions",
")",
"β’",
"importance",
"and",
"NC",
"##D",
"aware",
"rank",
"(",
"see",
"section",
"7",
":",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
")",
"β’",
"vest",
"##ed",
"balance",
"(",
"crucial",
"for",
"Po",
"##I",
"and",
"NE",
"##M",
"itself",
")",
"The",
"underlying",
"cry",
"##pt",
"##o",
"currency",
"of",
"the",
"NE",
"##M",
"network",
"is",
"called",
"X",
"##EM",
".",
"Each",
"account",
"'",
"s",
"X",
"##EM",
"balance",
"is",
"split",
"into",
"two",
"parts",
":",
"vest",
"##ed",
"and",
"un",
"##ves",
"##ted",
".",
"Whenever",
"an",
"account",
"receives",
"X",
"##EM",
",",
"the",
"new",
"X",
"##EM",
"are",
"added",
"to",
"the",
"account",
"'",
"s",
"un",
"##ves",
"##ted",
"balance",
".",
"When",
"an",
"account",
"sends",
"X",
"##EM",
",",
"X",
"##EM",
"##s",
"are",
"taken",
"from",
"both",
"the",
"vest",
"##ed",
"and",
"the",
"un",
"##ves",
"##ted",
"balance",
",",
"to",
"retain",
"the",
"vest",
"##ed",
"to",
"un",
"##ves",
"##ted",
"ratio",
"##1",
".",
"Additionally",
",",
"every"
] | NEM White paper | 635 |
. . . . 21
6.2 Local trust value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
6.3 Aggregating local trust values . . . . . . . . . . . . . . . . . . . . . . . . . 22
6.4 Enhancing the algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
6.5 Benefits of the reputation system . . . . . . . . . . . . . . . . . . . . . . . 24
7 Proof-of-Importance 26
7.1 Eligibility for Entering the Importance Calculation . . . . . . . . . . . . . 26
7.2 The outlink matrix . . . . . . . | [
1132,
2475,
1106,
1129,
3112,
1111,
1103,
16358,
15105,
4190,
119,
1130,
1142,
1236,
117,
1122,
4021,
1106,
10703,
2327,
4190,
6635,
1120,
1103,
11013,
1104,
18040,
3200,
1105,
10660,
5026,
1103,
3987,
2033,
3987,
1200,
2629,
1115,
1110,
17575,
1106,
18959,
1708,
119,
26546,
2107,
112,
188,
4152,
1110,
1106,
1129,
1103,
4686,
1104,
170,
18652,
5354,
6451,
1186,
10202,
19534,
1115,
22663,
2699,
1105,
3496,
2008,
12783,
119,
26546,
2107,
1108,
2536,
1114,
1434,
118,
1107,
1619,
1111,
4321,
5053,
1403,
14409,
1105,
4035,
1665,
1616,
15514,
7416,
119,
5533,
117,
1103,
8536,
118,
1106,
118,
8536,
113,
153,
1477,
2101,
114,
26546,
2107,
2443,
24935,
170,
5847,
1683,
1104,
142,
13417,
2227,
19604,
116,
116,
1106,
6183,
1105,
20220,
1103,
3772,
1104,
12477,
8031,
4179,
15029,
119,
26546,
2107,
1110,
23657,
1105,
1142,
1110,
1198,
1103,
2150,
119,
9999,
17169,
1111,
1167,
1614,
1106,
1435,
119,
8500,
122,
1104,
4335,
123,
138,
14566,
17430,
1105,
24930,
18380,
1279,
107,
1302,
3223,
3411,
1140,
1150,
11869,
1117,
10007,
1106,
1185,
2218,
4104,
119,
107,
118,
8372,
1260,
20018,
3814,
8376,
151,
142,
2107,
2745,
8468,
24021,
7660,
5354,
6451,
9543,
1106,
4989,
25557,
1785,
117,
24738,
1105,
1664,
118,
1231,
16091,
7168,
5474,
1104,
1155,
14409,
119,
2994,
3300,
1110,
170,
2029,
116,
1470,
5316,
17600,
24050,
1580,
2501,
25033,
113,
2237,
124,
131,
15586,
6451,
9543,
114,
1105,
1110,
2628,
1114,
170,
182,
15012,
2165,
1352,
1115,
1110,
8054,
1165,
14409,
1132,
3134,
1118,
1103,
2443,
119,
138,
1665,
118,
10664,
1132,
3626,
1118,
26546,
2107,
11869,
117,
1134,
1132,
4408,
1107,
1226,
1121,
1141,
1236,
17157,
1104,
5316,
17600,
24050,
1580,
1470,
6631,
119,
123,
119,
122,
138,
14566,
8355,
1352,
1109,
1352,
2628,
1114,
1296,
3300,
2075,
1103,
1378,
4454,
131,
794,
3300,
5233,
794,
1295,
1104,
25309,
5511,
113,
1267,
4841,
25461,
126,
119,
124,
131,
8093,
3707,
114,
794,
3976,
1104,
1103,
1148,
13618,
1115,
15780,
1103,
3300,
794,
2190,
1104,
4321,
5053,
1403,
5756,
1105,
2190,
1104,
1884,
19638,
6579,
1905,
113,
1267,
4841,
25461,
125,
119,
124,
131,
18447,
5053,
1403,
2272,
13618,
3322,
114,
794,
1869,
1164,
13715,
1181,
3300,
2781,
113,
1267,
4841,
25461,
125,
119,
123,
131,
146,
24729,
16242,
3633,
4036,
14409,
114,
794,
4495,
1105,
14056,
2137,
4484,
3997,
113,
1267,
2237,
128,
131,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
114,
794,
21531,
1174,
5233,
113,
10268,
1111,
18959,
2240,
1105,
26546,
2107,
2111,
114,
1109,
10311,
5354,
6451,
1186,
10202,
1104,
1103,
26546,
2107,
2443,
1110,
1270,
161,
15577,
119,
2994,
3300,
112,
188,
161,
15577,
5233,
1110,
3325,
1154,
1160,
2192,
131,
21531,
1174,
1105,
8362,
5710,
1906,
119,
20589,
1126,
3300,
7881,
161,
15577,
117,
1103,
1207,
161,
15577,
1132,
1896,
1106,
1103,
3300,
112,
188,
8362,
5710,
1906,
5233,
119,
1332,
1126,
3300,
10130,
161,
15577,
117,
161,
15577,
1116,
1132,
1678,
1121,
1241,
1103,
21531,
1174,
1105,
1103,
8362,
5710,
1906,
5233,
117,
1106,
8983,
1103,
21531,
1174,
1106,
8362,
5710,
1906,
6022,
1475,
119,
5533,
117,
1451
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"are",
"believed",
"to",
"be",
"positive",
"for",
"the",
"ho",
"##listic",
"economy",
".",
"In",
"this",
"way",
",",
"it",
"attempts",
"to",
"reward",
"active",
"economy",
"participants",
"at",
"the",
"expense",
"of",
"inactive",
"ones",
"and",
"damp",
"##ens",
"the",
"rich",
"getting",
"rich",
"##er",
"effect",
"that",
"is",
"inherent",
"to",
"Po",
"##S",
".",
"NE",
"##M",
"'",
"s",
"vision",
"is",
"to",
"be",
"the",
"foundation",
"of",
"a",
"vibrant",
"cry",
"##pt",
"##o",
"currency",
"ecosystem",
"that",
"emphasizes",
"security",
"and",
"trust",
"##less",
"computing",
".",
"NE",
"##M",
"was",
"launched",
"with",
"built",
"-",
"in",
"support",
"for",
"multi",
"##si",
"##g",
"transactions",
"and",
"en",
"##c",
"##ry",
"##pted",
"messages",
".",
"Additionally",
",",
"the",
"peer",
"-",
"to",
"-",
"peer",
"(",
"P",
"##2",
"##P",
")",
"NE",
"##M",
"network",
"implements",
"a",
"modified",
"version",
"of",
"E",
"##ige",
"##nt",
"##rust",
"+",
"+",
"to",
"identify",
"and",
"minimize",
"the",
"impact",
"of",
"ma",
"##lic",
"##ious",
"nodes",
".",
"NE",
"##M",
"is",
"evolving",
"and",
"this",
"is",
"just",
"the",
"beginning",
".",
"Stay",
"tuned",
"for",
"more",
"things",
"to",
"come",
".",
"Page",
"1",
"of",
"54",
"2",
"A",
"##cco",
"##unts",
"and",
"Ad",
"##dress",
"##es",
"\"",
"No",
"wind",
"serves",
"him",
"who",
"addresses",
"his",
"voyage",
"to",
"no",
"certain",
"port",
".",
"\"",
"-",
"Michel",
"de",
"Mont",
"##ai",
"##gne",
"N",
"E",
"##M",
"uses",
"el",
"##liptic",
"curve",
"cry",
"##pt",
"##ography",
"to",
"ensure",
"confidential",
"##ity",
",",
"authenticity",
"and",
"non",
"-",
"re",
"##pu",
"##dia",
"##bility",
"of",
"all",
"transactions",
".",
"Each",
"account",
"is",
"a",
"private",
"+",
"public",
"Ed",
"##25",
"##51",
"##9",
"key",
"##pair",
"(",
"section",
"3",
":",
"Cry",
"##pt",
"##ography",
")",
"and",
"is",
"associated",
"with",
"a",
"m",
"##uta",
"##ble",
"state",
"that",
"is",
"updated",
"when",
"transactions",
"are",
"accepted",
"by",
"the",
"network",
".",
"A",
"##c",
"-",
"counts",
"are",
"identified",
"by",
"NE",
"##M",
"addresses",
",",
"which",
"are",
"derived",
"in",
"part",
"from",
"one",
"way",
"mutations",
"of",
"Ed",
"##25",
"##51",
"##9",
"public",
"keys",
".",
"2",
".",
"1",
"A",
"##cco",
"##unt",
"state",
"The",
"state",
"associated",
"with",
"each",
"account",
"includes",
"the",
"following",
"items",
":",
"β’",
"account",
"balance",
"β’",
"number",
"of",
"harvested",
"blocks",
"(",
"see",
"sub",
"##section",
"5",
".",
"3",
":",
"Block",
"creation",
")",
"β’",
"height",
"of",
"the",
"first",
"transaction",
"that",
"referenced",
"the",
"account",
"β’",
"list",
"of",
"multi",
"##si",
"##g",
"accounts",
"and",
"list",
"of",
"co",
"##sign",
"##ator",
"##ies",
"(",
"see",
"sub",
"##section",
"4",
".",
"3",
":",
"Multi",
"##si",
"##g",
"related",
"transaction",
"types",
")",
"β’",
"information",
"about",
"delegate",
"##d",
"account",
"status",
"(",
"see",
"sub",
"##section",
"4",
".",
"2",
":",
"I",
"##mpo",
"##rta",
"##nce",
"transfer",
"transactions",
")",
"β’",
"importance",
"and",
"NC",
"##D",
"aware",
"rank",
"(",
"see",
"section",
"7",
":",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
")",
"β’",
"vest",
"##ed",
"balance",
"(",
"crucial",
"for",
"Po",
"##I",
"and",
"NE",
"##M",
"itself",
")",
"The",
"underlying",
"cry",
"##pt",
"##o",
"currency",
"of",
"the",
"NE",
"##M",
"network",
"is",
"called",
"X",
"##EM",
".",
"Each",
"account",
"'",
"s",
"X",
"##EM",
"balance",
"is",
"split",
"into",
"two",
"parts",
":",
"vest",
"##ed",
"and",
"un",
"##ves",
"##ted",
".",
"Whenever",
"an",
"account",
"receives",
"X",
"##EM",
",",
"the",
"new",
"X",
"##EM",
"are",
"added",
"to",
"the",
"account",
"'",
"s",
"un",
"##ves",
"##ted",
"balance",
".",
"When",
"an",
"account",
"sends",
"X",
"##EM",
",",
"X",
"##EM",
"##s",
"are",
"taken",
"from",
"both",
"the",
"vest",
"##ed",
"and",
"the",
"un",
"##ves",
"##ted",
"balance",
",",
"to",
"retain",
"the",
"vest",
"##ed",
"to",
"un",
"##ves",
"##ted",
"ratio",
"##1",
".",
"Additionally",
",",
"every"
] | NEM White paper | 636 |
. . . . . . . . . . . . . . . . . . . . . . . . 27
7.3 NCDawareRank . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
7.4 Clustering the transaction graph . . . . . . . . . . . . . . . . . . . . . . . . 32
7.5 Calculating Importance Scores . . . . . . . . . . . . . . . . . . . . . . . . . 34
7.6 Resistance to Manipulation . . . . . . . . . . . . . . . . . . . . . . . . . . 35
7.6.1 Sybil Attack . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
7.6.2 Loop Attack . . . . | [
15373,
1568,
5511,
117,
122,
1275,
1104,
1103,
8362,
5710,
1906,
5233,
1110,
1427,
1106,
1103,
21531,
1174,
1226,
119,
122,
2346,
2087,
1736,
1115,
1110,
1136,
1579,
1936,
8500,
123,
1104,
4335,
121,
123,
125,
127,
129,
1275,
1367,
1489,
1479,
1407,
1406,
121,
1275,
117,
1288,
1406,
117,
1288,
1476,
117,
1288,
1969,
117,
1288,
1851,
117,
1288,
2539,
117,
1288,
3102,
117,
1288,
2908,
117,
1288,
3078,
117,
1288,
1552,
1396,
188,
1204,
5048,
185,
1161,
187,
1204,
15982,
122,
131,
159,
2556,
1158,
1104,
1620,
117,
1288,
161,
15577,
1398,
5756,
1107,
1103,
24928,
6801,
1548,
3510,
1477,
1132,
3106,
21531,
1174,
119,
123,
119,
123,
26546,
2107,
11869,
138,
26546,
2107,
4134,
1110,
170,
2259,
118,
2724,
1495,
12544,
9225,
1204,
4721,
1104,
131,
794,
2443,
1118,
1566,
794,
7690,
118,
2113,
1144,
1324,
1104,
1103,
3300,
112,
188,
1470,
2501,
794,
125,
1118,
1566,
15008,
1818,
1109,
15008,
1818,
3643,
1111,
3613,
4453,
1104,
12791,
16726,
1181,
11869,
119,
1135,
1110,
1936,
1106,
3952,
161,
15577,
1106,
1251,
9221,
4134,
1256,
1191,
1103,
4134,
1144,
1136,
2331,
3360,
1107,
1251,
123,
8702,
9731,
3510,
1107,
1103,
26546,
2107,
3510,
4129,
124,
17439,
1204,
1643,
131,
120,
120,
4035,
119,
192,
12635,
3537,
1465,
119,
8916,
120,
192,
12635,
120,
5524,
17101,
8500,
124,
1104,
4335,
8413,
131,
120,
120,
4035,
119,
192,
12635,
3537,
1465,
119,
8916,
120,
192,
12635,
120,
5524,
17101,
13618,
119,
1409,
8582,
8300,
1103,
2029,
2501,
1104,
1103,
3300,
1106,
1134,
1103,
161,
15577,
1110,
1850,
117,
1103,
161,
15577,
1110,
1211,
2620,
1575,
5221,
119,
123,
119,
124,
16752,
12986,
1158,
170,
1470,
2501,
1154,
1126,
4134,
1130,
1546,
1106,
10454,
170,
1470,
2501,
1106,
1126,
4134,
117,
1103,
1378,
3343,
1132,
1982,
131,
122,
119,
14286,
13199,
18440,
118,
2113,
156,
2328,
1495,
1113,
1103,
1470,
2501,
123,
119,
14286,
13199,
7690,
118,
2113,
155,
9717,
5521,
1181,
1104,
1144,
1324,
3694,
1121,
2585,
122,
119,
124,
119,
11689,
11741,
1181,
1683,
1118,
1566,
1106,
155,
9717,
5521,
1181,
1144,
1324,
113,
1719,
121,
1775,
1545,
1604,
1137,
121,
1775,
1580,
1604,
114,
125,
119,
14286,
13199,
18440,
118,
2113,
156,
2328,
1495,
1113,
1103,
1871,
117,
1321,
1103,
1148,
1300,
1118,
3052,
1112,
170,
15008,
1818,
126,
119,
16752,
20127,
13978,
5964,
1104,
2585,
124,
1105,
1103,
15008,
1818,
1121,
2585,
125,
127,
119,
13832,
13775,
1871,
1606,
2259,
17101,
16409,
26671,
131,
122,
119,
1470,
2501,
161,
131,
1260,
1830,
1559,
1495,
1174,
1559,
1181,
1568,
23493,
1527,
1162,
1580,
1604,
26303,
24400,
8124,
2822,
21336,
1580,
1580,
1161,
26303,
2087,
1830,
1545,
1477,
1162,
22392,
1477,
1162,
21336,
22997,
1604,
1571,
17600,
1830,
1604,
1181,
1580,
2087,
1830,
1580,
6639,
18910,
22118,
1571,
1559,
1162,
162,
131,
20065,
22639,
1604,
6639,
1665,
1495,
1162,
1571,
1830,
7629,
10973,
1571,
1580,
1161,
24786,
1545,
1181,
1527,
1665,
2087,
1475,
1665,
1495,
1181,
19297,
2822,
1568,
20581,
1665,
1545,
26253,
1830,
16337,
2087,
1830,
1475,
1665,
1527,
1580,
25631,
2087,
1559,
1545,
1545,
1477,
3051,
2087
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"144",
"##0",
"blocks",
",",
"1",
"10",
"of",
"the",
"un",
"##ves",
"##ted",
"balance",
"is",
"moved",
"to",
"the",
"vest",
"##ed",
"part",
".",
"1",
"##O",
"##f",
"course",
"that",
"is",
"not",
"always",
"possible",
"Page",
"2",
"of",
"54",
"0",
"2",
"4",
"6",
"8",
"10",
"12",
"14",
"16",
"18",
"20",
"0",
"10",
",",
"000",
"20",
",",
"000",
"30",
",",
"000",
"40",
",",
"000",
"50",
",",
"000",
"60",
",",
"000",
"70",
",",
"000",
"80",
",",
"000",
"90",
",",
"000",
"days",
"ve",
"s",
"##t",
"ed",
"p",
"##a",
"r",
"##t",
"Figure",
"1",
":",
"V",
"##est",
"##ing",
"of",
"100",
",",
"000",
"X",
"##EM",
"All",
"accounts",
"in",
"the",
"ne",
"##mes",
"##is",
"block",
"##2",
"are",
"fully",
"vest",
"##ed",
".",
"2",
".",
"2",
"NE",
"##M",
"addresses",
"A",
"NE",
"##M",
"address",
"is",
"a",
"base",
"-",
"32",
"##3",
"encoded",
"triple",
"##t",
"consisting",
"of",
":",
"β’",
"network",
"by",
"##te",
"β’",
"160",
"-",
"bit",
"has",
"##h",
"of",
"the",
"account",
"'",
"s",
"public",
"key",
"β’",
"4",
"by",
"##te",
"checks",
"##um",
"The",
"checks",
"##um",
"allows",
"for",
"quick",
"recognition",
"of",
"mist",
"##ype",
"##d",
"addresses",
".",
"It",
"is",
"possible",
"to",
"send",
"X",
"##EM",
"to",
"any",
"valid",
"address",
"even",
"if",
"the",
"address",
"has",
"not",
"previously",
"participated",
"in",
"any",
"2",
"##fi",
"##rst",
"block",
"in",
"the",
"NE",
"##M",
"block",
"chain",
"3",
"##ht",
"##t",
"##p",
":",
"/",
"/",
"en",
".",
"w",
"##iki",
"##ped",
"##ia",
".",
"org",
"/",
"w",
"##iki",
"/",
"Base",
"##32",
"Page",
"3",
"of",
"54",
"http",
":",
"/",
"/",
"en",
".",
"w",
"##iki",
"##ped",
"##ia",
".",
"org",
"/",
"w",
"##iki",
"/",
"Base",
"##32",
"transaction",
".",
"If",
"nobody",
"owns",
"the",
"private",
"key",
"of",
"the",
"account",
"to",
"which",
"the",
"X",
"##EM",
"is",
"sent",
",",
"the",
"X",
"##EM",
"is",
"most",
"likely",
"lost",
"forever",
".",
"2",
".",
"3",
"Con",
"##vert",
"##ing",
"a",
"public",
"key",
"into",
"an",
"address",
"In",
"order",
"to",
"convert",
"a",
"public",
"key",
"to",
"an",
"address",
",",
"the",
"following",
"steps",
"are",
"performed",
":",
"1",
".",
"Per",
"##form",
"256",
"-",
"bit",
"S",
"##ha",
"##3",
"on",
"the",
"public",
"key",
"2",
".",
"Per",
"##form",
"160",
"-",
"bit",
"R",
"##ip",
"##em",
"##d",
"of",
"has",
"##h",
"resulting",
"from",
"step",
"1",
".",
"3",
".",
"Pre",
"##pen",
"##d",
"version",
"by",
"##te",
"to",
"R",
"##ip",
"##em",
"##d",
"has",
"##h",
"(",
"either",
"0",
"##x",
"##6",
"##8",
"or",
"0",
"##x",
"##9",
"##8",
")",
"4",
".",
"Per",
"##form",
"256",
"-",
"bit",
"S",
"##ha",
"##3",
"on",
"the",
"result",
",",
"take",
"the",
"first",
"four",
"by",
"##tes",
"as",
"a",
"checks",
"##um",
"5",
".",
"Con",
"##cate",
"##nate",
"output",
"of",
"step",
"3",
"and",
"the",
"checks",
"##um",
"from",
"step",
"4",
"6",
".",
"En",
"##code",
"result",
"using",
"base",
"##32",
"Ex",
"##ample",
":",
"1",
".",
"public",
"key",
"X",
":",
"de",
"##b",
"##7",
"##3",
"##ed",
"##7",
"##d",
"##0",
"##33",
"##4",
"##e",
"##9",
"##8",
"##37",
"##01",
"##fe",
"##ba",
"##45",
"##9",
"##9",
"##a",
"##37",
"##f",
"##b",
"##6",
"##2",
"##e",
"##86",
"##2",
"##e",
"##45",
"##36",
"##8",
"##5",
"##25",
"##b",
"##8",
"##d",
"##9",
"##f",
"##b",
"##9",
"##ab",
"##80",
"##aa",
"##5",
"##7",
"##e",
"Y",
":",
"169",
"##31",
"##8",
"##ab",
"##c",
"##3",
"##e",
"##5",
"##b",
"##00",
"##20",
"##5",
"##9",
"##a",
"##39",
"##6",
"##d",
"##4",
"##c",
"##f",
"##1",
"##c",
"##3",
"##d",
"##35",
"##ba",
"##0",
"##22",
"##c",
"##6",
"##75",
"##b",
"##15",
"##f",
"##b",
"##1",
"##c",
"##4",
"##9",
"##43",
"##f",
"##7",
"##6",
"##6",
"##2",
"##ee",
"##f"
] | NEM White paper | 637 |
. . . . . . . . . . . . . . . . . . . . . . . . 27
7.3 NCDawareRank . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
7.4 Clustering the transaction graph . . . . . . . . . . . . . . . . . . . . . . . . 32
7.5 Calculating Importance Scores . . . . . . . . . . . . . . . . . . . . . . . . . 34
7.6 Resistance to Manipulation . . . . . . . . . . . . . . . . . . . . . . . . . . 35
7.6.1 Sybil Attack . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
7.6.2 Loop Attack . . . . | [
15373,
1568,
5511,
117,
122,
1275,
1104,
1103,
8362,
5710,
1906,
5233,
1110,
1427,
1106,
1103,
21531,
1174,
1226,
119,
122,
2346,
2087,
1736,
1115,
1110,
1136,
1579,
1936,
8500,
123,
1104,
4335,
121,
123,
125,
127,
129,
1275,
1367,
1489,
1479,
1407,
1406,
121,
1275,
117,
1288,
1406,
117,
1288,
1476,
117,
1288,
1969,
117,
1288,
1851,
117,
1288,
2539,
117,
1288,
3102,
117,
1288,
2908,
117,
1288,
3078,
117,
1288,
1552,
1396,
188,
1204,
5048,
185,
1161,
187,
1204,
15982,
122,
131,
159,
2556,
1158,
1104,
1620,
117,
1288,
161,
15577,
1398,
5756,
1107,
1103,
24928,
6801,
1548,
3510,
1477,
1132,
3106,
21531,
1174,
119,
123,
119,
123,
26546,
2107,
11869,
138,
26546,
2107,
4134,
1110,
170,
2259,
118,
2724,
1495,
12544,
9225,
1204,
4721,
1104,
131,
794,
2443,
1118,
1566,
794,
7690,
118,
2113,
1144,
1324,
1104,
1103,
3300,
112,
188,
1470,
2501,
794,
125,
1118,
1566,
15008,
1818,
1109,
15008,
1818,
3643,
1111,
3613,
4453,
1104,
12791,
16726,
1181,
11869,
119,
1135,
1110,
1936,
1106,
3952,
161,
15577,
1106,
1251,
9221,
4134,
1256,
1191,
1103,
4134,
1144,
1136,
2331,
3360,
1107,
1251,
123,
8702,
9731,
3510,
1107,
1103,
26546,
2107,
3510,
4129,
124,
17439,
1204,
1643,
131,
120,
120,
4035,
119,
192,
12635,
3537,
1465,
119,
8916,
120,
192,
12635,
120,
5524,
17101,
8500,
124,
1104,
4335,
8413,
131,
120,
120,
4035,
119,
192,
12635,
3537,
1465,
119,
8916,
120,
192,
12635,
120,
5524,
17101,
13618,
119,
1409,
8582,
8300,
1103,
2029,
2501,
1104,
1103,
3300,
1106,
1134,
1103,
161,
15577,
1110,
1850,
117,
1103,
161,
15577,
1110,
1211,
2620,
1575,
5221,
119,
123,
119,
124,
16752,
12986,
1158,
170,
1470,
2501,
1154,
1126,
4134,
1130,
1546,
1106,
10454,
170,
1470,
2501,
1106,
1126,
4134,
117,
1103,
1378,
3343,
1132,
1982,
131,
122,
119,
14286,
13199,
18440,
118,
2113,
156,
2328,
1495,
1113,
1103,
1470,
2501,
123,
119,
14286,
13199,
7690,
118,
2113,
155,
9717,
5521,
1181,
1104,
1144,
1324,
3694,
1121,
2585,
122,
119,
124,
119,
11689,
11741,
1181,
1683,
1118,
1566,
1106,
155,
9717,
5521,
1181,
1144,
1324,
113,
1719,
121,
1775,
1545,
1604,
1137,
121,
1775,
1580,
1604,
114,
125,
119,
14286,
13199,
18440,
118,
2113,
156,
2328,
1495,
1113,
1103,
1871,
117,
1321,
1103,
1148,
1300,
1118,
3052,
1112,
170,
15008,
1818,
126,
119,
16752,
20127,
13978,
5964,
1104,
2585,
124,
1105,
1103,
15008,
1818,
1121,
2585,
125,
127,
119,
13832,
13775,
1871,
1606,
2259,
17101,
16409,
26671,
131,
122,
119,
1470,
2501,
161,
131,
1260,
1830,
1559,
1495,
1174,
1559,
1181,
1568,
23493,
1527,
1162,
1580,
1604,
26303,
24400,
8124,
2822,
21336,
1580,
1580,
1161,
26303,
2087,
1830,
1545,
1477,
1162,
22392,
1477,
1162,
21336,
22997,
1604,
1571,
17600,
1830,
1604,
1181,
1580,
2087,
1830,
1580,
6639,
18910,
22118,
1571,
1559,
1162,
162,
131,
20065,
22639,
1604,
6639,
1665,
1495,
1162,
1571,
1830,
7629,
10973,
1571,
1580,
1161,
24786,
1545,
1181,
1527,
1665,
2087,
1475,
1665,
1495,
1181,
19297,
2822,
1568,
20581,
1665,
1545,
26253,
1830,
16337,
2087,
1830,
1475,
1665,
1527,
1580,
25631,
2087,
1559,
1545,
1545,
1477,
3051,
2087
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"144",
"##0",
"blocks",
",",
"1",
"10",
"of",
"the",
"un",
"##ves",
"##ted",
"balance",
"is",
"moved",
"to",
"the",
"vest",
"##ed",
"part",
".",
"1",
"##O",
"##f",
"course",
"that",
"is",
"not",
"always",
"possible",
"Page",
"2",
"of",
"54",
"0",
"2",
"4",
"6",
"8",
"10",
"12",
"14",
"16",
"18",
"20",
"0",
"10",
",",
"000",
"20",
",",
"000",
"30",
",",
"000",
"40",
",",
"000",
"50",
",",
"000",
"60",
",",
"000",
"70",
",",
"000",
"80",
",",
"000",
"90",
",",
"000",
"days",
"ve",
"s",
"##t",
"ed",
"p",
"##a",
"r",
"##t",
"Figure",
"1",
":",
"V",
"##est",
"##ing",
"of",
"100",
",",
"000",
"X",
"##EM",
"All",
"accounts",
"in",
"the",
"ne",
"##mes",
"##is",
"block",
"##2",
"are",
"fully",
"vest",
"##ed",
".",
"2",
".",
"2",
"NE",
"##M",
"addresses",
"A",
"NE",
"##M",
"address",
"is",
"a",
"base",
"-",
"32",
"##3",
"encoded",
"triple",
"##t",
"consisting",
"of",
":",
"β’",
"network",
"by",
"##te",
"β’",
"160",
"-",
"bit",
"has",
"##h",
"of",
"the",
"account",
"'",
"s",
"public",
"key",
"β’",
"4",
"by",
"##te",
"checks",
"##um",
"The",
"checks",
"##um",
"allows",
"for",
"quick",
"recognition",
"of",
"mist",
"##ype",
"##d",
"addresses",
".",
"It",
"is",
"possible",
"to",
"send",
"X",
"##EM",
"to",
"any",
"valid",
"address",
"even",
"if",
"the",
"address",
"has",
"not",
"previously",
"participated",
"in",
"any",
"2",
"##fi",
"##rst",
"block",
"in",
"the",
"NE",
"##M",
"block",
"chain",
"3",
"##ht",
"##t",
"##p",
":",
"/",
"/",
"en",
".",
"w",
"##iki",
"##ped",
"##ia",
".",
"org",
"/",
"w",
"##iki",
"/",
"Base",
"##32",
"Page",
"3",
"of",
"54",
"http",
":",
"/",
"/",
"en",
".",
"w",
"##iki",
"##ped",
"##ia",
".",
"org",
"/",
"w",
"##iki",
"/",
"Base",
"##32",
"transaction",
".",
"If",
"nobody",
"owns",
"the",
"private",
"key",
"of",
"the",
"account",
"to",
"which",
"the",
"X",
"##EM",
"is",
"sent",
",",
"the",
"X",
"##EM",
"is",
"most",
"likely",
"lost",
"forever",
".",
"2",
".",
"3",
"Con",
"##vert",
"##ing",
"a",
"public",
"key",
"into",
"an",
"address",
"In",
"order",
"to",
"convert",
"a",
"public",
"key",
"to",
"an",
"address",
",",
"the",
"following",
"steps",
"are",
"performed",
":",
"1",
".",
"Per",
"##form",
"256",
"-",
"bit",
"S",
"##ha",
"##3",
"on",
"the",
"public",
"key",
"2",
".",
"Per",
"##form",
"160",
"-",
"bit",
"R",
"##ip",
"##em",
"##d",
"of",
"has",
"##h",
"resulting",
"from",
"step",
"1",
".",
"3",
".",
"Pre",
"##pen",
"##d",
"version",
"by",
"##te",
"to",
"R",
"##ip",
"##em",
"##d",
"has",
"##h",
"(",
"either",
"0",
"##x",
"##6",
"##8",
"or",
"0",
"##x",
"##9",
"##8",
")",
"4",
".",
"Per",
"##form",
"256",
"-",
"bit",
"S",
"##ha",
"##3",
"on",
"the",
"result",
",",
"take",
"the",
"first",
"four",
"by",
"##tes",
"as",
"a",
"checks",
"##um",
"5",
".",
"Con",
"##cate",
"##nate",
"output",
"of",
"step",
"3",
"and",
"the",
"checks",
"##um",
"from",
"step",
"4",
"6",
".",
"En",
"##code",
"result",
"using",
"base",
"##32",
"Ex",
"##ample",
":",
"1",
".",
"public",
"key",
"X",
":",
"de",
"##b",
"##7",
"##3",
"##ed",
"##7",
"##d",
"##0",
"##33",
"##4",
"##e",
"##9",
"##8",
"##37",
"##01",
"##fe",
"##ba",
"##45",
"##9",
"##9",
"##a",
"##37",
"##f",
"##b",
"##6",
"##2",
"##e",
"##86",
"##2",
"##e",
"##45",
"##36",
"##8",
"##5",
"##25",
"##b",
"##8",
"##d",
"##9",
"##f",
"##b",
"##9",
"##ab",
"##80",
"##aa",
"##5",
"##7",
"##e",
"Y",
":",
"169",
"##31",
"##8",
"##ab",
"##c",
"##3",
"##e",
"##5",
"##b",
"##00",
"##20",
"##5",
"##9",
"##a",
"##39",
"##6",
"##d",
"##4",
"##c",
"##f",
"##1",
"##c",
"##3",
"##d",
"##35",
"##ba",
"##0",
"##22",
"##c",
"##6",
"##75",
"##b",
"##15",
"##f",
"##b",
"##1",
"##c",
"##4",
"##9",
"##43",
"##f",
"##7",
"##6",
"##6",
"##2",
"##ee",
"##f"
] | NEM White paper | 638 |
. . . . . . . . . . . . . . . . . . . . . . . . . . . 37
7.7 Nothing-at-Stake Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
7.8 Comparing importance to stake . . . . . . . . . . . . . . . . . . . . . . . . 39
8 Time synchronization 44
8.1 Gathering samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
8.2 Applying filters to remove bad data . . . . . . . . . . . . . . . . . . . . . . 45
8.3 Calculation of the effective offset . . . . . . . . . . . . . . . . . . . . | [
25129,
1604,
163,
131,
170,
21500,
1571,
1559,
1495,
1830,
1181,
20581,
1475,
1161,
1495,
5024,
23493,
8124,
1665,
1571,
1181,
1527,
11470,
1665,
1527,
8057,
17668,
1559,
1604,
1580,
1559,
1161,
12882,
23124,
1559,
3051,
9823,
1162,
1604,
1559,
11891,
1571,
1181,
1545,
1559,
5024,
1571,
1830,
1527,
2087,
1559,
17600,
123,
119,
18273,
1470,
2501,
131,
172,
1571,
19598,
1559,
1559,
23249,
1665,
1495,
1161,
24050,
1568,
2087,
1830,
1545,
1665,
14541,
25892,
23493,
22639,
1181,
1604,
1161,
24766,
1559,
22433,
2087,
1545,
1162,
1559,
1604,
3101,
1665,
1181,
1830,
1568,
1477,
1830,
1545,
1604,
1559,
1604,
1181,
1571,
13976,
1495,
1830,
1559,
1559,
2087,
23249,
1174,
124,
119,
188,
2328,
1495,
118,
18440,
131,
3102,
1665,
1580,
1181,
1665,
2087,
1545,
1580,
1545,
1830,
1477,
3556,
1580,
1477,
1181,
13834,
1580,
1830,
1571,
1477,
2093,
1830,
23493,
10294,
1568,
14604,
1571,
1830,
2087,
1181,
1830,
20829,
1571,
1477,
1181,
2087,
1527,
1580,
17175,
1665,
1568,
1580,
16382,
2599,
13976,
1830,
1580,
1181,
2087,
1665,
2087,
125,
119,
27087,
1306,
1181,
131,
122,
2087,
17175,
1477,
1665,
1571,
4490,
19203,
24239,
1568,
1545,
1495,
1174,
1545,
1181,
1665,
1495,
1665,
17668,
22118,
1161,
1604,
17600,
1559,
1665,
1181,
1559,
1810,
2087,
14541,
126,
119,
3073,
11741,
1181,
1683,
131,
5599,
1475,
2087,
17175,
1477,
1665,
1571,
4490,
19203,
24239,
1568,
1545,
1495,
1174,
1545,
1181,
1665,
1495,
1665,
17668,
22118,
1161,
1604,
17600,
1559,
1665,
1181,
1559,
1810,
2087,
14541,
127,
119,
188,
2328,
1495,
118,
18440,
1104,
1807,
131,
4925,
17668,
1477,
1161,
1571,
4490,
21500,
6639,
1559,
8057,
1568,
1559,
1559,
1604,
24766,
1161,
1545,
1580,
1580,
1830,
25892,
1580,
1580,
1545,
1580,
1475,
1830,
25892,
13144,
2087,
1545,
1545,
1604,
1559,
1545,
17600,
1527,
12393,
1181,
20829,
5024,
21336,
1580,
1181,
13834,
24239,
128,
119,
125,
118,
1118,
1566,
15008,
1818,
131,
4925,
17668,
1477,
1161,
1571,
1162,
113,
1148,
125,
1118,
3052,
1104,
1103,
1807,
114,
129,
119,
13480,
4134,
131,
5599,
1475,
2087,
17175,
1477,
1665,
1571,
4490,
19203,
24239,
1568,
1545,
1495,
1174,
1545,
1181,
1665,
1495,
1665,
17668,
22118,
1161,
1604,
17600,
1559,
1665,
1181,
1559,
1810,
2087,
14541,
1568,
1580,
17668,
1477,
1161,
1571,
1162,
130,
119,
2259,
118,
2724,
18922,
131,
151,
12240,
20595,
12674,
1545,
13329,
16647,
1592,
3663,
1559,
2249,
2249,
3190,
2064,
1527,
15678,
2559,
2428,
4880,
4538,
2162,
23117,
1559,
14576,
10954,
9637,
2349,
25370,
1545,
1275,
119,
2785,
118,
5911,
131,
151,
12240,
20595,
2162,
118,
140,
1545,
13329,
16647,
118,
138,
3663,
1559,
2249,
2249,
3190,
118,
139,
1527,
15678,
2559,
2428,
118,
154,
4538,
2162,
23117,
1559,
118,
151,
15270,
27073,
2069,
118,
144,
25370,
1545,
8500,
125,
1104,
4335,
2710,
7443,
131,
161,
162,
2724,
1118,
3052,
18273,
118,
1470,
118,
2501,
27087,
1306,
1181,
16229,
1568,
113,
188,
2328,
1495,
18440,
113,
18273,
118,
1470,
118,
2501,
114,
114,
122,
1406,
1118,
3052,
3998,
1118,
1566,
131,
121,
1775,
1545,
1604,
118,
1514,
5795,
121,
1775,
1580,
1604,
118,
2774,
5795,
188,
2328,
1495,
18440,
113,
122,
1406,
1118,
3052
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##26",
"##8",
"Z",
":",
"a",
"##90",
"##5",
"##7",
"##3",
"##b",
"##d",
"##22",
"##1",
"##a",
"##3",
"##ae",
"##33",
"##fe",
"##c",
"##5",
"##d",
"##4",
"##ef",
"##c",
"##4",
"##fa",
"##13",
"##7",
"##8",
"##9",
"##7",
"##a",
"##40",
"##34",
"##7",
"##ee",
"##af",
"##e",
"##8",
"##7",
"##bee",
"##5",
"##d",
"##6",
"##7",
"##ae",
"##5",
"##b",
"##4",
"##f",
"##7",
"##25",
"2",
".",
"compressed",
"public",
"key",
":",
"c",
"##5",
"##24",
"##7",
"##7",
"##38",
"##c",
"##3",
"##a",
"##51",
"##0",
"##f",
"##b",
"##6",
"##c",
"##11",
"##41",
"##33",
"##31",
"##d",
"##8",
"##a",
"##47",
"##7",
"##64",
"##f",
"##6",
"##e",
"##7",
"##8",
"##ff",
"##c",
"##d",
"##b",
"##0",
"##2",
"##b",
"##6",
"##8",
"##7",
"##8",
"##d",
"##5",
"##dd",
"##3",
"##b",
"##7",
"##7",
"##f",
"##38",
"##ed",
"3",
".",
"s",
"##ha",
"##3",
"-",
"256",
":",
"70",
"##c",
"##9",
"##d",
"##c",
"##f",
"##6",
"##9",
"##6",
"##b",
"##2",
"##ad",
"##9",
"##2",
"##d",
"##bb",
"##9",
"##b",
"##5",
"##2",
"##ce",
"##b",
"##33",
"##ec",
"##0",
"##eda",
"##5",
"##b",
"##f",
"##d",
"##b",
"##70",
"##5",
"##2",
"##d",
"##f",
"##4",
"##9",
"##14",
"##c",
"##0",
"##9",
"##19",
"##ca",
"##dd",
"##b",
"##9",
"##d",
"##f",
"##c",
"##f",
"4",
".",
"ripe",
"##m",
"##d",
":",
"1",
"##f",
"##14",
"##2",
"##c",
"##5",
"##ea",
"##48",
"##53",
"##0",
"##6",
"##3",
"##ed",
"##6",
"##d",
"##c",
"##3",
"##c",
"##13",
"##aa",
"##a",
"##8",
"##25",
"##7",
"##c",
"##d",
"##7",
"##da",
"##f",
"##11",
"5",
".",
"pre",
"##pen",
"##d",
"version",
":",
"68",
"##1",
"##f",
"##14",
"##2",
"##c",
"##5",
"##ea",
"##48",
"##53",
"##0",
"##6",
"##3",
"##ed",
"##6",
"##d",
"##c",
"##3",
"##c",
"##13",
"##aa",
"##a",
"##8",
"##25",
"##7",
"##c",
"##d",
"##7",
"##da",
"##f",
"##11",
"6",
".",
"s",
"##ha",
"##3",
"-",
"256",
"of",
"above",
":",
"09",
"##13",
"##2",
"##a",
"##5",
"##ea",
"##90",
"##ab",
"##7",
"##fa",
"##0",
"##7",
"##7",
"##8",
"##47",
"##a",
"##6",
"##9",
"##9",
"##b",
"##41",
"##9",
"##9",
"##6",
"##9",
"##1",
"##b",
"##41",
"##30",
"##f",
"##6",
"##6",
"##8",
"##7",
"##6",
"##25",
"##4",
"##ead",
"##d",
"##70",
"##ae",
"##45",
"##9",
"##d",
"##bb",
"##53",
"7",
".",
"4",
"-",
"by",
"##te",
"checks",
"##um",
":",
"09",
"##13",
"##2",
"##a",
"##5",
"##e",
"(",
"first",
"4",
"by",
"##tes",
"of",
"the",
"above",
")",
"8",
".",
"binary",
"address",
":",
"68",
"##1",
"##f",
"##14",
"##2",
"##c",
"##5",
"##ea",
"##48",
"##53",
"##0",
"##6",
"##3",
"##ed",
"##6",
"##d",
"##c",
"##3",
"##c",
"##13",
"##aa",
"##a",
"##8",
"##25",
"##7",
"##c",
"##d",
"##7",
"##da",
"##f",
"##11",
"##0",
"##9",
"##13",
"##2",
"##a",
"##5",
"##e",
"9",
".",
"base",
"-",
"32",
"encoding",
":",
"N",
"##AP",
"##RI",
"##LC",
"##6",
"##US",
"##CT",
"##A",
"##Y",
"##7",
"##N",
"##N",
"##X",
"##B",
"##4",
"##CO",
"##V",
"##K",
"##Q",
"##J",
"##L",
"##42",
"##7",
"##NP",
"##CE",
"##ER",
"##G",
"##KS",
"##6",
"10",
".",
"pretty",
"-",
"print",
":",
"N",
"##AP",
"##RI",
"##L",
"-",
"C",
"##6",
"##US",
"##CT",
"-",
"A",
"##Y",
"##7",
"##N",
"##N",
"##X",
"-",
"B",
"##4",
"##CO",
"##V",
"##K",
"-",
"Q",
"##J",
"##L",
"##42",
"##7",
"-",
"N",
"##PC",
"##EE",
"##R",
"-",
"G",
"##KS",
"##6",
"Page",
"4",
"of",
"54",
"Public",
"Key",
":",
"X",
"Y",
"32",
"by",
"##tes",
"compressed",
"-",
"public",
"-",
"key",
"ripe",
"##m",
"##d",
"##16",
"##0",
"(",
"s",
"##ha",
"##3",
"256",
"(",
"compressed",
"-",
"public",
"-",
"key",
")",
")",
"1",
"20",
"by",
"##tes",
"Network",
"by",
"##te",
":",
"0",
"##x",
"##6",
"##8",
"-",
"main",
"net",
"0",
"##x",
"##9",
"##8",
"-",
"test",
"net",
"s",
"##ha",
"##3",
"256",
"(",
"1",
"20",
"by",
"##tes"
] | NEM White paper | 639 |
. . . . . . . . . . . . . . . . . . . . . . . . . . . 37
7.7 Nothing-at-Stake Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
7.8 Comparing importance to stake . . . . . . . . . . . . . . . . . . . . . . . . 39
8 Time synchronization 44
8.1 Gathering samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
8.2 Applying filters to remove bad data . . . . . . . . . . . . . . . . . . . . . . 45
8.3 Calculation of the effective offset . . . . . . . . . . . . . . . . . . . . | [
25129,
1604,
163,
131,
170,
21500,
1571,
1559,
1495,
1830,
1181,
20581,
1475,
1161,
1495,
5024,
23493,
8124,
1665,
1571,
1181,
1527,
11470,
1665,
1527,
8057,
17668,
1559,
1604,
1580,
1559,
1161,
12882,
23124,
1559,
3051,
9823,
1162,
1604,
1559,
11891,
1571,
1181,
1545,
1559,
5024,
1571,
1830,
1527,
2087,
1559,
17600,
123,
119,
18273,
1470,
2501,
131,
172,
1571,
19598,
1559,
1559,
23249,
1665,
1495,
1161,
24050,
1568,
2087,
1830,
1545,
1665,
14541,
25892,
23493,
22639,
1181,
1604,
1161,
24766,
1559,
22433,
2087,
1545,
1162,
1559,
1604,
3101,
1665,
1181,
1830,
1568,
1477,
1830,
1545,
1604,
1559,
1604,
1181,
1571,
13976,
1495,
1830,
1559,
1559,
2087,
23249,
1174,
124,
119,
188,
2328,
1495,
118,
18440,
131,
3102,
1665,
1580,
1181,
1665,
2087,
1545,
1580,
1545,
1830,
1477,
3556,
1580,
1477,
1181,
13834,
1580,
1830,
1571,
1477,
2093,
1830,
23493,
10294,
1568,
14604,
1571,
1830,
2087,
1181,
1830,
20829,
1571,
1477,
1181,
2087,
1527,
1580,
17175,
1665,
1568,
1580,
16382,
2599,
13976,
1830,
1580,
1181,
2087,
1665,
2087,
125,
119,
27087,
1306,
1181,
131,
122,
2087,
17175,
1477,
1665,
1571,
4490,
19203,
24239,
1568,
1545,
1495,
1174,
1545,
1181,
1665,
1495,
1665,
17668,
22118,
1161,
1604,
17600,
1559,
1665,
1181,
1559,
1810,
2087,
14541,
126,
119,
3073,
11741,
1181,
1683,
131,
5599,
1475,
2087,
17175,
1477,
1665,
1571,
4490,
19203,
24239,
1568,
1545,
1495,
1174,
1545,
1181,
1665,
1495,
1665,
17668,
22118,
1161,
1604,
17600,
1559,
1665,
1181,
1559,
1810,
2087,
14541,
127,
119,
188,
2328,
1495,
118,
18440,
1104,
1807,
131,
4925,
17668,
1477,
1161,
1571,
4490,
21500,
6639,
1559,
8057,
1568,
1559,
1559,
1604,
24766,
1161,
1545,
1580,
1580,
1830,
25892,
1580,
1580,
1545,
1580,
1475,
1830,
25892,
13144,
2087,
1545,
1545,
1604,
1559,
1545,
17600,
1527,
12393,
1181,
20829,
5024,
21336,
1580,
1181,
13834,
24239,
128,
119,
125,
118,
1118,
1566,
15008,
1818,
131,
4925,
17668,
1477,
1161,
1571,
1162,
113,
1148,
125,
1118,
3052,
1104,
1103,
1807,
114,
129,
119,
13480,
4134,
131,
5599,
1475,
2087,
17175,
1477,
1665,
1571,
4490,
19203,
24239,
1568,
1545,
1495,
1174,
1545,
1181,
1665,
1495,
1665,
17668,
22118,
1161,
1604,
17600,
1559,
1665,
1181,
1559,
1810,
2087,
14541,
1568,
1580,
17668,
1477,
1161,
1571,
1162,
130,
119,
2259,
118,
2724,
18922,
131,
151,
12240,
20595,
12674,
1545,
13329,
16647,
1592,
3663,
1559,
2249,
2249,
3190,
2064,
1527,
15678,
2559,
2428,
4880,
4538,
2162,
23117,
1559,
14576,
10954,
9637,
2349,
25370,
1545,
1275,
119,
2785,
118,
5911,
131,
151,
12240,
20595,
2162,
118,
140,
1545,
13329,
16647,
118,
138,
3663,
1559,
2249,
2249,
3190,
118,
139,
1527,
15678,
2559,
2428,
118,
154,
4538,
2162,
23117,
1559,
118,
151,
15270,
27073,
2069,
118,
144,
25370,
1545,
8500,
125,
1104,
4335,
2710,
7443,
131,
161,
162,
2724,
1118,
3052,
18273,
118,
1470,
118,
2501,
27087,
1306,
1181,
16229,
1568,
113,
188,
2328,
1495,
18440,
113,
18273,
118,
1470,
118,
2501,
114,
114,
122,
1406,
1118,
3052,
3998,
1118,
1566,
131,
121,
1775,
1545,
1604,
118,
1514,
5795,
121,
1775,
1580,
1604,
118,
2774,
5795,
188,
2328,
1495,
18440,
113,
122,
1406,
1118,
3052
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##26",
"##8",
"Z",
":",
"a",
"##90",
"##5",
"##7",
"##3",
"##b",
"##d",
"##22",
"##1",
"##a",
"##3",
"##ae",
"##33",
"##fe",
"##c",
"##5",
"##d",
"##4",
"##ef",
"##c",
"##4",
"##fa",
"##13",
"##7",
"##8",
"##9",
"##7",
"##a",
"##40",
"##34",
"##7",
"##ee",
"##af",
"##e",
"##8",
"##7",
"##bee",
"##5",
"##d",
"##6",
"##7",
"##ae",
"##5",
"##b",
"##4",
"##f",
"##7",
"##25",
"2",
".",
"compressed",
"public",
"key",
":",
"c",
"##5",
"##24",
"##7",
"##7",
"##38",
"##c",
"##3",
"##a",
"##51",
"##0",
"##f",
"##b",
"##6",
"##c",
"##11",
"##41",
"##33",
"##31",
"##d",
"##8",
"##a",
"##47",
"##7",
"##64",
"##f",
"##6",
"##e",
"##7",
"##8",
"##ff",
"##c",
"##d",
"##b",
"##0",
"##2",
"##b",
"##6",
"##8",
"##7",
"##8",
"##d",
"##5",
"##dd",
"##3",
"##b",
"##7",
"##7",
"##f",
"##38",
"##ed",
"3",
".",
"s",
"##ha",
"##3",
"-",
"256",
":",
"70",
"##c",
"##9",
"##d",
"##c",
"##f",
"##6",
"##9",
"##6",
"##b",
"##2",
"##ad",
"##9",
"##2",
"##d",
"##bb",
"##9",
"##b",
"##5",
"##2",
"##ce",
"##b",
"##33",
"##ec",
"##0",
"##eda",
"##5",
"##b",
"##f",
"##d",
"##b",
"##70",
"##5",
"##2",
"##d",
"##f",
"##4",
"##9",
"##14",
"##c",
"##0",
"##9",
"##19",
"##ca",
"##dd",
"##b",
"##9",
"##d",
"##f",
"##c",
"##f",
"4",
".",
"ripe",
"##m",
"##d",
":",
"1",
"##f",
"##14",
"##2",
"##c",
"##5",
"##ea",
"##48",
"##53",
"##0",
"##6",
"##3",
"##ed",
"##6",
"##d",
"##c",
"##3",
"##c",
"##13",
"##aa",
"##a",
"##8",
"##25",
"##7",
"##c",
"##d",
"##7",
"##da",
"##f",
"##11",
"5",
".",
"pre",
"##pen",
"##d",
"version",
":",
"68",
"##1",
"##f",
"##14",
"##2",
"##c",
"##5",
"##ea",
"##48",
"##53",
"##0",
"##6",
"##3",
"##ed",
"##6",
"##d",
"##c",
"##3",
"##c",
"##13",
"##aa",
"##a",
"##8",
"##25",
"##7",
"##c",
"##d",
"##7",
"##da",
"##f",
"##11",
"6",
".",
"s",
"##ha",
"##3",
"-",
"256",
"of",
"above",
":",
"09",
"##13",
"##2",
"##a",
"##5",
"##ea",
"##90",
"##ab",
"##7",
"##fa",
"##0",
"##7",
"##7",
"##8",
"##47",
"##a",
"##6",
"##9",
"##9",
"##b",
"##41",
"##9",
"##9",
"##6",
"##9",
"##1",
"##b",
"##41",
"##30",
"##f",
"##6",
"##6",
"##8",
"##7",
"##6",
"##25",
"##4",
"##ead",
"##d",
"##70",
"##ae",
"##45",
"##9",
"##d",
"##bb",
"##53",
"7",
".",
"4",
"-",
"by",
"##te",
"checks",
"##um",
":",
"09",
"##13",
"##2",
"##a",
"##5",
"##e",
"(",
"first",
"4",
"by",
"##tes",
"of",
"the",
"above",
")",
"8",
".",
"binary",
"address",
":",
"68",
"##1",
"##f",
"##14",
"##2",
"##c",
"##5",
"##ea",
"##48",
"##53",
"##0",
"##6",
"##3",
"##ed",
"##6",
"##d",
"##c",
"##3",
"##c",
"##13",
"##aa",
"##a",
"##8",
"##25",
"##7",
"##c",
"##d",
"##7",
"##da",
"##f",
"##11",
"##0",
"##9",
"##13",
"##2",
"##a",
"##5",
"##e",
"9",
".",
"base",
"-",
"32",
"encoding",
":",
"N",
"##AP",
"##RI",
"##LC",
"##6",
"##US",
"##CT",
"##A",
"##Y",
"##7",
"##N",
"##N",
"##X",
"##B",
"##4",
"##CO",
"##V",
"##K",
"##Q",
"##J",
"##L",
"##42",
"##7",
"##NP",
"##CE",
"##ER",
"##G",
"##KS",
"##6",
"10",
".",
"pretty",
"-",
"print",
":",
"N",
"##AP",
"##RI",
"##L",
"-",
"C",
"##6",
"##US",
"##CT",
"-",
"A",
"##Y",
"##7",
"##N",
"##N",
"##X",
"-",
"B",
"##4",
"##CO",
"##V",
"##K",
"-",
"Q",
"##J",
"##L",
"##42",
"##7",
"-",
"N",
"##PC",
"##EE",
"##R",
"-",
"G",
"##KS",
"##6",
"Page",
"4",
"of",
"54",
"Public",
"Key",
":",
"X",
"Y",
"32",
"by",
"##tes",
"compressed",
"-",
"public",
"-",
"key",
"ripe",
"##m",
"##d",
"##16",
"##0",
"(",
"s",
"##ha",
"##3",
"256",
"(",
"compressed",
"-",
"public",
"-",
"key",
")",
")",
"1",
"20",
"by",
"##tes",
"Network",
"by",
"##te",
":",
"0",
"##x",
"##6",
"##8",
"-",
"main",
"net",
"0",
"##x",
"##9",
"##8",
"-",
"test",
"net",
"s",
"##ha",
"##3",
"256",
"(",
"1",
"20",
"by",
"##tes"
] | NEM White paper | 640 |
. . . 46
8.4 Coupling and threshold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
9 Network 49
9.1 Node Protocol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
9.2 Node Startup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
9.3 Node Discovery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
9.3.1 Announcement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
9.3.2 Refresh . . . . . . . . . . . . . . . . . . . . | [
114,
114,
2724,
1118,
3052,
119,
119,
119,
1743,
1118,
3052,
1527,
1118,
3052,
125,
1118,
3052,
10973,
1118,
3052,
1475,
13480,
4134,
118,
1512,
1118,
3052,
151,
14962,
15577,
2346,
118,
16151,
10783,
27617,
118,
5117,
1592,
5301,
1477,
2069,
118,
159,
1495,
2559,
1527,
5301,
3048,
118,
5227,
3190,
2924,
17600,
118,
161,
4880,
1559,
1495,
2346,
1559,
118,
152,
2064,
1942,
1571,
5524,
118,
2724,
18922,
15982,
123,
131,
24930,
18380,
3964,
8500,
126,
1104,
4335,
123,
119,
125,
1130,
5208,
15937,
4134,
13213,
1135,
1110,
1936,
1115,
1160,
1472,
1470,
6631,
1209,
10972,
1103,
1269,
4134,
119,
1409,
1216,
1126,
4134,
2515,
161,
15577,
1122,
1156,
1129,
1936,
1111,
1126,
19114,
1106,
10570,
4381,
1121,
1216,
3300,
119,
1130,
1546,
1111,
1103,
2035,
1106,
9381,
117,
1103,
19114,
1156,
1444,
1106,
1525,
170,
2029,
116,
1470,
2501,
25033,
1216,
1115,
1103,
188,
2328,
1495,
18440,
1104,
1103,
1470,
2501,
1156,
1120,
1103,
1269,
1159,
1129,
4463,
1106,
1103,
27087,
1306,
1181,
118,
7690,
3073,
8628,
2176,
1104,
7690,
118,
2113,
1144,
1324,
3025,
1807,
119,
1967,
188,
2328,
1495,
18440,
3272,
11965,
9182,
1104,
2699,
117,
1122,
112,
188,
9988,
1193,
24034,
2180,
2822,
2165,
1111,
170,
1423,
188,
2328,
1495,
18440,
13213,
1106,
1129,
1276,
119,
4187,
1106,
12672,
1206,
26546,
2107,
11869,
1105,
27400,
2528,
1394,
11869,
117,
1103,
9750,
1104,
3989,
170,
26546,
2107,
4134,
13213,
1110,
4986,
1103,
1269,
1112,
1115,
1104,
3989,
170,
27400,
2528,
1394,
4134,
13213,
119,
8500,
127,
1104,
4335,
124,
15586,
6451,
9543,
107,
146,
4628,
1103,
4495,
1107,
6708,
1104,
1470,
2501,
5354,
6451,
9543,
1133,
1122,
112,
21718,
2339,
1427,
1277,
4946,
1190,
146,
2637,
119,
146,
1225,
1136,
5363,
1122,
1106,
1129,
170,
1514,
8419,
1183,
1104,
3682,
6678,
2815,
119,
107,
118,
160,
17481,
2427,
12120,
3101,
1663,
139,
5842,
4129,
2815,
7252,
1103,
1329,
1104,
1199,
5354,
6451,
9597,
8550,
119,
26546,
2107,
117,
1176,
1242,
1168,
5354,
6451,
1186,
16408,
11604,
9885,
117,
1110,
1606,
5354,
6451,
9543,
1359,
1113,
2896,
24021,
140,
2149,
2707,
15586,
6451,
9543,
119,
1109,
3026,
1104,
1103,
10311,
7660,
1110,
24034,
1766,
118,
15925,
1204,
1107,
1546,
1106,
11865,
2699,
1105,
2420,
119,
26546,
2107,
1144,
3468,
1106,
1329,
1103,
157,
10073,
8546,
6847,
7660,
131,
851,
1775,
1477,
116,
194,
1477,
134,
122,
25532,
12794,
1545,
27677,
12794,
1545,
1545,
1545,
193,
1477,
1183,
1477,
1166,
1103,
10996,
1768,
3393,
1118,
1103,
5748,
1295,
15684,
1571,
851,
1627,
1487,
1114,
1103,
3539,
8250,
9932,
1270,
5316,
17600,
24050,
1580,
119,
1135,
1108,
1872,
1118,
141,
119,
147,
119,
20436,
3084,
2393,
119,
1105,
1110,
1141,
1104,
1103,
2914,
2050,
1105,
7901,
3539,
8250,
14975,
164,
123,
166,
119,
1109,
2259,
1553,
1111,
1103,
7671,
1372,
144,
1110,
1270,
139,
119,
1109,
1372,
1144,
186,
134,
15684,
1477,
851,
1765,
1559,
23117,
22639,
1559,
1559,
1559,
1559,
26303,
22737,
24239,
24239,
1571,
1604,
24050,
1580,
26303,
1559,
21500,
1604,
1604,
22997,
19203,
1527,
1580,
1495,
3050,
119,
4081,
1372,
5290,
138,
1169,
1129,
4035,
118
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
13,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
13,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
")",
")",
"32",
"by",
"##tes",
".",
".",
".",
"28",
"by",
"##tes",
"##4",
"by",
"##tes",
"4",
"by",
"##tes",
"##20",
"by",
"##tes",
"##1",
"binary",
"address",
"-",
"25",
"by",
"##tes",
"N",
"##AN",
"##EM",
"##O",
"-",
"AB",
"##LA",
"##GR",
"-",
"72",
"##A",
"##Z",
"##2",
"##R",
"-",
"V",
"##3",
"##V",
"##4",
"##Z",
"##H",
"-",
"DC",
"##X",
"##W",
"##25",
"-",
"X",
"##Q",
"##7",
"##3",
"##O",
"##7",
"-",
"O",
"##B",
"##T",
"##5",
"Base",
"-",
"32",
"encoding",
"Figure",
"2",
":",
"Ad",
"##dress",
"generation",
"Page",
"5",
"of",
"54",
"2",
".",
"4",
"In",
"##ten",
"##tional",
"address",
"collision",
"It",
"is",
"possible",
"that",
"two",
"different",
"public",
"keys",
"will",
"yield",
"the",
"same",
"address",
".",
"If",
"such",
"an",
"address",
"contains",
"X",
"##EM",
"it",
"would",
"be",
"possible",
"for",
"an",
"attacker",
"to",
"withdraw",
"funds",
"from",
"such",
"account",
".",
"In",
"order",
"for",
"the",
"attack",
"to",
"succeed",
",",
"the",
"attacker",
"would",
"need",
"to",
"find",
"a",
"private",
"+",
"public",
"key",
"##pair",
"such",
"that",
"the",
"s",
"##ha",
"##3",
"256",
"of",
"the",
"public",
"key",
"would",
"at",
"the",
"same",
"time",
"be",
"equal",
"to",
"the",
"ripe",
"##m",
"##d",
"-",
"160",
"pre",
"##ima",
"##ge",
"of",
"160",
"-",
"bit",
"has",
"##h",
"mentioned",
"above",
".",
"Since",
"s",
"##ha",
"##3",
"256",
"offers",
"128",
"bits",
"of",
"security",
",",
"it",
"'",
"s",
"mathematical",
"##ly",
"imp",
"##ro",
"##ba",
"##ble",
"for",
"a",
"single",
"s",
"##ha",
"##3",
"256",
"collision",
"to",
"be",
"found",
".",
"Due",
"to",
"similarities",
"between",
"NE",
"##M",
"addresses",
"and",
"Bit",
"##co",
"##in",
"addresses",
",",
"the",
"probability",
"of",
"causing",
"a",
"NE",
"##M",
"address",
"collision",
"is",
"roughly",
"the",
"same",
"as",
"that",
"of",
"causing",
"a",
"Bit",
"##co",
"##in",
"address",
"collision",
".",
"Page",
"6",
"of",
"54",
"3",
"Cry",
"##pt",
"##ography",
"\"",
"I",
"understood",
"the",
"importance",
"in",
"principle",
"of",
"public",
"key",
"cry",
"##pt",
"##ography",
"but",
"it",
"'",
"sa",
"##ll",
"moved",
"much",
"faster",
"than",
"I",
"expected",
".",
"I",
"did",
"not",
"expect",
"it",
"to",
"be",
"a",
"main",
"##sta",
"##y",
"of",
"advanced",
"communications",
"technology",
".",
"\"",
"-",
"W",
"##hit",
"##field",
"Di",
"##ff",
"##ie",
"B",
"lock",
"chain",
"technology",
"demands",
"the",
"use",
"of",
"some",
"cry",
"##pt",
"##ographic",
"concepts",
".",
"NE",
"##M",
",",
"like",
"many",
"other",
"cry",
"##pt",
"##o",
"cu",
"##rre",
"##ncies",
",",
"is",
"using",
"cry",
"##pt",
"##ography",
"based",
"on",
"El",
"##liptic",
"C",
"##ur",
"##ve",
"Cry",
"##pt",
"##ography",
".",
"The",
"choice",
"of",
"the",
"underlying",
"curve",
"is",
"imp",
"##or",
"-",
"tan",
"##t",
"in",
"order",
"to",
"guarantee",
"security",
"and",
"speed",
".",
"NE",
"##M",
"has",
"chosen",
"to",
"use",
"the",
"T",
"##wi",
"##sted",
"Edwards",
"curve",
":",
"β",
"##x",
"##2",
"+",
"y",
"##2",
"=",
"1",
"##β",
"121",
"##6",
"##65",
"121",
"##6",
"##6",
"##6",
"x",
"##2",
"##y",
"##2",
"over",
"the",
"finite",
"field",
"defined",
"by",
"the",
"prime",
"number",
"225",
"##5",
"β",
"19",
"together",
"with",
"the",
"digital",
"signature",
"algorithm",
"called",
"Ed",
"##25",
"##51",
"##9",
".",
"It",
"was",
"developed",
"by",
"D",
".",
"J",
".",
"Bernstein",
"et",
"al",
".",
"and",
"is",
"one",
"of",
"the",
"safe",
"##st",
"and",
"fastest",
"digital",
"signature",
"algorithms",
"[",
"2",
"]",
".",
"The",
"base",
"point",
"for",
"the",
"corresponding",
"group",
"G",
"is",
"called",
"B",
".",
"The",
"group",
"has",
"q",
"=",
"225",
"##2",
"β",
"27",
"##7",
"##42",
"##31",
"##7",
"##7",
"##7",
"##7",
"##37",
"##23",
"##53",
"##53",
"##5",
"##8",
"##51",
"##9",
"##37",
"##7",
"##90",
"##8",
"##8",
"##36",
"##48",
"##4",
"##9",
"##3",
"elements",
".",
"Every",
"group",
"element",
"A",
"can",
"be",
"en",
"-"
] | NEM White paper | 641 |
. . . 46
8.4 Coupling and threshold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
9 Network 49
9.1 Node Protocol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
9.2 Node Startup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
9.3 Node Discovery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
9.3.1 Announcement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
9.3.2 Refresh . . . . . . . . . . . . . . . . . . . . | [
114,
114,
2724,
1118,
3052,
119,
119,
119,
1743,
1118,
3052,
1527,
1118,
3052,
125,
1118,
3052,
10973,
1118,
3052,
1475,
13480,
4134,
118,
1512,
1118,
3052,
151,
14962,
15577,
2346,
118,
16151,
10783,
27617,
118,
5117,
1592,
5301,
1477,
2069,
118,
159,
1495,
2559,
1527,
5301,
3048,
118,
5227,
3190,
2924,
17600,
118,
161,
4880,
1559,
1495,
2346,
1559,
118,
152,
2064,
1942,
1571,
5524,
118,
2724,
18922,
15982,
123,
131,
24930,
18380,
3964,
8500,
126,
1104,
4335,
123,
119,
125,
1130,
5208,
15937,
4134,
13213,
1135,
1110,
1936,
1115,
1160,
1472,
1470,
6631,
1209,
10972,
1103,
1269,
4134,
119,
1409,
1216,
1126,
4134,
2515,
161,
15577,
1122,
1156,
1129,
1936,
1111,
1126,
19114,
1106,
10570,
4381,
1121,
1216,
3300,
119,
1130,
1546,
1111,
1103,
2035,
1106,
9381,
117,
1103,
19114,
1156,
1444,
1106,
1525,
170,
2029,
116,
1470,
2501,
25033,
1216,
1115,
1103,
188,
2328,
1495,
18440,
1104,
1103,
1470,
2501,
1156,
1120,
1103,
1269,
1159,
1129,
4463,
1106,
1103,
27087,
1306,
1181,
118,
7690,
3073,
8628,
2176,
1104,
7690,
118,
2113,
1144,
1324,
3025,
1807,
119,
1967,
188,
2328,
1495,
18440,
3272,
11965,
9182,
1104,
2699,
117,
1122,
112,
188,
9988,
1193,
24034,
2180,
2822,
2165,
1111,
170,
1423,
188,
2328,
1495,
18440,
13213,
1106,
1129,
1276,
119,
4187,
1106,
12672,
1206,
26546,
2107,
11869,
1105,
27400,
2528,
1394,
11869,
117,
1103,
9750,
1104,
3989,
170,
26546,
2107,
4134,
13213,
1110,
4986,
1103,
1269,
1112,
1115,
1104,
3989,
170,
27400,
2528,
1394,
4134,
13213,
119,
8500,
127,
1104,
4335,
124,
15586,
6451,
9543,
107,
146,
4628,
1103,
4495,
1107,
6708,
1104,
1470,
2501,
5354,
6451,
9543,
1133,
1122,
112,
21718,
2339,
1427,
1277,
4946,
1190,
146,
2637,
119,
146,
1225,
1136,
5363,
1122,
1106,
1129,
170,
1514,
8419,
1183,
1104,
3682,
6678,
2815,
119,
107,
118,
160,
17481,
2427,
12120,
3101,
1663,
139,
5842,
4129,
2815,
7252,
1103,
1329,
1104,
1199,
5354,
6451,
9597,
8550,
119,
26546,
2107,
117,
1176,
1242,
1168,
5354,
6451,
1186,
16408,
11604,
9885,
117,
1110,
1606,
5354,
6451,
9543,
1359,
1113,
2896,
24021,
140,
2149,
2707,
15586,
6451,
9543,
119,
1109,
3026,
1104,
1103,
10311,
7660,
1110,
24034,
1766,
118,
15925,
1204,
1107,
1546,
1106,
11865,
2699,
1105,
2420,
119,
26546,
2107,
1144,
3468,
1106,
1329,
1103,
157,
10073,
8546,
6847,
7660,
131,
851,
1775,
1477,
116,
194,
1477,
134,
122,
25532,
12794,
1545,
27677,
12794,
1545,
1545,
1545,
193,
1477,
1183,
1477,
1166,
1103,
10996,
1768,
3393,
1118,
1103,
5748,
1295,
15684,
1571,
851,
1627,
1487,
1114,
1103,
3539,
8250,
9932,
1270,
5316,
17600,
24050,
1580,
119,
1135,
1108,
1872,
1118,
141,
119,
147,
119,
20436,
3084,
2393,
119,
1105,
1110,
1141,
1104,
1103,
2914,
2050,
1105,
7901,
3539,
8250,
14975,
164,
123,
166,
119,
1109,
2259,
1553,
1111,
1103,
7671,
1372,
144,
1110,
1270,
139,
119,
1109,
1372,
1144,
186,
134,
15684,
1477,
851,
1765,
1559,
23117,
22639,
1559,
1559,
1559,
1559,
26303,
22737,
24239,
24239,
1571,
1604,
24050,
1580,
26303,
1559,
21500,
1604,
1604,
22997,
19203,
1527,
1580,
1495,
3050,
119,
4081,
1372,
5290,
138,
1169,
1129,
4035,
118
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
")",
")",
"32",
"by",
"##tes",
".",
".",
".",
"28",
"by",
"##tes",
"##4",
"by",
"##tes",
"4",
"by",
"##tes",
"##20",
"by",
"##tes",
"##1",
"binary",
"address",
"-",
"25",
"by",
"##tes",
"N",
"##AN",
"##EM",
"##O",
"-",
"AB",
"##LA",
"##GR",
"-",
"72",
"##A",
"##Z",
"##2",
"##R",
"-",
"V",
"##3",
"##V",
"##4",
"##Z",
"##H",
"-",
"DC",
"##X",
"##W",
"##25",
"-",
"X",
"##Q",
"##7",
"##3",
"##O",
"##7",
"-",
"O",
"##B",
"##T",
"##5",
"Base",
"-",
"32",
"encoding",
"Figure",
"2",
":",
"Ad",
"##dress",
"generation",
"Page",
"5",
"of",
"54",
"2",
".",
"4",
"In",
"##ten",
"##tional",
"address",
"collision",
"It",
"is",
"possible",
"that",
"two",
"different",
"public",
"keys",
"will",
"yield",
"the",
"same",
"address",
".",
"If",
"such",
"an",
"address",
"contains",
"X",
"##EM",
"it",
"would",
"be",
"possible",
"for",
"an",
"attacker",
"to",
"withdraw",
"funds",
"from",
"such",
"account",
".",
"In",
"order",
"for",
"the",
"attack",
"to",
"succeed",
",",
"the",
"attacker",
"would",
"need",
"to",
"find",
"a",
"private",
"+",
"public",
"key",
"##pair",
"such",
"that",
"the",
"s",
"##ha",
"##3",
"256",
"of",
"the",
"public",
"key",
"would",
"at",
"the",
"same",
"time",
"be",
"equal",
"to",
"the",
"ripe",
"##m",
"##d",
"-",
"160",
"pre",
"##ima",
"##ge",
"of",
"160",
"-",
"bit",
"has",
"##h",
"mentioned",
"above",
".",
"Since",
"s",
"##ha",
"##3",
"256",
"offers",
"128",
"bits",
"of",
"security",
",",
"it",
"'",
"s",
"mathematical",
"##ly",
"imp",
"##ro",
"##ba",
"##ble",
"for",
"a",
"single",
"s",
"##ha",
"##3",
"256",
"collision",
"to",
"be",
"found",
".",
"Due",
"to",
"similarities",
"between",
"NE",
"##M",
"addresses",
"and",
"Bit",
"##co",
"##in",
"addresses",
",",
"the",
"probability",
"of",
"causing",
"a",
"NE",
"##M",
"address",
"collision",
"is",
"roughly",
"the",
"same",
"as",
"that",
"of",
"causing",
"a",
"Bit",
"##co",
"##in",
"address",
"collision",
".",
"Page",
"6",
"of",
"54",
"3",
"Cry",
"##pt",
"##ography",
"\"",
"I",
"understood",
"the",
"importance",
"in",
"principle",
"of",
"public",
"key",
"cry",
"##pt",
"##ography",
"but",
"it",
"'",
"sa",
"##ll",
"moved",
"much",
"faster",
"than",
"I",
"expected",
".",
"I",
"did",
"not",
"expect",
"it",
"to",
"be",
"a",
"main",
"##sta",
"##y",
"of",
"advanced",
"communications",
"technology",
".",
"\"",
"-",
"W",
"##hit",
"##field",
"Di",
"##ff",
"##ie",
"B",
"lock",
"chain",
"technology",
"demands",
"the",
"use",
"of",
"some",
"cry",
"##pt",
"##ographic",
"concepts",
".",
"NE",
"##M",
",",
"like",
"many",
"other",
"cry",
"##pt",
"##o",
"cu",
"##rre",
"##ncies",
",",
"is",
"using",
"cry",
"##pt",
"##ography",
"based",
"on",
"El",
"##liptic",
"C",
"##ur",
"##ve",
"Cry",
"##pt",
"##ography",
".",
"The",
"choice",
"of",
"the",
"underlying",
"curve",
"is",
"imp",
"##or",
"-",
"tan",
"##t",
"in",
"order",
"to",
"guarantee",
"security",
"and",
"speed",
".",
"NE",
"##M",
"has",
"chosen",
"to",
"use",
"the",
"T",
"##wi",
"##sted",
"Edwards",
"curve",
":",
"β",
"##x",
"##2",
"+",
"y",
"##2",
"=",
"1",
"##β",
"121",
"##6",
"##65",
"121",
"##6",
"##6",
"##6",
"x",
"##2",
"##y",
"##2",
"over",
"the",
"finite",
"field",
"defined",
"by",
"the",
"prime",
"number",
"225",
"##5",
"β",
"19",
"together",
"with",
"the",
"digital",
"signature",
"algorithm",
"called",
"Ed",
"##25",
"##51",
"##9",
".",
"It",
"was",
"developed",
"by",
"D",
".",
"J",
".",
"Bernstein",
"et",
"al",
".",
"and",
"is",
"one",
"of",
"the",
"safe",
"##st",
"and",
"fastest",
"digital",
"signature",
"algorithms",
"[",
"2",
"]",
".",
"The",
"base",
"point",
"for",
"the",
"corresponding",
"group",
"G",
"is",
"called",
"B",
".",
"The",
"group",
"has",
"q",
"=",
"225",
"##2",
"β",
"27",
"##7",
"##42",
"##31",
"##7",
"##7",
"##7",
"##7",
"##37",
"##23",
"##53",
"##53",
"##5",
"##8",
"##51",
"##9",
"##37",
"##7",
"##90",
"##8",
"##8",
"##36",
"##48",
"##4",
"##9",
"##3",
"elements",
".",
"Every",
"group",
"element",
"A",
"can",
"be",
"en",
"-"
] | NEM White paper | 642 |
. . . . . . . . . . . . . 51
9.4 Node Selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Preface
" You miss 100% of the shots you don't take. "- Wayne Gretzky
NEM is a movement that aims to empower individuals by creating a new economy based
on the principles of decentralization, financial freedom, and equality of opportunity.
We would like to thank the contributors and the many people who have inspired us. . .
BloodyRookie gimre Jaguar0625 Makoto
1 Introduction
" H | [
25799,
1154,
170,
18440,
2113,
18157,
138,
1134,
1169,
1145,
1129,
9829,
1112,
18440,
118,
2113,
5101,
1105,
138,
1169,
1129,
1260,
13775,
1181,
1106,
3531,
138,
1254,
119,
1370,
4068,
1267,
164,
123,
166,
119,
1370,
1103,
1144,
1324,
3053,
145,
3025,
1107,
1103,
2526,
117,
26546,
2107,
2745,
1103,
27445,
2113,
17730,
1592,
1495,
1144,
1324,
3053,
119,
124,
119,
122,
7219,
1105,
1470,
2501,
1109,
2029,
2501,
1110,
170,
7091,
18440,
118,
2113,
18157,
180,
119,
1706,
20292,
1103,
1470,
2501,
138,
1121,
1122,
117,
1103,
1378,
3343,
1132,
1678,
131,
145,
113,
180,
114,
134,
113,
177,
1568,
117,
177,
1475,
117,
119,
119,
119,
117,
177,
24050,
1475,
114,
113,
122,
114,
170,
134,
15684,
1527,
116,
100,
124,
28757,
1182,
28757,
17600,
1495,
123,
21656,
1182,
113,
123,
114,
138,
134,
170,
2064,
113,
124,
114,
1967,
138,
1110,
170,
1372,
5290,
1122,
1169,
1129,
12544,
1154,
170,
18440,
118,
2113,
18157,
138,
1134,
3411,
1112,
1103,
1470,
2501,
119,
8500,
128,
1104,
4335,
124,
119,
123,
20979,
1158,
1105,
1396,
12231,
1104,
170,
8250,
10470,
170,
3802,
150,
117,
2029,
2501,
180,
1105,
1157,
2628,
1470,
2501,
138,
117,
1103,
1378,
3343,
1132,
1678,
1106,
2561,
170,
8250,
131,
145,
113,
180,
114,
134,
113,
177,
1568,
117,
177,
1475,
117,
119,
119,
119,
117,
177,
24050,
1475,
114,
113,
125,
114,
187,
134,
145,
113,
177,
17600,
1545,
117,
119,
119,
119,
117,
177,
24050,
1475,
117,
150,
114,
1187,
1103,
3254,
1918,
2086,
14255,
20127,
9199,
119,
113,
126,
114,
155,
134,
187,
2064,
113,
127,
114,
156,
134,
113,
187,
116,
145,
113,
155,
117,
138,
117,
150,
114,
170,
114,
182,
5412,
186,
113,
128,
114,
1599,
113,
155,
117,
156,
114,
1110,
1103,
8250,
1111,
1103,
3802,
150,
1223,
1103,
2029,
2501,
180,
119,
5322,
1115,
1178,
17926,
1187,
156,
133,
186,
1105,
156,
135,
121,
1132,
1737,
1112,
9221,
1106,
3843,
1103,
2463,
1104,
8250,
8796,
4490,
5474,
119,
1706,
23073,
1103,
8250,
113,
155,
117,
156,
114,
1111,
1103,
1549,
3802,
150,
1105,
1470,
2501,
138,
1141,
15008,
156,
133,
186,
1105,
156,
135,
121,
1105,
1173,
20446,
1116,
155,
28311,
134,
156,
2064,
851,
3048,
113,
155,
117,
138,
117,
150,
114,
138,
1105,
1396,
2047,
16847,
1115,
155,
28311,
134,
155,
113,
129,
114,
1409,
156,
1108,
3254,
18505,
1112,
2602,
1107,
113,
128,
114,
1173,
156,
2064,
134,
187,
2064,
116,
113,
145,
113,
155,
117,
138,
117,
150,
114,
170,
114,
139,
134,
155,
116,
145,
113,
155,
117,
138,
117,
150,
114,
138,
1177,
113,
129,
114,
1209,
2080,
119,
124,
119,
124,
13832,
2528,
3408,
1105,
1260,
2528,
3408,
7416,
26546,
2107,
2745,
9326,
3488,
3457,
3856,
112,
188,
138,
9919,
3510,
172,
9717,
4679,
7249,
1107,
13979,
5418,
1527,
1106,
4035,
1665,
1616,
6451,
1105,
1260,
1665,
1616,
6451,
7416,
119,
1409,
4953,
1144,
1103,
2029,
2501,
180,
1592,
1105,
3349,
1106,
4035,
1665,
1616,
6451,
170,
3802,
1111,
3162,
1150,
1144,
1103,
1470,
2501,
16151,
113,
1114,
7671
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
1,
2,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
21,
22,
22,
22,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
1,
2,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
21,
22,
22,
22,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"coded",
"into",
"a",
"256",
"bit",
"integer",
"A",
"which",
"can",
"also",
"be",
"interpreted",
"as",
"256",
"-",
"bit",
"string",
"and",
"A",
"can",
"be",
"de",
"##code",
"##d",
"to",
"receive",
"A",
"again",
".",
"For",
"details",
"see",
"[",
"2",
"]",
".",
"For",
"the",
"has",
"##h",
"function",
"H",
"mentioned",
"in",
"the",
"paper",
",",
"NE",
"##M",
"uses",
"the",
"512",
"bit",
"SH",
"##A",
"##3",
"has",
"##h",
"function",
".",
"3",
".",
"1",
"Private",
"and",
"public",
"key",
"The",
"private",
"key",
"is",
"a",
"random",
"256",
"-",
"bit",
"integer",
"k",
".",
"To",
"derive",
"the",
"public",
"key",
"A",
"from",
"it",
",",
"the",
"following",
"steps",
"are",
"taken",
":",
"H",
"(",
"k",
")",
"=",
"(",
"h",
"##0",
",",
"h",
"##1",
",",
".",
".",
".",
",",
"h",
"##51",
"##1",
")",
"(",
"1",
")",
"a",
"=",
"225",
"##4",
"+",
"[UNK]",
"3",
"##β€",
"##i",
"##β€",
"##25",
"##3",
"2",
"##ih",
"##i",
"(",
"2",
")",
"A",
"=",
"a",
"##B",
"(",
"3",
")",
"Since",
"A",
"is",
"a",
"group",
"element",
"it",
"can",
"be",
"encoded",
"into",
"a",
"256",
"-",
"bit",
"integer",
"A",
"which",
"serves",
"as",
"the",
"public",
"key",
".",
"Page",
"7",
"of",
"54",
"3",
".",
"2",
"Sign",
"##ing",
"and",
"ve",
"##rification",
"of",
"a",
"signature",
"Given",
"a",
"message",
"M",
",",
"private",
"key",
"k",
"and",
"its",
"associated",
"public",
"key",
"A",
",",
"the",
"following",
"steps",
"are",
"taken",
"to",
"create",
"a",
"signature",
":",
"H",
"(",
"k",
")",
"=",
"(",
"h",
"##0",
",",
"h",
"##1",
",",
".",
".",
".",
",",
"h",
"##51",
"##1",
")",
"(",
"4",
")",
"r",
"=",
"H",
"(",
"h",
"##25",
"##6",
",",
".",
".",
".",
",",
"h",
"##51",
"##1",
",",
"M",
")",
"where",
"the",
"com",
"##ma",
"means",
"con",
"##cate",
"##nation",
".",
"(",
"5",
")",
"R",
"=",
"r",
"##B",
"(",
"6",
")",
"S",
"=",
"(",
"r",
"+",
"H",
"(",
"R",
",",
"A",
",",
"M",
")",
"a",
")",
"m",
"##od",
"q",
"(",
"7",
")",
"Then",
"(",
"R",
",",
"S",
")",
"is",
"the",
"signature",
"for",
"the",
"message",
"M",
"under",
"the",
"private",
"key",
"k",
".",
"Note",
"that",
"only",
"signatures",
"where",
"S",
"<",
"q",
"and",
"S",
">",
"0",
"are",
"considered",
"as",
"valid",
"to",
"prevent",
"the",
"problem",
"of",
"signature",
"mall",
"##ea",
"##bility",
".",
"To",
"verify",
"the",
"signature",
"(",
"R",
",",
"S",
")",
"for",
"the",
"given",
"message",
"M",
"and",
"public",
"key",
"A",
"one",
"checks",
"S",
"<",
"q",
"and",
"S",
">",
"0",
"and",
"then",
"calculate",
"##s",
"R",
"##Μ",
"=",
"S",
"##B",
"β",
"##H",
"(",
"R",
",",
"A",
",",
"M",
")",
"A",
"and",
"ve",
"##ri",
"##fies",
"that",
"R",
"##Μ",
"=",
"R",
"(",
"8",
")",
"If",
"S",
"was",
"com",
"##puted",
"as",
"shown",
"in",
"(",
"7",
")",
"then",
"S",
"##B",
"=",
"r",
"##B",
"+",
"(",
"H",
"(",
"R",
",",
"A",
",",
"M",
")",
"a",
")",
"B",
"=",
"R",
"+",
"H",
"(",
"R",
",",
"A",
",",
"M",
")",
"A",
"so",
"(",
"8",
")",
"will",
"hold",
".",
"3",
".",
"3",
"En",
"##co",
"##ding",
"and",
"de",
"##co",
"##ding",
"messages",
"NE",
"##M",
"uses",
"Bo",
"##un",
"##cy",
"Castle",
"'",
"s",
"A",
"##ES",
"block",
"c",
"##ip",
"##her",
"implementation",
"in",
"CBC",
"mode",
"##4",
"to",
"en",
"##c",
"##ry",
"##pt",
"and",
"de",
"##c",
"##ry",
"##pt",
"messages",
".",
"If",
"Alice",
"has",
"the",
"private",
"key",
"k",
"##A",
"and",
"wants",
"to",
"en",
"##c",
"##ry",
"##pt",
"a",
"message",
"for",
"Bob",
"who",
"has",
"the",
"public",
"key",
"AB",
"(",
"with",
"corresponding"
] | NEM White paper | 643 |
. . . . . . . . . . . . . 51
9.4 Node Selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Preface
" You miss 100% of the shots you don't take. "- Wayne Gretzky
NEM is a movement that aims to empower individuals by creating a new economy based
on the principles of decentralization, financial freedom, and equality of opportunity.
We would like to thank the contributors and the many people who have inspired us. . .
BloodyRookie gimre Jaguar0625 Makoto
1 Introduction
" H | [
25799,
1154,
170,
18440,
2113,
18157,
138,
1134,
1169,
1145,
1129,
9829,
1112,
18440,
118,
2113,
5101,
1105,
138,
1169,
1129,
1260,
13775,
1181,
1106,
3531,
138,
1254,
119,
1370,
4068,
1267,
164,
123,
166,
119,
1370,
1103,
1144,
1324,
3053,
145,
3025,
1107,
1103,
2526,
117,
26546,
2107,
2745,
1103,
27445,
2113,
17730,
1592,
1495,
1144,
1324,
3053,
119,
124,
119,
122,
7219,
1105,
1470,
2501,
1109,
2029,
2501,
1110,
170,
7091,
18440,
118,
2113,
18157,
180,
119,
1706,
20292,
1103,
1470,
2501,
138,
1121,
1122,
117,
1103,
1378,
3343,
1132,
1678,
131,
145,
113,
180,
114,
134,
113,
177,
1568,
117,
177,
1475,
117,
119,
119,
119,
117,
177,
24050,
1475,
114,
113,
122,
114,
170,
134,
15684,
1527,
116,
100,
124,
28757,
1182,
28757,
17600,
1495,
123,
21656,
1182,
113,
123,
114,
138,
134,
170,
2064,
113,
124,
114,
1967,
138,
1110,
170,
1372,
5290,
1122,
1169,
1129,
12544,
1154,
170,
18440,
118,
2113,
18157,
138,
1134,
3411,
1112,
1103,
1470,
2501,
119,
8500,
128,
1104,
4335,
124,
119,
123,
20979,
1158,
1105,
1396,
12231,
1104,
170,
8250,
10470,
170,
3802,
150,
117,
2029,
2501,
180,
1105,
1157,
2628,
1470,
2501,
138,
117,
1103,
1378,
3343,
1132,
1678,
1106,
2561,
170,
8250,
131,
145,
113,
180,
114,
134,
113,
177,
1568,
117,
177,
1475,
117,
119,
119,
119,
117,
177,
24050,
1475,
114,
113,
125,
114,
187,
134,
145,
113,
177,
17600,
1545,
117,
119,
119,
119,
117,
177,
24050,
1475,
117,
150,
114,
1187,
1103,
3254,
1918,
2086,
14255,
20127,
9199,
119,
113,
126,
114,
155,
134,
187,
2064,
113,
127,
114,
156,
134,
113,
187,
116,
145,
113,
155,
117,
138,
117,
150,
114,
170,
114,
182,
5412,
186,
113,
128,
114,
1599,
113,
155,
117,
156,
114,
1110,
1103,
8250,
1111,
1103,
3802,
150,
1223,
1103,
2029,
2501,
180,
119,
5322,
1115,
1178,
17926,
1187,
156,
133,
186,
1105,
156,
135,
121,
1132,
1737,
1112,
9221,
1106,
3843,
1103,
2463,
1104,
8250,
8796,
4490,
5474,
119,
1706,
23073,
1103,
8250,
113,
155,
117,
156,
114,
1111,
1103,
1549,
3802,
150,
1105,
1470,
2501,
138,
1141,
15008,
156,
133,
186,
1105,
156,
135,
121,
1105,
1173,
20446,
1116,
155,
28311,
134,
156,
2064,
851,
3048,
113,
155,
117,
138,
117,
150,
114,
138,
1105,
1396,
2047,
16847,
1115,
155,
28311,
134,
155,
113,
129,
114,
1409,
156,
1108,
3254,
18505,
1112,
2602,
1107,
113,
128,
114,
1173,
156,
2064,
134,
187,
2064,
116,
113,
145,
113,
155,
117,
138,
117,
150,
114,
170,
114,
139,
134,
155,
116,
145,
113,
155,
117,
138,
117,
150,
114,
138,
1177,
113,
129,
114,
1209,
2080,
119,
124,
119,
124,
13832,
2528,
3408,
1105,
1260,
2528,
3408,
7416,
26546,
2107,
2745,
9326,
3488,
3457,
3856,
112,
188,
138,
9919,
3510,
172,
9717,
4679,
7249,
1107,
13979,
5418,
1527,
1106,
4035,
1665,
1616,
6451,
1105,
1260,
1665,
1616,
6451,
7416,
119,
1409,
4953,
1144,
1103,
2029,
2501,
180,
1592,
1105,
3349,
1106,
4035,
1665,
1616,
6451,
170,
3802,
1111,
3162,
1150,
1144,
1103,
1470,
2501,
16151,
113,
1114,
7671
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"coded",
"into",
"a",
"256",
"bit",
"integer",
"A",
"which",
"can",
"also",
"be",
"interpreted",
"as",
"256",
"-",
"bit",
"string",
"and",
"A",
"can",
"be",
"de",
"##code",
"##d",
"to",
"receive",
"A",
"again",
".",
"For",
"details",
"see",
"[",
"2",
"]",
".",
"For",
"the",
"has",
"##h",
"function",
"H",
"mentioned",
"in",
"the",
"paper",
",",
"NE",
"##M",
"uses",
"the",
"512",
"bit",
"SH",
"##A",
"##3",
"has",
"##h",
"function",
".",
"3",
".",
"1",
"Private",
"and",
"public",
"key",
"The",
"private",
"key",
"is",
"a",
"random",
"256",
"-",
"bit",
"integer",
"k",
".",
"To",
"derive",
"the",
"public",
"key",
"A",
"from",
"it",
",",
"the",
"following",
"steps",
"are",
"taken",
":",
"H",
"(",
"k",
")",
"=",
"(",
"h",
"##0",
",",
"h",
"##1",
",",
".",
".",
".",
",",
"h",
"##51",
"##1",
")",
"(",
"1",
")",
"a",
"=",
"225",
"##4",
"+",
"[UNK]",
"3",
"##β€",
"##i",
"##β€",
"##25",
"##3",
"2",
"##ih",
"##i",
"(",
"2",
")",
"A",
"=",
"a",
"##B",
"(",
"3",
")",
"Since",
"A",
"is",
"a",
"group",
"element",
"it",
"can",
"be",
"encoded",
"into",
"a",
"256",
"-",
"bit",
"integer",
"A",
"which",
"serves",
"as",
"the",
"public",
"key",
".",
"Page",
"7",
"of",
"54",
"3",
".",
"2",
"Sign",
"##ing",
"and",
"ve",
"##rification",
"of",
"a",
"signature",
"Given",
"a",
"message",
"M",
",",
"private",
"key",
"k",
"and",
"its",
"associated",
"public",
"key",
"A",
",",
"the",
"following",
"steps",
"are",
"taken",
"to",
"create",
"a",
"signature",
":",
"H",
"(",
"k",
")",
"=",
"(",
"h",
"##0",
",",
"h",
"##1",
",",
".",
".",
".",
",",
"h",
"##51",
"##1",
")",
"(",
"4",
")",
"r",
"=",
"H",
"(",
"h",
"##25",
"##6",
",",
".",
".",
".",
",",
"h",
"##51",
"##1",
",",
"M",
")",
"where",
"the",
"com",
"##ma",
"means",
"con",
"##cate",
"##nation",
".",
"(",
"5",
")",
"R",
"=",
"r",
"##B",
"(",
"6",
")",
"S",
"=",
"(",
"r",
"+",
"H",
"(",
"R",
",",
"A",
",",
"M",
")",
"a",
")",
"m",
"##od",
"q",
"(",
"7",
")",
"Then",
"(",
"R",
",",
"S",
")",
"is",
"the",
"signature",
"for",
"the",
"message",
"M",
"under",
"the",
"private",
"key",
"k",
".",
"Note",
"that",
"only",
"signatures",
"where",
"S",
"<",
"q",
"and",
"S",
">",
"0",
"are",
"considered",
"as",
"valid",
"to",
"prevent",
"the",
"problem",
"of",
"signature",
"mall",
"##ea",
"##bility",
".",
"To",
"verify",
"the",
"signature",
"(",
"R",
",",
"S",
")",
"for",
"the",
"given",
"message",
"M",
"and",
"public",
"key",
"A",
"one",
"checks",
"S",
"<",
"q",
"and",
"S",
">",
"0",
"and",
"then",
"calculate",
"##s",
"R",
"##Μ",
"=",
"S",
"##B",
"β",
"##H",
"(",
"R",
",",
"A",
",",
"M",
")",
"A",
"and",
"ve",
"##ri",
"##fies",
"that",
"R",
"##Μ",
"=",
"R",
"(",
"8",
")",
"If",
"S",
"was",
"com",
"##puted",
"as",
"shown",
"in",
"(",
"7",
")",
"then",
"S",
"##B",
"=",
"r",
"##B",
"+",
"(",
"H",
"(",
"R",
",",
"A",
",",
"M",
")",
"a",
")",
"B",
"=",
"R",
"+",
"H",
"(",
"R",
",",
"A",
",",
"M",
")",
"A",
"so",
"(",
"8",
")",
"will",
"hold",
".",
"3",
".",
"3",
"En",
"##co",
"##ding",
"and",
"de",
"##co",
"##ding",
"messages",
"NE",
"##M",
"uses",
"Bo",
"##un",
"##cy",
"Castle",
"'",
"s",
"A",
"##ES",
"block",
"c",
"##ip",
"##her",
"implementation",
"in",
"CBC",
"mode",
"##4",
"to",
"en",
"##c",
"##ry",
"##pt",
"and",
"de",
"##c",
"##ry",
"##pt",
"messages",
".",
"If",
"Alice",
"has",
"the",
"private",
"key",
"k",
"##A",
"and",
"wants",
"to",
"en",
"##c",
"##ry",
"##pt",
"a",
"message",
"for",
"Bob",
"who",
"has",
"the",
"public",
"key",
"AB",
"(",
"with",
"corresponding"
] | NEM White paper | 644 |
e'd say hello and introduce himself, but most of the cats turned a deaf ear,pretending they couldn't hear him, or stare right through him. "- Haruki Murakami
N
EM, in its most basic form, is a crypto currency that is built on block chain
technology. The NEM block chain is an improvement on existing block
chain technologies. It integrates concepts from other cryptocurrencies (e.g.
Bitcoin) and academic research in network theory.
NEM's primary contribution to the crypto currency landscape is a new consen | [
1372,
5290,
16151,
114,
1173,
1103,
3416,
3318,
1215,
1165,
3545,
1146,
1103,
172,
9717,
4679,
1110,
10056,
1112,
3226,
131,
170,
1592,
1110,
3254,
18505,
1121,
180,
1592,
2452,
1106,
113,
123,
114,
6870,
134,
2724,
7091,
1118,
3052,
144,
134,
170,
11189,
2064,
3416,
3318,
134,
145,
28311,
113,
144,
162,
6870,
114,
125,
17439,
1204,
1643,
131,
120,
120,
4035,
119,
192,
12635,
3537,
1465,
119,
8916,
120,
192,
12635,
120,
8093,
168,
172,
9717,
4679,
168,
5418,
168,
1104,
168,
2805,
108,
13979,
8500,
129,
1104,
4335,
8413,
131,
120,
120,
4035,
119,
192,
12635,
3537,
1465,
119,
8916,
120,
192,
12635,
120,
8093,
168,
172,
9717,
4679,
168,
5418,
168,
1104,
168,
2805,
108,
13979,
1187,
145,
28311,
1110,
1103,
18440,
118,
2113,
17730,
1592,
1495,
1144,
1324,
3053,
119,
2543,
1479,
7091,
1118,
3052,
1132,
1215,
1112,
4191,
2233,
119,
4516,
117,
1103,
4035,
1665,
1616,
15514,
3802,
21586,
2923,
1104,
122,
119,
1103,
6870,
123,
119,
1103,
4191,
2233,
124,
119,
1103,
4035,
1665,
1616,
15514,
3802,
3510,
13063,
1616,
18225,
1759,
1107,
170,
1861,
4758,
119,
3162,
1144,
1106,
1221,
4953,
112,
188,
1470,
2501,
10419,
113,
1105,
1117,
1319,
2029,
2501,
180,
2064,
114,
1105,
1103,
6870,
1106,
20292,
1103,
3416,
3318,
131,
170,
2064,
1110,
3254,
18505,
1121,
180,
2064,
2452,
1106,
113,
123,
114,
144,
134,
170,
8215,
1592,
3416,
3318,
134,
145,
28311,
113,
144,
162,
6870,
114,
17153,
1158,
1103,
3416,
3318,
1105,
1103,
4191,
2233,
1106,
1103,
172,
9717,
4679,
2395,
1260,
1665,
1616,
12024,
1103,
12544,
3802,
119,
8500,
130,
1104,
4335,
125,
13809,
22946,
107,
1706,
14715,
11179,
1671,
1114,
1103,
1873,
1150,
1868,
1103,
3245,
118,
11188,
4285,
5804,
3885,
1320,
1117,
157,
118,
2969,
1176,
170,
21413,
1105,
1108,
16408,
3740,
1105,
20494,
1112,
4400,
1105,
1400,
1171,
1107,
1103,
1610,
1105,
1228,
1195,
14877,
1254,
119,
107,
118,
2132,
26835,
20645,
7409,
157,
1868,
3202,
13945,
8698,
173,
21880,
20279,
1154,
170,
5354,
6451,
13335,
2149,
5123,
3457,
1449,
119,
1220,
1132,
1103,
1178,
1236,
1104,
25595,
1103,
1352,
1104,
1126,
3300,
119,
138,
3599,
1687,
13618,
1115,
1144,
1136,
1870,
1151,
1529,
1107,
170,
3510,
1110,
1270,
1126,
8362,
7235,
22750,
13618,
119,
12118,
7235,
22750,
14409,
1132,
1136,
13008,
1106,
1129,
1529,
1107,
1251,
3510,
119,
1249,
170,
1871,
117,
8362,
7235,
22750,
14409,
1138,
1185,
2629,
1113,
1103,
3300,
1352,
119,
1109,
3300,
1352,
1110,
1178,
8054,
1165,
170,
13618,
1110,
1529,
1107,
170,
25309,
3510,
1105,
8267,
3659,
119,
14380,
3322,
1104,
14409,
4056,
119,
2994,
2076,
1144,
170,
2747,
3007,
117,
174,
119,
176,
119,
4036,
161,
15577,
1121,
1141,
3300,
1106,
1330,
1137,
10454,
1126,
3300,
1106,
170,
4321,
5053,
1403,
3300,
119,
1967,
14409,
17914,
3979,
1104,
1103,
185,
1477,
1643,
2443,
1175,
1110,
170,
7216,
1111,
1296,
13618,
119,
1109,
7216,
9113,
1113,
1103,
13618,
2076,
1105,
1168,
11934,
1104,
1103,
13618,
119,
13809,
22946,
1138,
170,
17638,
119,
1409,
170,
13618,
1110,
1136,
1529,
1107,
170,
3510,
1196,
1157,
17638,
117,
1103
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"group",
"element",
"AB",
")",
"then",
"the",
"shared",
"secret",
"used",
"when",
"setting",
"up",
"the",
"c",
"##ip",
"##her",
"is",
"calculated",
"as",
"follows",
":",
"a",
"##A",
"is",
"com",
"##puted",
"from",
"k",
"##A",
"according",
"to",
"(",
"2",
")",
"salt",
"=",
"32",
"random",
"by",
"##tes",
"G",
"=",
"a",
"##AA",
"##B",
"shared",
"secret",
"=",
"H",
"##Μ",
"(",
"G",
"Y",
"salt",
")",
"4",
"##ht",
"##t",
"##p",
":",
"/",
"/",
"en",
".",
"w",
"##iki",
"##ped",
"##ia",
".",
"org",
"/",
"w",
"##iki",
"/",
"Block",
"_",
"c",
"##ip",
"##her",
"_",
"mode",
"_",
"of",
"_",
"operation",
"#",
"CBC",
"Page",
"8",
"of",
"54",
"http",
":",
"/",
"/",
"en",
".",
"w",
"##iki",
"##ped",
"##ia",
".",
"org",
"/",
"w",
"##iki",
"/",
"Block",
"_",
"c",
"##ip",
"##her",
"_",
"mode",
"_",
"of",
"_",
"operation",
"#",
"CBC",
"where",
"H",
"##Μ",
"is",
"the",
"256",
"-",
"bit",
"SH",
"##A",
"##3",
"has",
"##h",
"function",
".",
"Another",
"16",
"random",
"by",
"##tes",
"are",
"used",
"as",
"IV",
"data",
".",
"Thus",
",",
"the",
"en",
"##c",
"##ry",
"##pted",
"message",
"payload",
"consists",
"of",
"1",
".",
"the",
"salt",
"2",
".",
"the",
"IV",
"data",
"3",
".",
"the",
"en",
"##c",
"##ry",
"##pted",
"message",
"block",
"Dec",
"##ry",
"##ption",
"works",
"in",
"a",
"similar",
"manner",
".",
"Bob",
"has",
"to",
"know",
"Alice",
"'",
"s",
"public",
"key",
"AA",
"(",
"and",
"his",
"own",
"private",
"key",
"k",
"##B",
")",
"and",
"the",
"salt",
"to",
"derive",
"the",
"shared",
"secret",
":",
"a",
"##B",
"is",
"com",
"##puted",
"from",
"k",
"##B",
"according",
"to",
"(",
"2",
")",
"G",
"=",
"a",
"##BA",
"##A",
"shared",
"secret",
"=",
"H",
"##Μ",
"(",
"G",
"Y",
"salt",
")",
"Supply",
"##ing",
"the",
"shared",
"secret",
"and",
"the",
"IV",
"data",
"to",
"the",
"c",
"##ip",
"##her",
"engine",
"de",
"##c",
"##ry",
"##pts",
"the",
"encoded",
"message",
".",
"Page",
"9",
"of",
"54",
"4",
"Trans",
"##actions",
"\"",
"To",
"trans",
"##act",
"business",
"with",
"the",
"girl",
"who",
"ran",
"the",
"gas",
"-",
"pump",
"Dean",
"merely",
"threw",
"##on",
"his",
"T",
"-",
"shirt",
"like",
"a",
"scarf",
"and",
"was",
"cu",
"##rt",
"and",
"abrupt",
"as",
"usual",
"and",
"got",
"back",
"in",
"the",
"car",
"and",
"off",
"we",
"roared",
"again",
".",
"\"",
"-",
"Jack",
"Ke",
"##rou",
"##ac",
"T",
"ran",
"##sa",
"##ctions",
"introduce",
"d",
"##yna",
"##mism",
"into",
"a",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cy",
"system",
".",
"They",
"are",
"the",
"only",
"way",
"of",
"altering",
"the",
"state",
"of",
"an",
"account",
".",
"A",
"newly",
"created",
"transaction",
"that",
"has",
"not",
"yet",
"been",
"included",
"in",
"a",
"block",
"is",
"called",
"an",
"un",
"##con",
"##firmed",
"transaction",
".",
"Un",
"##con",
"##firmed",
"transactions",
"are",
"not",
"guaranteed",
"to",
"be",
"included",
"in",
"any",
"block",
".",
"As",
"a",
"result",
",",
"un",
"##con",
"##firmed",
"transactions",
"have",
"no",
"effect",
"on",
"the",
"account",
"state",
".",
"The",
"account",
"state",
"is",
"only",
"updated",
"when",
"a",
"transaction",
"is",
"included",
"in",
"a",
"harvested",
"block",
"and",
"thereby",
"confirmed",
".",
"Different",
"types",
"of",
"transactions",
"exist",
".",
"Each",
"type",
"has",
"a",
"specific",
"purpose",
",",
"e",
".",
"g",
".",
"transfer",
"X",
"##EM",
"from",
"one",
"account",
"to",
"another",
"or",
"convert",
"an",
"account",
"to",
"a",
"multi",
"##si",
"##g",
"account",
".",
"Since",
"transactions",
"consume",
"resources",
"of",
"the",
"p",
"##2",
"##p",
"network",
"there",
"is",
"a",
"fee",
"for",
"each",
"transaction",
".",
"The",
"fee",
"depends",
"on",
"the",
"transaction",
"type",
"and",
"other",
"parameters",
"of",
"the",
"transaction",
".",
"Trans",
"##actions",
"have",
"a",
"deadline",
".",
"If",
"a",
"transaction",
"is",
"not",
"included",
"in",
"a",
"block",
"before",
"its",
"deadline",
",",
"the"
] | NEM White paper | 645 |
e'd say hello and introduce himself, but most of the cats turned a deaf ear,pretending they couldn't hear him, or stare right through him. "- Haruki Murakami
N
EM, in its most basic form, is a crypto currency that is built on block chain
technology. The NEM block chain is an improvement on existing block
chain technologies. It integrates concepts from other cryptocurrencies (e.g.
Bitcoin) and academic research in network theory.
NEM's primary contribution to the crypto currency landscape is a new consen | [
1372,
5290,
16151,
114,
1173,
1103,
3416,
3318,
1215,
1165,
3545,
1146,
1103,
172,
9717,
4679,
1110,
10056,
1112,
3226,
131,
170,
1592,
1110,
3254,
18505,
1121,
180,
1592,
2452,
1106,
113,
123,
114,
6870,
134,
2724,
7091,
1118,
3052,
144,
134,
170,
11189,
2064,
3416,
3318,
134,
145,
28311,
113,
144,
162,
6870,
114,
125,
17439,
1204,
1643,
131,
120,
120,
4035,
119,
192,
12635,
3537,
1465,
119,
8916,
120,
192,
12635,
120,
8093,
168,
172,
9717,
4679,
168,
5418,
168,
1104,
168,
2805,
108,
13979,
8500,
129,
1104,
4335,
8413,
131,
120,
120,
4035,
119,
192,
12635,
3537,
1465,
119,
8916,
120,
192,
12635,
120,
8093,
168,
172,
9717,
4679,
168,
5418,
168,
1104,
168,
2805,
108,
13979,
1187,
145,
28311,
1110,
1103,
18440,
118,
2113,
17730,
1592,
1495,
1144,
1324,
3053,
119,
2543,
1479,
7091,
1118,
3052,
1132,
1215,
1112,
4191,
2233,
119,
4516,
117,
1103,
4035,
1665,
1616,
15514,
3802,
21586,
2923,
1104,
122,
119,
1103,
6870,
123,
119,
1103,
4191,
2233,
124,
119,
1103,
4035,
1665,
1616,
15514,
3802,
3510,
13063,
1616,
18225,
1759,
1107,
170,
1861,
4758,
119,
3162,
1144,
1106,
1221,
4953,
112,
188,
1470,
2501,
10419,
113,
1105,
1117,
1319,
2029,
2501,
180,
2064,
114,
1105,
1103,
6870,
1106,
20292,
1103,
3416,
3318,
131,
170,
2064,
1110,
3254,
18505,
1121,
180,
2064,
2452,
1106,
113,
123,
114,
144,
134,
170,
8215,
1592,
3416,
3318,
134,
145,
28311,
113,
144,
162,
6870,
114,
17153,
1158,
1103,
3416,
3318,
1105,
1103,
4191,
2233,
1106,
1103,
172,
9717,
4679,
2395,
1260,
1665,
1616,
12024,
1103,
12544,
3802,
119,
8500,
130,
1104,
4335,
125,
13809,
22946,
107,
1706,
14715,
11179,
1671,
1114,
1103,
1873,
1150,
1868,
1103,
3245,
118,
11188,
4285,
5804,
3885,
1320,
1117,
157,
118,
2969,
1176,
170,
21413,
1105,
1108,
16408,
3740,
1105,
20494,
1112,
4400,
1105,
1400,
1171,
1107,
1103,
1610,
1105,
1228,
1195,
14877,
1254,
119,
107,
118,
2132,
26835,
20645,
7409,
157,
1868,
3202,
13945,
8698,
173,
21880,
20279,
1154,
170,
5354,
6451,
13335,
2149,
5123,
3457,
1449,
119,
1220,
1132,
1103,
1178,
1236,
1104,
25595,
1103,
1352,
1104,
1126,
3300,
119,
138,
3599,
1687,
13618,
1115,
1144,
1136,
1870,
1151,
1529,
1107,
170,
3510,
1110,
1270,
1126,
8362,
7235,
22750,
13618,
119,
12118,
7235,
22750,
14409,
1132,
1136,
13008,
1106,
1129,
1529,
1107,
1251,
3510,
119,
1249,
170,
1871,
117,
8362,
7235,
22750,
14409,
1138,
1185,
2629,
1113,
1103,
3300,
1352,
119,
1109,
3300,
1352,
1110,
1178,
8054,
1165,
170,
13618,
1110,
1529,
1107,
170,
25309,
3510,
1105,
8267,
3659,
119,
14380,
3322,
1104,
14409,
4056,
119,
2994,
2076,
1144,
170,
2747,
3007,
117,
174,
119,
176,
119,
4036,
161,
15577,
1121,
1141,
3300,
1106,
1330,
1137,
10454,
1126,
3300,
1106,
170,
4321,
5053,
1403,
3300,
119,
1967,
14409,
17914,
3979,
1104,
1103,
185,
1477,
1643,
2443,
1175,
1110,
170,
7216,
1111,
1296,
13618,
119,
1109,
7216,
9113,
1113,
1103,
13618,
2076,
1105,
1168,
11934,
1104,
1103,
13618,
119,
13809,
22946,
1138,
170,
17638,
119,
1409,
170,
13618,
1110,
1136,
1529,
1107,
170,
3510,
1196,
1157,
17638,
117,
1103
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"group",
"element",
"AB",
")",
"then",
"the",
"shared",
"secret",
"used",
"when",
"setting",
"up",
"the",
"c",
"##ip",
"##her",
"is",
"calculated",
"as",
"follows",
":",
"a",
"##A",
"is",
"com",
"##puted",
"from",
"k",
"##A",
"according",
"to",
"(",
"2",
")",
"salt",
"=",
"32",
"random",
"by",
"##tes",
"G",
"=",
"a",
"##AA",
"##B",
"shared",
"secret",
"=",
"H",
"##Μ",
"(",
"G",
"Y",
"salt",
")",
"4",
"##ht",
"##t",
"##p",
":",
"/",
"/",
"en",
".",
"w",
"##iki",
"##ped",
"##ia",
".",
"org",
"/",
"w",
"##iki",
"/",
"Block",
"_",
"c",
"##ip",
"##her",
"_",
"mode",
"_",
"of",
"_",
"operation",
"#",
"CBC",
"Page",
"8",
"of",
"54",
"http",
":",
"/",
"/",
"en",
".",
"w",
"##iki",
"##ped",
"##ia",
".",
"org",
"/",
"w",
"##iki",
"/",
"Block",
"_",
"c",
"##ip",
"##her",
"_",
"mode",
"_",
"of",
"_",
"operation",
"#",
"CBC",
"where",
"H",
"##Μ",
"is",
"the",
"256",
"-",
"bit",
"SH",
"##A",
"##3",
"has",
"##h",
"function",
".",
"Another",
"16",
"random",
"by",
"##tes",
"are",
"used",
"as",
"IV",
"data",
".",
"Thus",
",",
"the",
"en",
"##c",
"##ry",
"##pted",
"message",
"payload",
"consists",
"of",
"1",
".",
"the",
"salt",
"2",
".",
"the",
"IV",
"data",
"3",
".",
"the",
"en",
"##c",
"##ry",
"##pted",
"message",
"block",
"Dec",
"##ry",
"##ption",
"works",
"in",
"a",
"similar",
"manner",
".",
"Bob",
"has",
"to",
"know",
"Alice",
"'",
"s",
"public",
"key",
"AA",
"(",
"and",
"his",
"own",
"private",
"key",
"k",
"##B",
")",
"and",
"the",
"salt",
"to",
"derive",
"the",
"shared",
"secret",
":",
"a",
"##B",
"is",
"com",
"##puted",
"from",
"k",
"##B",
"according",
"to",
"(",
"2",
")",
"G",
"=",
"a",
"##BA",
"##A",
"shared",
"secret",
"=",
"H",
"##Μ",
"(",
"G",
"Y",
"salt",
")",
"Supply",
"##ing",
"the",
"shared",
"secret",
"and",
"the",
"IV",
"data",
"to",
"the",
"c",
"##ip",
"##her",
"engine",
"de",
"##c",
"##ry",
"##pts",
"the",
"encoded",
"message",
".",
"Page",
"9",
"of",
"54",
"4",
"Trans",
"##actions",
"\"",
"To",
"trans",
"##act",
"business",
"with",
"the",
"girl",
"who",
"ran",
"the",
"gas",
"-",
"pump",
"Dean",
"merely",
"threw",
"##on",
"his",
"T",
"-",
"shirt",
"like",
"a",
"scarf",
"and",
"was",
"cu",
"##rt",
"and",
"abrupt",
"as",
"usual",
"and",
"got",
"back",
"in",
"the",
"car",
"and",
"off",
"we",
"roared",
"again",
".",
"\"",
"-",
"Jack",
"Ke",
"##rou",
"##ac",
"T",
"ran",
"##sa",
"##ctions",
"introduce",
"d",
"##yna",
"##mism",
"into",
"a",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cy",
"system",
".",
"They",
"are",
"the",
"only",
"way",
"of",
"altering",
"the",
"state",
"of",
"an",
"account",
".",
"A",
"newly",
"created",
"transaction",
"that",
"has",
"not",
"yet",
"been",
"included",
"in",
"a",
"block",
"is",
"called",
"an",
"un",
"##con",
"##firmed",
"transaction",
".",
"Un",
"##con",
"##firmed",
"transactions",
"are",
"not",
"guaranteed",
"to",
"be",
"included",
"in",
"any",
"block",
".",
"As",
"a",
"result",
",",
"un",
"##con",
"##firmed",
"transactions",
"have",
"no",
"effect",
"on",
"the",
"account",
"state",
".",
"The",
"account",
"state",
"is",
"only",
"updated",
"when",
"a",
"transaction",
"is",
"included",
"in",
"a",
"harvested",
"block",
"and",
"thereby",
"confirmed",
".",
"Different",
"types",
"of",
"transactions",
"exist",
".",
"Each",
"type",
"has",
"a",
"specific",
"purpose",
",",
"e",
".",
"g",
".",
"transfer",
"X",
"##EM",
"from",
"one",
"account",
"to",
"another",
"or",
"convert",
"an",
"account",
"to",
"a",
"multi",
"##si",
"##g",
"account",
".",
"Since",
"transactions",
"consume",
"resources",
"of",
"the",
"p",
"##2",
"##p",
"network",
"there",
"is",
"a",
"fee",
"for",
"each",
"transaction",
".",
"The",
"fee",
"depends",
"on",
"the",
"transaction",
"type",
"and",
"other",
"parameters",
"of",
"the",
"transaction",
".",
"Trans",
"##actions",
"have",
"a",
"deadline",
".",
"If",
"a",
"transaction",
"is",
"not",
"included",
"in",
"a",
"block",
"before",
"its",
"deadline",
",",
"the"
] | NEM White paper | 646 |
sus mech-
anism called Proof of Importance (PoI). Unlike Proof of Work (PoW), it is environmen-
tally sustainable and does not require large scale computing resources in perpetuity. PoI
is similar to Proof of Stake (PoS) except that it is not solely derived from the size of an
account's balance. It incorporates other behaviors that are believed to be positive for the
holistic economy. In this way, it attempts to reward active economy participants at the
expense of inactive ones and dampens the rich gettin | [
13618,
1110,
1737,
14224,
1105,
3370,
2434,
1118,
1103,
2443,
15029,
119,
1109,
1378,
4886,
5594,
1103,
1472,
13618,
3322,
119,
125,
119,
122,
23489,
14409,
138,
4036,
13618,
1110,
1215,
1106,
4036,
161,
15577,
1121,
1141,
3300,
1106,
1330,
119,
138,
3802,
1104,
1120,
1211,
9081,
1527,
1118,
3052,
1169,
1129,
4309,
1106,
1296,
4036,
13618,
119,
1130,
1103,
1692,
1104,
1126,
4035,
1665,
1616,
15514,
3802,
117,
1178,
5306,
1568,
1118,
3052,
1169,
4651,
8156,
2233,
1272,
1103,
6870,
1105,
1103,
4191,
2233,
1132,
1226,
1104,
1103,
4035,
1665,
1616,
15514,
3802,
119,
11907,
1279,
1111,
4036,
14409,
1132,
3233,
1154,
1160,
2192,
131,
794,
119,
4991,
161,
15577,
1679,
1275,
117,
1288,
161,
15577,
3175,
117,
14510,
1120,
122,
119,
1512,
161,
15577,
794,
119,
4991,
161,
15577,
1679,
8042,
2724,
3802,
1118,
3052,
113,
3802,
2162,
14429,
1582,
120,
2724,
116,
122,
114,
119,
2695,
7216,
2192,
1132,
1896,
1106,
1660,
1103,
1509,
7216,
119,
8500,
1275,
1104,
4335,
125,
119,
123,
146,
24729,
16242,
3633,
4036,
14409,
26546,
2107,
3643,
1126,
3300,
1106,
10549,
1157,
25039,
1540,
1106,
1330,
3300,
1194,
1126,
4495,
4036,
13618,
119,
1188,
1110,
1227,
1112,
13715,
1181,
25039,
119,
1188,
3643,
1103,
1560,
3300,
1106,
1329,
1157,
4495,
1106,
15390,
1113,
170,
6456,
9770,
113,
1216,
1112,
170,
8496,
2029,
9770,
113,
23659,
1708,
114,
114,
1443,
12038,
1106,
1138,
1157,
2029,
2501,
9990,
5490,
1113,
1103,
9770,
119,
1130,
1864,
117,
1142,
2672,
3643,
5756,
1107,
2504,
5092,
1106,
15390,
1443,
4518,
1251,
4381,
1120,
3187,
119,
1109,
7216,
1111,
1126,
4495,
4036,
13618,
1110,
119,
1405,
161,
15577,
119,
125,
119,
123,
119,
122,
2173,
19012,
1760,
3300,
1169,
9396,
13715,
1181,
25039,
1118,
5416,
170,
1957,
4495,
4036,
13618,
1115,
188,
25392,
9387,
1103,
13715,
1181,
3300,
119,
1258,
1103,
4495,
4036,
13618,
1110,
3134,
1118,
1103,
2443,
117,
9174,
12434,
1161,
118,
189,
5266,
1132,
1834,
1196,
13715,
1181,
25039,
14915,
1110,
2335,
119,
1507,
1103,
14915,
1669,
117,
1178,
1103,
1560,
3300,
1169,
15390,
1133,
1103,
13715,
1181,
3300,
2834,
119,
1258,
1103,
14915,
1669,
117,
1178,
1103,
13715,
1181,
3300,
1169,
15390,
1133,
1103,
1560,
3300,
2834,
119,
125,
119,
123,
119,
123,
3177,
11179,
19012,
1760,
3300,
1114,
13715,
1181,
25039,
9618,
1169,
4267,
17272,
13715,
1181,
25039,
1120,
1251,
1159,
1118,
5416,
170,
1957,
4495,
4036,
13618,
1115,
188,
25392,
9387,
1103,
13715,
1181,
3300,
119,
1258,
1103,
4495,
4036,
13618,
1110,
3134,
1118,
1103,
2443,
117,
9174,
12434,
1161,
118,
189,
5266,
1132,
1834,
1196,
13715,
1181,
25039,
1260,
11179,
16617,
1110,
2335,
119,
1507,
1103,
1260,
11179,
16617,
1669,
117,
1178,
1103,
13715,
1181,
3300,
1169,
15390,
1133,
1103,
1560,
3300,
2834,
119,
1258,
1103,
1260,
11179,
16617,
1669,
117,
1178,
1103,
1560,
3300,
1169,
15390,
1133,
1103,
13715,
1181,
3300,
2834,
119,
125,
119,
124,
18447,
5053,
1403,
2272,
13618,
3322,
26546,
2107,
2900,
1193,
6253,
182,
118,
1104,
118,
183,
4321,
19638,
17337,
5756,
119,
26546,
2107,
4321,
5053,
1403,
14409,
1138,
1151,
2011,
1114,
18605,
1107,
1713
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"transaction",
"is",
"considered",
"expired",
"and",
"gets",
"dropped",
"by",
"the",
"network",
"nodes",
".",
"The",
"following",
"sections",
"describe",
"the",
"different",
"transaction",
"types",
".",
"4",
".",
"1",
"Transfer",
"transactions",
"A",
"transfer",
"transaction",
"is",
"used",
"to",
"transfer",
"X",
"##EM",
"from",
"one",
"account",
"to",
"another",
".",
"A",
"message",
"of",
"at",
"most",
"102",
"##4",
"by",
"##tes",
"can",
"be",
"attached",
"to",
"each",
"transfer",
"transaction",
".",
"In",
"the",
"case",
"of",
"an",
"en",
"##c",
"##ry",
"##pted",
"message",
",",
"only",
"96",
"##0",
"by",
"##tes",
"can",
"contain",
"custom",
"data",
"because",
"the",
"salt",
"and",
"the",
"IV",
"data",
"are",
"part",
"of",
"the",
"en",
"##c",
"##ry",
"##pted",
"message",
".",
"Fe",
"##es",
"for",
"transfer",
"transactions",
"are",
"divided",
"into",
"two",
"parts",
":",
"β’",
".",
"05",
"X",
"##EM",
"per",
"10",
",",
"000",
"X",
"##EM",
"transferred",
",",
"capped",
"at",
"1",
".",
"25",
"X",
"##EM",
"β’",
".",
"05",
"X",
"##EM",
"per",
"commenced",
"32",
"message",
"by",
"##tes",
"(",
"message",
"##L",
"##eng",
"##th",
"/",
"32",
"+",
"1",
")",
".",
"Both",
"fee",
"parts",
"are",
"added",
"to",
"give",
"the",
"final",
"fee",
".",
"Page",
"10",
"of",
"54",
"4",
".",
"2",
"I",
"##mpo",
"##rta",
"##nce",
"transfer",
"transactions",
"NE",
"##M",
"allows",
"an",
"account",
"to",
"lease",
"its",
"harvesting",
"power",
"to",
"another",
"account",
"through",
"an",
"importance",
"transfer",
"transaction",
".",
"This",
"is",
"known",
"as",
"delegate",
"##d",
"harvesting",
".",
"This",
"allows",
"the",
"original",
"account",
"to",
"use",
"its",
"importance",
"to",
"harvest",
"on",
"a",
"remote",
"server",
"(",
"such",
"as",
"a",
"virtual",
"private",
"server",
"(",
"VP",
"##S",
")",
")",
"without",
"needing",
"to",
"have",
"its",
"private",
"key",
"openly",
"exposed",
"on",
"the",
"server",
".",
"In",
"fact",
",",
"this",
"feature",
"allows",
"accounts",
"in",
"cold",
"storage",
"to",
"harvest",
"without",
"putting",
"any",
"funds",
"at",
"risk",
".",
"The",
"fee",
"for",
"an",
"importance",
"transfer",
"transaction",
"is",
".",
"15",
"X",
"##EM",
".",
"4",
".",
"2",
".",
"1",
"Act",
"##ivating",
"An",
"account",
"can",
"enable",
"delegate",
"##d",
"harvesting",
"by",
"sending",
"a",
"special",
"importance",
"transfer",
"transaction",
"that",
"s",
"##pec",
"##ifies",
"the",
"delegate",
"##d",
"account",
".",
"After",
"the",
"importance",
"transfer",
"transaction",
"is",
"accepted",
"by",
"the",
"network",
",",
"360",
"confirm",
"##a",
"-",
"t",
"##ions",
"are",
"needed",
"before",
"delegate",
"##d",
"harvesting",
"activation",
"is",
"complete",
".",
"During",
"the",
"activation",
"period",
",",
"only",
"the",
"original",
"account",
"can",
"harvest",
"but",
"the",
"delegate",
"##d",
"account",
"cannot",
".",
"After",
"the",
"activation",
"period",
",",
"only",
"the",
"delegate",
"##d",
"account",
"can",
"harvest",
"but",
"the",
"original",
"account",
"cannot",
".",
"4",
".",
"2",
".",
"2",
"De",
"##act",
"##ivating",
"An",
"account",
"with",
"delegate",
"##d",
"harvesting",
"activated",
"can",
"di",
"##sable",
"delegate",
"##d",
"harvesting",
"at",
"any",
"time",
"by",
"sending",
"a",
"special",
"importance",
"transfer",
"transaction",
"that",
"s",
"##pec",
"##ifies",
"the",
"delegate",
"##d",
"account",
".",
"After",
"the",
"importance",
"transfer",
"transaction",
"is",
"accepted",
"by",
"the",
"network",
",",
"360",
"confirm",
"##a",
"-",
"t",
"##ions",
"are",
"needed",
"before",
"delegate",
"##d",
"harvesting",
"de",
"##act",
"##ivation",
"is",
"complete",
".",
"During",
"the",
"de",
"##act",
"##ivation",
"period",
",",
"only",
"the",
"delegate",
"##d",
"account",
"can",
"harvest",
"but",
"the",
"original",
"account",
"cannot",
".",
"After",
"the",
"de",
"##act",
"##ivation",
"period",
",",
"only",
"the",
"original",
"account",
"can",
"harvest",
"but",
"the",
"delegate",
"##d",
"account",
"cannot",
".",
"4",
".",
"3",
"Multi",
"##si",
"##g",
"related",
"transaction",
"types",
"NE",
"##M",
"native",
"##ly",
"supports",
"m",
"-",
"of",
"-",
"n",
"multi",
"##sign",
"##ature",
"accounts",
".",
"NE",
"##M",
"multi",
"##si",
"##g",
"transactions",
"have",
"been",
"designed",
"with",
"flexibility",
"in",
"mind"
] | NEM White paper | 647 |
g richer effect that is inherent to
PoS.
NEM's vision is to be the foundation of a vibrant crypto currency ecosystem that
emphasizes security and trustless computing. NEM was launched with built-in support
for multisig transactions and encrypted messages. Additionally, the peer-to-peer (P2P)
NEM network implements a modified version of Eigentrust++ to identify and minimize
the impact of malicious nodes.
NEM is evolving and this is just the beginning. Stay tuned for more things to come.
Page 1 of 54
| [
119,
6291,
1168,
8500,
1429,
1104,
4335,
13618,
113,
1112,
1104,
1208,
131,
4495,
4036,
117,
4036,
117,
9453,
15156,
114,
117,
1169,
1129,
4293,
1107,
170,
4321,
5053,
1403,
13618,
119,
138,
18447,
5053,
1403,
13618,
2111,
2834,
1129,
4293,
1656,
1330,
4321,
5053,
1403,
13618,
119,
125,
119,
124,
119,
122,
138,
9705,
1874,
4948,
15156,
14409,
113,
4321,
5053,
1403,
15156,
114,
140,
11811,
1916,
170,
4321,
5053,
1403,
3300,
1760,
3300,
1169,
1129,
4213,
1154,
170,
4321,
5053,
1403,
3300,
1118,
5416,
170,
1957,
9453,
15156,
13618,
1115,
1110,
1878,
1118,
1103,
4321,
5053,
1403,
3300,
119,
1109,
13618,
188,
25392,
9387,
1869,
1164,
1103,
1884,
19638,
6579,
1905,
119,
1109,
1295,
1104,
1884,
19638,
6579,
1905,
1110,
2609,
1106,
2724,
119,
10608,
117,
1185,
14409,
1169,
1129,
7087,
1121,
1103,
4321,
5053,
1403,
3300,
119,
12556,
3309,
16877,
170,
4321,
5053,
1403,
3300,
1258,
170,
4321,
5053,
1403,
3300,
1144,
1151,
1687,
117,
170,
1884,
19638,
1161,
118,
1106,
1616,
1169,
1129,
1896,
1137,
2856,
1118,
13261,
1126,
9453,
15156,
13618,
1107,
170,
4321,
5053,
1403,
13618,
119,
138,
1423,
15156,
13618,
1169,
5194,
1141,
1137,
1167,
1884,
19638,
6579,
1905,
1133,
1169,
5782,
1120,
1211,
1141,
119,
794,
1332,
5321,
1884,
19638,
6579,
1905,
117,
1155,
3685,
1884,
19638,
6579,
1905,
1538,
1884,
118,
2951,
1103,
13618,
119,
794,
1332,
9305,
170,
1884,
19638,
13424,
117,
1155,
3685,
1884,
19638,
6579,
1905,
2589,
1111,
1103,
1141,
1217,
2856,
1538,
1884,
118,
2951,
1103,
13618,
119,
1109,
7216,
1111,
1126,
9453,
15156,
13618,
1110,
170,
3596,
7216,
1104,
121,
119,
126,
193,
5521,
117,
1185,
2187,
1184,
13334,
1128,
1294,
119,
1187,
1103,
1858,
112,
15156,
112,
4431,
1106,
1103,
1901,
1137,
3687,
26883,
1320,
1104,
170,
1884,
19638,
13424,
119,
125,
119,
124,
119,
123,
18447,
5053,
1403,
8250,
14409,
26546,
2107,
2745,
4321,
5053,
1403,
8250,
14409,
1111,
5074,
1884,
19638,
6579,
1905,
2951,
170,
4321,
5053,
1403,
14715,
118,
2168,
119,
1109,
7216,
1111,
1216,
170,
8250,
13618,
1110,
1579,
119,
1405,
161,
15577,
119,
1109,
7216,
1110,
1260,
20196,
1121,
1103,
4321,
5053,
1403,
3300,
117,
1136,
1121,
1103,
1884,
19638,
13424,
112,
188,
3300,
119,
138,
4321,
5053,
1403,
8250,
13618,
1169,
1178,
1129,
1529,
1107,
1103,
3510,
4129,
1191,
1103,
1884,
11604,
118,
188,
5674,
17038,
4321,
5053,
1403,
13618,
1144,
1151,
1529,
1107,
1103,
3510,
4129,
119,
1760,
25298,
1174,
4321,
5053,
1403,
8250,
13618,
1209,
1309,
1129,
1529,
1107,
1103,
3510,
4129,
119,
8500,
1367,
1104,
4335,
125,
119,
124,
119,
124,
18447,
5053,
1403,
14409,
1249,
3025,
2206,
117,
1251,
13618,
1169,
1129,
4293,
1107,
170,
4321,
5053,
1403,
13618,
119,
1706,
3952,
161,
15577,
1121,
170,
4321,
5053,
1403,
3300,
1106,
1330,
3300,
117,
170,
4036,
13618,
1538,
1129,
4293,
119,
1109,
4321,
5053,
1403,
10561,
3365,
13618,
1144,
170,
7216,
1104,
119,
1405,
161,
15577,
119,
1188,
7216,
1110,
1896,
1106,
1103,
4400,
4036,
13618,
7216,
119,
1109,
1378,
1859,
2196,
1103,
3343,
1115,
1538,
1129,
1678,
1107,
1167,
6505,
131,
1249,
22369,
1115
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
23,
24,
24,
24,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
1,
2,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
23,
24,
24,
24,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
1,
2,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
"Any",
"other",
"Page",
"11",
"of",
"54",
"transaction",
"(",
"as",
"of",
"now",
":",
"importance",
"transfer",
",",
"transfer",
",",
"aggregate",
"modification",
")",
",",
"can",
"be",
"wrapped",
"in",
"a",
"multi",
"##si",
"##g",
"transaction",
".",
"A",
"Multi",
"##si",
"##g",
"transaction",
"itself",
"cannot",
"be",
"wrapped",
"inside",
"another",
"multi",
"##si",
"##g",
"transaction",
".",
"4",
".",
"3",
".",
"1",
"A",
"##gg",
"##re",
"##gate",
"modification",
"transactions",
"(",
"multi",
"##si",
"##g",
"modification",
")",
"C",
"##rea",
"##ting",
"a",
"multi",
"##si",
"##g",
"account",
"An",
"account",
"can",
"be",
"converted",
"into",
"a",
"multi",
"##si",
"##g",
"account",
"by",
"sending",
"a",
"special",
"aggregate",
"modification",
"transaction",
"that",
"is",
"signed",
"by",
"the",
"multi",
"##si",
"##g",
"account",
".",
"The",
"transaction",
"s",
"##pec",
"##ifies",
"information",
"about",
"the",
"co",
"##sign",
"##ator",
"##ies",
".",
"The",
"number",
"of",
"co",
"##sign",
"##ator",
"##ies",
"is",
"limited",
"to",
"32",
".",
"Subsequently",
",",
"no",
"transactions",
"can",
"be",
"initiated",
"from",
"the",
"multi",
"##si",
"##g",
"account",
".",
"Mo",
"##di",
"##fying",
"a",
"multi",
"##si",
"##g",
"account",
"After",
"a",
"multi",
"##si",
"##g",
"account",
"has",
"been",
"created",
",",
"a",
"co",
"##sign",
"##a",
"-",
"to",
"##ry",
"can",
"be",
"added",
"or",
"removed",
"by",
"wrapping",
"an",
"aggregate",
"modification",
"transaction",
"in",
"a",
"multi",
"##si",
"##g",
"transaction",
".",
"A",
"single",
"modification",
"transaction",
"can",
"add",
"one",
"or",
"more",
"co",
"##sign",
"##ator",
"##ies",
"but",
"can",
"remove",
"at",
"most",
"one",
".",
"β’",
"When",
"adding",
"co",
"##sign",
"##ator",
"##ies",
",",
"all",
"existing",
"co",
"##sign",
"##ator",
"##ies",
"must",
"co",
"-",
"sign",
"the",
"transaction",
".",
"β’",
"When",
"removing",
"a",
"co",
"##sign",
"##atory",
",",
"all",
"existing",
"co",
"##sign",
"##ator",
"##ies",
"except",
"for",
"the",
"one",
"being",
"removed",
"must",
"co",
"-",
"sign",
"the",
"transaction",
".",
"The",
"fee",
"for",
"an",
"aggregate",
"modification",
"transaction",
"is",
"a",
"flat",
"fee",
"of",
"0",
".",
"5",
"x",
"##em",
",",
"no",
"matter",
"what",
"modifications",
"you",
"make",
".",
"where",
"the",
"term",
"'",
"modification",
"'",
"refers",
"to",
"the",
"addition",
"or",
"del",
"##eti",
"##on",
"of",
"a",
"co",
"##sign",
"##atory",
".",
"4",
".",
"3",
".",
"2",
"Multi",
"##si",
"##g",
"signature",
"transactions",
"NE",
"##M",
"uses",
"multi",
"##si",
"##g",
"signature",
"transactions",
"for",
"letting",
"co",
"##sign",
"##ator",
"##ies",
"sign",
"a",
"multi",
"##si",
"##g",
"trans",
"-",
"action",
".",
"The",
"fee",
"for",
"such",
"a",
"signature",
"transaction",
"is",
"always",
".",
"15",
"X",
"##EM",
".",
"The",
"fee",
"is",
"de",
"##duced",
"from",
"the",
"multi",
"##si",
"##g",
"account",
",",
"not",
"from",
"the",
"co",
"##sign",
"##atory",
"'",
"s",
"account",
".",
"A",
"multi",
"##si",
"##g",
"signature",
"transaction",
"can",
"only",
"be",
"included",
"in",
"the",
"block",
"chain",
"if",
"the",
"co",
"##rre",
"-",
"s",
"##po",
"##nding",
"multi",
"##si",
"##g",
"transaction",
"has",
"been",
"included",
"in",
"the",
"block",
"chain",
".",
"An",
"orphan",
"##ed",
"multi",
"##si",
"##g",
"signature",
"transaction",
"will",
"never",
"be",
"included",
"in",
"the",
"block",
"chain",
".",
"Page",
"12",
"of",
"54",
"4",
".",
"3",
".",
"3",
"Multi",
"##si",
"##g",
"transactions",
"As",
"mentioned",
"earlier",
",",
"any",
"transaction",
"can",
"be",
"wrapped",
"in",
"a",
"multi",
"##si",
"##g",
"transaction",
".",
"To",
"send",
"X",
"##EM",
"from",
"a",
"multi",
"##si",
"##g",
"account",
"to",
"another",
"account",
",",
"a",
"transfer",
"transaction",
"must",
"be",
"wrapped",
".",
"The",
"multi",
"##si",
"##g",
"wrap",
"##per",
"transaction",
"has",
"a",
"fee",
"of",
".",
"15",
"X",
"##EM",
".",
"This",
"fee",
"is",
"added",
"to",
"the",
"usual",
"transfer",
"transaction",
"fee",
".",
"The",
"following",
"example",
"shows",
"the",
"steps",
"that",
"must",
"be",
"taken",
"in",
"more",
"detail",
":",
"As",
"##sume",
"that"
] | NEM White paper | 648 |
g richer effect that is inherent to
PoS.
NEM's vision is to be the foundation of a vibrant crypto currency ecosystem that
emphasizes security and trustless computing. NEM was launched with built-in support
for multisig transactions and encrypted messages. Additionally, the peer-to-peer (P2P)
NEM network implements a modified version of Eigentrust++ to identify and minimize
the impact of malicious nodes.
NEM is evolving and this is just the beginning. Stay tuned for more things to come.
Page 1 of 54
| [
119,
6291,
1168,
8500,
1429,
1104,
4335,
13618,
113,
1112,
1104,
1208,
131,
4495,
4036,
117,
4036,
117,
9453,
15156,
114,
117,
1169,
1129,
4293,
1107,
170,
4321,
5053,
1403,
13618,
119,
138,
18447,
5053,
1403,
13618,
2111,
2834,
1129,
4293,
1656,
1330,
4321,
5053,
1403,
13618,
119,
125,
119,
124,
119,
122,
138,
9705,
1874,
4948,
15156,
14409,
113,
4321,
5053,
1403,
15156,
114,
140,
11811,
1916,
170,
4321,
5053,
1403,
3300,
1760,
3300,
1169,
1129,
4213,
1154,
170,
4321,
5053,
1403,
3300,
1118,
5416,
170,
1957,
9453,
15156,
13618,
1115,
1110,
1878,
1118,
1103,
4321,
5053,
1403,
3300,
119,
1109,
13618,
188,
25392,
9387,
1869,
1164,
1103,
1884,
19638,
6579,
1905,
119,
1109,
1295,
1104,
1884,
19638,
6579,
1905,
1110,
2609,
1106,
2724,
119,
10608,
117,
1185,
14409,
1169,
1129,
7087,
1121,
1103,
4321,
5053,
1403,
3300,
119,
12556,
3309,
16877,
170,
4321,
5053,
1403,
3300,
1258,
170,
4321,
5053,
1403,
3300,
1144,
1151,
1687,
117,
170,
1884,
19638,
1161,
118,
1106,
1616,
1169,
1129,
1896,
1137,
2856,
1118,
13261,
1126,
9453,
15156,
13618,
1107,
170,
4321,
5053,
1403,
13618,
119,
138,
1423,
15156,
13618,
1169,
5194,
1141,
1137,
1167,
1884,
19638,
6579,
1905,
1133,
1169,
5782,
1120,
1211,
1141,
119,
794,
1332,
5321,
1884,
19638,
6579,
1905,
117,
1155,
3685,
1884,
19638,
6579,
1905,
1538,
1884,
118,
2951,
1103,
13618,
119,
794,
1332,
9305,
170,
1884,
19638,
13424,
117,
1155,
3685,
1884,
19638,
6579,
1905,
2589,
1111,
1103,
1141,
1217,
2856,
1538,
1884,
118,
2951,
1103,
13618,
119,
1109,
7216,
1111,
1126,
9453,
15156,
13618,
1110,
170,
3596,
7216,
1104,
121,
119,
126,
193,
5521,
117,
1185,
2187,
1184,
13334,
1128,
1294,
119,
1187,
1103,
1858,
112,
15156,
112,
4431,
1106,
1103,
1901,
1137,
3687,
26883,
1320,
1104,
170,
1884,
19638,
13424,
119,
125,
119,
124,
119,
123,
18447,
5053,
1403,
8250,
14409,
26546,
2107,
2745,
4321,
5053,
1403,
8250,
14409,
1111,
5074,
1884,
19638,
6579,
1905,
2951,
170,
4321,
5053,
1403,
14715,
118,
2168,
119,
1109,
7216,
1111,
1216,
170,
8250,
13618,
1110,
1579,
119,
1405,
161,
15577,
119,
1109,
7216,
1110,
1260,
20196,
1121,
1103,
4321,
5053,
1403,
3300,
117,
1136,
1121,
1103,
1884,
19638,
13424,
112,
188,
3300,
119,
138,
4321,
5053,
1403,
8250,
13618,
1169,
1178,
1129,
1529,
1107,
1103,
3510,
4129,
1191,
1103,
1884,
11604,
118,
188,
5674,
17038,
4321,
5053,
1403,
13618,
1144,
1151,
1529,
1107,
1103,
3510,
4129,
119,
1760,
25298,
1174,
4321,
5053,
1403,
8250,
13618,
1209,
1309,
1129,
1529,
1107,
1103,
3510,
4129,
119,
8500,
1367,
1104,
4335,
125,
119,
124,
119,
124,
18447,
5053,
1403,
14409,
1249,
3025,
2206,
117,
1251,
13618,
1169,
1129,
4293,
1107,
170,
4321,
5053,
1403,
13618,
119,
1706,
3952,
161,
15577,
1121,
170,
4321,
5053,
1403,
3300,
1106,
1330,
3300,
117,
170,
4036,
13618,
1538,
1129,
4293,
119,
1109,
4321,
5053,
1403,
10561,
3365,
13618,
1144,
170,
7216,
1104,
119,
1405,
161,
15577,
119,
1188,
7216,
1110,
1896,
1106,
1103,
4400,
4036,
13618,
7216,
119,
1109,
1378,
1859,
2196,
1103,
3343,
1115,
1538,
1129,
1678,
1107,
1167,
6505,
131,
1249,
22369,
1115
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
"Any",
"other",
"Page",
"11",
"of",
"54",
"transaction",
"(",
"as",
"of",
"now",
":",
"importance",
"transfer",
",",
"transfer",
",",
"aggregate",
"modification",
")",
",",
"can",
"be",
"wrapped",
"in",
"a",
"multi",
"##si",
"##g",
"transaction",
".",
"A",
"Multi",
"##si",
"##g",
"transaction",
"itself",
"cannot",
"be",
"wrapped",
"inside",
"another",
"multi",
"##si",
"##g",
"transaction",
".",
"4",
".",
"3",
".",
"1",
"A",
"##gg",
"##re",
"##gate",
"modification",
"transactions",
"(",
"multi",
"##si",
"##g",
"modification",
")",
"C",
"##rea",
"##ting",
"a",
"multi",
"##si",
"##g",
"account",
"An",
"account",
"can",
"be",
"converted",
"into",
"a",
"multi",
"##si",
"##g",
"account",
"by",
"sending",
"a",
"special",
"aggregate",
"modification",
"transaction",
"that",
"is",
"signed",
"by",
"the",
"multi",
"##si",
"##g",
"account",
".",
"The",
"transaction",
"s",
"##pec",
"##ifies",
"information",
"about",
"the",
"co",
"##sign",
"##ator",
"##ies",
".",
"The",
"number",
"of",
"co",
"##sign",
"##ator",
"##ies",
"is",
"limited",
"to",
"32",
".",
"Subsequently",
",",
"no",
"transactions",
"can",
"be",
"initiated",
"from",
"the",
"multi",
"##si",
"##g",
"account",
".",
"Mo",
"##di",
"##fying",
"a",
"multi",
"##si",
"##g",
"account",
"After",
"a",
"multi",
"##si",
"##g",
"account",
"has",
"been",
"created",
",",
"a",
"co",
"##sign",
"##a",
"-",
"to",
"##ry",
"can",
"be",
"added",
"or",
"removed",
"by",
"wrapping",
"an",
"aggregate",
"modification",
"transaction",
"in",
"a",
"multi",
"##si",
"##g",
"transaction",
".",
"A",
"single",
"modification",
"transaction",
"can",
"add",
"one",
"or",
"more",
"co",
"##sign",
"##ator",
"##ies",
"but",
"can",
"remove",
"at",
"most",
"one",
".",
"β’",
"When",
"adding",
"co",
"##sign",
"##ator",
"##ies",
",",
"all",
"existing",
"co",
"##sign",
"##ator",
"##ies",
"must",
"co",
"-",
"sign",
"the",
"transaction",
".",
"β’",
"When",
"removing",
"a",
"co",
"##sign",
"##atory",
",",
"all",
"existing",
"co",
"##sign",
"##ator",
"##ies",
"except",
"for",
"the",
"one",
"being",
"removed",
"must",
"co",
"-",
"sign",
"the",
"transaction",
".",
"The",
"fee",
"for",
"an",
"aggregate",
"modification",
"transaction",
"is",
"a",
"flat",
"fee",
"of",
"0",
".",
"5",
"x",
"##em",
",",
"no",
"matter",
"what",
"modifications",
"you",
"make",
".",
"where",
"the",
"term",
"'",
"modification",
"'",
"refers",
"to",
"the",
"addition",
"or",
"del",
"##eti",
"##on",
"of",
"a",
"co",
"##sign",
"##atory",
".",
"4",
".",
"3",
".",
"2",
"Multi",
"##si",
"##g",
"signature",
"transactions",
"NE",
"##M",
"uses",
"multi",
"##si",
"##g",
"signature",
"transactions",
"for",
"letting",
"co",
"##sign",
"##ator",
"##ies",
"sign",
"a",
"multi",
"##si",
"##g",
"trans",
"-",
"action",
".",
"The",
"fee",
"for",
"such",
"a",
"signature",
"transaction",
"is",
"always",
".",
"15",
"X",
"##EM",
".",
"The",
"fee",
"is",
"de",
"##duced",
"from",
"the",
"multi",
"##si",
"##g",
"account",
",",
"not",
"from",
"the",
"co",
"##sign",
"##atory",
"'",
"s",
"account",
".",
"A",
"multi",
"##si",
"##g",
"signature",
"transaction",
"can",
"only",
"be",
"included",
"in",
"the",
"block",
"chain",
"if",
"the",
"co",
"##rre",
"-",
"s",
"##po",
"##nding",
"multi",
"##si",
"##g",
"transaction",
"has",
"been",
"included",
"in",
"the",
"block",
"chain",
".",
"An",
"orphan",
"##ed",
"multi",
"##si",
"##g",
"signature",
"transaction",
"will",
"never",
"be",
"included",
"in",
"the",
"block",
"chain",
".",
"Page",
"12",
"of",
"54",
"4",
".",
"3",
".",
"3",
"Multi",
"##si",
"##g",
"transactions",
"As",
"mentioned",
"earlier",
",",
"any",
"transaction",
"can",
"be",
"wrapped",
"in",
"a",
"multi",
"##si",
"##g",
"transaction",
".",
"To",
"send",
"X",
"##EM",
"from",
"a",
"multi",
"##si",
"##g",
"account",
"to",
"another",
"account",
",",
"a",
"transfer",
"transaction",
"must",
"be",
"wrapped",
".",
"The",
"multi",
"##si",
"##g",
"wrap",
"##per",
"transaction",
"has",
"a",
"fee",
"of",
".",
"15",
"X",
"##EM",
".",
"This",
"fee",
"is",
"added",
"to",
"the",
"usual",
"transfer",
"transaction",
"fee",
".",
"The",
"following",
"example",
"shows",
"the",
"steps",
"that",
"must",
"be",
"taken",
"in",
"more",
"detail",
":",
"As",
"##sume",
"that"
] | NEM White paper | 649 |
2 Accounts and Addresses
" No wind serves him who addresses his voyage to no certain port. "- Michel de Montaigne
N
EM uses elliptic curve cryptography to ensure confidentiality, authenticity
and non-repudiability of all transactions. Each account is a private+public
Ed25519 keypair (section 3: Cryptography) and is associated with a mutable
state that is updated when transactions are accepted by the network. Ac-
counts are identified by NEM addresses, which are derived in part from one way mutations
of | [
170,
4321,
5053,
1403,
3300,
113,
150,
114,
1144,
170,
5233,
1104,
6087,
161,
15577,
1105,
1144,
1210,
1884,
5053,
1403,
118,
9468,
2772,
1905,
113,
138,
117,
139,
117,
140,
114,
1105,
1620,
161,
15577,
2993,
1106,
1129,
3175,
1121,
150,
1106,
1330,
3300,
161,
119,
6291,
1104,
1103,
1210,
1884,
19638,
6579,
1905,
1169,
19687,
1103,
1620,
161,
15577,
4036,
119,
1249,
19951,
1115,
139,
19687,
1116,
1103,
4036,
1105,
138,
1105,
140,
1884,
19638,
117,
1103,
1378,
3343,
1538,
3333,
1111,
1103,
13618,
1106,
1129,
3134,
131,
122,
119,
139,
8743,
170,
2366,
117,
8362,
16173,
4036,
13618,
1115,
1144,
1103,
4321,
5053,
1403,
3300,
1112,
1103,
107,
2951,
1200,
107,
1105,
1103,
4036,
2971,
1112,
1620,
161,
15577,
123,
119,
139,
21738,
1103,
8362,
16173,
4036,
13618,
1107,
170,
4321,
5053,
1403,
13618,
124,
119,
139,
5300,
1103,
4321,
5053,
1403,
13618,
1105,
10130,
1122,
1106,
1103,
26546,
2107,
2443,
125,
119,
138,
1105,
140,
1132,
21568,
1104,
1103,
15498,
4321,
5053,
1403,
13618,
126,
119,
138,
8743,
170,
4321,
5053,
1403,
8250,
13618,
1118,
6086,
1103,
1144,
1324,
1104,
1103,
8362,
16173,
14715,
118,
175,
1200,
13618,
1105,
10130,
1122,
1106,
1103,
2443,
127,
119,
140,
8743,
170,
4321,
5053,
1403,
8250,
13618,
1118,
6086,
1103,
1144,
1324,
1104,
1103,
8362,
16173,
14715,
118,
175,
1200,
13618,
1105,
10130,
1122,
1106,
1103,
2443,
128,
119,
2857,
1155,
1884,
19638,
6579,
1905,
113,
139,
24034,
18726,
1193,
1105,
138,
1105,
140,
12252,
114,
1138,
1878,
1103,
8362,
16173,
4036,
13618,
117,
1103,
13618,
1110,
3134,
1118,
1103,
2443,
1105,
1620,
161,
15577,
1110,
3175,
1121,
150,
1106,
161,
1409,
138,
1105,
120,
1137,
140,
1202,
1136,
3952,
170,
4321,
5053,
1403,
8250,
13618,
7671,
1106,
1103,
4321,
5053,
1403,
4036,
13618,
1196,
1103,
13618,
17638,
117,
1103,
4321,
5053,
1403,
4036,
13618,
1209,
1129,
5164,
1118,
1103,
2443,
1105,
1185,
161,
15577,
1209,
1129,
3175,
1121,
150,
1106,
161,
119,
125,
119,
125,
12118,
7235,
22750,
14409,
113,
22620,
1306,
12123,
114,
1332,
170,
1207,
13618,
1110,
1687,
1105,
4653,
1106,
170,
14372,
117,
1103,
14372,
8500,
1492,
1104,
4335,
122,
119,
11913,
1116,
1103,
13618,
1154,
1157,
8362,
7235,
22750,
13618,
21774,
123,
119,
19142,
1116,
1103,
13618,
1106,
1168,
15029,
113,
1191,
1103,
13618,
1110,
9221,
114,
1247,
1110,
1145,
170,
9590,
6978,
1111,
8362,
7235,
22750,
14409,
1219,
1296,
3510,
4129,
188,
27250,
8167,
11153,
8569,
1668,
119,
1188,
3643,
15029,
1115,
1202,
1136,
1138,
1147,
4104,
5603,
21500,
1501,
113,
1105,
3335,
2834,
3531,
8737,
114,
1106,
3858,
1164,
1207,
8362,
7235,
22750,
14409,
119,
8274,
13618,
9942,
1547,
21359,
18378,
1199,
2213,
2811,
1107,
1103,
2443,
1106,
7870,
1103,
2443,
1114,
1207,
14409,
1107,
1546,
1106,
26886,
1103,
2443,
119,
1135,
1110,
3335,
1834,
1106,
5310,
1103,
1295,
1104,
8362,
7235,
22750,
14409,
1134,
1132,
8630,
1118,
1103,
15029,
119,
14159,
8223,
1193,
15816,
1103,
1295,
1104,
8362,
7235,
22750,
14409,
1115,
170,
14372,
13749,
1110,
2213,
1272,
2999,
5681,
1253,
1431,
1129,
1682,
1106,
3952,
170,
13618,
1256,
1165,
1800
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"a",
"multi",
"##si",
"##g",
"account",
"(",
"M",
")",
"has",
"a",
"balance",
"of",
"1000",
"X",
"##EM",
"and",
"has",
"three",
"co",
"##si",
"##g",
"-",
"na",
"##tor",
"##ies",
"(",
"A",
",",
"B",
",",
"C",
")",
"and",
"100",
"X",
"##EM",
"needs",
"to",
"be",
"transferred",
"from",
"M",
"to",
"another",
"account",
"X",
".",
"Any",
"of",
"the",
"three",
"co",
"##sign",
"##ator",
"##ies",
"can",
"initiate",
"the",
"100",
"X",
"##EM",
"transfer",
".",
"As",
"##suming",
"that",
"B",
"initiate",
"##s",
"the",
"transfer",
"and",
"A",
"and",
"C",
"co",
"##sign",
",",
"the",
"following",
"steps",
"must",
"happen",
"for",
"the",
"transaction",
"to",
"be",
"accepted",
":",
"1",
".",
"B",
"creates",
"a",
"regular",
",",
"un",
"##signed",
"transfer",
"transaction",
"that",
"has",
"the",
"multi",
"##si",
"##g",
"account",
"as",
"the",
"\"",
"sign",
"##er",
"\"",
"and",
"the",
"transfer",
"amount",
"as",
"100",
"X",
"##EM",
"2",
".",
"B",
"wraps",
"the",
"un",
"##signed",
"transfer",
"transaction",
"in",
"a",
"multi",
"##si",
"##g",
"transaction",
"3",
".",
"B",
"signs",
"the",
"multi",
"##si",
"##g",
"transaction",
"and",
"sends",
"it",
"to",
"the",
"NE",
"##M",
"network",
"4",
".",
"A",
"and",
"C",
"are",
"notified",
"of",
"the",
"pending",
"multi",
"##si",
"##g",
"transaction",
"5",
".",
"A",
"creates",
"a",
"multi",
"##si",
"##g",
"signature",
"transaction",
"by",
"signing",
"the",
"has",
"##h",
"of",
"the",
"un",
"##signed",
"trans",
"-",
"f",
"##er",
"transaction",
"and",
"sends",
"it",
"to",
"the",
"network",
"6",
".",
"C",
"creates",
"a",
"multi",
"##si",
"##g",
"signature",
"transaction",
"by",
"signing",
"the",
"has",
"##h",
"of",
"the",
"un",
"##signed",
"trans",
"-",
"f",
"##er",
"transaction",
"and",
"sends",
"it",
"to",
"the",
"network",
"7",
".",
"Once",
"all",
"co",
"##sign",
"##ator",
"##ies",
"(",
"B",
"imp",
"##licit",
"##ly",
"and",
"A",
"and",
"C",
"explicitly",
")",
"have",
"signed",
"the",
"un",
"##signed",
"transfer",
"transaction",
",",
"the",
"transaction",
"is",
"accepted",
"by",
"the",
"network",
"and",
"100",
"X",
"##EM",
"is",
"transferred",
"from",
"M",
"to",
"X",
"If",
"A",
"and",
"/",
"or",
"C",
"do",
"not",
"send",
"a",
"multi",
"##si",
"##g",
"signature",
"transaction",
"corresponding",
"to",
"the",
"multi",
"##si",
"##g",
"transfer",
"transaction",
"before",
"the",
"transaction",
"deadline",
",",
"the",
"multi",
"##si",
"##g",
"transfer",
"transaction",
"will",
"be",
"rejected",
"by",
"the",
"network",
"and",
"no",
"X",
"##EM",
"will",
"be",
"transferred",
"from",
"M",
"to",
"X",
".",
"4",
".",
"4",
"Un",
"##con",
"##firmed",
"transactions",
"(",
"spa",
"##m",
"filter",
")",
"When",
"a",
"new",
"transaction",
"is",
"created",
"and",
"delivered",
"to",
"a",
"node",
",",
"the",
"node",
"Page",
"13",
"of",
"54",
"1",
".",
"Put",
"##s",
"the",
"transaction",
"into",
"its",
"un",
"##con",
"##firmed",
"transaction",
"cache",
"2",
".",
"Broadcast",
"##s",
"the",
"transaction",
"to",
"other",
"nodes",
"(",
"if",
"the",
"transaction",
"is",
"valid",
")",
"There",
"is",
"also",
"a",
"poll",
"mechanism",
"for",
"un",
"##con",
"##firmed",
"transactions",
"during",
"each",
"block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"round",
".",
"This",
"allows",
"nodes",
"that",
"do",
"not",
"have",
"their",
"port",
"78",
"##90",
"open",
"(",
"and",
"therefore",
"cannot",
"receive",
"broadcasts",
")",
"to",
"learn",
"about",
"new",
"un",
"##con",
"##firmed",
"transactions",
".",
"Low",
"transaction",
"fees",
"might",
"te",
"##mpt",
"some",
"bad",
"actor",
"in",
"the",
"network",
"to",
"flood",
"the",
"network",
"with",
"new",
"transactions",
"in",
"order",
"to",
"disturb",
"the",
"network",
".",
"It",
"is",
"therefore",
"needed",
"to",
"limit",
"the",
"number",
"of",
"un",
"##con",
"##firmed",
"transactions",
"which",
"are",
"handled",
"by",
"the",
"nodes",
".",
"Si",
"##mp",
"##ly",
"limiting",
"the",
"number",
"of",
"un",
"##con",
"##firmed",
"transactions",
"that",
"a",
"node",
"accepts",
"is",
"bad",
"because",
"normal",
"actors",
"still",
"should",
"be",
"able",
"to",
"send",
"a",
"transaction",
"even",
"when",
"someone"
] | NEM White paper | 650 |
Ed25519 public keys.
2.1 Account state
The state associated with each account includes the following items:
β’ account balance
β’ number of harvested blocks (see subsection 5.3: Block creation)
β’ height of the first transaction that referenced the account
β’ list of multisig accounts and list of cosignatories (see subsection 4.3: Multisig related
transaction types)
β’ information about delegated account status (see subsection 4.2: Importance transfer
transactions)
β’ importance and NCD aware rank (see | [
1110,
22620,
25004,
1103,
2443,
119,
21551,
21412,
1103,
1295,
1104,
8362,
7235,
22750,
14409,
1679,
3300,
1110,
1145,
1136,
1126,
5146,
1290,
1103,
19114,
1169,
2561,
1112,
1242,
5756,
1112,
113,
188,
114,
1119,
3349,
119,
26546,
2107,
1674,
26299,
1107,
170,
6866,
1200,
1236,
119,
138,
8156,
22620,
1306,
12123,
6771,
2480,
170,
1207,
8362,
7235,
22750,
13618,
1431,
1129,
14659,
1137,
5164,
119,
1135,
1759,
1103,
1378,
1236,
131,
794,
25515,
1103,
8362,
7235,
22750,
13618,
21774,
1112,
1515,
6087,
22223,
794,
1249,
1263,
1112,
1750,
1190,
5356,
22223,
1132,
2709,
117,
1185,
13618,
1110,
5164,
794,
15853,
1191,
1175,
1132,
1640,
175,
1116,
2709,
22223,
1105,
170,
1207,
8362,
7235,
22750,
13618,
1114,
2951,
1200,
138,
8121,
117,
1103,
4652,
2934,
1104,
22223,
1111,
3300,
138,
1107,
1103,
21774,
1110,
10056,
1112,
174,
3101,
119,
4495,
134,
113,
4495,
1104,
138,
114,
116,
12477,
1775,
113,
121,
119,
5187,
117,
13618,
9942,
6087,
7629,
114,
4652,
2934,
134,
113,
174,
3101,
119,
4495,
114,
218,
4252,
1643,
113,
851,
175,
1116,
3127,
114,
6087,
113,
6087,
25532,
175,
1116,
114,
1275,
1409,
138,
14679,
1750,
22223,
1190,
1157,
4652,
2934,
117,
1103,
1207,
8362,
7235,
22750,
13618,
1110,
170,
1665,
118,
172,
15384,
1174,
119,
5322,
1115,
1128,
1169,
2773,
1103,
2640,
1115,
1240,
1207,
13618,
1110,
3134,
1118,
10857,
3488,
118,
27629,
11486,
4138,
1103,
13618,
9942,
119,
15982,
124,
2196,
1103,
4652,
2934,
1104,
22223,
6055,
1103,
5475,
1634,
1104,
1103,
21774,
1111,
1126,
3903,
4495,
1104,
122,
119,
1760,
19114,
1115,
4642,
1106,
12774,
1242,
22223,
2834,
4361,
1277,
1118,
1606,
1242,
5756,
1112,
1103,
4495,
1104,
1296,
3300,
1209,
1129,
1304,
1822,
119,
1124,
1180,
2035,
1118,
4138,
1117,
13618,
9942,
1133,
1115,
1209,
1294,
1140,
4252,
11741,
1181,
1117,
4381,
1120,
170,
2299,
2603,
119,
8500,
1489,
1104,
4335,
1620,
2363,
3127,
3434,
2260,
4372,
5689,
4645,
7208,
122,
117,
1288,
121,
123,
125,
127,
5475,
1634,
175,
1161,
178,
1197,
188,
1324,
170,
1197,
174,
15982,
124,
131,
4652,
2934,
1111,
3903,
4495,
1104,
122,
8500,
1405,
1104,
4335,
126,
8093,
1116,
1105,
1103,
3510,
4129,
107,
1409,
1518,
146,
1106,
1103,
1721,
4103,
1474,
131,
9896,
1721,
117,
1202,
1136,
2789,
1283,
106,
1599,
1128,
1336,
26621,
1240,
9236,
1106,
15600,
1143,
117,
107,
118,
8686,
14326,
3262,
25845,
157,
1119,
2129,
5290,
1104,
1451,
5354,
6451,
1186,
10202,
1110,
170,
1470,
21340,
1197,
1270,
1103,
3510,
4129,
1115,
6743,
5511,
1487,
119,
2994,
26546,
2107,
3510,
1169,
4651,
1146,
1106,
5356,
14409,
119,
1967,
1103,
5511,
1107,
1103,
4129,
1105,
1103,
14409,
1107,
1103,
5511,
1132,
2802,
117,
1103,
2335,
13618,
1607,
1110,
1316,
1107,
1103,
3510,
4129,
119,
8093,
1116,
1132,
7905,
1107,
170,
8539,
1112,
4088,
5143,
119,
26546,
2107,
3675,
1103,
1148,
3510,
1107,
1103,
4129,
1103,
24928,
6801,
1548,
3510,
119,
2994,
3510,
2923,
1104,
1103,
1378,
2192,
131,
122,
119,
1103,
3510,
1683,
123,
119,
1103,
3510,
1159,
13182,
124,
119,
1103,
1470,
2501,
1104,
1103,
15390,
1200,
113,
3510,
9264,
114,
125
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
23,
24,
24,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
23,
24,
24,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"is",
"spa",
"##mming",
"the",
"network",
".",
"Lim",
"##iting",
"the",
"number",
"of",
"un",
"##con",
"##firmed",
"transactions",
"per",
"account",
"is",
"also",
"not",
"an",
"option",
"since",
"the",
"attacker",
"can",
"create",
"as",
"many",
"accounts",
"as",
"(",
"s",
")",
"he",
"wants",
".",
"NE",
"##M",
"does",
"filtering",
"in",
"a",
"smart",
"##er",
"way",
".",
"A",
"custom",
"spa",
"##m",
"filter",
"decides",
"whether",
"a",
"new",
"un",
"##con",
"##firmed",
"transaction",
"should",
"be",
"processed",
"or",
"rejected",
".",
"It",
"works",
"the",
"following",
"way",
":",
"β’",
"Consider",
"the",
"un",
"##con",
"##firmed",
"transaction",
"cache",
"as",
"having",
"1000",
"slots",
"β’",
"As",
"long",
"as",
"less",
"than",
"120",
"slots",
"are",
"filled",
",",
"no",
"transaction",
"is",
"rejected",
"β’",
"Otherwise",
"if",
"there",
"are",
"already",
"f",
"##s",
"filled",
"slots",
"and",
"a",
"new",
"un",
"##con",
"##firmed",
"transaction",
"with",
"sign",
"##er",
"A",
"arrives",
",",
"the",
"fair",
"share",
"of",
"slots",
"for",
"account",
"A",
"in",
"the",
"cache",
"is",
"calculated",
"as",
"e",
"##ff",
".",
"importance",
"=",
"(",
"importance",
"of",
"A",
")",
"+",
"ma",
"##x",
"(",
"0",
".",
"01",
",",
"transaction",
"fees",
"1000",
"##00",
")",
"fair",
"share",
"=",
"(",
"e",
"##ff",
".",
"importance",
")",
"Β·",
"ex",
"##p",
"(",
"β",
"f",
"##s",
"300",
")",
"1000",
"(",
"1000",
"##β",
"f",
"##s",
")",
"10",
"If",
"A",
"occupies",
"less",
"slots",
"than",
"its",
"fair",
"share",
",",
"the",
"new",
"un",
"##con",
"##firmed",
"transaction",
"is",
"a",
"##c",
"-",
"c",
"##ept",
"##ed",
".",
"Note",
"that",
"you",
"can",
"increase",
"the",
"chance",
"that",
"your",
"new",
"transaction",
"is",
"accepted",
"by",
"vol",
"##un",
"-",
"ta",
"##rily",
"increasing",
"the",
"transaction",
"fees",
".",
"Figure",
"3",
"shows",
"the",
"fair",
"share",
"of",
"slots",
"versus",
"the",
"fill",
"level",
"of",
"the",
"cache",
"for",
"an",
"effective",
"importance",
"of",
"1",
".",
"An",
"attacker",
"that",
"tries",
"to",
"occupy",
"many",
"slots",
"cannot",
"gain",
"much",
"by",
"using",
"many",
"accounts",
"as",
"the",
"importance",
"of",
"each",
"account",
"will",
"be",
"very",
"low",
".",
"He",
"could",
"attack",
"by",
"increasing",
"his",
"transaction",
"fees",
"but",
"that",
"will",
"make",
"him",
"ex",
"##pen",
"##d",
"his",
"funds",
"at",
"a",
"higher",
"rate",
".",
"Page",
"14",
"of",
"54",
"100",
"200",
"300",
"400",
"500",
"600",
"700",
"800",
"900",
"1",
",",
"000",
"0",
"2",
"4",
"6",
"fill",
"level",
"f",
"##a",
"i",
"##r",
"s",
"##h",
"a",
"##r",
"e",
"Figure",
"3",
":",
"fair",
"share",
"for",
"effective",
"importance",
"of",
"1",
"Page",
"15",
"of",
"54",
"5",
"Block",
"##s",
"and",
"the",
"block",
"chain",
"\"",
"If",
"ever",
"I",
"to",
"the",
"moment",
"shall",
"say",
":",
"Beautiful",
"moment",
",",
"do",
"not",
"pass",
"away",
"!",
"Then",
"you",
"may",
"forge",
"your",
"chains",
"to",
"bind",
"me",
",",
"\"",
"-",
"Johann",
"Wolfgang",
"von",
"Goethe",
"T",
"he",
"central",
"element",
"of",
"every",
"cry",
"##pt",
"##o",
"currency",
"is",
"a",
"public",
"ledge",
"##r",
"called",
"the",
"block",
"chain",
"that",
"links",
"blocks",
"together",
".",
"Each",
"NE",
"##M",
"block",
"can",
"contain",
"up",
"to",
"120",
"transactions",
".",
"Since",
"the",
"blocks",
"in",
"the",
"chain",
"and",
"the",
"transactions",
"in",
"the",
"blocks",
"are",
"ordered",
",",
"the",
"complete",
"transaction",
"history",
"is",
"held",
"in",
"the",
"block",
"chain",
".",
"Block",
"##s",
"are",
"stored",
"in",
"a",
"database",
"as",
"permanent",
"medium",
".",
"NE",
"##M",
"calls",
"the",
"first",
"block",
"in",
"the",
"chain",
"the",
"ne",
"##mes",
"##is",
"block",
".",
"Each",
"block",
"consists",
"of",
"the",
"following",
"parts",
":",
"1",
".",
"the",
"block",
"version",
"2",
".",
"the",
"block",
"time",
"stamp",
"3",
".",
"the",
"public",
"key",
"of",
"the",
"harvest",
"##er",
"(",
"block",
"creator",
")",
"4"
] | NEM White paper | 651 |
section 7: Proof-of-Importance)
β’ vested balance (crucial for PoI and NEM itself)
The underlying crypto currency of the NEM network is called XEM. Each account's
XEM balance is split into two parts: vested and unvested.
Whenever an account receives XEM, the new XEM are added to the account's unvested
balance. When an account sends XEM, XEMs are taken from both the vested and the
unvested balance, to retain the vested to unvested ratio1. Additionally, every 1440 blocks,
1
10 of the unvested balance is | [
119,
1103,
8250,
1111,
1103,
3510,
2233,
126,
119,
1103,
2166,
3510,
1144,
1324,
127,
119,
1103,
3964,
1144,
1324,
113,
1834,
1111,
3510,
3707,
114,
128,
119,
1103,
3510,
3976,
129,
119,
1103,
2190,
1104,
14409,
1130,
1103,
1378,
4886,
117,
1103,
1144,
1324,
3053,
145,
1579,
2086,
1103,
18440,
118,
2113,
156,
2328,
1495,
1144,
1324,
3053,
119,
126,
119,
122,
8093,
7262,
1109,
7262,
1111,
170,
1207,
3510,
1110,
10056,
1121,
1103,
7866,
1105,
1159,
13321,
1104,
1103,
1314,
2539,
5511,
119,
1409,
1750,
1190,
2539,
5511,
1132,
1907,
117,
1178,
1343,
1132,
1678,
1154,
3300,
119,
8500,
1479,
1104,
4335,
1406,
117,
1288,
1512,
117,
1288,
1476,
117,
1288,
2588,
117,
1288,
1969,
117,
1288,
2532,
117,
1288,
1851,
117,
1288,
3731,
117,
1288,
2539,
117,
1288,
4376,
4650,
2539,
5073,
3324,
5046,
3510,
3976,
14516,
1884,
183,
1181,
188,
3510,
1551,
1903,
1166,
9174,
5511,
15982,
125,
131,
4304,
5795,
1903,
3510,
1551,
1166,
9174,
5511,
1409,
1178,
1141,
3510,
1110,
1907,
117,
1173,
1103,
3510,
1144,
170,
3073,
2007,
24191,
1181,
3288,
7262,
1104,
7393,
1527,
119,
15853,
117,
1103,
7262,
1110,
10056,
1121,
1103,
1314,
183,
5511,
1103,
1378,
1236,
131,
173,
134,
122,
183,
100,
178,
134,
122,
113,
7262,
1104,
3510,
178,
114,
113,
1903,
7262,
114,
189,
134,
122,
183,
100,
178,
134,
122,
113,
1159,
1106,
2561,
3510,
178,
114,
113,
1903,
3707,
1159,
114,
7262,
134,
173,
2539,
189,
113,
1207,
7262,
114,
1409,
1103,
1207,
7262,
1110,
1167,
1190,
126,
110,
3407,
1137,
2964,
1190,
1103,
7262,
1104,
1103,
1314,
3510,
117,
1173,
1103,
1849,
1110,
14510,
1106,
126,
110,
119,
5533,
117,
7866,
1132,
2023,
1439,
2218,
22379,
119,
1109,
1207,
7262,
1110,
20129,
1106,
1103,
7070,
1191,
1122,
1110,
3407,
1190,
7393,
1571,
1137,
2964,
1190,
7393,
1495,
119,
14159,
13601,
6840,
1116,
1105,
1103,
26546,
2107,
11933,
4065,
1138,
2602,
1115,
1103,
9932,
6570,
5511,
1114,
1126,
1903,
1159,
1104,
2539,
28168,
121,
119,
126,
3071,
119,
1109,
3345,
1849,
2603,
1104,
126,
110,
2228,
1122,
1662,
1111,
1126,
19114,
1114,
9627,
1750,
1190,
1851,
110,
4495,
1106,
2561,
170,
1618,
4129,
1107,
3318,
1290,
3510,
1551,
1209,
1129,
9627,
2299,
1190,
2539,
3071,
1111,
1103,
2150,
1104,
1117,
3318,
4129,
119,
8500,
1542,
1104,
4335,
126,
119,
123,
8093,
2794,
1109,
2794,
1111,
170,
3510,
1110,
4408,
1121,
1157,
7262,
1105,
1103,
1159,
113,
1107,
3071,
114,
1115,
1144,
8468,
11478,
5591,
1290,
1103,
1314,
3510,
131,
2794,
134,
7262,
851,
1159,
8468,
2225,
3537,
1290,
1314,
3510,
113,
3510,
2794,
114,
126,
119,
124,
8093,
3707,
1109,
1965,
1104,
3780,
1207,
5511,
1110,
1270,
25039,
119,
1109,
25039,
3300,
3370,
1103,
9942,
1111,
1103,
14409,
1107,
1103,
3510,
119,
1188,
3114,
1103,
15390,
1200,
1126,
23692,
1106,
5194,
1112,
1242,
14409,
1106,
1103,
3510,
1112,
1936,
119,
6291,
3300,
1115,
1144,
170,
21531,
1174,
5233,
1104,
1120,
1655,
1275,
117,
1288,
161,
15577,
1110,
7408,
1106,
15390,
119,
1706,
4031,
1191,
1126,
3300,
1110,
2148,
1106,
2561,
170,
1207,
3510,
1120,
170
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
24,
24,
24,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
24,
24,
24,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
"the",
"signature",
"for",
"the",
"block",
"data",
"5",
".",
"the",
"previous",
"block",
"has",
"##h",
"6",
".",
"the",
"generation",
"has",
"##h",
"(",
"needed",
"for",
"block",
"creation",
")",
"7",
".",
"the",
"block",
"height",
"8",
".",
"the",
"list",
"of",
"transactions",
"In",
"the",
"following",
"sections",
",",
"the",
"has",
"##h",
"function",
"H",
"always",
"means",
"the",
"256",
"-",
"bit",
"S",
"##ha",
"##3",
"has",
"##h",
"function",
".",
"5",
".",
"1",
"Block",
"difficulty",
"The",
"difficulty",
"for",
"a",
"new",
"block",
"is",
"calculated",
"from",
"the",
"difficulties",
"and",
"time",
"stamps",
"of",
"the",
"last",
"60",
"blocks",
".",
"If",
"less",
"than",
"60",
"blocks",
"are",
"available",
",",
"only",
"those",
"are",
"taken",
"into",
"account",
".",
"Page",
"16",
"of",
"54",
"20",
",",
"000",
"25",
",",
"000",
"30",
",",
"000",
"35",
",",
"000",
"40",
",",
"000",
"45",
",",
"000",
"50",
",",
"000",
"55",
",",
"000",
"60",
",",
"000",
"56",
"58",
"60",
"62",
"64",
"66",
"block",
"height",
"se",
"co",
"n",
"##d",
"s",
"block",
"times",
"average",
"over",
"360",
"blocks",
"Figure",
"4",
":",
"Main",
"net",
"average",
"block",
"times",
"over",
"360",
"blocks",
"If",
"only",
"one",
"block",
"is",
"available",
",",
"then",
"the",
"block",
"has",
"a",
"pre",
"##de",
"##fine",
"##d",
"initial",
"difficulty",
"of",
"101",
"##4",
".",
"Otherwise",
",",
"the",
"difficulty",
"is",
"calculated",
"from",
"the",
"last",
"n",
"blocks",
"the",
"following",
"way",
":",
"d",
"=",
"1",
"n",
"[UNK]",
"i",
"=",
"1",
"(",
"difficulty",
"of",
"block",
"i",
")",
"(",
"average",
"difficulty",
")",
"t",
"=",
"1",
"n",
"[UNK]",
"i",
"=",
"1",
"(",
"time",
"to",
"create",
"block",
"i",
")",
"(",
"average",
"creation",
"time",
")",
"difficulty",
"=",
"d",
"60",
"t",
"(",
"new",
"difficulty",
")",
"If",
"the",
"new",
"difficulty",
"is",
"more",
"than",
"5",
"%",
"greater",
"or",
"smaller",
"than",
"the",
"difficulty",
"of",
"the",
"last",
"block",
",",
"then",
"the",
"change",
"is",
"capped",
"to",
"5",
"%",
".",
"Additionally",
",",
"difficulties",
"are",
"kept",
"within",
"certain",
"bounds",
".",
"The",
"new",
"difficulty",
"is",
"clamped",
"to",
"the",
"boundaries",
"if",
"it",
"is",
"greater",
"than",
"101",
"##5",
"or",
"smaller",
"than",
"101",
"##3",
".",
"Si",
"##mu",
"##lation",
"##s",
"and",
"the",
"NE",
"##M",
"beta",
"phase",
"have",
"shown",
"that",
"the",
"algorithm",
"produces",
"blocks",
"with",
"an",
"average",
"time",
"of",
"60",
"##Β±",
"0",
".",
"5",
"seconds",
".",
"The",
"slow",
"change",
"rate",
"of",
"5",
"%",
"makes",
"it",
"hard",
"for",
"an",
"attacker",
"with",
"considerably",
"less",
"than",
"50",
"%",
"importance",
"to",
"create",
"a",
"better",
"chain",
"in",
"secret",
"since",
"block",
"times",
"will",
"be",
"considerably",
"higher",
"than",
"60",
"seconds",
"for",
"the",
"beginning",
"of",
"his",
"secret",
"chain",
".",
"Page",
"17",
"of",
"54",
"5",
".",
"2",
"Block",
"score",
"The",
"score",
"for",
"a",
"block",
"is",
"derived",
"from",
"its",
"difficulty",
"and",
"the",
"time",
"(",
"in",
"seconds",
")",
"that",
"has",
"el",
"##ap",
"##sed",
"since",
"the",
"last",
"block",
":",
"score",
"=",
"difficulty",
"β",
"time",
"el",
"##as",
"##ped",
"since",
"last",
"block",
"(",
"block",
"score",
")",
"5",
".",
"3",
"Block",
"creation",
"The",
"process",
"of",
"creating",
"new",
"blocks",
"is",
"called",
"harvesting",
".",
"The",
"harvesting",
"account",
"gets",
"the",
"fees",
"for",
"the",
"transactions",
"in",
"the",
"block",
".",
"This",
"gives",
"the",
"harvest",
"##er",
"an",
"incentive",
"to",
"add",
"as",
"many",
"transactions",
"to",
"the",
"block",
"as",
"possible",
".",
"Any",
"account",
"that",
"has",
"a",
"vest",
"##ed",
"balance",
"of",
"at",
"least",
"10",
",",
"000",
"X",
"##EM",
"is",
"eligible",
"to",
"harvest",
".",
"To",
"check",
"if",
"an",
"account",
"is",
"allowed",
"to",
"create",
"a",
"new",
"block",
"at",
"a"
] | NEM White paper | 652 |
section 7: Proof-of-Importance)
β’ vested balance (crucial for PoI and NEM itself)
The underlying crypto currency of the NEM network is called XEM. Each account's
XEM balance is split into two parts: vested and unvested.
Whenever an account receives XEM, the new XEM are added to the account's unvested
balance. When an account sends XEM, XEMs are taken from both the vested and the
unvested balance, to retain the vested to unvested ratio1. Additionally, every 1440 blocks,
1
10 of the unvested balance is | [
119,
1103,
8250,
1111,
1103,
3510,
2233,
126,
119,
1103,
2166,
3510,
1144,
1324,
127,
119,
1103,
3964,
1144,
1324,
113,
1834,
1111,
3510,
3707,
114,
128,
119,
1103,
3510,
3976,
129,
119,
1103,
2190,
1104,
14409,
1130,
1103,
1378,
4886,
117,
1103,
1144,
1324,
3053,
145,
1579,
2086,
1103,
18440,
118,
2113,
156,
2328,
1495,
1144,
1324,
3053,
119,
126,
119,
122,
8093,
7262,
1109,
7262,
1111,
170,
1207,
3510,
1110,
10056,
1121,
1103,
7866,
1105,
1159,
13321,
1104,
1103,
1314,
2539,
5511,
119,
1409,
1750,
1190,
2539,
5511,
1132,
1907,
117,
1178,
1343,
1132,
1678,
1154,
3300,
119,
8500,
1479,
1104,
4335,
1406,
117,
1288,
1512,
117,
1288,
1476,
117,
1288,
2588,
117,
1288,
1969,
117,
1288,
2532,
117,
1288,
1851,
117,
1288,
3731,
117,
1288,
2539,
117,
1288,
4376,
4650,
2539,
5073,
3324,
5046,
3510,
3976,
14516,
1884,
183,
1181,
188,
3510,
1551,
1903,
1166,
9174,
5511,
15982,
125,
131,
4304,
5795,
1903,
3510,
1551,
1166,
9174,
5511,
1409,
1178,
1141,
3510,
1110,
1907,
117,
1173,
1103,
3510,
1144,
170,
3073,
2007,
24191,
1181,
3288,
7262,
1104,
7393,
1527,
119,
15853,
117,
1103,
7262,
1110,
10056,
1121,
1103,
1314,
183,
5511,
1103,
1378,
1236,
131,
173,
134,
122,
183,
100,
178,
134,
122,
113,
7262,
1104,
3510,
178,
114,
113,
1903,
7262,
114,
189,
134,
122,
183,
100,
178,
134,
122,
113,
1159,
1106,
2561,
3510,
178,
114,
113,
1903,
3707,
1159,
114,
7262,
134,
173,
2539,
189,
113,
1207,
7262,
114,
1409,
1103,
1207,
7262,
1110,
1167,
1190,
126,
110,
3407,
1137,
2964,
1190,
1103,
7262,
1104,
1103,
1314,
3510,
117,
1173,
1103,
1849,
1110,
14510,
1106,
126,
110,
119,
5533,
117,
7866,
1132,
2023,
1439,
2218,
22379,
119,
1109,
1207,
7262,
1110,
20129,
1106,
1103,
7070,
1191,
1122,
1110,
3407,
1190,
7393,
1571,
1137,
2964,
1190,
7393,
1495,
119,
14159,
13601,
6840,
1116,
1105,
1103,
26546,
2107,
11933,
4065,
1138,
2602,
1115,
1103,
9932,
6570,
5511,
1114,
1126,
1903,
1159,
1104,
2539,
28168,
121,
119,
126,
3071,
119,
1109,
3345,
1849,
2603,
1104,
126,
110,
2228,
1122,
1662,
1111,
1126,
19114,
1114,
9627,
1750,
1190,
1851,
110,
4495,
1106,
2561,
170,
1618,
4129,
1107,
3318,
1290,
3510,
1551,
1209,
1129,
9627,
2299,
1190,
2539,
3071,
1111,
1103,
2150,
1104,
1117,
3318,
4129,
119,
8500,
1542,
1104,
4335,
126,
119,
123,
8093,
2794,
1109,
2794,
1111,
170,
3510,
1110,
4408,
1121,
1157,
7262,
1105,
1103,
1159,
113,
1107,
3071,
114,
1115,
1144,
8468,
11478,
5591,
1290,
1103,
1314,
3510,
131,
2794,
134,
7262,
851,
1159,
8468,
2225,
3537,
1290,
1314,
3510,
113,
3510,
2794,
114,
126,
119,
124,
8093,
3707,
1109,
1965,
1104,
3780,
1207,
5511,
1110,
1270,
25039,
119,
1109,
25039,
3300,
3370,
1103,
9942,
1111,
1103,
14409,
1107,
1103,
3510,
119,
1188,
3114,
1103,
15390,
1200,
1126,
23692,
1106,
5194,
1112,
1242,
14409,
1106,
1103,
3510,
1112,
1936,
119,
6291,
3300,
1115,
1144,
170,
21531,
1174,
5233,
1104,
1120,
1655,
1275,
117,
1288,
161,
15577,
1110,
7408,
1106,
15390,
119,
1706,
4031,
1191,
1126,
3300,
1110,
2148,
1106,
2561,
170,
1207,
3510,
1120,
170
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
".",
"the",
"signature",
"for",
"the",
"block",
"data",
"5",
".",
"the",
"previous",
"block",
"has",
"##h",
"6",
".",
"the",
"generation",
"has",
"##h",
"(",
"needed",
"for",
"block",
"creation",
")",
"7",
".",
"the",
"block",
"height",
"8",
".",
"the",
"list",
"of",
"transactions",
"In",
"the",
"following",
"sections",
",",
"the",
"has",
"##h",
"function",
"H",
"always",
"means",
"the",
"256",
"-",
"bit",
"S",
"##ha",
"##3",
"has",
"##h",
"function",
".",
"5",
".",
"1",
"Block",
"difficulty",
"The",
"difficulty",
"for",
"a",
"new",
"block",
"is",
"calculated",
"from",
"the",
"difficulties",
"and",
"time",
"stamps",
"of",
"the",
"last",
"60",
"blocks",
".",
"If",
"less",
"than",
"60",
"blocks",
"are",
"available",
",",
"only",
"those",
"are",
"taken",
"into",
"account",
".",
"Page",
"16",
"of",
"54",
"20",
",",
"000",
"25",
",",
"000",
"30",
",",
"000",
"35",
",",
"000",
"40",
",",
"000",
"45",
",",
"000",
"50",
",",
"000",
"55",
",",
"000",
"60",
",",
"000",
"56",
"58",
"60",
"62",
"64",
"66",
"block",
"height",
"se",
"co",
"n",
"##d",
"s",
"block",
"times",
"average",
"over",
"360",
"blocks",
"Figure",
"4",
":",
"Main",
"net",
"average",
"block",
"times",
"over",
"360",
"blocks",
"If",
"only",
"one",
"block",
"is",
"available",
",",
"then",
"the",
"block",
"has",
"a",
"pre",
"##de",
"##fine",
"##d",
"initial",
"difficulty",
"of",
"101",
"##4",
".",
"Otherwise",
",",
"the",
"difficulty",
"is",
"calculated",
"from",
"the",
"last",
"n",
"blocks",
"the",
"following",
"way",
":",
"d",
"=",
"1",
"n",
"[UNK]",
"i",
"=",
"1",
"(",
"difficulty",
"of",
"block",
"i",
")",
"(",
"average",
"difficulty",
")",
"t",
"=",
"1",
"n",
"[UNK]",
"i",
"=",
"1",
"(",
"time",
"to",
"create",
"block",
"i",
")",
"(",
"average",
"creation",
"time",
")",
"difficulty",
"=",
"d",
"60",
"t",
"(",
"new",
"difficulty",
")",
"If",
"the",
"new",
"difficulty",
"is",
"more",
"than",
"5",
"%",
"greater",
"or",
"smaller",
"than",
"the",
"difficulty",
"of",
"the",
"last",
"block",
",",
"then",
"the",
"change",
"is",
"capped",
"to",
"5",
"%",
".",
"Additionally",
",",
"difficulties",
"are",
"kept",
"within",
"certain",
"bounds",
".",
"The",
"new",
"difficulty",
"is",
"clamped",
"to",
"the",
"boundaries",
"if",
"it",
"is",
"greater",
"than",
"101",
"##5",
"or",
"smaller",
"than",
"101",
"##3",
".",
"Si",
"##mu",
"##lation",
"##s",
"and",
"the",
"NE",
"##M",
"beta",
"phase",
"have",
"shown",
"that",
"the",
"algorithm",
"produces",
"blocks",
"with",
"an",
"average",
"time",
"of",
"60",
"##Β±",
"0",
".",
"5",
"seconds",
".",
"The",
"slow",
"change",
"rate",
"of",
"5",
"%",
"makes",
"it",
"hard",
"for",
"an",
"attacker",
"with",
"considerably",
"less",
"than",
"50",
"%",
"importance",
"to",
"create",
"a",
"better",
"chain",
"in",
"secret",
"since",
"block",
"times",
"will",
"be",
"considerably",
"higher",
"than",
"60",
"seconds",
"for",
"the",
"beginning",
"of",
"his",
"secret",
"chain",
".",
"Page",
"17",
"of",
"54",
"5",
".",
"2",
"Block",
"score",
"The",
"score",
"for",
"a",
"block",
"is",
"derived",
"from",
"its",
"difficulty",
"and",
"the",
"time",
"(",
"in",
"seconds",
")",
"that",
"has",
"el",
"##ap",
"##sed",
"since",
"the",
"last",
"block",
":",
"score",
"=",
"difficulty",
"β",
"time",
"el",
"##as",
"##ped",
"since",
"last",
"block",
"(",
"block",
"score",
")",
"5",
".",
"3",
"Block",
"creation",
"The",
"process",
"of",
"creating",
"new",
"blocks",
"is",
"called",
"harvesting",
".",
"The",
"harvesting",
"account",
"gets",
"the",
"fees",
"for",
"the",
"transactions",
"in",
"the",
"block",
".",
"This",
"gives",
"the",
"harvest",
"##er",
"an",
"incentive",
"to",
"add",
"as",
"many",
"transactions",
"to",
"the",
"block",
"as",
"possible",
".",
"Any",
"account",
"that",
"has",
"a",
"vest",
"##ed",
"balance",
"of",
"at",
"least",
"10",
",",
"000",
"X",
"##EM",
"is",
"eligible",
"to",
"harvest",
".",
"To",
"check",
"if",
"an",
"account",
"is",
"allowed",
"to",
"create",
"a",
"new",
"block",
"at",
"a"
] | NEM White paper | 653 |
moved to the vested part.
1Of course that is not always possible
Page 2 of 54
0 2 4 6 8 10 12 14 16 18 20
0
10,000
20,000
30,000
40,000
50,000
60,000
70,000
80,000
90,000
days
ve
st
ed
pa
rt
Figure 1: Vesting of 100,000 XEM
All accounts in the nemesis block2 are fully vested.
2.2 NEM addresses
A NEM address is a base-323 encoded triplet consisting of:
β’ network byte
β’ 160-bit hash of the account's public key
β’ 4 byte checksum
The checksum allows for quick recognition of mistyped | [
2747,
2443,
1159,
117,
1103,
1378,
10986,
1132,
10056,
131,
177,
134,
145,
113,
3964,
1144,
1324,
1104,
2166,
3510,
117,
1470,
2501,
1104,
3300,
114,
9829,
1112,
18440,
118,
2113,
18157,
189,
134,
1159,
1107,
3071,
1290,
1314,
3510,
171,
134,
5840,
1580,
1580,
1580,
1580,
1580,
1580,
1580,
1580,
218,
113,
4495,
1104,
1103,
3300,
114,
173,
134,
7262,
1111,
1207,
3510,
1105,
1121,
1115,
1103,
1855,
1105,
4010,
18157,
4718,
131,
1855,
134,
24613,
100,
113,
177,
15684,
1545,
114,
100,
4010,
134,
23852,
171,
173,
189,
1109,
3300,
1110,
2148,
1106,
2561,
1103,
1207,
3510,
7747,
1855,
133,
4010,
119,
1130,
1103,
1692,
1104,
13715,
1181,
25039,
117,
1103,
4495,
1104,
1103,
1560,
3300,
1110,
1215,
1939,
1104,
1103,
4495,
1104,
1103,
13715,
1181,
3300,
119,
1967,
4010,
1110,
15122,
1106,
1103,
8468,
11478,
5591,
1159,
117,
170,
1207,
3510,
1209,
1129,
1687,
1170,
170,
2218,
2971,
1104,
1159,
1256,
1191,
1155,
5756,
1132,
8362,
23251,
1183,
1105,
9509,
170,
1304,
1344,
1855,
119,
2907,
3805,
1115,
1855,
1144,
1126,
4252,
5674,
21222,
2916,
3735,
119,
6589,
117,
1103,
9750,
1106,
2561,
170,
1207,
3510,
1674,
1136,
1849,
1191,
1103,
4495,
1110,
3325,
1621,
1242,
5756,
119,
8500,
1407,
1104,
4335,
126,
119,
125,
8093,
4129,
188,
27250,
8167,
11153,
8569,
1967,
5511,
1132,
3346,
170,
2794,
117,
170,
2794,
1169,
1129,
3346,
1106,
170,
4129,
1104,
5511,
1315,
131,
2794,
134,
100,
3510,
28745,
27467,
1116,
3510,
2794,
113,
3510,
4129,
2794,
114,
8093,
4129,
188,
27250,
8167,
11153,
8569,
1110,
170,
2129,
4579,
1111,
1451,
3510,
4129,
1359,
5354,
6451,
1186,
10202,
119,
1622,
1159,
1106,
1159,
170,
1469,
14372,
1209,
2367,
170,
6456,
14372,
1164,
1157,
4129,
119,
1109,
6456,
14372,
1110,
2700,
1606,
1103,
10056,
3496,
4718,
113,
1267,
2237,
127,
131,
138,
5244,
1449,
1111,
15029,
114,
119,
1409,
1103,
6456,
14372,
11323,
170,
4129,
1114,
170,
2299,
2794,
117,
1103,
1160,
15029,
2222,
1106,
5340,
1113,
1103,
1314,
1887,
3510,
119,
1409,
2265,
117,
1103,
6456,
14372,
1209,
3880,
1146,
1106,
3434,
5511,
1104,
1157,
4129,
1106,
1103,
1469,
14372,
119,
1409,
1103,
7694,
4129,
1110,
9221,
117,
1103,
1469,
14372,
1209,
4971,
1157,
1319,
4129,
1114,
1103,
6456,
4129,
119,
1409,
1103,
7694,
4129,
1110,
22475,
117,
1103,
1469,
14372,
1209,
16589,
1103,
4129,
1105,
4615,
1103,
188,
27250,
8167,
11153,
8569,
2661,
1114,
1103,
6456,
14372,
1106,
1138,
2604,
119,
1188,
9932,
1209,
1145,
10820,
13097,
1116,
119,
1109,
1314,
1887,
3510,
1336,
1138,
170,
3976,
3719,
1104,
1120,
1211,
9174,
3402,
1106,
1103,
1469,
14372,
112,
188,
1314,
3510,
119,
4516,
117,
1103,
12477,
23984,
5415,
1104,
13097,
1116,
1115,
1169,
1129,
10456,
2258,
1103,
188,
27250,
8167,
11153,
8569,
9932,
1110,
9174,
119,
1109,
4235,
3481,
1113,
1103,
1397,
3674,
20873,
1116,
1103,
1965,
1107,
1167,
6505,
119,
8500,
1627,
1104,
4335,
15599,
18193,
1226,
118,
24928,
1197,
14372,
24961,
14372,
1907,
136,
19140,
2944,
113,
8795,
114,
18149,
1111,
6456,
4129,
2794,
8529,
2794,
136,
24619,
8362,
7235,
22750,
4487,
2316,
22946,
19140,
2944,
113
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
24,
0,
21,
22,
22,
22,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
24,
24,
0,
21,
22,
22,
22,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"specific",
"network",
"time",
",",
"the",
"following",
"variables",
"are",
"calculated",
":",
"h",
"=",
"H",
"(",
"generation",
"has",
"##h",
"of",
"previous",
"block",
",",
"public",
"key",
"of",
"account",
")",
"interpreted",
"as",
"256",
"-",
"bit",
"integer",
"t",
"=",
"time",
"in",
"seconds",
"since",
"last",
"block",
"b",
"=",
"89",
"##9",
"##9",
"##9",
"##9",
"##9",
"##9",
"##9",
"##9",
"Β·",
"(",
"importance",
"of",
"the",
"account",
")",
"d",
"=",
"difficulty",
"for",
"new",
"block",
"and",
"from",
"that",
"the",
"hit",
"and",
"target",
"integer",
"values",
":",
"hit",
"=",
"254",
"[UNK]",
"(",
"h",
"225",
"##6",
")",
"[UNK]",
"target",
"=",
"264",
"b",
"d",
"t",
"The",
"account",
"is",
"allowed",
"to",
"create",
"the",
"new",
"block",
"whenever",
"hit",
"<",
"target",
".",
"In",
"the",
"case",
"of",
"delegate",
"##d",
"harvesting",
",",
"the",
"importance",
"of",
"the",
"original",
"account",
"is",
"used",
"instead",
"of",
"the",
"importance",
"of",
"the",
"delegate",
"##d",
"account",
".",
"Since",
"target",
"is",
"proportional",
"to",
"the",
"el",
"##ap",
"##sed",
"time",
",",
"a",
"new",
"block",
"will",
"be",
"created",
"after",
"a",
"certain",
"amount",
"of",
"time",
"even",
"if",
"all",
"accounts",
"are",
"un",
"##luck",
"##y",
"and",
"generate",
"a",
"very",
"high",
"hit",
".",
"Also",
"note",
"that",
"hit",
"has",
"an",
"ex",
"##po",
"##nent",
"##ial",
"distribution",
".",
"Therefore",
",",
"the",
"probability",
"to",
"create",
"a",
"new",
"block",
"does",
"not",
"change",
"if",
"the",
"importance",
"is",
"split",
"among",
"many",
"accounts",
".",
"Page",
"18",
"of",
"54",
"5",
".",
"4",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"Since",
"blocks",
"are",
"assigned",
"a",
"score",
",",
"a",
"score",
"can",
"be",
"assigned",
"to",
"a",
"chain",
"of",
"blocks",
"too",
":",
"score",
"=",
"[UNK]",
"block",
"##β",
"##block",
"##s",
"block",
"score",
"(",
"block",
"chain",
"score",
")",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"is",
"a",
"central",
"task",
"for",
"every",
"block",
"chain",
"based",
"cry",
"##pt",
"##o",
"currency",
".",
"From",
"time",
"to",
"time",
"a",
"local",
"node",
"will",
"ask",
"a",
"remote",
"node",
"about",
"its",
"chain",
".",
"The",
"remote",
"node",
"is",
"selected",
"using",
"the",
"calculated",
"trust",
"values",
"(",
"see",
"section",
"6",
":",
"A",
"reputation",
"system",
"for",
"nodes",
")",
".",
"If",
"the",
"remote",
"node",
"promises",
"a",
"chain",
"with",
"a",
"higher",
"score",
",",
"the",
"two",
"nodes",
"try",
"to",
"agree",
"on",
"the",
"last",
"common",
"block",
".",
"If",
"successful",
",",
"the",
"remote",
"node",
"will",
"supply",
"up",
"to",
"400",
"blocks",
"of",
"its",
"chain",
"to",
"the",
"local",
"node",
".",
"If",
"the",
"supplied",
"chain",
"is",
"valid",
",",
"the",
"local",
"node",
"will",
"replace",
"its",
"own",
"chain",
"with",
"the",
"remote",
"chain",
".",
"If",
"the",
"supplied",
"chain",
"is",
"invalid",
",",
"the",
"local",
"node",
"will",
"reject",
"the",
"chain",
"and",
"consider",
"the",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"attempt",
"with",
"the",
"remote",
"node",
"to",
"have",
"failed",
".",
"This",
"algorithm",
"will",
"also",
"resolve",
"fork",
"##s",
".",
"The",
"last",
"common",
"block",
"may",
"have",
"a",
"height",
"difference",
"of",
"at",
"most",
"360",
"compared",
"to",
"the",
"local",
"node",
"'",
"s",
"last",
"block",
".",
"Thus",
",",
"the",
"ma",
"##ximal",
"depth",
"of",
"fork",
"##s",
"that",
"can",
"be",
"resolved",
"via",
"the",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"algorithm",
"is",
"360",
".",
"The",
"flow",
"chart",
"on",
"the",
"next",
"page",
"illustrate",
"##s",
"the",
"process",
"in",
"more",
"detail",
".",
"Page",
"19",
"of",
"54",
"Start",
"Select",
"part",
"-",
"ne",
"##r",
"node",
"Partner",
"node",
"available",
"?",
"Fin",
"##ish",
"(",
"neutral",
")",
"Ask",
"for",
"remote",
"chain",
"score",
"Better",
"score",
"?",
"Poll",
"un",
"##con",
"##firmed",
"##tra",
"##ns",
"##actions",
"Fin",
"##ish",
"("
] | NEM White paper | 654 |
addresses. It is possible to send
XEM to any valid address even if the address has not previously participated in any
2first block in the NEM block chain
3http://en.wikipedia.org/wiki/Base32
Page 3 of 54
http://en.wikipedia.org/wiki/Base32
transaction. If nobody owns the private key of the account to which the XEM is sent, the
XEM is most likely lost forever.
2.3 Converting a public key into an address
In order to convert a public key to an address, the following steps are performed:
1. Perform 2 | [
8795,
114,
18149,
1111,
1231,
118,
182,
11860,
1314,
3510,
11336,
21294,
1314,
3510,
9221,
136,
19140,
2944,
113,
4290,
114,
11336,
21294,
1314,
3510,
1472,
1121,
1469,
1314,
3510,
136,
19140,
2944,
113,
8795,
114,
18149,
1111,
1314,
9174,
6456,
3510,
1144,
16090,
11336,
21294,
1144,
16090,
9221,
136,
19140,
2944,
113,
4290,
114,
6869,
1144,
1324,
1276,
1105,
1472,
1121,
1314,
3510,
1144,
1324,
136,
19140,
2944,
113,
8795,
114,
18149,
1111,
1146,
1106,
3434,
5511,
2547,
1170,
1887,
3510,
6869,
3510,
134,
134,
1469,
1314,
3510,
136,
9916,
1171,
4129,
1106,
1887,
3510,
1107,
2962,
117,
1329,
3300,
4034,
19589,
1226,
9221,
136,
19140,
2944,
113,
4290,
114,
1203,
4129,
2794,
1618,
136,
19140,
2944,
113,
4290,
114,
138,
8661,
1193,
1207,
4129,
1226,
19140,
2944,
113,
2244,
114,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
15982,
126,
131,
8093,
4129,
188,
27250,
8167,
11153,
8569,
4235,
3481,
8500,
1406,
1104,
4335,
127,
138,
5244,
1449,
1111,
15029,
107,
10764,
1110,
1380,
1115,
14947,
1103,
1289,
1165,
1128,
2828,
1122,
119,
107,
118,
10684,
2293,
1186,
12107,
21957,
149,
178,
2391,
1168,
5354,
6451,
1186,
10202,
6379,
117,
1103,
26546,
2107,
2443,
1110,
170,
8536,
118,
1106,
118,
8536,
113,
153,
1477,
2101,
114,
2443,
119,
153,
1477,
2101,
6379,
1138,
1103,
1632,
4316,
1104,
1217,
17351,
1272,
1152,
2834,
1129,
3210,
1205,
1118,
16520,
170,
1423,
9127,
119,
8094,
117,
4252,
118,
1679,
16457,
1107,
1103,
1314,
1374,
1201,
1144,
2602,
1115,
153,
1477,
2101,
6379,
1145,
1138,
1147,
2934,
1104,
22611,
1116,
119,
1109,
6635,
1104,
1103,
2443,
1132,
12631,
1105,
2256,
1169,
2866,
119,
1188,
2228,
1122,
1304,
3123,
1106,
1107,
16811,
10518,
15029,
1154,
1103,
2443,
1115,
2819,
22475,
1869,
1137,
2222,
1106,
26886,
1103,
2443,
1107,
1199,
1236,
119,
1247,
1110,
170,
1444,
1106,
6183,
10518,
15029,
1105,
4851,
4909,
1114,
1172,
119,
1247,
1138,
1151,
1242,
8015,
1106,
5515,
1142,
119,
1448,
1104,
1103,
1211,
2265,
1110,
1459,
170,
5244,
1449,
1111,
15029,
119,
26546,
2107,
3226,
1142,
3136,
1118,
16381,
1126,
9932,
1861,
1106,
1103,
142,
13417,
1179,
1942,
19604,
116,
116,
5244,
1449,
119,
1188,
2237,
1209,
13905,
1103,
9932,
1215,
119,
1370,
170,
1167,
6448,
6145,
117,
1267,
1103,
1560,
4580,
1164,
142,
13417,
1179,
1942,
19604,
164,
129,
166,
1105,
142,
13417,
1179,
1942,
19604,
116,
116,
164,
126,
166,
119,
127,
119,
122,
1302,
2007,
10393,
1302,
4704,
1107,
1103,
26546,
2107,
2443,
12254,
1114,
1296,
1168,
1118,
6303,
1869,
1164,
11659,
1176,
14409,
1105,
5511,
1104,
14409,
119,
138,
14372,
1169,
1719,
3012,
1207,
11659,
1106,
1168,
15029,
1137,
2367,
1168,
15029,
1111,
1343,
11659,
119,
5823,
1460,
1869,
1121,
170,
6456,
14372,
117,
170,
14372,
1169,
23073,
1103,
17782,
1104,
1103,
1869,
1105,
4031,
1191,
1103,
1869,
1110,
27343,
119,
2994,
14372,
1169,
4958,
1191,
1126,
8234,
113,
1137,
112,
1840,
112,
114,
1431,
1129,
1562,
1112,
170,
2244,
113,
1207,
9221,
1869,
1108,
1460,
114,
117,
8795,
113,
9221,
117,
1133,
1640
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"neutral",
")",
"Ask",
"for",
"re",
"-",
"m",
"##ote",
"last",
"block",
"Re",
"##mote",
"last",
"block",
"valid",
"?",
"Fin",
"##ish",
"(",
"failure",
")",
"Re",
"##mote",
"last",
"block",
"different",
"from",
"local",
"last",
"block",
"?",
"Fin",
"##ish",
"(",
"neutral",
")",
"Ask",
"for",
"last",
"360",
"remote",
"block",
"has",
"##hes",
"Re",
"##mote",
"has",
"##hes",
"valid",
"?",
"Fin",
"##ish",
"(",
"failure",
")",
"Common",
"has",
"##h",
"found",
"and",
"different",
"from",
"last",
"block",
"has",
"##h",
"?",
"Fin",
"##ish",
"(",
"neutral",
")",
"Ask",
"for",
"up",
"to",
"400",
"blocks",
"starting",
"after",
"common",
"block",
"Common",
"block",
"=",
"=",
"local",
"last",
"block",
"?",
"Roll",
"back",
"chain",
"to",
"common",
"block",
"in",
"memory",
",",
"use",
"account",
"copies",
"Chain",
"part",
"valid",
"?",
"Fin",
"##ish",
"(",
"failure",
")",
"New",
"chain",
"score",
"better",
"?",
"Fin",
"##ish",
"(",
"failure",
")",
"A",
"##pp",
"##ly",
"new",
"chain",
"part",
"Fin",
"##ish",
"(",
"success",
")",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"Figure",
"5",
":",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"flow",
"chart",
"Page",
"20",
"of",
"54",
"6",
"A",
"reputation",
"system",
"for",
"nodes",
"\"",
"Beauty",
"is",
"something",
"that",
"burns",
"the",
"hand",
"when",
"you",
"touch",
"it",
".",
"\"",
"-",
"Yu",
"##ki",
"##o",
"Mi",
"##shima",
"L",
"i",
"##ke",
"other",
"cry",
"##pt",
"##o",
"currency",
"networks",
",",
"the",
"NE",
"##M",
"network",
"is",
"a",
"peer",
"-",
"to",
"-",
"peer",
"(",
"P",
"##2",
"##P",
")",
"network",
".",
"P",
"##2",
"##P",
"networks",
"have",
"the",
"great",
"advantage",
"of",
"being",
"robust",
"because",
"they",
"cannot",
"be",
"shut",
"down",
"by",
"eliminating",
"a",
"single",
"entity",
".",
"Nevertheless",
",",
"ex",
"-",
"per",
"##ience",
"in",
"the",
"last",
"few",
"years",
"has",
"shown",
"that",
"P",
"##2",
"##P",
"networks",
"also",
"have",
"their",
"share",
"of",
"disadvantage",
"##s",
".",
"The",
"participants",
"of",
"the",
"network",
"are",
"anonymous",
"and",
"anyone",
"can",
"join",
".",
"This",
"makes",
"it",
"very",
"easy",
"to",
"in",
"##ject",
"hostile",
"nodes",
"into",
"the",
"network",
"that",
"spread",
"invalid",
"information",
"or",
"try",
"to",
"disturb",
"the",
"network",
"in",
"some",
"way",
".",
"There",
"is",
"a",
"need",
"to",
"identify",
"hostile",
"nodes",
"and",
"reduce",
"communication",
"with",
"them",
".",
"There",
"have",
"been",
"many",
"approaches",
"to",
"achieve",
"this",
".",
"One",
"of",
"the",
"most",
"successful",
"is",
"building",
"a",
"reputation",
"system",
"for",
"nodes",
".",
"NE",
"##M",
"follows",
"this",
"approach",
"by",
"implementing",
"an",
"algorithm",
"similar",
"to",
"the",
"E",
"##ige",
"##n",
"##T",
"##rust",
"+",
"+",
"reputation",
"system",
".",
"This",
"section",
"will",
"outline",
"the",
"algorithm",
"used",
".",
"For",
"a",
"more",
"detailed",
"discussion",
",",
"see",
"the",
"original",
"papers",
"about",
"E",
"##ige",
"##n",
"##T",
"##rust",
"[",
"8",
"]",
"and",
"E",
"##ige",
"##n",
"##T",
"##rust",
"+",
"+",
"[",
"5",
"]",
".",
"6",
".",
"1",
"No",
"##de",
"interactions",
"No",
"##des",
"in",
"the",
"NE",
"##M",
"network",
"interact",
"with",
"each",
"other",
"by",
"sharing",
"information",
"about",
"entities",
"like",
"transactions",
"and",
"blocks",
"of",
"transactions",
".",
"A",
"node",
"can",
"either",
"broadcast",
"new",
"entities",
"to",
"other",
"nodes",
"or",
"ask",
"other",
"nodes",
"for",
"those",
"entities",
".",
"Having",
"received",
"information",
"from",
"a",
"remote",
"node",
",",
"a",
"node",
"can",
"verify",
"the",
"validity",
"of",
"the",
"information",
"and",
"check",
"if",
"the",
"information",
"is",
"usable",
".",
"Each",
"node",
"can",
"decide",
"if",
"an",
"interaction",
"(",
"or",
"'",
"call",
"'",
")",
"should",
"be",
"seen",
"as",
"a",
"success",
"(",
"new",
"valid",
"information",
"was",
"received",
")",
",",
"neutral",
"(",
"valid",
",",
"but",
"already"
] | NEM White paper | 655 |
addresses. It is possible to send
XEM to any valid address even if the address has not previously participated in any
2first block in the NEM block chain
3http://en.wikipedia.org/wiki/Base32
Page 3 of 54
http://en.wikipedia.org/wiki/Base32
transaction. If nobody owns the private key of the account to which the XEM is sent, the
XEM is most likely lost forever.
2.3 Converting a public key into an address
In order to convert a public key to an address, the following steps are performed:
1. Perform 2 | [
8795,
114,
18149,
1111,
1231,
118,
182,
11860,
1314,
3510,
11336,
21294,
1314,
3510,
9221,
136,
19140,
2944,
113,
4290,
114,
11336,
21294,
1314,
3510,
1472,
1121,
1469,
1314,
3510,
136,
19140,
2944,
113,
8795,
114,
18149,
1111,
1314,
9174,
6456,
3510,
1144,
16090,
11336,
21294,
1144,
16090,
9221,
136,
19140,
2944,
113,
4290,
114,
6869,
1144,
1324,
1276,
1105,
1472,
1121,
1314,
3510,
1144,
1324,
136,
19140,
2944,
113,
8795,
114,
18149,
1111,
1146,
1106,
3434,
5511,
2547,
1170,
1887,
3510,
6869,
3510,
134,
134,
1469,
1314,
3510,
136,
9916,
1171,
4129,
1106,
1887,
3510,
1107,
2962,
117,
1329,
3300,
4034,
19589,
1226,
9221,
136,
19140,
2944,
113,
4290,
114,
1203,
4129,
2794,
1618,
136,
19140,
2944,
113,
4290,
114,
138,
8661,
1193,
1207,
4129,
1226,
19140,
2944,
113,
2244,
114,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
1185,
4208,
15982,
126,
131,
8093,
4129,
188,
27250,
8167,
11153,
8569,
4235,
3481,
8500,
1406,
1104,
4335,
127,
138,
5244,
1449,
1111,
15029,
107,
10764,
1110,
1380,
1115,
14947,
1103,
1289,
1165,
1128,
2828,
1122,
119,
107,
118,
10684,
2293,
1186,
12107,
21957,
149,
178,
2391,
1168,
5354,
6451,
1186,
10202,
6379,
117,
1103,
26546,
2107,
2443,
1110,
170,
8536,
118,
1106,
118,
8536,
113,
153,
1477,
2101,
114,
2443,
119,
153,
1477,
2101,
6379,
1138,
1103,
1632,
4316,
1104,
1217,
17351,
1272,
1152,
2834,
1129,
3210,
1205,
1118,
16520,
170,
1423,
9127,
119,
8094,
117,
4252,
118,
1679,
16457,
1107,
1103,
1314,
1374,
1201,
1144,
2602,
1115,
153,
1477,
2101,
6379,
1145,
1138,
1147,
2934,
1104,
22611,
1116,
119,
1109,
6635,
1104,
1103,
2443,
1132,
12631,
1105,
2256,
1169,
2866,
119,
1188,
2228,
1122,
1304,
3123,
1106,
1107,
16811,
10518,
15029,
1154,
1103,
2443,
1115,
2819,
22475,
1869,
1137,
2222,
1106,
26886,
1103,
2443,
1107,
1199,
1236,
119,
1247,
1110,
170,
1444,
1106,
6183,
10518,
15029,
1105,
4851,
4909,
1114,
1172,
119,
1247,
1138,
1151,
1242,
8015,
1106,
5515,
1142,
119,
1448,
1104,
1103,
1211,
2265,
1110,
1459,
170,
5244,
1449,
1111,
15029,
119,
26546,
2107,
3226,
1142,
3136,
1118,
16381,
1126,
9932,
1861,
1106,
1103,
142,
13417,
1179,
1942,
19604,
116,
116,
5244,
1449,
119,
1188,
2237,
1209,
13905,
1103,
9932,
1215,
119,
1370,
170,
1167,
6448,
6145,
117,
1267,
1103,
1560,
4580,
1164,
142,
13417,
1179,
1942,
19604,
164,
129,
166,
1105,
142,
13417,
1179,
1942,
19604,
116,
116,
164,
126,
166,
119,
127,
119,
122,
1302,
2007,
10393,
1302,
4704,
1107,
1103,
26546,
2107,
2443,
12254,
1114,
1296,
1168,
1118,
6303,
1869,
1164,
11659,
1176,
14409,
1105,
5511,
1104,
14409,
119,
138,
14372,
1169,
1719,
3012,
1207,
11659,
1106,
1168,
15029,
1137,
2367,
1168,
15029,
1111,
1343,
11659,
119,
5823,
1460,
1869,
1121,
170,
6456,
14372,
117,
170,
14372,
1169,
23073,
1103,
17782,
1104,
1103,
1869,
1105,
4031,
1191,
1103,
1869,
1110,
27343,
119,
2994,
14372,
1169,
4958,
1191,
1126,
8234,
113,
1137,
112,
1840,
112,
114,
1431,
1129,
1562,
1112,
170,
2244,
113,
1207,
9221,
1869,
1108,
1460,
114,
117,
8795,
113,
9221,
117,
1133,
1640
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"neutral",
")",
"Ask",
"for",
"re",
"-",
"m",
"##ote",
"last",
"block",
"Re",
"##mote",
"last",
"block",
"valid",
"?",
"Fin",
"##ish",
"(",
"failure",
")",
"Re",
"##mote",
"last",
"block",
"different",
"from",
"local",
"last",
"block",
"?",
"Fin",
"##ish",
"(",
"neutral",
")",
"Ask",
"for",
"last",
"360",
"remote",
"block",
"has",
"##hes",
"Re",
"##mote",
"has",
"##hes",
"valid",
"?",
"Fin",
"##ish",
"(",
"failure",
")",
"Common",
"has",
"##h",
"found",
"and",
"different",
"from",
"last",
"block",
"has",
"##h",
"?",
"Fin",
"##ish",
"(",
"neutral",
")",
"Ask",
"for",
"up",
"to",
"400",
"blocks",
"starting",
"after",
"common",
"block",
"Common",
"block",
"=",
"=",
"local",
"last",
"block",
"?",
"Roll",
"back",
"chain",
"to",
"common",
"block",
"in",
"memory",
",",
"use",
"account",
"copies",
"Chain",
"part",
"valid",
"?",
"Fin",
"##ish",
"(",
"failure",
")",
"New",
"chain",
"score",
"better",
"?",
"Fin",
"##ish",
"(",
"failure",
")",
"A",
"##pp",
"##ly",
"new",
"chain",
"part",
"Fin",
"##ish",
"(",
"success",
")",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"no",
"yes",
"Figure",
"5",
":",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"flow",
"chart",
"Page",
"20",
"of",
"54",
"6",
"A",
"reputation",
"system",
"for",
"nodes",
"\"",
"Beauty",
"is",
"something",
"that",
"burns",
"the",
"hand",
"when",
"you",
"touch",
"it",
".",
"\"",
"-",
"Yu",
"##ki",
"##o",
"Mi",
"##shima",
"L",
"i",
"##ke",
"other",
"cry",
"##pt",
"##o",
"currency",
"networks",
",",
"the",
"NE",
"##M",
"network",
"is",
"a",
"peer",
"-",
"to",
"-",
"peer",
"(",
"P",
"##2",
"##P",
")",
"network",
".",
"P",
"##2",
"##P",
"networks",
"have",
"the",
"great",
"advantage",
"of",
"being",
"robust",
"because",
"they",
"cannot",
"be",
"shut",
"down",
"by",
"eliminating",
"a",
"single",
"entity",
".",
"Nevertheless",
",",
"ex",
"-",
"per",
"##ience",
"in",
"the",
"last",
"few",
"years",
"has",
"shown",
"that",
"P",
"##2",
"##P",
"networks",
"also",
"have",
"their",
"share",
"of",
"disadvantage",
"##s",
".",
"The",
"participants",
"of",
"the",
"network",
"are",
"anonymous",
"and",
"anyone",
"can",
"join",
".",
"This",
"makes",
"it",
"very",
"easy",
"to",
"in",
"##ject",
"hostile",
"nodes",
"into",
"the",
"network",
"that",
"spread",
"invalid",
"information",
"or",
"try",
"to",
"disturb",
"the",
"network",
"in",
"some",
"way",
".",
"There",
"is",
"a",
"need",
"to",
"identify",
"hostile",
"nodes",
"and",
"reduce",
"communication",
"with",
"them",
".",
"There",
"have",
"been",
"many",
"approaches",
"to",
"achieve",
"this",
".",
"One",
"of",
"the",
"most",
"successful",
"is",
"building",
"a",
"reputation",
"system",
"for",
"nodes",
".",
"NE",
"##M",
"follows",
"this",
"approach",
"by",
"implementing",
"an",
"algorithm",
"similar",
"to",
"the",
"E",
"##ige",
"##n",
"##T",
"##rust",
"+",
"+",
"reputation",
"system",
".",
"This",
"section",
"will",
"outline",
"the",
"algorithm",
"used",
".",
"For",
"a",
"more",
"detailed",
"discussion",
",",
"see",
"the",
"original",
"papers",
"about",
"E",
"##ige",
"##n",
"##T",
"##rust",
"[",
"8",
"]",
"and",
"E",
"##ige",
"##n",
"##T",
"##rust",
"+",
"+",
"[",
"5",
"]",
".",
"6",
".",
"1",
"No",
"##de",
"interactions",
"No",
"##des",
"in",
"the",
"NE",
"##M",
"network",
"interact",
"with",
"each",
"other",
"by",
"sharing",
"information",
"about",
"entities",
"like",
"transactions",
"and",
"blocks",
"of",
"transactions",
".",
"A",
"node",
"can",
"either",
"broadcast",
"new",
"entities",
"to",
"other",
"nodes",
"or",
"ask",
"other",
"nodes",
"for",
"those",
"entities",
".",
"Having",
"received",
"information",
"from",
"a",
"remote",
"node",
",",
"a",
"node",
"can",
"verify",
"the",
"validity",
"of",
"the",
"information",
"and",
"check",
"if",
"the",
"information",
"is",
"usable",
".",
"Each",
"node",
"can",
"decide",
"if",
"an",
"interaction",
"(",
"or",
"'",
"call",
"'",
")",
"should",
"be",
"seen",
"as",
"a",
"success",
"(",
"new",
"valid",
"information",
"was",
"received",
")",
",",
"neutral",
"(",
"valid",
",",
"but",
"already"
] | NEM White paper | 656 |
56-bit Sha3 on the public key
2. Perform 160-bit Ripemd of hash resulting from step 1.
3. Prepend version byte to Ripemd hash (either 0x68 or 0x98)
4. Perform 256-bit Sha3 on the result, take the first four bytes as a checksum
5. Concatenate output of step 3 and the checksum from step 4
6. Encode result using base32
Example:
1. public key
X: deb73ed7d0334e983701feba4599a37fb62e862e45368525b8d9fb9ab80aa57e
Y: 169318abc3e5b002059a396d4cf1c3d35ba022c675b15fb1c4943f7662eef268
Z: a90573bd221a3ae33fec5d4 | [
1227,
117,
1869,
1108,
1460,
114,
1137,
4290,
113,
22475,
1869,
1108,
1460,
114,
119,
2994,
14372,
178,
7634,
1854,
1104,
1103,
13950,
1104,
1155,
1104,
1157,
10393,
1114,
14372,
179,
1107,
1157,
4252,
3186,
118,
187,
16457,
4520,
1118,
11128,
1157,
2265,
1105,
2604,
10393,
132,
2244,
113,
178,
117,
179,
114,
1105,
2604,
113,
178,
117,
179,
114,
119,
151,
14272,
16010,
10393,
1132,
5794,
119,
127,
119,
123,
5328,
3496,
2860,
2994,
14372,
3816,
1114,
170,
1383,
153,
1104,
1177,
1270,
3073,
118,
9373,
15029,
1115,
1132,
7694,
1107,
170,
9566,
4956,
1105,
1169,
1129,
5045,
1118,
1103,
4795,
1106,
1117,
120,
1123,
1319,
2993,
119,
1109,
14372,
1173,
4390,
8500,
1626,
1104,
4335,
1103,
3073,
118,
9373,
15029,
1111,
1168,
3685,
15029,
1107,
1103,
2443,
119,
14881,
1164,
183,
15029,
1107,
1103,
2443,
1296,
14372,
1169,
3076,
1126,
3288,
3496,
9479,
199,
185,
1118,
3545,
131,
185,
3361,
134,
122,
197,
153,
197,
1191,
14372,
3361,
850,
153,
121,
4303,
185,
3361,
6653,
1293,
1277,
3496,
170,
14372,
2786,
1144,
1107,
14372,
179,
119,
1258,
1199,
1159,
14372,
178,
1125,
1199,
10393,
1114,
1168,
15029,
1105,
1169,
11984,
1157,
1469,
3496,
4718,
1118,
1148,
23172,
131,
27466,
3361,
134,
2244,
113,
178,
117,
179,
114,
2244,
113,
178,
117,
179,
114,
116,
2604,
113,
178,
117,
179,
114,
1191,
2244,
113,
178,
117,
179,
114,
116,
2604,
113,
178,
117,
179,
114,
135,
121,
185,
3361,
4303,
1105,
1173,
2999,
4404,
1103,
1469,
3496,
4718,
131,
172,
1182,
3361,
134,
100,
182,
27466,
1306,
1106,
9410,
1103,
1469,
3496,
9479,
199,
172,
1182,
1114,
5644,
172,
1182,
3361,
119,
127,
119,
124,
138,
9705,
1874,
18401,
1469,
3496,
4718,
1622,
1159,
1106,
1159,
15029,
3012,
1147,
1469,
3496,
4718,
1106,
1168,
15029,
119,
5823,
1460,
1103,
1469,
3496,
4718,
1121,
1168,
15029,
117,
14372,
178,
1169,
20446,
1126,
9453,
3496,
2860,
1111,
14372,
180,
1118,
16584,
1103,
1469,
3496,
14372,
179,
1144,
1107,
14372,
180,
1114,
1157,
1319,
3496,
1107,
14372,
179,
131,
189,
4847,
134,
100,
179,
172,
1182,
3361,
1665,
17187,
1188,
1169,
1129,
1637,
1107,
8952,
16049,
1118,
13682,
140,
134,
113,
172,
1377,
3361,
114,
1105,
199,
189,
1182,
1515,
5644,
189,
4847,
131,
199,
189,
1182,
134,
16899,
199,
172,
1182,
1409,
1195,
9410,
1103,
1122,
17166,
131,
199,
189,
1182,
116,
122,
134,
16899,
199,
189,
1182,
1173,
1142,
1209,
14255,
4121,
2176,
1106,
1103,
1286,
3981,
174,
13417,
1179,
2707,
9363,
199,
189,
1104,
1103,
8952,
140,
1223,
1103,
19129,
1115,
140,
1110,
178,
16145,
21977,
5225,
1105,
170,
3365,
2660,
13328,
119,
1706,
11865,
1103,
19129,
1217,
9221,
117,
1195,
2776,
1849,
1103,
1122,
17166,
1118,
7021,
170,
3849,
1104,
1103,
3288,
3496,
9479,
199,
185,
1154,
1103,
1122,
17166,
131,
199,
189,
1182,
134,
199,
185,
1191,
178,
134,
121,
113,
122,
25532,
170,
114,
16899,
199,
189,
1182,
25532,
1475,
116,
170,
199,
185,
4303,
113,
130,
114,
1187,
170,
6736,
121,
133,
170,
133,
122,
1110,
3468,
119,
1188,
1122,
17166,
1209,
1579,
14255,
4121
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"known",
",",
"information",
"was",
"received",
")",
"or",
"failure",
"(",
"invalid",
"information",
"was",
"received",
")",
".",
"Each",
"node",
"i",
"keeps",
"track",
"of",
"the",
"outcomes",
"of",
"all",
"of",
"its",
"interactions",
"with",
"node",
"j",
"in",
"its",
"ex",
"##pe",
"-",
"r",
"##ience",
"map",
"by",
"counting",
"its",
"successful",
"and",
"failed",
"interactions",
";",
"success",
"(",
"i",
",",
"j",
")",
"and",
"failed",
"(",
"i",
",",
"j",
")",
".",
"N",
"##eu",
"##tral",
"interactions",
"are",
"ignored",
".",
"6",
".",
"2",
"Local",
"trust",
"value",
"Each",
"node",
"starts",
"with",
"a",
"set",
"P",
"of",
"so",
"called",
"pre",
"-",
"trusted",
"nodes",
"that",
"are",
"supplied",
"in",
"a",
"configuration",
"file",
"and",
"can",
"be",
"edited",
"by",
"the",
"user",
"to",
"his",
"/",
"her",
"own",
"needs",
".",
"The",
"node",
"then",
"asks",
"Page",
"21",
"of",
"54",
"the",
"pre",
"-",
"trusted",
"nodes",
"for",
"other",
"existing",
"nodes",
"in",
"the",
"network",
".",
"Knowing",
"about",
"n",
"nodes",
"in",
"the",
"network",
"each",
"node",
"can",
"build",
"an",
"initial",
"trust",
"vector",
"~",
"p",
"by",
"setting",
":",
"p",
"##j",
"=",
"1",
"|",
"P",
"|",
"if",
"node",
"##j",
"β",
"P",
"0",
"otherwise",
"p",
"##j",
"indicates",
"how",
"much",
"trust",
"a",
"node",
"initially",
"has",
"in",
"node",
"j",
".",
"After",
"some",
"time",
"node",
"i",
"had",
"some",
"interactions",
"with",
"other",
"nodes",
"and",
"can",
"update",
"its",
"local",
"trust",
"values",
"by",
"first",
"calculating",
":",
"si",
"##j",
"=",
"success",
"(",
"i",
",",
"j",
")",
"success",
"(",
"i",
",",
"j",
")",
"+",
"failed",
"(",
"i",
",",
"j",
")",
"if",
"success",
"(",
"i",
",",
"j",
")",
"+",
"failed",
"(",
"i",
",",
"j",
")",
">",
"0",
"p",
"##j",
"otherwise",
"and",
"then",
"normal",
"##izing",
"the",
"local",
"trust",
"values",
":",
"c",
"##i",
"##j",
"=",
"[UNK]",
"m",
"si",
"##m",
"to",
"define",
"the",
"local",
"trust",
"vector",
"~",
"c",
"##i",
"with",
"components",
"c",
"##i",
"##j",
".",
"6",
".",
"3",
"A",
"##gg",
"##re",
"##gating",
"local",
"trust",
"values",
"From",
"time",
"to",
"time",
"nodes",
"broadcast",
"their",
"local",
"trust",
"values",
"to",
"other",
"nodes",
".",
"Having",
"received",
"the",
"local",
"trust",
"values",
"from",
"other",
"nodes",
",",
"node",
"i",
"can",
"calculate",
"an",
"aggregate",
"trust",
"value",
"for",
"node",
"k",
"by",
"weighing",
"the",
"local",
"trust",
"node",
"j",
"has",
"in",
"node",
"k",
"with",
"its",
"own",
"trust",
"in",
"node",
"j",
":",
"t",
"##ik",
"=",
"[UNK]",
"j",
"c",
"##i",
"##j",
"##c",
"##jk",
"This",
"can",
"be",
"written",
"in",
"matrix",
"notation",
"by",
"defining",
"C",
"=",
"(",
"c",
"##k",
"##j",
")",
"and",
"~",
"t",
"##i",
"having",
"components",
"t",
"##ik",
":",
"~",
"t",
"##i",
"=",
"CT",
"~",
"c",
"##i",
"If",
"we",
"define",
"the",
"it",
"##eration",
":",
"~",
"t",
"##i",
"+",
"1",
"=",
"CT",
"~",
"t",
"##i",
"then",
"this",
"will",
"con",
"##ver",
"##ge",
"to",
"the",
"left",
"principal",
"e",
"##ige",
"##n",
"##ve",
"##ctor",
"~",
"t",
"of",
"the",
"matrix",
"C",
"under",
"the",
"assumptions",
"that",
"C",
"is",
"i",
"##rred",
"##uc",
"##ible",
"and",
"a",
"##per",
"##io",
"##dic",
".",
"To",
"guarantee",
"the",
"assumptions",
"being",
"valid",
",",
"we",
"slightly",
"change",
"the",
"it",
"##eration",
"by",
"mixing",
"a",
"portion",
"of",
"the",
"initial",
"trust",
"vector",
"~",
"p",
"into",
"the",
"it",
"##eration",
":",
"~",
"t",
"##i",
"=",
"~",
"p",
"if",
"i",
"=",
"0",
"(",
"1",
"##β",
"a",
")",
"CT",
"~",
"t",
"##i",
"##β",
"##1",
"+",
"a",
"~",
"p",
"otherwise",
"(",
"9",
")",
"where",
"a",
"suitable",
"0",
"<",
"a",
"<",
"1",
"is",
"chosen",
".",
"This",
"it",
"##eration",
"will",
"always",
"con",
"##ver"
] | NEM White paper | 657 |
efc4fa137897a40347eeafe87bee5d67ae5b4f725
2. compressed public key:
c5247738c3a510fb6c11413331d8a47764f6e78ffcdb02b6878d5dd3b77f38ed
3. sha3-256:
70c9dcf696b2ad92dbb9b52ceb33ec0eda5bfdb7052df4914c0919caddb9dfcf
4. ripemd: 1f142c5ea4853063ed6dc3c13aaa8257cd7daf11
5. prepend version: 681f142c5ea4853063ed6dc3c13aaa8257cd7daf11
6. sha3-256 of above:
09132a5ea90ab7fa077847a699b4199691b4130f66876254eadd70ae459dbb53
7. 4-byte checksum: 09132a5e (first 4 bytes of the above)
8. binary address: 681f142c5ea48 | [
2176,
1106,
170,
9479,
199,
189,
117,
1134,
5149,
1103,
3496,
170,
14372,
1144,
1107,
1168,
15029,
119,
8500,
1659,
1104,
4335,
127,
119,
125,
13832,
3822,
4869,
1103,
9932,
1109,
1807,
9932,
1106,
3254,
22662,
3496,
18907,
1121,
1103,
1864,
1115,
1103,
1396,
19366,
1785,
1104,
1103,
13032,
2103,
1121,
1168,
15029,
1110,
3655,
119,
17168,
9589,
15029,
1180,
1884,
2339,
10308,
1105,
2592,
1822,
3496,
4718,
1111,
7345,
15029,
1105,
1344,
3496,
4718,
1111,
10478,
18764,
1204,
15029,
119,
1760,
8331,
1110,
1106,
10301,
1103,
24315,
1104,
1103,
13032,
1104,
1168,
15029,
1105,
2841,
1103,
2103,
3496,
4718,
1118,
1103,
24315,
2794,
119,
1706,
1202,
1115,
117,
1887,
113,
190,
117,
191,
114,
1110,
3393,
1111,
1160,
15029,
190,
1105,
191,
1112,
1103,
1383,
1104,
15029,
1114,
1134,
1241,
15029,
1138,
12254,
1174,
119,
10470,
1115,
117,
170,
4929,
1111,
1103,
15213,
1104,
1103,
13032,
1104,
1103,
1160,
15029,
113,
27466,
1306,
113,
190,
117,
191,
114,
114,
1169,
1129,
10056,
131,
27466,
1306,
113,
190,
117,
191,
114,
134,
113,
122,
25532,
100,
192,
28745,
8178,
7130,
113,
190,
117,
191,
114,
113,
28117,
2246,
25532,
1116,
1964,
2246,
114,
123,
197,
1887,
113,
190,
117,
191,
114,
197,
114,
171,
1191,
1887,
113,
190,
117,
191,
114,
127,
134,
100,
121,
4303,
1187,
171,
1110,
170,
3112,
18157,
113,
1103,
1560,
2526,
5401,
171,
134,
122,
114,
119,
1599,
117,
13032,
24315,
1169,
1129,
3393,
1112,
131,
20497,
3361,
134,
27466,
1306,
113,
178,
117,
179,
114,
100,
182,
27466,
1306,
113,
178,
117,
182,
114,
1191,
100,
182,
27466,
1306,
113,
178,
117,
182,
114,
135,
121,
121,
4303,
1105,
117,
1921,
117,
1103,
8952,
149,
134,
113,
181,
1182,
3361,
114,
1169,
1129,
3393,
1112,
131,
181,
1182,
3361,
134,
100,
182,
20497,
1306,
6617,
1306,
1191,
100,
182,
20497,
1306,
6617,
1306,
135,
121,
121,
4303,
1134,
12560,
1241,
1103,
2103,
3496,
4718,
1105,
1103,
13032,
24315,
119,
1135,
1110,
1208,
21546,
1106,
9410,
1126,
1122,
17166,
13022,
1106,
142,
13284,
2116,
130,
131,
199,
189,
1182,
134,
199,
185,
1191,
178,
134,
121,
113,
122,
25532,
170,
114,
149,
1942,
199,
189,
1182,
25532,
1475,
116,
170,
199,
185,
4303,
1134,
14255,
4121,
7562,
1106,
1103,
1286,
3981,
174,
13417,
1179,
2707,
9363,
1104,
1103,
10311,
8952,
1104,
1103,
1540,
1122,
17166,
119,
1109,
1560,
142,
13417,
2227,
19604,
116,
116,
2526,
5401,
1606,
2509,
5252,
1106,
5310,
3496,
25934,
1206,
7345,
1105,
10478,
18764,
1204,
15029,
119,
1109,
2526,
1108,
1637,
1114,
4956,
6303,
6379,
1107,
1713,
119,
1130,
1216,
6379,
117,
13975,
2233,
1110,
3416,
113,
2192,
1104,
7004,
114,
1105,
2834,
1129,
6488,
1111,
17782,
119,
6589,
117,
1256,
7345,
15029,
1180,
17114,
12477,
8031,
4179,
2233,
119,
1302,
4704,
1107,
1103,
26546,
2107,
2443,
1579,
9133,
11659,
1107,
1147,
16635,
1105,
23073,
1147,
12363,
1196,
23099,
1172,
1106,
1168,
15029,
119,
26546,
2107,
2443,
14314,
1116,
1138,
2602,
1115,
1103,
2686,
1443,
1103,
2509,
3496,
25934,
5252,
1132,
1363,
1536,
1106,
26410,
25342,
1103,
2915,
1104,
12477,
8031
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##ge",
"to",
"a",
"vector",
"~",
"t",
",",
"which",
"represents",
"the",
"trust",
"a",
"node",
"has",
"in",
"other",
"nodes",
".",
"Page",
"22",
"of",
"54",
"6",
".",
"4",
"En",
"##han",
"##cing",
"the",
"algorithm",
"The",
"above",
"algorithm",
"to",
"com",
"##pute",
"trust",
"suffers",
"from",
"the",
"fact",
"that",
"the",
"ve",
"##rac",
"##ity",
"of",
"the",
"feedback",
"reported",
"from",
"other",
"nodes",
"is",
"unknown",
".",
"Mali",
"##cious",
"nodes",
"could",
"co",
"##ll",
"##ude",
"and",
"report",
"low",
"trust",
"values",
"for",
"honest",
"nodes",
"and",
"high",
"trust",
"values",
"for",
"dish",
"##ones",
"##t",
"nodes",
".",
"An",
"improvement",
"is",
"to",
"estimate",
"the",
"credibility",
"of",
"the",
"feedback",
"of",
"other",
"nodes",
"and",
"weight",
"the",
"reported",
"trust",
"values",
"by",
"the",
"credibility",
"score",
".",
"To",
"do",
"that",
",",
"common",
"(",
"u",
",",
"v",
")",
"is",
"defined",
"for",
"two",
"nodes",
"u",
"and",
"v",
"as",
"the",
"set",
"of",
"nodes",
"with",
"which",
"both",
"nodes",
"have",
"interact",
"##ed",
".",
"Given",
"that",
",",
"a",
"measure",
"for",
"the",
"similarity",
"of",
"the",
"feedback",
"of",
"the",
"two",
"nodes",
"(",
"si",
"##m",
"(",
"u",
",",
"v",
")",
")",
"can",
"be",
"calculated",
":",
"si",
"##m",
"(",
"u",
",",
"v",
")",
"=",
"(",
"1",
"##β",
"[UNK]",
"w",
"##β",
"##com",
"##mon",
"(",
"u",
",",
"v",
")",
"(",
"su",
"##w",
"##β",
"##s",
"##v",
"##w",
")",
"2",
"|",
"common",
"(",
"u",
",",
"v",
")",
"|",
")",
"b",
"if",
"common",
"(",
"u",
",",
"v",
")",
"6",
"=",
"[UNK]",
"0",
"otherwise",
"where",
"b",
"is",
"a",
"positive",
"integer",
"(",
"the",
"original",
"paper",
"suggests",
"b",
"=",
"1",
")",
".",
"Then",
",",
"feedback",
"credibility",
"can",
"be",
"defined",
"as",
":",
"fi",
"##j",
"=",
"si",
"##m",
"(",
"i",
",",
"j",
")",
"[UNK]",
"m",
"si",
"##m",
"(",
"i",
",",
"m",
")",
"if",
"[UNK]",
"m",
"si",
"##m",
"(",
"i",
",",
"m",
")",
">",
"0",
"0",
"otherwise",
"and",
",",
"finally",
",",
"the",
"matrix",
"L",
"=",
"(",
"l",
"##i",
"##j",
")",
"can",
"be",
"defined",
"as",
":",
"l",
"##i",
"##j",
"=",
"[UNK]",
"m",
"fi",
"##m",
"##ci",
"##m",
"if",
"[UNK]",
"m",
"fi",
"##m",
"##ci",
"##m",
">",
"0",
"0",
"otherwise",
"which",
"incorporates",
"both",
"the",
"reported",
"trust",
"values",
"and",
"the",
"feedback",
"credibility",
".",
"It",
"is",
"now",
"straightforward",
"to",
"define",
"an",
"it",
"##eration",
"analog",
"to",
"E",
"##qua",
"##tion",
"9",
":",
"~",
"t",
"##i",
"=",
"~",
"p",
"if",
"i",
"=",
"0",
"(",
"1",
"##β",
"a",
")",
"L",
"##T",
"~",
"t",
"##i",
"##β",
"##1",
"+",
"a",
"~",
"p",
"otherwise",
"which",
"con",
"##ver",
"##ges",
"to",
"the",
"left",
"principal",
"e",
"##ige",
"##n",
"##ve",
"##ctor",
"of",
"the",
"underlying",
"matrix",
"of",
"the",
"power",
"it",
"##eration",
".",
"The",
"original",
"E",
"##ige",
"##nt",
"##rust",
"+",
"+",
"paper",
"suggests",
"using",
"additional",
"measures",
"to",
"limit",
"trust",
"propagation",
"between",
"honest",
"and",
"dish",
"##ones",
"##t",
"nodes",
".",
"The",
"paper",
"was",
"written",
"with",
"file",
"sharing",
"networks",
"in",
"mind",
".",
"In",
"such",
"networks",
",",
"incomplete",
"data",
"is",
"shared",
"(",
"parts",
"of",
"files",
")",
"and",
"cannot",
"be",
"checked",
"for",
"validity",
".",
"Therefore",
",",
"even",
"honest",
"nodes",
"could",
"distribute",
"ma",
"##lic",
"##ious",
"data",
".",
"No",
"##des",
"in",
"the",
"NE",
"##M",
"network",
"always",
"download",
"entities",
"in",
"their",
"entirety",
"and",
"verify",
"their",
"integrity",
"before",
"distributing",
"them",
"to",
"other",
"nodes",
".",
"NE",
"##M",
"network",
"simulation",
"##s",
"have",
"shown",
"that",
"the",
"results",
"without",
"the",
"additional",
"trust",
"propagation",
"measures",
"are",
"good",
"enough",
"to",
"mit",
"##igate",
"the",
"presence",
"of",
"ma",
"##lic"
] | NEM White paper | 658 |
53063ed6dc3c13aaa8257cd7daf1109132a5e
9. base-32 encoding: NAPRILC6USCTAY7NNXB4COVKQJL427NPCEERGKS6
10. pretty-print: NAPRIL-C6USCT-AY7NNX-B4COVK-QJL427-NPCEER-GKS6
Page 4 of 54
Public Key: X Y
32 bytes
compressed-public-key
ripemd160(sha3 256( compressed-public-key ))
1 20 bytes
Network byte:
0x68 - main net
0x98 - test net sha3 256( 1 20 bytes ))
32 bytes
. . . 28 bytes4 bytes
4 bytes20 bytes1
binary address - 25 bytes
NANEMO-ABLAGR-72AZ2R-V3V4ZH-DCXW25-XQ73O7-OBT5
Base-32 encoding
Fig | [
4179,
15029,
119,
8500,
1695,
1104,
4335,
121,
110,
1275,
110,
1406,
110,
1476,
110,
1969,
110,
1851,
110,
2539,
110,
3102,
110,
2908,
110,
3078,
110,
121,
1406,
1969,
2539,
2908,
121,
121,
119,
126,
121,
119,
130,
122,
119,
122,
122,
119,
128,
122,
119,
130,
123,
119,
124,
124,
124,
119,
124,
124,
119,
127,
121,
1275,
1406,
1476,
1969,
1851,
2539,
3102,
2908,
3078,
6556,
1104,
12477,
8031,
4179,
15029,
185,
14044,
172,
1162,
183,
1204,
170,
1403,
174,
175,
1161,
14596,
5048,
11019,
1325,
188,
121,
110,
7345,
2233,
117,
121,
110,
7345,
13032,
142,
13417,
2227,
19604,
116,
116,
12118,
20226,
3496,
15982,
127,
131,
14159,
13601,
6840,
1114,
7492,
15029,
1115,
1132,
1579,
10478,
18764,
1204,
127,
119,
126,
3096,
11470,
6439,
1104,
1103,
5244,
1449,
5823,
170,
5244,
1449,
1111,
15029,
3643,
15029,
1106,
8247,
1147,
4909,
3547,
2452,
1106,
1103,
3496,
4718,
1111,
1168,
15029,
119,
1188,
1431,
1145,
1494,
5233,
1103,
6829,
1104,
1103,
2443,
1272,
1103,
4557,
1104,
1103,
4909,
3547,
1178,
9113,
1113,
170,
14372,
112,
188,
19242,
1133,
1136,
1157,
4495,
119,
14159,
13601,
6840,
1116,
1437,
1115,
1103,
9932,
13822,
1103,
1295,
1104,
2604,
10393,
14255,
5053,
1181,
118,
3386,
4999,
119,
1409,
12477,
8031,
4179,
15029,
1178,
2194,
10478,
18764,
1204,
2233,
1105,
10478,
18764,
1204,
13032,
1152,
1132,
3253,
3626,
113,
15982,
127,
114,
119,
1252,
1256,
1191,
1103,
12477,
8031,
4179,
15029,
1884,
2339,
10308,
1106,
1660,
1168,
12477,
8031,
4179,
15029,
170,
1344,
3496,
2860,
1105,
2194,
6014,
2233,
1105,
13032,
1178,
1106,
170,
2218,
6556,
117,
1103,
3496,
9932,
1253,
7484,
1205,
1103,
6556,
1104,
2604,
10393,
113,
15982,
128,
114,
119,
8500,
1572,
1104,
4335,
121,
110,
1275,
110,
1406,
110,
1476,
110,
1969,
110,
1851,
110,
2539,
110,
3102,
110,
2908,
110,
3078,
110,
121,
1275,
1406,
1476,
1969,
1851,
121,
121,
119,
125,
122,
122,
119,
128,
123,
119,
125,
124,
119,
125,
125,
119,
130,
127,
119,
128,
129,
119,
127,
1407,
119,
130,
121,
127,
1367,
1407,
1572,
1476,
3164,
3565,
3615,
4335,
6556,
1104,
12477,
8031,
4179,
15029,
185,
14044,
172,
1162,
183,
1204,
170,
1403,
174,
175,
1161,
14596,
5048,
11019,
1325,
188,
1969,
110,
7345,
2233,
117,
1969,
110,
7345,
13032,
142,
13417,
2227,
19604,
116,
116,
12118,
20226,
3496,
15982,
128,
131,
14159,
13601,
6840,
1114,
7492,
15029,
1115,
1132,
2121,
10478,
18764,
1204,
8500,
1512,
1104,
4335,
128,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
107,
1135,
1108,
2633,
117,
1103,
1480,
1195,
4562,
20394,
11457,
119,
107,
118,
1613,
9096,
153,
3664,
118,
1104,
118,
146,
24729,
16242,
3633,
113,
18959,
2240,
114,
1110,
1103,
1271,
1104,
1103,
3510,
4129,
10923,
2393,
118,
1301,
24969,
1306,
1215,
1118,
26546,
2107,
119,
2994,
3300,
1110,
3346,
1126,
4495,
2794,
1115,
5250,
8745,
1279,
1157,
9453,
4495,
1106,
1103,
26546,
2107,
4190,
119,
138,
14566,
17430,
1114,
2299,
4495,
7432,
1138,
2299,
5250,
2822,
15951,
1104,
25039,
170,
3510,
113,
1267,
14516,
1665,
118,
189,
1988,
126,
131,
8093,
1116
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
0,
0,
0,
0,
0,
0,
5,
6,
5,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
0,
0,
0,
0,
0,
0,
5,
6,
5,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##ious",
"nodes",
".",
"Page",
"23",
"of",
"54",
"0",
"%",
"10",
"%",
"20",
"%",
"30",
"%",
"40",
"%",
"50",
"%",
"60",
"%",
"70",
"%",
"80",
"%",
"90",
"%",
"0",
"20",
"40",
"60",
"80",
"0",
"0",
".",
"5",
"0",
".",
"9",
"1",
".",
"1",
"1",
".",
"7",
"1",
".",
"9",
"2",
".",
"3",
"3",
"3",
".",
"3",
"3",
".",
"6",
"0",
"10",
"20",
"30",
"40",
"50",
"60",
"70",
"80",
"90",
"percentage",
"of",
"ma",
"##lic",
"##ious",
"nodes",
"p",
"er",
"c",
"##e",
"n",
"##t",
"a",
"##g",
"e",
"f",
"##a",
"il",
"ed",
"ca",
"ll",
"s",
"0",
"%",
"honest",
"data",
",",
"0",
"%",
"honest",
"feedback",
"E",
"##ige",
"##nt",
"##rust",
"+",
"+",
"Un",
"##iform",
"trust",
"Figure",
"6",
":",
"Si",
"##mu",
"##lation",
"with",
"attacking",
"nodes",
"that",
"are",
"always",
"dish",
"##ones",
"##t",
"6",
".",
"5",
"Ben",
"##ef",
"##its",
"of",
"the",
"reputation",
"system",
"Having",
"a",
"reputation",
"system",
"for",
"nodes",
"allows",
"nodes",
"to",
"select",
"their",
"communication",
"partner",
"according",
"to",
"the",
"trust",
"values",
"for",
"other",
"nodes",
".",
"This",
"should",
"also",
"help",
"balance",
"the",
"load",
"of",
"the",
"network",
"because",
"the",
"selection",
"of",
"the",
"communication",
"partner",
"only",
"depends",
"on",
"a",
"node",
"'",
"s",
"honesty",
"but",
"not",
"its",
"importance",
".",
"Si",
"##mu",
"##lation",
"##s",
"show",
"that",
"the",
"algorithm",
"reduces",
"the",
"number",
"of",
"failed",
"interactions",
"con",
"##si",
"##d",
"-",
"era",
"##bly",
".",
"If",
"ma",
"##lic",
"##ious",
"nodes",
"only",
"provide",
"dish",
"##ones",
"##t",
"data",
"and",
"dish",
"##ones",
"##t",
"feedback",
"they",
"are",
"easily",
"identified",
"(",
"Figure",
"6",
")",
".",
"But",
"even",
"if",
"the",
"ma",
"##lic",
"##ious",
"nodes",
"co",
"##ll",
"##ude",
"to",
"give",
"other",
"ma",
"##lic",
"##ious",
"nodes",
"a",
"high",
"trust",
"value",
"and",
"provide",
"false",
"data",
"and",
"feedback",
"only",
"to",
"a",
"certain",
"percentage",
",",
"the",
"trust",
"algorithm",
"still",
"cuts",
"down",
"the",
"percentage",
"of",
"failed",
"interactions",
"(",
"Figure",
"7",
")",
".",
"Page",
"24",
"of",
"54",
"0",
"%",
"10",
"%",
"20",
"%",
"30",
"%",
"40",
"%",
"50",
"%",
"60",
"%",
"70",
"%",
"80",
"%",
"90",
"%",
"0",
"10",
"20",
"30",
"40",
"50",
"0",
"0",
".",
"4",
"1",
"1",
".",
"7",
"2",
".",
"4",
"3",
".",
"4",
"4",
".",
"9",
"6",
".",
"7",
"8",
".",
"6",
"18",
".",
"9",
"0",
"6",
"12",
"18",
"24",
"30",
"36",
"42",
"48",
"54",
"percentage",
"of",
"ma",
"##lic",
"##ious",
"nodes",
"p",
"er",
"c",
"##e",
"n",
"##t",
"a",
"##g",
"e",
"f",
"##a",
"il",
"ed",
"ca",
"ll",
"s",
"40",
"%",
"honest",
"data",
",",
"40",
"%",
"honest",
"feedback",
"E",
"##ige",
"##nt",
"##rust",
"+",
"+",
"Un",
"##iform",
"trust",
"Figure",
"7",
":",
"Si",
"##mu",
"##lation",
"with",
"attacking",
"nodes",
"that",
"are",
"sometimes",
"dish",
"##ones",
"##t",
"Page",
"25",
"of",
"54",
"7",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
"\"",
"It",
"was",
"hot",
",",
"the",
"night",
"we",
"burned",
"Ch",
"##rome",
".",
"\"",
"-",
"William",
"Gibson",
"P",
"roof",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
"(",
"Po",
"##I",
")",
"is",
"the",
"name",
"of",
"the",
"block",
"chain",
"consensus",
"al",
"-",
"go",
"##rith",
"##m",
"used",
"by",
"NE",
"##M",
".",
"Each",
"account",
"is",
"assigned",
"an",
"importance",
"score",
"that",
"pro",
"##xi",
"##es",
"its",
"aggregate",
"importance",
"to",
"the",
"NE",
"##M",
"economy",
".",
"A",
"##cco",
"##unts",
"with",
"higher",
"importance",
"scores",
"have",
"higher",
"pro",
"##ba",
"##bilities",
"of",
"harvesting",
"a",
"block",
"(",
"see",
"se",
"##c",
"-",
"t",
"##ion",
"5",
":",
"Block",
"##s"
] | NEM White paper | 659 |
ure 2: Address generation
Page 5 of 54
2.4 Intentional address collision
It is possible that two different public keys will yield the same address. If such an address
contains XEM it would be possible for an attacker to withdraw funds from such account.
In order for the attack to succeed, the attacker would need to find a private+public
keypair such that the sha3 256 of the public key would at the same time be equal to the
ripemd-160 preimage of 160-bit hash mentioned above. Since sha3 256 offers 12 | [
1105,
1103,
3510,
4129,
114,
119,
2279,
1155,
14409,
1132,
6783,
1907,
1107,
26546,
2107,
117,
1103,
13618,
10873,
1104,
1103,
26546,
2107,
4190,
1169,
1129,
10056,
2839,
119,
1109,
1499,
4063,
118,
18631,
1183,
1104,
1103,
13618,
10873,
1169,
1129,
1215,
1112,
1126,
7758,
1154,
1103,
4495,
1104,
1126,
3300,
119,
1109,
14222,
1115,
1103,
13618,
10873,
1169,
1129,
1215,
1111,
8468,
21977,
6859,
1916,
1103,
4495,
1104,
1126,
3300,
1110,
1103,
2501,
11279,
1104,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
119,
1109,
26546,
2107,
3510,
4129,
3482,
3643,
1155,
14409,
1106,
1129,
14357,
1193,
6497,
119,
1188,
1869,
1164,
2860,
16845,
1206,
5756,
1169,
1129,
1215,
1106,
4959,
170,
5261,
1111,
1103,
4495,
1104,
5756,
119,
1109,
1107,
7926,
8934,
1115,
1136,
1155,
15029,
1107,
170,
10873,
1138,
1103,
1269,
21718,
7174,
3633,
117,
1137,
4495,
117,
1110,
1136,
1207,
119,
1109,
3783,
1107,
1103,
10873,
2749,
1661,
1110,
1218,
1628,
1111,
12783,
1103,
4495,
1104,
15029,
1107,
21562,
1107,
1103,
1877,
1104,
3403,
164,
1429,
166,
117,
1934,
6379,
164,
122,
166,
117,
2472,
6379,
164,
128,
166,
117,
1105,
24928,
11955,
22274,
164,
127,
166,
117,
1621,
1639,
119,
4334,
1228,
1104,
1142,
1107,
7926,
8934,
117,
1141,
1104,
26546,
2107,
112,
188,
4160,
18168,
1110,
1106,
1329,
10873,
1103,
4474,
2941,
5252,
1112,
170,
8148,
7758,
1154,
3510,
4129,
10923,
119,
1109,
1149,
13255,
8952,
1115,
12028,
1103,
13618,
10873,
1110,
2129,
1193,
1696,
1105,
1215,
1107,
1103,
18959,
2240,
19218,
119,
128,
119,
122,
12224,
5389,
5474,
1111,
13832,
9930,
1103,
146,
24729,
16242,
3633,
11917,
21608,
2116,
1706,
1129,
7408,
1111,
5273,
1103,
4495,
19218,
117,
1126,
3300,
1538,
1138,
1120,
1655,
1275,
117,
1288,
21531,
1174,
161,
15577,
119,
1398,
5756,
21554,
1167,
1190,
1275,
117,
1288,
21531,
1174,
161,
15577,
1138,
170,
1664,
118,
6756,
4495,
2794,
119,
1556,
170,
3880,
1104,
129,
117,
4850,
1580,
117,
4850,
1580,
117,
4850,
1580,
161,
15577,
117,
1103,
10093,
4177,
1295,
1104,
5756,
1114,
1664,
118,
6756,
4495,
1110,
5840,
1580,
117,
4850,
1580,
119,
1130,
2415,
117,
1103,
1295,
1104,
4315,
5756,
1114,
1664,
118,
6756,
4495,
1110,
1136,
2637,
1106,
3136,
1103,
10093,
12477,
1775,
1496,
1106,
1107,
1162,
13284,
16652,
1107,
1316,
161,
15577,
1105,
1145,
1103,
18107,
4692,
2628,
1114,
21531,
1158,
119,
1409,
26546,
2107,
3316,
1304,
1927,
117,
170,
11810,
1104,
1275,
117,
1288,
21531,
1174,
161,
15577,
1180,
1129,
5576,
18766,
9739,
119,
1409,
3238,
117,
1142,
1295,
1180,
1129,
8054,
1107,
1103,
2174,
2258,
170,
1662,
13097,
117,
1134,
1110,
1103,
1269,
7791,
1111,
21763,
13618,
9942,
1105,
1168,
11934,
2272,
1106,
25039,
119,
8500,
1744,
1104,
4335,
128,
119,
123,
1109,
1149,
13255,
8952,
15463,
8661,
6787,
1103,
18959,
2240,
19218,
1110,
1694,
1120,
3976,
177,
119,
138,
14566,
17430,
1115,
1138,
170,
21531,
1174,
5233,
1104,
1120,
1655,
1275,
117,
1288,
161,
15577,
1120,
3976,
177,
1132,
7408,
1106,
1129,
1226,
1104,
1103,
18959,
2240,
19218,
119,
1370,
1343,
5756,
117,
26546,
2107,
19213,
1155,
4036,
14409,
1115,
13692,
1103
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"and",
"the",
"block",
"chain",
")",
".",
"Because",
"all",
"transactions",
"are",
"publicly",
"available",
"in",
"NE",
"##M",
",",
"the",
"transaction",
"graph",
"of",
"the",
"NE",
"##M",
"economy",
"can",
"be",
"calculated",
"exactly",
".",
"The",
"top",
"##ol",
"-",
"og",
"##y",
"of",
"the",
"transaction",
"graph",
"can",
"be",
"used",
"as",
"an",
"input",
"into",
"the",
"importance",
"of",
"an",
"account",
".",
"The",
"insight",
"that",
"the",
"transaction",
"graph",
"can",
"be",
"used",
"for",
"el",
"##uc",
"##ida",
"##ting",
"the",
"importance",
"of",
"an",
"account",
"is",
"the",
"key",
"innovation",
"of",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
".",
"The",
"NE",
"##M",
"block",
"chain",
"platform",
"allows",
"all",
"transactions",
"to",
"be",
"transparent",
"##ly",
"viewed",
".",
"This",
"information",
"about",
"value",
"transfers",
"between",
"accounts",
"can",
"be",
"used",
"to",
"determine",
"a",
"rating",
"for",
"the",
"importance",
"of",
"accounts",
".",
"The",
"in",
"##tu",
"##ition",
"that",
"not",
"all",
"nodes",
"in",
"a",
"graph",
"have",
"the",
"same",
"sa",
"##lie",
"##nce",
",",
"or",
"importance",
",",
"is",
"not",
"new",
".",
"The",
"literature",
"in",
"the",
"graph",
"theory",
"community",
"is",
"well",
"established",
"for",
"computing",
"the",
"importance",
"of",
"nodes",
"in",
"graphs",
"in",
"the",
"areas",
"of",
"search",
"[",
"11",
"]",
",",
"social",
"networks",
"[",
"1",
"]",
",",
"street",
"networks",
"[",
"7",
"]",
",",
"and",
"ne",
"##uro",
"##science",
"[",
"6",
"]",
",",
"among",
"others",
".",
"Building",
"off",
"of",
"this",
"in",
"##tu",
"##ition",
",",
"one",
"of",
"NE",
"##M",
"'",
"s",
"core",
"innovations",
"is",
"to",
"use",
"graph",
"the",
"##ore",
"##tic",
"measures",
"as",
"a",
"fundamental",
"input",
"into",
"block",
"chain",
"consensus",
".",
"The",
"out",
"##link",
"matrix",
"that",
"defines",
"the",
"transaction",
"graph",
"is",
"central",
"##ly",
"important",
"and",
"used",
"in",
"the",
"Po",
"##I",
"calculation",
".",
"7",
".",
"1",
"Eli",
"##gi",
"##bility",
"for",
"En",
"##tering",
"the",
"I",
"##mpo",
"##rta",
"##nce",
"Cal",
"##cula",
"##tion",
"To",
"be",
"eligible",
"for",
"entering",
"the",
"importance",
"calculation",
",",
"an",
"account",
"must",
"have",
"at",
"least",
"10",
",",
"000",
"vest",
"##ed",
"X",
"##EM",
".",
"All",
"accounts",
"owning",
"more",
"than",
"10",
",",
"000",
"vest",
"##ed",
"X",
"##EM",
"have",
"a",
"non",
"-",
"zero",
"importance",
"score",
".",
"With",
"a",
"supply",
"of",
"8",
",",
"99",
"##9",
",",
"99",
"##9",
",",
"99",
"##9",
"X",
"##EM",
",",
"the",
"theoretical",
"maximum",
"number",
"of",
"accounts",
"with",
"non",
"-",
"zero",
"importance",
"is",
"89",
"##9",
",",
"99",
"##9",
".",
"In",
"practice",
",",
"the",
"number",
"of",
"actual",
"accounts",
"with",
"non",
"-",
"zero",
"importance",
"is",
"not",
"expected",
"to",
"approach",
"the",
"theoretical",
"ma",
"##x",
"due",
"to",
"in",
"##e",
"##qua",
"##lities",
"in",
"held",
"X",
"##EM",
"and",
"also",
"the",
"temporal",
"costs",
"associated",
"with",
"vest",
"##ing",
".",
"If",
"NE",
"##M",
"becomes",
"very",
"popular",
",",
"a",
"threshold",
"of",
"10",
",",
"000",
"vest",
"##ed",
"X",
"##EM",
"could",
"be",
"und",
"##esi",
"##rable",
".",
"If",
"necessary",
",",
"this",
"number",
"could",
"be",
"updated",
"in",
"the",
"future",
"via",
"a",
"hard",
"fork",
",",
"which",
"is",
"the",
"same",
"procedure",
"for",
"adjusting",
"transaction",
"fees",
"and",
"other",
"parameters",
"related",
"to",
"harvesting",
".",
"Page",
"26",
"of",
"54",
"7",
".",
"2",
"The",
"out",
"##link",
"matrix",
"Su",
"##pp",
"##ose",
"the",
"Po",
"##I",
"calculation",
"is",
"done",
"at",
"height",
"h",
".",
"A",
"##cco",
"##unts",
"that",
"have",
"a",
"vest",
"##ed",
"balance",
"of",
"at",
"least",
"10",
",",
"000",
"X",
"##EM",
"at",
"height",
"h",
"are",
"eligible",
"to",
"be",
"part",
"of",
"the",
"Po",
"##I",
"calculation",
".",
"For",
"those",
"accounts",
",",
"NE",
"##M",
"collects",
"all",
"transfer",
"transactions",
"that",
"satisfy",
"the"
] | NEM White paper | 660 |
8 bits of
security, it's mathematically improbable for a single sha3 256 collision to be found. Due
to similarities between NEM addresses and Bitcoin addresses, the probability of causing a
NEM address collision is roughly the same as that of causing a Bitcoin address collision.
Page 6 of 54
3 Cryptography
" I understood the importance in principle of public key cryptography but it'sall moved much faster than I expected. I did not expect it to be a mainstay
of advanced communications technology. "- W | [
1378,
2975,
131,
794,
23489,
4359,
1126,
2971,
1104,
1120,
1655,
122,
117,
1288,
161,
15577,
794,
11679,
20564,
3540,
1439,
1103,
1314,
3887,
117,
2363,
5511,
113,
2324,
1476,
1552,
114,
794,
11336,
6617,
15418,
2227,
1110,
7408,
1106,
1129,
1226,
1104,
1103,
18959,
2240,
19218,
1315,
113,
1267,
4841,
25461,
128,
119,
122,
131,
12224,
5389,
118,
16516,
11796,
1111,
13832,
9930,
1103,
146,
24729,
16242,
3633,
11917,
21608,
2116,
114,
1370,
1296,
1216,
13618,
157,
1377,
1115,
3175,
2971,
216,
3190,
15577,
1121,
3300,
19294,
1106,
3300,
138,
3361,
1105,
2171,
1120,
3976,
20844,
17187,
117,
170,
2841,
1110,
10056,
2452,
1106,
1103,
1378,
7893,
131,
192,
1182,
17187,
134,
2971,
218,
4252,
1643,
113,
181,
1179,
113,
121,
119,
130,
114,
164,
177,
25532,
20844,
17187,
15373,
1568,
166,
114,
1187,
164,
193,
166,
16699,
1103,
1837,
3053,
119,
1109,
10873,
1107,
15982,
129,
131,
2971,
14352,
1104,
6087,
1568,
161,
15577,
20873,
1116,
1293,
170,
13618,
2971,
1104,
1275,
117,
1288,
161,
15577,
1110,
20167,
1166,
1159,
119,
1636,
4718,
1132,
9453,
1181,
1106,
192,
28311,
1182,
3361,
134,
100,
180,
192,
1182,
17187,
9617,
1916,
267,
1182,
3361,
134,
192,
28311,
3454,
851,
192,
28311,
1182,
3361,
1191,
192,
28311,
3454,
851,
192,
28311,
1182,
3361,
135,
3135,
4303,
1921,
117,
1103,
1149,
13255,
8952,
152,
1110,
11561,
1104,
5644,
184,
1182,
3361,
1112,
184,
1182,
3361,
134,
100,
178,
267,
1182,
3361,
1191,
100,
178,
267,
1182,
3361,
135,
121,
121,
4303,
1109,
1149,
13255,
8952,
5290,
184,
1182,
3361,
2456,
4856,
1103,
20167,
5795,
4235,
113,
1134,
1110,
1383,
1106,
121,
1191,
4366,
114,
1104,
161,
15577,
1121,
19294,
1106,
138,
3361,
1219,
1103,
113,
2324,
114,
1314,
1476,
1552,
119,
1188,
2086,
1115,
1178,
5795,
16845,
8681,
1106,
1126,
3300,
112,
188,
4495,
119,
8500,
1765,
1104,
4335,
121,
123,
125,
127,
129,
1275,
1367,
1489,
1479,
1407,
1406,
1659,
1572,
1744,
1743,
1476,
121,
126,
117,
1288,
1275,
117,
1288,
1552,
192,
174,
1182,
176,
1324,
189,
120,
1275,
127,
15982,
129,
131,
2971,
14352,
1104,
6087,
1568,
161,
15577,
8500,
1743,
1104,
4335,
15982,
130,
131,
153,
7841,
1104,
1103,
26546,
2107,
13618,
10873,
113,
1149,
13255,
8952,
114,
1112,
1104,
1853,
1364,
117,
1410,
117,
4051,
122,
117,
2532,
1545,
25039,
118,
7408,
5756,
119,
8500,
1853,
1104,
4335,
128,
119,
124,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1247,
1132,
1242,
3242,
1106,
4959,
1103,
21718,
7174,
3633,
1104,
15029,
1107,
170,
2443,
117,
1105,
8500,
2069,
1389,
1377,
1110,
1141,
3442,
119,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1110,
1861,
1106,
8500,
2069,
1389,
1377,
117,
1187,
1103,
19255,
9750,
3735,
1104,
1126,
14044,
2758,
13328,
2392,
3292,
4129,
1110,
10056,
164,
130,
117,
1429,
166,
119,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
19148,
23244,
1103,
2212,
2423,
1260,
8178,
5674,
17272,
2401,
1104,
1415,
118,
3418,
21562,
1104,
1869,
5611,
1118,
5321,
1126,
9455,
118,
1634,
10013,
8952,
1112,
1126,
3908,
1858,
117,
150,
119,
1109,
9455,
118,
1634,
10013,
8952,
3584,
1103
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"following",
"conditions",
":",
"β’",
"Transfer",
"##red",
"an",
"amount",
"of",
"at",
"least",
"1",
",",
"000",
"X",
"##EM",
"β’",
"Ha",
"##ppe",
"##ned",
"within",
"the",
"last",
"43",
",",
"200",
"blocks",
"(",
"approximately",
"30",
"days",
")",
"β’",
"Re",
"##ci",
"##pie",
"##nt",
"is",
"eligible",
"to",
"be",
"part",
"of",
"the",
"Po",
"##I",
"calculation",
"too",
"(",
"see",
"sub",
"##section",
"7",
".",
"1",
":",
"Eli",
"##gi",
"-",
"bi",
"##lity",
"for",
"En",
"##tering",
"the",
"I",
"##mpo",
"##rta",
"##nce",
"Cal",
"##cula",
"##tion",
")",
"For",
"each",
"such",
"transaction",
"T",
"##k",
"that",
"transferred",
"amount",
"Β΅",
"##X",
"##EM",
"from",
"account",
"Ai",
"to",
"account",
"A",
"##j",
"and",
"happened",
"at",
"height",
"hi",
"##jk",
",",
"a",
"weight",
"is",
"calculated",
"according",
"to",
"the",
"following",
"formula",
":",
"w",
"##i",
"##jk",
"=",
"amount",
"Β·",
"ex",
"##p",
"(",
"l",
"##n",
"(",
"0",
".",
"9",
")",
"[",
"h",
"##β",
"hi",
"##jk",
"144",
"##0",
"]",
")",
"where",
"[",
"x",
"]",
"denotes",
"the",
"floor",
"function",
".",
"The",
"graph",
"in",
"Figure",
"8",
":",
"amount",
"decay",
"of",
"1000",
"##0",
"X",
"##EM",
"illustrate",
"##s",
"how",
"a",
"transaction",
"amount",
"of",
"10",
",",
"000",
"X",
"##EM",
"is",
"weighted",
"over",
"time",
".",
"These",
"values",
"are",
"aggregate",
"##d",
"to",
"w",
"##Μ",
"##i",
"##j",
"=",
"[UNK]",
"k",
"w",
"##i",
"##jk",
"Set",
"##ting",
"Γ΅",
"##i",
"##j",
"=",
"w",
"##Μ",
"##ji",
"β",
"w",
"##Μ",
"##i",
"##j",
"if",
"w",
"##Μ",
"##ji",
"β",
"w",
"##Μ",
"##i",
"##j",
">",
"00",
"otherwise",
"finally",
",",
"the",
"out",
"##link",
"matrix",
"O",
"is",
"comprised",
"of",
"components",
"o",
"##i",
"##j",
"as",
"o",
"##i",
"##j",
"=",
"[UNK]",
"i",
"Γ΅",
"##i",
"##j",
"if",
"[UNK]",
"i",
"Γ΅",
"##i",
"##j",
">",
"0",
"0",
"otherwise",
"The",
"out",
"##link",
"matrix",
"element",
"o",
"##i",
"##j",
"thus",
"describes",
"the",
"weighted",
"net",
"flow",
"(",
"which",
"is",
"set",
"to",
"0",
"if",
"negative",
")",
"of",
"X",
"##EM",
"from",
"Ai",
"to",
"A",
"##j",
"during",
"the",
"(",
"approximately",
")",
"last",
"30",
"days",
".",
"This",
"means",
"that",
"only",
"net",
"transfers",
"contribute",
"to",
"an",
"account",
"'",
"s",
"importance",
".",
"Page",
"27",
"of",
"54",
"0",
"2",
"4",
"6",
"8",
"10",
"12",
"14",
"16",
"18",
"20",
"22",
"24",
"26",
"28",
"30",
"0",
"5",
",",
"000",
"10",
",",
"000",
"days",
"w",
"e",
"##i",
"g",
"##h",
"t",
"/",
"10",
"6",
"Figure",
"8",
":",
"amount",
"decay",
"of",
"1000",
"##0",
"X",
"##EM",
"Page",
"28",
"of",
"54",
"Figure",
"9",
":",
"P",
"##lot",
"of",
"the",
"NE",
"##M",
"transaction",
"graph",
"(",
"out",
"##link",
"matrix",
")",
"as",
"of",
"29",
"April",
",",
"2015",
",",
"containing",
"1",
",",
"45",
"##6",
"harvesting",
"-",
"eligible",
"accounts",
".",
"Page",
"29",
"of",
"54",
"7",
".",
"3",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"There",
"are",
"many",
"ways",
"to",
"determine",
"the",
"sa",
"##lie",
"##nce",
"of",
"nodes",
"in",
"a",
"network",
",",
"and",
"Page",
"##R",
"##an",
"##k",
"is",
"one",
"method",
".",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"is",
"similar",
"to",
"Page",
"##R",
"##an",
"##k",
",",
"where",
"the",
"stationary",
"probability",
"distribution",
"of",
"an",
"er",
"##go",
"##dic",
"Mark",
"##ov",
"chain",
"is",
"calculated",
"[",
"9",
",",
"11",
"]",
".",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"additionally",
"exploits",
"the",
"nearly",
"completely",
"de",
"##com",
"##po",
"##sable",
"structure",
"of",
"large",
"-",
"scale",
"graphs",
"of",
"information",
"flows",
"by",
"adding",
"an",
"inter",
"-",
"level",
"proximity",
"matrix",
"as",
"an",
"extra",
"term",
",",
"M",
".",
"The",
"inter",
"-",
"level",
"proximity",
"matrix",
"models",
"the"
] | NEM White paper | 661 |
hitfield Diffie
B
lock chain technology demands the use of some cryptographic concepts.
NEM, like many other crypto currencies, is using cryptography based on
Elliptic Curve Cryptography. The choice of the underlying curve is impor-
tant in order to guarantee security and speed.
NEM has chosen to use the Twisted Edwards curve:
βx2 + y2 = 1β
121665
121666
x2y2
over the finite field defined by the prime number 2255 β 19 together with the digital
signature algorithm called Ed25519. It was developed by D | [
1864,
1115,
2114,
1104,
15029,
1132,
4099,
5128,
1487,
1106,
1532,
13687,
1115,
12254,
1114,
1296,
1168,
119,
1188,
3643,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1106,
14255,
4121,
2176,
4946,
1190,
8500,
2069,
1389,
1377,
1229,
1145,
1217,
1167,
13676,
1106,
18776,
1104,
7432,
117,
1272,
1103,
3997,
1111,
15029,
1439,
1103,
1269,
1634,
1209,
1129,
2609,
119,
3237,
1179,
1107,
8952,
16049,
117,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1110,
10056,
1112,
131,
100,
134,
152,
28344,
28352,
116,
150,
28170,
28352,
116,
142,
113,
122,
25532,
424,
851,
216,
114,
433,
117,
113,
1275,
114,
1187,
131,
152,
1110,
1103,
1149,
13255,
8952,
150,
1110,
1103,
9455,
118,
1634,
10013,
8952,
142,
1110,
1103,
21359,
1513,
4342,
1891,
8952,
433,
1110,
1103,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
424,
1110,
1103,
13394,
1104,
4495,
1115,
1110,
1549,
2258,
1149,
13255,
1116,
216,
1110,
1103,
13394,
1104,
4495,
1549,
1106,
5250,
23984,
5756,
1188,
5754,
1110,
1103,
1269,
1112,
1111,
8500,
2069,
1389,
1377,
117,
1178,
1114,
1103,
1901,
1104,
150,
1105,
216,
119,
1370,
26546,
2107,
117,
424,
1110,
121,
119,
128,
1105,
216,
1110,
121,
119,
122,
119,
1109,
4068,
1104,
1293,
1296,
1104,
1292,
10986,
1110,
10056,
1132,
1112,
3226,
119,
2421,
160,
1129,
1103,
1383,
1104,
1155,
25039,
118,
7408,
5756,
119,
1370,
190,
850,
160,
117,
144,
1358,
1110,
1103,
1383,
1104,
5756,
1115,
1138,
1460,
1167,
1107,
2860,
16845,
1121,
3300,
190,
1190,
1138,
1850,
190,
119,
16992,
2423,
1260,
8178,
5674,
17272,
113,
14056,
2137,
114,
16416,
1116,
1104,
160,
1132,
3393,
1112,
196,
18967,
117,
25621,
117,
119,
119,
119,
117,
23096,
198,
117,
1216,
1115,
1111,
1451,
190,
850,
160,
117,
1175,
1110,
170,
3527,
148,
1216,
1115,
190,
850,
25808,
119,
1109,
5250,
23984,
5756,
1104,
1296,
190,
117,
440,
1358,
117,
1132,
2456,
3393,
1112,
131,
440,
1358,
117,
100,
192,
28745,
113,
190,
28753,
2349,
1358,
114,
138,
113,
192,
114,
117,
113,
1429,
114,
1105,
151,
1358,
16699,
1103,
1295,
1104,
14056,
2137,
5511,
1107,
440,
1358,
119,
8500,
1476,
1104,
4335,
1109,
5754,
1104,
1103,
1149,
13255,
8952,
152,
1110,
1758,
1107,
4841,
25461,
128,
119,
123,
131,
1109,
1149,
13255,
8952,
119,
1706,
11865,
25628,
117,
152,
28344,
116,
150,
28170,
116,
142,
113,
122,
851,
424,
851,
216,
114,
1538,
1129,
1126,
178,
16145,
21977,
5225,
117,
5551,
118,
188,
2430,
7147,
5668,
8952,
119,
1188,
1110,
8587,
1118,
4267,
20623,
4253,
1103,
3997,
1104,
20626,
170,
1665,
118,
10664,
113,
5756,
1443,
1149,
13255,
1158,
2860,
16845,
114,
1177,
1115,
1451,
3300,
1144,
170,
1664,
118,
6756,
21359,
1513,
4342,
1891,
9750,
119,
1109,
9455,
118,
1634,
10013,
8952,
150,
1110,
10056,
1118,
10005,
1158,
1103,
13618,
10873,
113,
1758,
1107,
4841,
25461,
128,
119,
125,
131,
140,
23225,
1158,
1103,
13618,
10873,
114,
1106,
9410,
1296,
14056,
2137,
3510,
23096,
1105,
1173,
13170,
1103,
5250,
23984,
5756,
1111,
1296,
2765,
191,
1358,
1107,
150,
131,
150,
1964,
117,
190,
117,
122,
151,
1358,
197,
138,
113,
191
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"fact",
"that",
"groups",
"of",
"nodes",
"are",
"closely",
"linked",
"together",
"to",
"form",
"clusters",
"that",
"interact",
"with",
"each",
"other",
".",
"This",
"allows",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"to",
"con",
"##ver",
"##ge",
"faster",
"than",
"Page",
"##R",
"##an",
"##k",
"while",
"also",
"being",
"more",
"resistant",
"to",
"manipulation",
"of",
"scores",
",",
"because",
"the",
"rank",
"for",
"nodes",
"within",
"the",
"same",
"level",
"will",
"be",
"limited",
".",
"Show",
"##n",
"in",
"matrix",
"notation",
",",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"is",
"calculated",
"as",
":",
"[UNK]",
"=",
"O",
"##Ξ·",
"##Ο",
"+",
"M",
"##Β΅",
"##Ο",
"+",
"E",
"(",
"1",
"##β",
"Ξ·",
"β",
"Β΅",
")",
"Ο",
",",
"(",
"10",
")",
"where",
":",
"O",
"is",
"the",
"out",
"##link",
"matrix",
"M",
"is",
"the",
"inter",
"-",
"level",
"proximity",
"matrix",
"E",
"is",
"the",
"te",
"##le",
"##port",
"##ation",
"matrix",
"Ο",
"is",
"the",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"Ξ·",
"is",
"the",
"fraction",
"of",
"importance",
"that",
"is",
"given",
"via",
"out",
"##link",
"##s",
"Β΅",
"is",
"the",
"fraction",
"of",
"importance",
"given",
"to",
"pro",
"##ximal",
"accounts",
"This",
"definition",
"is",
"the",
"same",
"as",
"for",
"Page",
"##R",
"##an",
"##k",
",",
"only",
"with",
"the",
"addition",
"of",
"M",
"and",
"Β΅",
".",
"For",
"NE",
"##M",
",",
"Ξ·",
"is",
"0",
".",
"7",
"and",
"Β΅",
"is",
"0",
".",
"1",
".",
"The",
"details",
"of",
"how",
"each",
"of",
"these",
"variables",
"is",
"calculated",
"are",
"as",
"follows",
".",
"Let",
"W",
"be",
"the",
"set",
"of",
"all",
"harvesting",
"-",
"eligible",
"accounts",
".",
"For",
"u",
"β",
"W",
",",
"G",
"##u",
"is",
"the",
"set",
"of",
"accounts",
"that",
"have",
"received",
"more",
"in",
"value",
"transfers",
"from",
"account",
"u",
"than",
"have",
"sent",
"u",
".",
"Nearly",
"completely",
"de",
"##com",
"##po",
"##sable",
"(",
"NC",
"##D",
")",
"partition",
"##s",
"of",
"W",
"are",
"defined",
"as",
"{",
"A1",
",",
"A2",
",",
".",
".",
".",
",",
"AN",
"}",
",",
"such",
"that",
"for",
"every",
"u",
"β",
"W",
",",
"there",
"is",
"a",
"unique",
"K",
"such",
"that",
"u",
"β",
"AK",
".",
"The",
"pro",
"##ximal",
"accounts",
"of",
"each",
"u",
",",
"Ο",
"##u",
",",
"are",
"thus",
"defined",
"as",
":",
"Ο",
"##u",
",",
"[UNK]",
"w",
"##β",
"(",
"u",
"##βͺ",
"##G",
"##u",
")",
"A",
"(",
"w",
")",
",",
"(",
"11",
")",
"and",
"N",
"##u",
"denotes",
"the",
"number",
"of",
"NC",
"##D",
"blocks",
"in",
"Ο",
"##u",
".",
"Page",
"30",
"of",
"54",
"The",
"definition",
"of",
"the",
"out",
"##link",
"matrix",
"O",
"is",
"described",
"in",
"sub",
"##section",
"7",
".",
"2",
":",
"The",
"out",
"##link",
"matrix",
".",
"To",
"guarantee",
"convergence",
",",
"O",
"##Ξ·",
"+",
"M",
"##Β΅",
"+",
"E",
"(",
"1",
"β",
"Ξ·",
"β",
"Β΅",
")",
"must",
"be",
"an",
"i",
"##rred",
"##uc",
"##ible",
",",
"column",
"-",
"s",
"##to",
"##cha",
"##stic",
"matrix",
".",
"This",
"is",
"accomplished",
"by",
"di",
"##sper",
"##sing",
"the",
"rank",
"of",
"dangling",
"a",
"##c",
"-",
"counts",
"(",
"accounts",
"without",
"out",
"##link",
"##ing",
"value",
"transfers",
")",
"so",
"that",
"every",
"account",
"has",
"a",
"non",
"-",
"zero",
"te",
"##le",
"##port",
"##ation",
"probability",
".",
"The",
"inter",
"-",
"level",
"proximity",
"matrix",
"M",
"is",
"calculated",
"by",
"cluster",
"##ing",
"the",
"transaction",
"graph",
"(",
"described",
"in",
"sub",
"##section",
"7",
".",
"4",
":",
"C",
"##luster",
"##ing",
"the",
"transaction",
"graph",
")",
"to",
"define",
"each",
"NC",
"##D",
"block",
"AN",
"and",
"then",
"determining",
"the",
"pro",
"##ximal",
"accounts",
"for",
"each",
"cell",
"v",
"##u",
"in",
"M",
":",
"M",
"##v",
",",
"u",
",",
"1",
"N",
"##u",
"|",
"A",
"(",
"v"
] | NEM White paper | 662 |
. J. Bernstein et al. and is one
of the safest and fastest digital signature algorithms [2].
The base point for the corresponding group G is called B. The group has q = 2252 β
27742317777372353535851937790883648493 elements. Every group element A can be en-
coded into a 256 bit integer A which can also be interpreted as 256-bit string and A can
be decoded to receive A again. For details see [2].
For the hash function H mentioned in the paper, NEM uses the 512 bit SHA3 hash
function.
3.1 Private and pub | [
114,
197,
1191,
191,
850,
440,
1358,
121,
4303,
113,
1367,
114,
1109,
21359,
1513,
4342,
1891,
8952,
142,
1110,
10056,
1112,
131,
142,
117,
174,
1964,
135,
113,
1492,
114,
1187,
191,
135,
1110,
170,
21359,
1513,
4342,
1891,
9750,
9479,
1105,
174,
1110,
1103,
9479,
1114,
1155,
5644,
1383,
1106,
122,
119,
153,
18890,
1193,
117,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1110,
10056,
2258,
1103,
1540,
1122,
17166,
3442,
1112,
3226,
131,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1197,
113,
178,
114,
134,
113,
122,
25532,
424,
851,
216,
114,
122,
197,
144,
197,
116,
424,
100,
180,
134,
122,
184,
4847,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1197,
25532,
1475,
113,
180,
114,
116,
216,
100,
180,
134,
122,
1940,
1377,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1197,
25532,
1475,
113,
180,
114,
113,
1489,
114,
1187,
21534,
1182,
16699,
1103,
180,
1582,
5105,
1111,
5551,
178,
1107,
152,
1105,
182,
2293,
1110,
1103,
180,
1582,
5105,
1111,
5551,
178,
1107,
150,
119,
1109,
9932,
3430,
1235,
1103,
1849,
1107,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1206,
1122,
17166,
1116,
1110,
1750,
1190,
170,
9467,
422,
131,
113,
100,
178,
2349,
100,
113,
178,
114,
851,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1197,
25532,
1475,
113,
178,
114,
100,
114,
133,
422,
113,
1405,
114,
11341,
8043,
12148,
1891,
1111,
1241,
1103,
1149,
13255,
1105,
1103,
9455,
118,
1634,
10013,
24350,
23613,
1115,
1103,
6468,
9750,
8952,
1206,
5756,
1110,
188,
2430,
7147,
5668,
117,
178,
16145,
21977,
5225,
117,
1105,
185,
10205,
1182,
118,
189,
2109,
117,
1177,
1115,
1103,
9932,
1110,
13008,
1106,
14255,
4121,
2176,
119,
1370,
1167,
4068,
1113,
1103,
12523,
14494,
1204,
118,
178,
7867,
2749,
1104,
8500,
2069,
1389,
1377,
117,
1267,
164,
130,
166,
119,
8500,
1955,
1104,
4335,
1249,
6352,
1107,
164,
1275,
166,
117,
1122,
1110,
1936,
1106,
4851,
1103,
1295,
1104,
17891,
1105,
2420,
1146,
1103,
19218,
1104,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1118,
1260,
8178,
5674,
4253,
1103,
22726,
9455,
118,
1634,
10013,
8952,
150,
1154,
1160,
24350,
155,
1105,
138,
131,
138,
117,
174,
197,
18967,
197,
121,
218,
218,
218,
121,
121,
174,
197,
25621,
197,
218,
218,
218,
121,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
119,
121,
121,
218,
218,
218,
174,
197,
23096,
197,
113,
1479,
114,
174,
197,
138,
1377,
197,
1110,
1103,
9479,
1114,
197,
138,
1377,
197,
5644,
1155,
1383,
1106,
122,
119,
172,
134,
113,
122,
197,
18967,
197,
122,
197,
25621,
197,
218,
218,
218,
122,
197,
23096,
197,
114,
113,
1542,
114,
155,
117,
164,
172,
1475,
2069,
797,
122,
28746,
172,
1477,
2069,
797,
123,
28746,
218,
218,
218,
172,
16107,
797,
151,
115,
166,
113,
1407,
114,
1187,
155,
797,
178,
28746,
1110,
1103,
1122,
1324,
5105,
1104,
1103,
8952,
155,
797,
1134,
1110,
3393,
1112,
155,
1182,
117,
179,
117,
196,
122,
151,
1358,
1191,
19294,
850,
440,
1358,
121,
4303,
113,
1627,
114,
1109,
26546,
2107,
7249,
2745
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
] | [
")",
"|",
"if",
"v",
"β",
"Ο",
"##u",
"0",
"otherwise",
"(",
"12",
")",
"The",
"te",
"##le",
"##port",
"##ation",
"matrix",
"E",
"is",
"calculated",
"as",
":",
"E",
",",
"e",
"##v",
">",
"(",
"13",
")",
"where",
"v",
">",
"is",
"a",
"te",
"##le",
"##port",
"##ation",
"probability",
"vector",
"and",
"e",
"is",
"the",
"vector",
"with",
"all",
"components",
"set",
"to",
"1",
".",
"P",
"##ractical",
"##ly",
",",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"is",
"calculated",
"via",
"the",
"power",
"it",
"##eration",
"method",
"as",
"follows",
":",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"##r",
"(",
"i",
")",
"=",
"(",
"1",
"##β",
"Ξ·",
"β",
"Β΅",
")",
"1",
"|",
"G",
"|",
"+",
"Ξ·",
"[UNK]",
"k",
"=",
"1",
"o",
"##ik",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"##r",
"##β",
"##1",
"(",
"k",
")",
"+",
"Β΅",
"[UNK]",
"k",
"=",
"1",
"mi",
"##k",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"##r",
"##β",
"##1",
"(",
"k",
")",
"(",
"14",
")",
"where",
"ok",
"##i",
"denotes",
"the",
"k",
"##th",
"row",
"for",
"column",
"i",
"in",
"O",
"and",
"m",
"##ki",
"is",
"the",
"k",
"##th",
"row",
"for",
"column",
"i",
"in",
"M",
".",
"The",
"algorithm",
"continues",
"until",
"the",
"change",
"in",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"between",
"it",
"##eration",
"##s",
"is",
"less",
"than",
"a",
"specified",
"Ξ΅",
":",
"(",
"[UNK]",
"i",
"##G",
"[UNK]",
"(",
"i",
")",
"β",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"##r",
"##β",
"##1",
"(",
"i",
")",
"[UNK]",
")",
"<",
"Ξ΅",
"(",
"15",
")",
"Tel",
"##ep",
"##ort",
"##ation",
"for",
"both",
"the",
"out",
"##link",
"and",
"the",
"inter",
"-",
"level",
"proximity",
"matrices",
"ensures",
"that",
"the",
"transition",
"probability",
"matrix",
"between",
"accounts",
"is",
"s",
"##to",
"##cha",
"##stic",
",",
"i",
"##rred",
"##uc",
"##ible",
",",
"and",
"p",
"##rim",
"##i",
"-",
"t",
"##ive",
",",
"so",
"that",
"the",
"algorithm",
"is",
"guaranteed",
"to",
"con",
"##ver",
"##ge",
".",
"For",
"more",
"details",
"on",
"the",
"math",
"##ema",
"##t",
"-",
"i",
"##cal",
"theory",
"of",
"Page",
"##R",
"##an",
"##k",
",",
"see",
"[",
"9",
"]",
".",
"Page",
"31",
"of",
"54",
"As",
"discussed",
"in",
"[",
"10",
"]",
",",
"it",
"is",
"possible",
"to",
"reduce",
"the",
"number",
"of",
"calculations",
"and",
"speed",
"up",
"the",
"calculation",
"of",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"by",
"de",
"##com",
"##po",
"##sing",
"the",
"sparse",
"inter",
"-",
"level",
"proximity",
"matrix",
"M",
"into",
"two",
"matrices",
"R",
"and",
"A",
":",
"A",
",",
"e",
"|",
"A1",
"|",
"0",
"Β·",
"Β·",
"Β·",
"0",
"0",
"e",
"|",
"A2",
"|",
"Β·",
"Β·",
"Β·",
"0",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
".",
"0",
"0",
"Β·",
"Β·",
"Β·",
"e",
"|",
"AN",
"|",
"(",
"16",
")",
"e",
"|",
"A",
"##k",
"|",
"is",
"the",
"vector",
"with",
"|",
"A",
"##k",
"|",
"components",
"all",
"set",
"to",
"1",
".",
"c",
"=",
"(",
"1",
"|",
"A1",
"|",
"1",
"|",
"A2",
"|",
"Β·",
"Β·",
"Β·",
"1",
"|",
"AN",
"|",
")",
"(",
"17",
")",
"R",
",",
"[",
"c",
"##1",
"##R",
"β²",
"1",
"##β",
"c",
"##2",
"##R",
"β²",
"2",
"##β",
"Β·",
"Β·",
"Β·",
"c",
"##NR",
"β²",
"N",
"*",
"]",
"(",
"18",
")",
"where",
"R",
"β²",
"i",
"##β",
"is",
"the",
"it",
"##h",
"row",
"of",
"the",
"matrix",
"R",
"β²",
"which",
"is",
"defined",
"as",
"R",
"##i",
",",
"j",
",",
"{",
"1",
"N",
"##u",
"if",
"Ai",
"β",
"Ο",
"##u",
"0",
"otherwise",
"(",
"19",
")",
"The",
"NE",
"##M",
"implementation",
"uses"
] | NEM White paper | 663 |
lic key
The private key is a random 256-bit integer k. To derive the public key A from it, the
following steps are taken:
H(k) = (h0, h1, ..., h511) (1)
a = 2254 +
β
3β€iβ€253
2ihi (2)
A = aB (3)
Since A is a group element it can be encoded into a 256-bit integer A which serves as the
public key.
Page 7 of 54
3.2 Signing and verification of a signature
Given a message M , private key k and its associated public key A, the following steps are
taken to create a signature:
H(k) = (h0, h1, ..., h511 | [
1103,
25898,
1104,
150,
1154,
138,
1105,
155,
119,
3969,
164,
1275,
166,
1111,
170,
17213,
6145,
1104,
1103,
5092,
1105,
19903,
14095,
1104,
1142,
25898,
119,
128,
119,
125,
140,
23225,
1158,
1103,
13618,
10873,
140,
23225,
1158,
1110,
1694,
1113,
1103,
13618,
10873,
1606,
170,
1344,
118,
2099,
7249,
164,
1492,
166,
126,
1104,
1103,
9314,
14962,
10005,
1158,
9932,
164,
1489,
166,
119,
1130,
1142,
1344,
118,
2099,
7249,
117,
13687,
1132,
1687,
1118,
4006,
15029,
1115,
1132,
4160,
1105,
1173,
9147,
1103,
13687,
117,
23172,
1103,
8649,
15213,
1206,
2114,
1104,
15029,
1115,
1132,
1160,
118,
6974,
1116,
1283,
1121,
1296,
1168,
119,
27524,
25428,
1104,
1103,
9932,
1132,
1112,
3226,
119,
1249,
22369,
170,
10873,
144,
1104,
5756,
159,
117,
1187,
7521,
142,
1206,
5756,
1132,
3393,
1216,
1115,
1126,
2652,
1110,
1687,
1191,
1103,
7584,
1104,
1103,
14352,
1174,
2860,
16845,
113,
1267,
4841,
25461,
128,
119,
123,
131,
1109,
1149,
13255,
8952,
114,
1206,
1103,
5756,
1110,
1166,
170,
3073,
2007,
24191,
1181,
11810,
1104,
122,
117,
1288,
161,
15577,
119,
140,
23225,
1158,
1104,
5756,
1107,
1103,
13618,
10873,
144,
1110,
1694,
1118,
4072,
8649,
15213,
118,
1359,
10005,
1158,
117,
1134,
8468,
21977,
6859,
3052,
13687,
117,
10960,
1116,
117,
1105,
1149,
12996,
1107,
1103,
10873,
119,
1109,
8649,
126,
17439,
1204,
1643,
131,
120,
120,
173,
1830,
118,
1856,
119,
179,
1643,
1179,
119,
8916,
120,
21357,
1306,
10973,
17175,
120,
1509,
120,
10830,
120,
141,
1545,
118,
123,
119,
185,
1181,
2087,
8500,
2724,
1104,
4335,
8413,
131,
120,
120,
173,
1830,
118,
1856,
119,
179,
1643,
1179,
119,
8916,
120,
21357,
1306,
10973,
17175,
120,
1509,
120,
10830,
120,
141,
1545,
118,
123,
119,
185,
1181,
2087,
15213,
1206,
1160,
5756,
190,
1105,
191,
1107,
1103,
13618,
10873,
117,
436,
113,
190,
117,
191,
114,
117,
1110,
10056,
1112,
3226,
131,
436,
113,
190,
117,
191,
114,
134,
197,
396,
113,
190,
114,
858,
396,
113,
191,
114,
197,
854,
197,
396,
113,
190,
114,
197,
197,
396,
113,
191,
114,
197,
117,
113,
1406,
114,
1187,
197,
119,
197,
16699,
1383,
15058,
1785,
1105,
396,
1110,
1103,
1383,
1104,
8649,
1193,
3387,
5756,
113,
21783,
1104,
2191,
114,
117,
3393,
1112,
131,
396,
113,
190,
114,
134,
196,
191,
850,
159,
197,
196,
190,
117,
191,
198,
850,
142,
198,
859,
196,
190,
198,
119,
113,
1626,
114,
151,
1110,
1103,
1383,
1104,
8649,
1193,
3387,
5756,
1115,
1138,
8649,
15213,
1114,
1126,
3300,
1166,
170,
3073,
118,
3552,
11810,
117,
131,
151,
113,
190,
114,
134,
196,
191,
850,
396,
113,
190,
114,
197,
436,
113,
190,
117,
191,
114,
864,
198,
119,
113,
1659,
114,
15052,
15029,
1132,
1215,
1111,
185,
15435,
1916,
1105,
9147,
13687,
1105,
1132,
3393,
1112,
3226,
131,
148,
117,
216,
113,
190,
114,
100,
197,
151,
113,
190,
114,
197,
864,
216,
113,
1695,
114,
1187,
216,
1110,
1103,
5867,
1295,
1104,
174,
3491,
27599,
12179,
5756,
1115,
1126,
3300,
1538,
1138,
1106,
1129,
1737,
4160,
119,
1507,
10005,
1158
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"the",
"decomposition",
"of",
"M",
"into",
"A",
"and",
"R",
".",
"See",
"[",
"10",
"]",
"for",
"a",
"thorough",
"discussion",
"of",
"the",
"storage",
"and",
"computational",
"savings",
"of",
"this",
"decomposition",
".",
"7",
".",
"4",
"C",
"##luster",
"##ing",
"the",
"transaction",
"graph",
"C",
"##luster",
"##ing",
"is",
"done",
"on",
"the",
"transaction",
"graph",
"using",
"a",
"high",
"-",
"performance",
"implementation",
"[",
"13",
"]",
"5",
"of",
"the",
"SC",
"##AN",
"cluster",
"##ing",
"algorithm",
"[",
"14",
"]",
".",
"In",
"this",
"high",
"-",
"performance",
"implementation",
",",
"clusters",
"are",
"created",
"by",
"finding",
"nodes",
"that",
"are",
"core",
"and",
"then",
"expanding",
"the",
"clusters",
",",
"calculating",
"the",
"structural",
"similarity",
"between",
"groups",
"of",
"nodes",
"that",
"are",
"two",
"-",
"hop",
"##s",
"away",
"from",
"each",
"other",
".",
"Det",
"##ails",
"of",
"the",
"algorithm",
"are",
"as",
"follows",
".",
"As",
"##sume",
"a",
"graph",
"G",
"of",
"accounts",
"V",
",",
"where",
"edges",
"E",
"between",
"accounts",
"are",
"defined",
"such",
"that",
"an",
"edge",
"is",
"created",
"if",
"the",
"sum",
"of",
"the",
"decay",
"##ed",
"value",
"transfers",
"(",
"see",
"sub",
"##section",
"7",
".",
"2",
":",
"The",
"out",
"##link",
"matrix",
")",
"between",
"the",
"accounts",
"is",
"over",
"a",
"pre",
"##de",
"##fine",
"##d",
"threshold",
"of",
"1",
",",
"000",
"X",
"##EM",
".",
"C",
"##luster",
"##ing",
"of",
"accounts",
"in",
"the",
"transaction",
"graph",
"G",
"is",
"done",
"by",
"performing",
"structural",
"similarity",
"-",
"based",
"cluster",
"##ing",
",",
"which",
"el",
"##uc",
"##ida",
"##tes",
"clusters",
",",
"hub",
"##s",
",",
"and",
"out",
"##liers",
"in",
"the",
"graph",
".",
"The",
"structural",
"5",
"##ht",
"##t",
"##p",
":",
"/",
"/",
"d",
"##b",
"-",
"event",
".",
"j",
"##p",
"##n",
".",
"org",
"/",
"dei",
"##m",
"##20",
"##14",
"/",
"final",
"/",
"proceedings",
"/",
"D",
"##6",
"-",
"2",
".",
"p",
"##d",
"##f",
"Page",
"32",
"of",
"54",
"http",
":",
"/",
"/",
"d",
"##b",
"-",
"event",
".",
"j",
"##p",
"##n",
".",
"org",
"/",
"dei",
"##m",
"##20",
"##14",
"/",
"final",
"/",
"proceedings",
"/",
"D",
"##6",
"-",
"2",
".",
"p",
"##d",
"##f",
"similarity",
"between",
"two",
"accounts",
"u",
"and",
"v",
"in",
"the",
"transaction",
"graph",
",",
"Ο",
"(",
"u",
",",
"v",
")",
",",
"is",
"calculated",
"as",
"follows",
":",
"Ο",
"(",
"u",
",",
"v",
")",
"=",
"|",
"Ξ",
"(",
"u",
")",
"β©",
"Ξ",
"(",
"v",
")",
"|",
"β",
"|",
"Ξ",
"(",
"u",
")",
"|",
"|",
"Ξ",
"(",
"v",
")",
"|",
",",
"(",
"20",
")",
"where",
"|",
".",
"|",
"denotes",
"set",
"cardinal",
"##ity",
"and",
"Ξ",
"is",
"the",
"set",
"of",
"structural",
"##ly",
"connected",
"accounts",
"(",
"inclusive",
"of",
"self",
")",
",",
"defined",
"as",
":",
"Ξ",
"(",
"u",
")",
"=",
"{",
"v",
"β",
"V",
"|",
"{",
"u",
",",
"v",
"}",
"β",
"E",
"}",
"βͺ",
"{",
"u",
"}",
".",
"(",
"21",
")",
"N",
"is",
"the",
"set",
"of",
"structural",
"##ly",
"connected",
"accounts",
"that",
"have",
"structural",
"similarity",
"with",
"an",
"account",
"over",
"a",
"pre",
"-",
"determined",
"threshold",
",",
":",
"N",
"(",
"u",
")",
"=",
"{",
"v",
"β",
"Ξ",
"(",
"u",
")",
"|",
"Ο",
"(",
"u",
",",
"v",
")",
"β₯",
"}",
".",
"(",
"22",
")",
"Core",
"nodes",
"are",
"used",
"for",
"p",
"##ivo",
"##ting",
"and",
"expanding",
"clusters",
"and",
"are",
"defined",
"as",
"follows",
":",
"K",
",",
"Β΅",
"(",
"u",
")",
"[UNK]",
"|",
"N",
"(",
"u",
")",
"|",
"β₯",
"Β΅",
"(",
"23",
")",
"where",
"Β΅",
"is",
"the",
"minimum",
"number",
"of",
"e",
"##ps",
"##ilon",
"neighbor",
"accounts",
"that",
"an",
"account",
"must",
"have",
"to",
"be",
"considered",
"core",
".",
"During",
"cluster",
"##ing"
] | NEM White paper | 664 |
) (4)
r = H(h256, ..., h511,M) where the comma means concatenation. (5)
R = rB (6)
S = (r +H(R,A,M)a)mod q (7)
Then (R, S) is the signature for the message M under the private key k. Note that
only signatures where S < q and S > 0 are considered as valid to prevent the problem
of signature malleability.
To verify the signature (R, S) for the given message M and public key A one checks
S < q and S > 0 and then calculates
RΜ = SB βH(R,A,M)A
and verifies that
RΜ = R (8)
If S was computed as shown in (7) | [
117,
13687,
1132,
8663,
113,
185,
15435,
1906,
114,
1213,
4160,
5756,
119,
1109,
3288,
1484,
1104,
1103,
10005,
1132,
1103,
1484,
1104,
151,
119,
1188,
2086,
1115,
216,
7451,
1103,
10471,
1936,
2060,
1104,
170,
10005,
119,
1130,
26546,
2107,
117,
216,
1110,
125,
1105,
1110,
121,
119,
124,
119,
1760,
3300,
191,
1144,
2904,
2401,
2519,
6328,
117,
190,
128,
28740,
117,
216,
191,
117,
1114,
3300,
190,
1111,
170,
1549,
1105,
216,
117,
1191,
190,
1110,
4160,
1105,
191,
1110,
170,
1420,
1104,
151,
113,
190,
114,
131,
190,
128,
28740,
117,
216,
191,
100,
148,
117,
216,
113,
190,
114,
856,
191,
850,
151,
113,
190,
114,
119,
113,
1572,
114,
1130,
1103,
9314,
14962,
9932,
117,
5756,
1115,
1132,
4160,
1132,
1383,
1112,
185,
15435,
2145,
1105,
1173,
13687,
1132,
3631,
1118,
1259,
5756,
1114,
2904,
2401,
2519,
6328,
113,
142,
13284,
2116,
1572,
131,
140,
23225,
118,
16664,
1103,
13618,
10873,
114,
119,
1188,
5315,
12783,
1103,
8649,
15213,
1114,
1296,
12179,
1105,
1103,
11209,
112,
11209,
119,
1109,
4725,
1683,
1104,
9314,
14962,
1178,
2736,
1120,
1103,
185,
15435,
1204,
5756,
1105,
5756,
1115,
1132,
1160,
118,
6974,
1116,
1283,
1121,
1103,
185,
15435,
1204,
5756,
119,
138,
14566,
17430,
1160,
118,
6974,
1116,
1283,
1121,
3300,
190,
117,
145,
113,
190,
114,
117,
1132,
3393,
1112,
3226,
131,
145,
113,
190,
114,
134,
196,
191,
850,
159,
197,
113,
190,
117,
191,
114,
120,
850,
142,
856,
113,
191,
117,
192,
114,
850,
142,
114,
198,
117,
113,
1512,
114,
8500,
3081,
1104,
4335,
1187,
3300,
192,
1110,
1126,
3300,
117,
1216,
1115,
192,
850,
151,
113,
190,
114,
165,
196,
190,
198,
119,
1370,
1296,
4160,
3300,
1115,
1110,
1160,
118,
6974,
1116,
1283,
1121,
1103,
185,
15435,
1204,
117,
170,
1207,
10005,
1110,
6455,
1105,
185,
15435,
1906,
1213,
1122,
119,
1398,
1104,
1103,
4160,
3300,
112,
188,
174,
3491,
27599,
11209,
113,
151,
114,
1132,
1896,
1106,
1103,
1207,
10005,
119,
1332,
12783,
1103,
5756,
1115,
1132,
1160,
118,
6974,
1116,
1283,
117,
5756,
1114,
2904,
2401,
2519,
6328,
1121,
1103,
185,
15435,
1906,
14372,
1132,
2856,
1121,
1103,
19218,
119,
1332,
9147,
1103,
1160,
118,
6974,
1116,
1283,
5756,
117,
1103,
5756,
1132,
14659,
117,
1216,
1115,
131,
145,
113,
8362,
114,
134,
196,
191,
850,
159,
197,
113,
190,
117,
191,
114,
120,
850,
142,
856,
113,
191,
117,
192,
114,
850,
142,
856,
191,
120,
850,
100,
178,
134,
121,
151,
113,
190,
1182,
114,
859,
3048,
113,
190,
1182,
114,
198,
119,
113,
1744,
114,
1258,
1155,
5756,
1107,
1103,
10873,
1138,
1151,
14659,
117,
1155,
15029,
1132,
17689,
119,
1409,
1126,
3300,
7017,
1106,
2967,
13687,
117,
1173,
1343,
13687,
1132,
4564,
119,
13611,
117,
1251,
3300,
1115,
1110,
1136,
1107,
170,
10005,
1110,
3597,
1112,
170,
10960,
1191,
1122,
8200,
1160,
1137,
1167,
13687,
1137,
1112,
1126,
1149,
9888,
1191,
1122,
1674,
1136,
119,
1109,
1329,
1104,
1103,
1160,
118,
6974,
1283,
15029,
1106,
7380,
1103,
13687,
13822,
1103,
3254,
19675,
2616,
1104
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
",",
"clusters",
"are",
"centered",
"(",
"p",
"##ivo",
"##ted",
")",
"around",
"core",
"accounts",
".",
"The",
"initial",
"members",
"of",
"the",
"cluster",
"are",
"the",
"members",
"of",
"N",
".",
"This",
"means",
"that",
"Β΅",
"controls",
"the",
"smallest",
"possible",
"size",
"of",
"a",
"cluster",
".",
"In",
"NE",
"##M",
",",
"Β΅",
"is",
"4",
"and",
"is",
"0",
".",
"3",
".",
"An",
"account",
"v",
"has",
"direct",
"structure",
"reach",
"##ability",
",",
"u",
"7",
"##β",
",",
"Β΅",
"v",
",",
"with",
"account",
"u",
"for",
"a",
"given",
"and",
"Β΅",
",",
"if",
"u",
"is",
"core",
"and",
"v",
"is",
"a",
"member",
"of",
"N",
"(",
"u",
")",
":",
"u",
"7",
"##β",
",",
"Β΅",
"v",
"[UNK]",
"K",
",",
"Β΅",
"(",
"u",
")",
"β§",
"v",
"β",
"N",
"(",
"u",
")",
".",
"(",
"24",
")",
"In",
"the",
"SC",
"##AN",
"algorithm",
",",
"accounts",
"that",
"are",
"core",
"are",
"set",
"as",
"p",
"##ivo",
"##ts",
"and",
"then",
"clusters",
"are",
"expanded",
"by",
"including",
"accounts",
"with",
"direct",
"structure",
"reach",
"##ability",
"(",
"E",
"##qua",
"##tion",
"24",
":",
"C",
"##luster",
"-",
"ing",
"the",
"transaction",
"graph",
")",
".",
"This",
"requires",
"computing",
"the",
"structural",
"similarity",
"with",
"each",
"neighbor",
"and",
"the",
"neighbors",
"'",
"neighbors",
".",
"The",
"improved",
"version",
"of",
"SC",
"##AN",
"only",
"looks",
"at",
"the",
"p",
"##ivo",
"##t",
"accounts",
"and",
"accounts",
"that",
"are",
"two",
"-",
"hop",
"##s",
"away",
"from",
"the",
"p",
"##ivo",
"##t",
"accounts",
".",
"A",
"##cco",
"##unts",
"two",
"-",
"hop",
"##s",
"away",
"from",
"account",
"u",
",",
"H",
"(",
"u",
")",
",",
"are",
"defined",
"as",
"follows",
":",
"H",
"(",
"u",
")",
"=",
"{",
"v",
"β",
"V",
"|",
"(",
"u",
",",
"v",
")",
"/",
"β",
"E",
"β§",
"(",
"v",
",",
"w",
")",
"β",
"E",
")",
"}",
",",
"(",
"25",
")",
"Page",
"33",
"of",
"54",
"where",
"account",
"w",
"is",
"an",
"account",
",",
"such",
"that",
"w",
"β",
"N",
"(",
"u",
")",
"\\",
"{",
"u",
"}",
".",
"For",
"each",
"core",
"account",
"that",
"is",
"two",
"-",
"hop",
"##s",
"away",
"from",
"the",
"p",
"##ivo",
"##t",
",",
"a",
"new",
"cluster",
"is",
"generated",
"and",
"p",
"##ivo",
"##ted",
"around",
"it",
".",
"All",
"of",
"the",
"core",
"account",
"'",
"s",
"e",
"##ps",
"##ilon",
"neighbors",
"(",
"N",
")",
"are",
"added",
"to",
"the",
"new",
"cluster",
".",
"When",
"computing",
"the",
"accounts",
"that",
"are",
"two",
"-",
"hop",
"##s",
"away",
",",
"accounts",
"with",
"direct",
"structure",
"reach",
"##ability",
"from",
"the",
"p",
"##ivo",
"##ted",
"node",
"are",
"removed",
"from",
"the",
"calculation",
".",
"When",
"expanding",
"the",
"two",
"-",
"hop",
"##s",
"away",
"accounts",
",",
"the",
"accounts",
"are",
"processed",
",",
"such",
"that",
":",
"H",
"(",
"un",
")",
"=",
"{",
"v",
"β",
"V",
"|",
"(",
"u",
",",
"v",
")",
"/",
"β",
"E",
"β§",
"(",
"v",
",",
"w",
")",
"β",
"E",
"β§",
"v",
"/",
"β",
"[UNK]",
"i",
"=",
"0",
"N",
"(",
"u",
"##i",
")",
"βͺ",
"##H",
"(",
"u",
"##i",
")",
"}",
".",
"(",
"26",
")",
"After",
"all",
"accounts",
"in",
"the",
"graph",
"have",
"been",
"processed",
",",
"all",
"nodes",
"are",
"analyzed",
".",
"If",
"an",
"account",
"belongs",
"to",
"multiple",
"clusters",
",",
"then",
"those",
"clusters",
"are",
"merged",
".",
"Afterwards",
",",
"any",
"account",
"that",
"is",
"not",
"in",
"a",
"cluster",
"is",
"marked",
"as",
"a",
"hub",
"if",
"it",
"connects",
"two",
"or",
"more",
"clusters",
"or",
"as",
"an",
"out",
"##lier",
"if",
"it",
"does",
"not",
".",
"The",
"use",
"of",
"the",
"two",
"-",
"hop",
"away",
"nodes",
"to",
"expand",
"the",
"clusters",
"reduces",
"the",
"com",
"##putation",
"cost",
"of"
] | NEM White paper | 665 |
then
SB = rB + (H(R,A,M)a)B = R +H(R,A,M)A
so (8) will hold.
3.3 Encoding and decoding messages
NEM uses Bouncy Castle's AES block cipher implementation in CBC mode4 to encrypt
and decrypt messages.
If Alice has the private key kA and wants to encrypt a message for Bob who has the
public key AB (with corresponding group element AB) then the shared secret used when
setting up the cipher is calculated as follows:
aA is computed from kA according to (2)
salt = 32 random bytes
G = aAAB
shared secret = | [
10005,
1158,
1272,
1103,
19218,
1104,
8649,
15213,
436,
1110,
1103,
3345,
2556,
1226,
1104,
1103,
9932,
119,
1109,
3254,
18505,
13687,
1132,
1145,
1215,
1106,
4959,
1103,
3001,
1107,
1103,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
9455,
118,
1634,
10013,
8952,
117,
1112,
1292,
13687,
1132,
4702,
1104,
1103,
2212,
2423,
1260,
8178,
5674,
17272,
2731,
1104,
1103,
13618,
10873,
119,
128,
119,
126,
11917,
21608,
1916,
146,
24729,
16242,
3633,
18417,
1116,
1109,
4495,
2794,
117,
441,
117,
1110,
10056,
1112,
3226,
131,
441,
134,
113,
2999,
3708,
1475,
113,
12477,
1775,
113,
121,
117,
430,
116,
436,
12821,
114,
114,
116,
100,
114,
440,
117,
113,
1765,
114,
1187,
131,
2999,
3708,
1475,
113,
191,
114,
1110,
131,
191,
785,
191,
785,
430,
1110,
1103,
21531,
1174,
2971,
1104,
161,
15577,
436,
1110,
1103,
20167,
117,
5795,
1149,
13255,
1158,
161,
15577,
100,
1110,
1103,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
164,
1275,
166,
2794,
440,
1110,
170,
2841,
1158,
9479,
1115,
10500,
1103,
8649,
22411,
1104,
1103,
10873,
192,
1186,
117,
192,
1182,
1132,
6736,
4836,
1116,
8500,
3236,
1104,
4335,
440,
10500,
1103,
22411,
1104,
1103,
10873,
1105,
27043,
170,
2299,
2841,
1106,
15029,
1115,
1132,
1484,
1104,
13687,
117,
1897,
1190,
1149,
12996,
1137,
10960,
1116,
119,
3929,
12996,
1105,
10960,
1116,
1132,
20167,
1120,
121,
119,
130,
1104,
1147,
2794,
117,
6142,
15029,
1115,
1132,
1107,
13687,
1132,
20167,
1120,
122,
119,
121,
119,
1130,
26546,
2107,
117,
192,
1186,
1110,
122,
119,
1512,
1105,
192,
1182,
1110,
121,
119,
15118,
1559,
119,
5055,
1179,
1487,
117,
1103,
1869,
1164,
21531,
1174,
5233,
117,
1850,
161,
15577,
117,
1105,
13618,
10873,
118,
22411,
1532,
1103,
3142,
1111,
1119,
26900,
10540,
1104,
1103,
4495,
1104,
5756,
1107,
1103,
26546,
2107,
4190,
119,
7282,
117,
1290,
4495,
2834,
1129,
170,
26281,
2875,
22190,
5264,
22061,
1137,
1342,
1181,
113,
1267,
4841,
25461,
128,
119,
127,
131,
15598,
1106,
2268,
9717,
6856,
114,
117,
4495,
7432,
1132,
5616,
1111,
4998,
1168,
1190,
1198,
3510,
4129,
10923,
119,
1370,
1859,
117,
1152,
1169,
1129,
9829,
1112,
170,
1532,
1104,
5244,
119,
2279,
1155,
4495,
7432,
7584,
1106,
11721,
117,
1152,
4248,
170,
10996,
11978,
1115,
1169,
1129,
1215,
1111,
4998,
1216,
1112,
6612,
1137,
10878,
22620,
1306,
119,
1188,
3643,
1256,
12631,
5681,
1106,
12254,
1114,
1296,
1168,
1272,
1122,
1110,
1136,
1936,
1111,
1234,
1106,
4361,
1654,
1118,
3780,
1242,
14420,
2285,
17409,
119,
128,
119,
127,
15598,
1106,
2268,
9717,
6856,
1109,
1329,
1104,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
117,
21531,
1174,
5233,
117,
14352,
1174,
1105,
20167,
1149,
13255,
1116,
117,
1105,
7584,
1918,
118,
189,
1988,
1106,
11721,
1107,
1103,
19218,
1104,
4495,
7432,
2228,
1103,
7432,
13676,
1106,
16439,
18776,
119,
128,
119,
127,
119,
122,
156,
1183,
15197,
13704,
1130,
8536,
118,
1106,
118,
8536,
2344,
117,
6088,
1183,
1137,
12477,
8031,
4179,
11659,
1169,
1510,
1675,
2310,
1112,
182,
4654,
118,
5580,
1513,
17409,
1107,
1546,
1106,
4361,
1654,
1104,
170,
1449,
164,
124,
166,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
5,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"cluster",
"##ing",
"because",
"the",
"calculation",
"of",
"structural",
"similarity",
"Ο",
"is",
"the",
"slow",
"##est",
"part",
"of",
"the",
"algorithm",
".",
"The",
"com",
"##puted",
"clusters",
"are",
"also",
"used",
"to",
"determine",
"the",
"levels",
"in",
"the",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"inter",
"-",
"level",
"proximity",
"matrix",
",",
"as",
"these",
"clusters",
"are",
"representative",
"of",
"the",
"nearly",
"completely",
"de",
"##com",
"##po",
"##sable",
"nature",
"of",
"the",
"transaction",
"graph",
".",
"7",
".",
"5",
"Cal",
"##cula",
"##ting",
"I",
"##mpo",
"##rta",
"##nce",
"Score",
"##s",
"The",
"importance",
"score",
",",
"Ο",
",",
"is",
"calculated",
"as",
"follows",
":",
"Ο",
"=",
"(",
"normal",
"##ize",
"##1",
"(",
"ma",
"##x",
"(",
"0",
",",
"Ξ½",
"+",
"Ο",
"##wo",
")",
")",
"+",
"[UNK]",
")",
"Ο",
",",
"(",
"27",
")",
"where",
":",
"normal",
"##ize",
"##1",
"(",
"v",
")",
"is",
":",
"v",
"β",
"v",
"β",
"Ξ½",
"is",
"the",
"vest",
"##ed",
"amount",
"of",
"X",
"##EM",
"Ο",
"is",
"the",
"weighted",
",",
"net",
"out",
"##link",
"##ing",
"X",
"##EM",
"[UNK]",
"is",
"the",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"[",
"10",
"]",
"score",
"Ο",
"is",
"a",
"weight",
"##ing",
"vector",
"that",
"considers",
"the",
"structural",
"topology",
"of",
"the",
"graph",
"w",
"##o",
",",
"w",
"##i",
"are",
"suitable",
"constant",
"##s",
"Page",
"34",
"of",
"54",
"Ο",
"considers",
"the",
"topology",
"of",
"the",
"graph",
"and",
"assigns",
"a",
"higher",
"weight",
"to",
"nodes",
"that",
"are",
"members",
"of",
"clusters",
",",
"rather",
"than",
"out",
"##liers",
"or",
"hub",
"##s",
".",
"Out",
"##liers",
"and",
"hub",
"##s",
"are",
"weighted",
"at",
"0",
".",
"9",
"of",
"their",
"score",
",",
"whereas",
"nodes",
"that",
"are",
"in",
"clusters",
"are",
"weighted",
"at",
"1",
".",
"0",
".",
"In",
"NE",
"##M",
",",
"w",
"##o",
"is",
"1",
".",
"25",
"and",
"w",
"##i",
"is",
"0",
".",
"133",
"##7",
".",
"Take",
"##n",
"together",
",",
"the",
"information",
"about",
"vest",
"##ed",
"balance",
",",
"sent",
"X",
"##EM",
",",
"and",
"transaction",
"graph",
"-",
"topology",
"form",
"the",
"basis",
"for",
"he",
"##uristic",
"evaluation",
"of",
"the",
"importance",
"of",
"accounts",
"in",
"the",
"NE",
"##M",
"economy",
".",
"Furthermore",
",",
"since",
"importance",
"cannot",
"be",
"a",
"##rb",
"##it",
"##rar",
"##ily",
"manipulated",
"or",
"game",
"##d",
"(",
"see",
"sub",
"##section",
"7",
".",
"6",
":",
"Resistance",
"to",
"Man",
"##ip",
"##ulation",
")",
",",
"importance",
"scores",
"are",
"useful",
"for",
"purposes",
"other",
"than",
"just",
"block",
"chain",
"consensus",
".",
"For",
"example",
",",
"they",
"can",
"be",
"interpreted",
"as",
"a",
"form",
"of",
"reputation",
".",
"Because",
"all",
"importance",
"scores",
"sum",
"to",
"unity",
",",
"they",
"represent",
"a",
"finite",
"quantity",
"that",
"can",
"be",
"used",
"for",
"purposes",
"such",
"as",
"voting",
"or",
"preventing",
"spa",
"##m",
".",
"This",
"allows",
"even",
"anonymous",
"actors",
"to",
"interact",
"with",
"each",
"other",
"because",
"it",
"is",
"not",
"possible",
"for",
"people",
"to",
"gain",
"control",
"by",
"creating",
"many",
"pseudonym",
"##ous",
"identities",
".",
"7",
".",
"6",
"Resistance",
"to",
"Man",
"##ip",
"##ulation",
"The",
"use",
"of",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
",",
"vest",
"##ed",
"balance",
",",
"decay",
"##ed",
"and",
"weighted",
"out",
"##link",
"##s",
",",
"and",
"sum",
"##ma",
"-",
"t",
"##ion",
"to",
"unity",
"in",
"the",
"calculation",
"of",
"importance",
"scores",
"makes",
"the",
"scores",
"resistant",
"to",
"arbitrary",
"manipulation",
".",
"7",
".",
"6",
".",
"1",
"S",
"##y",
"##bil",
"Attack",
"In",
"peer",
"-",
"to",
"-",
"peer",
"systems",
",",
"fault",
"##y",
"or",
"ma",
"##lic",
"##ious",
"entities",
"can",
"often",
"present",
"themselves",
"as",
"m",
"##ul",
"-",
"tip",
"##le",
"identities",
"in",
"order",
"to",
"gain",
"control",
"of",
"a",
"system",
"[",
"3",
"]",
"."
] | NEM White paper | 666 |
HΜ(G Y salt)
4http://en.wikipedia.org/wiki/Block_cipher_mode_of_operation#CBC
Page 8 of 54
http://en.wikipedia.org/wiki/Block_cipher_mode_of_operation#CBC
where HΜ is the 256-bit SHA3 hash function.
Another 16 random bytes are used as IV data. Thus, the encrypted message payload
consists of
1. the salt
2. the IV data
3. the encrypted message block
Decryption works in a similar manner. Bob has to know Alice's public key AA (and his
own private key kB) and the salt to derive the shared secret:
aB | [
1188,
1110,
1270,
170,
156,
1183,
15197,
2035,
119,
1130,
26546,
2107,
117,
1175,
1110,
170,
2798,
10703,
1111,
25039,
5511,
1272,
15390,
1468,
3531,
9942,
113,
1267,
2237,
4841,
25461,
126,
119,
124,
131,
8093,
3707,
114,
117,
1105,
5756,
1114,
2299,
4495,
7432,
1138,
2299,
5250,
2822,
15951,
1104,
25039,
170,
3510,
119,
1249,
170,
1871,
117,
19450,
1132,
2637,
1106,
1129,
3023,
13241,
1106,
2661,
156,
1183,
15197,
3690,
119,
156,
1183,
15197,
118,
1947,
3690,
1127,
1737,
1165,
13795,
1103,
18959,
2240,
9932,
119,
1109,
7991,
1104,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
117,
21531,
1174,
5233,
1116,
117,
1105,
5795,
14352,
1158,
1149,
13255,
17981,
2228,
1103,
4495,
2794,
19218,
13676,
1106,
156,
1183,
15197,
3690,
119,
1556,
4161,
1106,
1103,
4495,
2794,
19218,
117,
1199,
1104,
1103,
3209,
21118,
1111,
156,
1183,
15197,
19450,
1511,
131,
794,
3300,
15601,
1105,
14715,
11179,
1158,
1621,
3325,
5756,
1106,
14112,
1103,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
2794,
794,
3300,
15601,
1105,
14715,
11179,
1158,
1114,
7091,
5756,
8500,
2588,
1104,
4335,
794,
5416,
161,
15577,
1206,
170,
2528,
17430,
1107,
170,
7812,
1106,
14112,
1103,
1149,
13255,
2794,
113,
1267,
4841,
6385,
4832,
10294,
118,
189,
1988,
128,
119,
127,
119,
123,
131,
18086,
13704,
114,
1109,
1378,
26410,
13499,
6126,
1132,
1107,
1282,
1106,
4073,
156,
1183,
15197,
3690,
119,
794,
11696,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1939,
1104,
8500,
2069,
1389,
1377,
1112,
170,
10873,
118,
1103,
4474,
2941,
24034,
1766,
118,
15925,
2093,
12676,
1109,
9455,
118,
1634,
10013,
8952,
150,
1107,
1103,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
9932,
2228,
1103,
9932,
1167,
13676,
1106,
5088,
22620,
25004,
1190,
8500,
2069,
1389,
1377,
164,
1275,
166,
119,
1370,
5127,
5097,
117,
8500,
2069,
1389,
1377,
1110,
3337,
22620,
12140,
1181,
1118,
3780,
1242,
3911,
1115,
1155,
5088,
1106,
170,
1514,
1751,
117,
12477,
22152,
16877,
1103,
8500,
2069,
1389,
1377,
1104,
1103,
1514,
1751,
164,
125,
166,
119,
1109,
13022,
1106,
1142,
1107,
26546,
2107,
1156,
1129,
1111,
1126,
3300,
1106,
3952,
8924,
1104,
1157,
5233,
1106,
1168,
5756,
1105,
1173,
3952,
1155,
1103,
161,
15577,
1171,
1106,
1103,
1514,
3300,
119,
794,
159,
2556,
1103,
5233,
1104,
5756,
1166,
170,
18107,
6030,
1115,
1110,
186,
4746,
24936,
1193,
107,
3345,
107,
1111,
3612,
11336,
18276,
3384,
1317,
2277,
1106,
3106,
21531,
1107,
12712,
1116,
1154,
1126,
3300,
2228,
1122,
4763,
1106,
9703,
1415,
7919,
1104,
161,
15577,
1105,
1173,
2411,
2035,
1103,
2443,
119,
794,
11696,
5795,
118,
1149,
13255,
1158,
161,
15577,
1111,
1149,
13255,
2794,
19218,
1109,
5795,
118,
1149,
13255,
1158,
161,
15577,
1110,
1215,
1107,
1103,
4495,
2794,
19218,
119,
1247,
1110,
1185,
4316,
1107,
5416,
161,
15577,
1213,
1106,
1242,
5756,
1272,
1103,
1107,
13255,
1158,
161,
15577,
1850,
1106,
1103,
3300,
1209,
19722,
1149,
1103,
1149,
13255,
1158,
161,
15577,
119,
794,
13063,
4164,
1103,
2841,
1104,
1149,
13255,
1158,
2860,
16845,
3929,
13255,
1158,
2860,
16845,
1132,
14352,
1174,
1166,
1159,
119,
25929,
1158,
161,
15577,
1106,
1330
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
1,
2,
0,
0,
0,
0,
7,
8,
8,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
1,
2,
0,
0,
0,
0,
7,
8,
8,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"This",
"is",
"called",
"a",
"S",
"##y",
"##bil",
"attack",
".",
"In",
"NE",
"##M",
",",
"there",
"is",
"a",
"financial",
"reward",
"for",
"harvesting",
"blocks",
"because",
"harvest",
"##ers",
"receive",
"fees",
"(",
"see",
"section",
"sub",
"##section",
"5",
".",
"3",
":",
"Block",
"creation",
")",
",",
"and",
"accounts",
"with",
"higher",
"importance",
"scores",
"have",
"higher",
"pro",
"##ba",
"##bilities",
"of",
"harvesting",
"a",
"block",
".",
"As",
"a",
"result",
",",
"attackers",
"are",
"expected",
"to",
"be",
"highly",
"motivated",
"to",
"attempt",
"S",
"##y",
"##bil",
"attacks",
".",
"S",
"##y",
"##bil",
"-",
"style",
"attacks",
"were",
"considered",
"when",
"designing",
"the",
"Po",
"##I",
"algorithm",
".",
"The",
"usage",
"of",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
",",
"vest",
"##ed",
"balance",
"##s",
",",
"and",
"net",
"decay",
"##ing",
"out",
"##link",
"weights",
"makes",
"the",
"importance",
"score",
"calculation",
"resistant",
"to",
"S",
"##y",
"##bil",
"attacks",
".",
"With",
"respect",
"to",
"the",
"importance",
"score",
"calculation",
",",
"some",
"of",
"the",
"potential",
"vectors",
"for",
"S",
"##y",
"##bil",
"attackers",
"include",
":",
"β’",
"account",
"splitting",
"and",
"trans",
"##act",
"##ing",
"among",
"split",
"accounts",
"to",
"boost",
"the",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"score",
"β’",
"account",
"splitting",
"and",
"trans",
"##act",
"##ing",
"with",
"random",
"accounts",
"Page",
"35",
"of",
"54",
"β’",
"sending",
"X",
"##EM",
"between",
"a",
"##co",
"##unts",
"in",
"a",
"loop",
"to",
"boost",
"the",
"out",
"##link",
"score",
"(",
"see",
"sub",
"##su",
"##bs",
"##ec",
"-",
"t",
"##ion",
"7",
".",
"6",
".",
"2",
":",
"Loop",
"Attack",
")",
"The",
"following",
"mit",
"##iga",
"##tions",
"are",
"in",
"place",
"to",
"counter",
"S",
"##y",
"##bil",
"attacks",
".",
"β’",
"Use",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"instead",
"of",
"Page",
"##R",
"##an",
"##k",
"as",
"a",
"graph",
"-",
"the",
"##ore",
"##tic",
"imp",
"##or",
"-",
"tan",
"##ce",
"metric",
"The",
"inter",
"-",
"level",
"proximity",
"matrix",
"M",
"in",
"the",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"algorithm",
"makes",
"the",
"algorithm",
"more",
"resistant",
"to",
"link",
"spa",
"##mming",
"than",
"Page",
"##R",
"##an",
"##k",
"[",
"10",
"]",
".",
"For",
"web",
"pages",
",",
"Page",
"##R",
"##an",
"##k",
"is",
"commonly",
"spa",
"##mme",
"##d",
"by",
"creating",
"many",
"sites",
"that",
"all",
"link",
"to",
"a",
"main",
"site",
",",
"ma",
"##gni",
"##fying",
"the",
"Page",
"##R",
"##an",
"##k",
"of",
"the",
"main",
"site",
"[",
"4",
"]",
".",
"The",
"analog",
"to",
"this",
"in",
"NE",
"##M",
"would",
"be",
"for",
"an",
"account",
"to",
"send",
"portions",
"of",
"its",
"balance",
"to",
"other",
"accounts",
"and",
"then",
"send",
"all",
"the",
"X",
"##EM",
"back",
"to",
"the",
"main",
"account",
".",
"β’",
"V",
"##est",
"the",
"balance",
"of",
"accounts",
"over",
"a",
"temporal",
"schedule",
"that",
"is",
"q",
"##ual",
"##itative",
"##ly",
"\"",
"slow",
"\"",
"for",
"humans",
"Re",
"##qui",
"##ring",
"several",
"weeks",
"to",
"fully",
"vest",
"in",
"##flow",
"##s",
"into",
"an",
"account",
"makes",
"it",
"impossible",
"to",
"acquire",
"large",
"amounts",
"of",
"X",
"##EM",
"and",
"then",
"immediately",
"attack",
"the",
"network",
".",
"β’",
"Use",
"net",
"-",
"out",
"##link",
"##ing",
"X",
"##EM",
"for",
"out",
"##link",
"score",
"calculation",
"The",
"net",
"-",
"out",
"##link",
"##ing",
"X",
"##EM",
"is",
"used",
"in",
"the",
"importance",
"score",
"calculation",
".",
"There",
"is",
"no",
"advantage",
"in",
"sending",
"X",
"##EM",
"around",
"to",
"many",
"accounts",
"because",
"the",
"in",
"##link",
"##ing",
"X",
"##EM",
"sent",
"to",
"the",
"account",
"will",
"cancel",
"out",
"the",
"out",
"##link",
"##ing",
"X",
"##EM",
".",
"β’",
"Dec",
"##ay",
"the",
"weight",
"of",
"out",
"##link",
"##ing",
"value",
"transfers",
"Out",
"##link",
"##ing",
"value",
"transfers",
"are",
"decay",
"##ed",
"over",
"time",
".",
"Send",
"##ing",
"X",
"##EM",
"to",
"another"
] | NEM White paper | 667 |
HΜ(G Y salt)
4http://en.wikipedia.org/wiki/Block_cipher_mode_of_operation#CBC
Page 8 of 54
http://en.wikipedia.org/wiki/Block_cipher_mode_of_operation#CBC
where HΜ is the 256-bit SHA3 hash function.
Another 16 random bytes are used as IV data. Thus, the encrypted message payload
consists of
1. the salt
2. the IV data
3. the encrypted message block
Decryption works in a similar manner. Bob has to know Alice's public key AA (and his
own private key kB) and the salt to derive the shared secret:
aB | [
1188,
1110,
1270,
170,
156,
1183,
15197,
2035,
119,
1130,
26546,
2107,
117,
1175,
1110,
170,
2798,
10703,
1111,
25039,
5511,
1272,
15390,
1468,
3531,
9942,
113,
1267,
2237,
4841,
25461,
126,
119,
124,
131,
8093,
3707,
114,
117,
1105,
5756,
1114,
2299,
4495,
7432,
1138,
2299,
5250,
2822,
15951,
1104,
25039,
170,
3510,
119,
1249,
170,
1871,
117,
19450,
1132,
2637,
1106,
1129,
3023,
13241,
1106,
2661,
156,
1183,
15197,
3690,
119,
156,
1183,
15197,
118,
1947,
3690,
1127,
1737,
1165,
13795,
1103,
18959,
2240,
9932,
119,
1109,
7991,
1104,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
117,
21531,
1174,
5233,
1116,
117,
1105,
5795,
14352,
1158,
1149,
13255,
17981,
2228,
1103,
4495,
2794,
19218,
13676,
1106,
156,
1183,
15197,
3690,
119,
1556,
4161,
1106,
1103,
4495,
2794,
19218,
117,
1199,
1104,
1103,
3209,
21118,
1111,
156,
1183,
15197,
19450,
1511,
131,
794,
3300,
15601,
1105,
14715,
11179,
1158,
1621,
3325,
5756,
1106,
14112,
1103,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
2794,
794,
3300,
15601,
1105,
14715,
11179,
1158,
1114,
7091,
5756,
8500,
2588,
1104,
4335,
794,
5416,
161,
15577,
1206,
170,
2528,
17430,
1107,
170,
7812,
1106,
14112,
1103,
1149,
13255,
2794,
113,
1267,
4841,
6385,
4832,
10294,
118,
189,
1988,
128,
119,
127,
119,
123,
131,
18086,
13704,
114,
1109,
1378,
26410,
13499,
6126,
1132,
1107,
1282,
1106,
4073,
156,
1183,
15197,
3690,
119,
794,
11696,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
1939,
1104,
8500,
2069,
1389,
1377,
1112,
170,
10873,
118,
1103,
4474,
2941,
24034,
1766,
118,
15925,
2093,
12676,
1109,
9455,
118,
1634,
10013,
8952,
150,
1107,
1103,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
9932,
2228,
1103,
9932,
1167,
13676,
1106,
5088,
22620,
25004,
1190,
8500,
2069,
1389,
1377,
164,
1275,
166,
119,
1370,
5127,
5097,
117,
8500,
2069,
1389,
1377,
1110,
3337,
22620,
12140,
1181,
1118,
3780,
1242,
3911,
1115,
1155,
5088,
1106,
170,
1514,
1751,
117,
12477,
22152,
16877,
1103,
8500,
2069,
1389,
1377,
1104,
1103,
1514,
1751,
164,
125,
166,
119,
1109,
13022,
1106,
1142,
1107,
26546,
2107,
1156,
1129,
1111,
1126,
3300,
1106,
3952,
8924,
1104,
1157,
5233,
1106,
1168,
5756,
1105,
1173,
3952,
1155,
1103,
161,
15577,
1171,
1106,
1103,
1514,
3300,
119,
794,
159,
2556,
1103,
5233,
1104,
5756,
1166,
170,
18107,
6030,
1115,
1110,
186,
4746,
24936,
1193,
107,
3345,
107,
1111,
3612,
11336,
18276,
3384,
1317,
2277,
1106,
3106,
21531,
1107,
12712,
1116,
1154,
1126,
3300,
2228,
1122,
4763,
1106,
9703,
1415,
7919,
1104,
161,
15577,
1105,
1173,
2411,
2035,
1103,
2443,
119,
794,
11696,
5795,
118,
1149,
13255,
1158,
161,
15577,
1111,
1149,
13255,
2794,
19218,
1109,
5795,
118,
1149,
13255,
1158,
161,
15577,
1110,
1215,
1107,
1103,
4495,
2794,
19218,
119,
1247,
1110,
1185,
4316,
1107,
5416,
161,
15577,
1213,
1106,
1242,
5756,
1272,
1103,
1107,
13255,
1158,
161,
15577,
1850,
1106,
1103,
3300,
1209,
19722,
1149,
1103,
1149,
13255,
1158,
161,
15577,
119,
794,
13063,
4164,
1103,
2841,
1104,
1149,
13255,
1158,
2860,
16845,
3929,
13255,
1158,
2860,
16845,
1132,
14352,
1174,
1166,
1159,
119,
25929,
1158,
161,
15577,
1106,
1330
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"This",
"is",
"called",
"a",
"S",
"##y",
"##bil",
"attack",
".",
"In",
"NE",
"##M",
",",
"there",
"is",
"a",
"financial",
"reward",
"for",
"harvesting",
"blocks",
"because",
"harvest",
"##ers",
"receive",
"fees",
"(",
"see",
"section",
"sub",
"##section",
"5",
".",
"3",
":",
"Block",
"creation",
")",
",",
"and",
"accounts",
"with",
"higher",
"importance",
"scores",
"have",
"higher",
"pro",
"##ba",
"##bilities",
"of",
"harvesting",
"a",
"block",
".",
"As",
"a",
"result",
",",
"attackers",
"are",
"expected",
"to",
"be",
"highly",
"motivated",
"to",
"attempt",
"S",
"##y",
"##bil",
"attacks",
".",
"S",
"##y",
"##bil",
"-",
"style",
"attacks",
"were",
"considered",
"when",
"designing",
"the",
"Po",
"##I",
"algorithm",
".",
"The",
"usage",
"of",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
",",
"vest",
"##ed",
"balance",
"##s",
",",
"and",
"net",
"decay",
"##ing",
"out",
"##link",
"weights",
"makes",
"the",
"importance",
"score",
"calculation",
"resistant",
"to",
"S",
"##y",
"##bil",
"attacks",
".",
"With",
"respect",
"to",
"the",
"importance",
"score",
"calculation",
",",
"some",
"of",
"the",
"potential",
"vectors",
"for",
"S",
"##y",
"##bil",
"attackers",
"include",
":",
"β’",
"account",
"splitting",
"and",
"trans",
"##act",
"##ing",
"among",
"split",
"accounts",
"to",
"boost",
"the",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"score",
"β’",
"account",
"splitting",
"and",
"trans",
"##act",
"##ing",
"with",
"random",
"accounts",
"Page",
"35",
"of",
"54",
"β’",
"sending",
"X",
"##EM",
"between",
"a",
"##co",
"##unts",
"in",
"a",
"loop",
"to",
"boost",
"the",
"out",
"##link",
"score",
"(",
"see",
"sub",
"##su",
"##bs",
"##ec",
"-",
"t",
"##ion",
"7",
".",
"6",
".",
"2",
":",
"Loop",
"Attack",
")",
"The",
"following",
"mit",
"##iga",
"##tions",
"are",
"in",
"place",
"to",
"counter",
"S",
"##y",
"##bil",
"attacks",
".",
"β’",
"Use",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"instead",
"of",
"Page",
"##R",
"##an",
"##k",
"as",
"a",
"graph",
"-",
"the",
"##ore",
"##tic",
"imp",
"##or",
"-",
"tan",
"##ce",
"metric",
"The",
"inter",
"-",
"level",
"proximity",
"matrix",
"M",
"in",
"the",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"algorithm",
"makes",
"the",
"algorithm",
"more",
"resistant",
"to",
"link",
"spa",
"##mming",
"than",
"Page",
"##R",
"##an",
"##k",
"[",
"10",
"]",
".",
"For",
"web",
"pages",
",",
"Page",
"##R",
"##an",
"##k",
"is",
"commonly",
"spa",
"##mme",
"##d",
"by",
"creating",
"many",
"sites",
"that",
"all",
"link",
"to",
"a",
"main",
"site",
",",
"ma",
"##gni",
"##fying",
"the",
"Page",
"##R",
"##an",
"##k",
"of",
"the",
"main",
"site",
"[",
"4",
"]",
".",
"The",
"analog",
"to",
"this",
"in",
"NE",
"##M",
"would",
"be",
"for",
"an",
"account",
"to",
"send",
"portions",
"of",
"its",
"balance",
"to",
"other",
"accounts",
"and",
"then",
"send",
"all",
"the",
"X",
"##EM",
"back",
"to",
"the",
"main",
"account",
".",
"β’",
"V",
"##est",
"the",
"balance",
"of",
"accounts",
"over",
"a",
"temporal",
"schedule",
"that",
"is",
"q",
"##ual",
"##itative",
"##ly",
"\"",
"slow",
"\"",
"for",
"humans",
"Re",
"##qui",
"##ring",
"several",
"weeks",
"to",
"fully",
"vest",
"in",
"##flow",
"##s",
"into",
"an",
"account",
"makes",
"it",
"impossible",
"to",
"acquire",
"large",
"amounts",
"of",
"X",
"##EM",
"and",
"then",
"immediately",
"attack",
"the",
"network",
".",
"β’",
"Use",
"net",
"-",
"out",
"##link",
"##ing",
"X",
"##EM",
"for",
"out",
"##link",
"score",
"calculation",
"The",
"net",
"-",
"out",
"##link",
"##ing",
"X",
"##EM",
"is",
"used",
"in",
"the",
"importance",
"score",
"calculation",
".",
"There",
"is",
"no",
"advantage",
"in",
"sending",
"X",
"##EM",
"around",
"to",
"many",
"accounts",
"because",
"the",
"in",
"##link",
"##ing",
"X",
"##EM",
"sent",
"to",
"the",
"account",
"will",
"cancel",
"out",
"the",
"out",
"##link",
"##ing",
"X",
"##EM",
".",
"β’",
"Dec",
"##ay",
"the",
"weight",
"of",
"out",
"##link",
"##ing",
"value",
"transfers",
"Out",
"##link",
"##ing",
"value",
"transfers",
"are",
"decay",
"##ed",
"over",
"time",
".",
"Send",
"##ing",
"X",
"##EM",
"to",
"another"
] | NEM White paper | 668 |
is computed from kB according to (2)
G = aBAA
shared secret = HΜ(G Y salt)
Supplying the shared secret and the IV data to the cipher engine decrypts the encoded
message.
Page 9 of 54
4 Transactions
" To transact business with the girl who ran the gas-pump Dean merely threwon his T-shirt like a scarf and was curt and abrupt as usual and got back in
the car and off we roared again. "- Jack Kerouac
T
ransactions introduce dynamism into a cryptocurrency system. They are
the only way of altering the s | [
3300,
1209,
1178,
1660,
170,
5335,
14112,
1107,
1103,
4495,
2794,
119,
794,
14508,
3708,
4495,
7432,
1106,
7584,
1106,
11721,
1109,
3721,
1104,
1639,
6975,
1240,
4495,
2794,
1272,
1155,
7432,
7584,
1106,
11721,
119,
794,
11336,
15174,
170,
5867,
5233,
1104,
1275,
117,
1288,
21531,
1174,
161,
15577,
2320,
1111,
15390,
118,
16664,
11336,
18276,
3384,
1120,
1655,
1275,
117,
1288,
21531,
1174,
161,
15577,
1106,
15390,
8743,
22379,
1113,
1103,
1295,
1104,
5756,
1115,
1180,
10093,
1193,
1129,
2017,
1107,
156,
1183,
15197,
3690,
119,
794,
22964,
6787,
3860,
1353,
4718,
1111,
192,
1186,
1105,
192,
1182,
1188,
23613,
1115,
1103,
2026,
6552,
1104,
4495,
1110,
1103,
2971,
1104,
21531,
1174,
161,
15577,
117,
1134,
2834,
1129,
20903,
119,
5055,
1179,
1487,
117,
1292,
4073,
3263,
27523,
1294,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
13676,
1106,
156,
1183,
15197,
118,
1947,
3690,
119,
1706,
2774,
1142,
117,
1195,
1982,
14314,
1116,
1114,
1206,
122,
1105,
1275,
117,
1288,
1884,
2339,
21705,
156,
1183,
15197,
5756,
119,
15982,
1275,
2196,
1103,
2686,
1104,
1103,
14314,
1111,
124,
2975,
131,
8500,
3164,
1104,
4335,
794,
1884,
2339,
21705,
5756,
5416,
161,
15577,
1107,
170,
7812,
1106,
1296,
1168,
794,
1884,
2339,
21705,
5756,
1155,
5416,
161,
15577,
1106,
170,
1887,
117,
1884,
2339,
21705,
3300,
794,
1884,
2339,
21705,
5756,
5416,
161,
15577,
1106,
5756,
19729,
1249,
2482,
1275,
2196,
117,
1170,
5321,
170,
1353,
1295,
1104,
5756,
117,
170,
156,
1183,
15197,
19114,
1674,
1136,
4361,
1277,
4495,
1118,
5321,
1256,
4674,
1104,
2509,
5756,
119,
1966,
1103,
156,
1183,
15197,
19114,
12535,
1167,
4495,
1190,
1103,
7345,
2811,
117,
1103,
4361,
1110,
2609,
1105,
10350,
1118,
1103,
18959,
2240,
19218,
119,
1789,
5681,
1169,
14112,
1147,
4495,
1118,
15601,
1147,
5756,
1137,
1137,
5416,
14409,
1106,
1168,
5756,
1106,
27180,
2670,
3246,
119,
2279,
18959,
2240,
7432,
7584,
1106,
11721,
117,
1168,
12478,
5681,
1431,
1321,
1103,
1269,
3721,
119,
1188,
1156,
2612,
1103,
2637,
5257,
1106,
10489,
119,
22439,
1106,
18959,
2924,
5463,
117,
1103,
4316,
1115,
1169,
1129,
3388,
1118,
13926,
18959,
2240,
1110,
10298,
119,
1130,
18959,
2924,
117,
13418,
1150,
4417,
7623,
5463,
8172,
1138,
170,
1415,
4316,
1166,
1343,
1150,
1329,
1178,
3337,
1907,
1888,
4802,
119,
1249,
1104,
1142,
2269,
117,
1126,
4463,
2971,
1104,
1948,
1169,
4417,
1719,
113,
122,
114,
1160,
1888,
4802,
1114,
3490,
4645,
150,
16481,
1324,
120,
188,
1104,
5463,
1540,
1137,
113,
123,
114,
170,
7623,
15278,
9741,
2317,
1197,
1114,
4645,
117,
1288,
150,
16481,
1324,
120,
188,
119,
1109,
3719,
1206,
1103,
5463,
1540,
1104,
113,
122,
114,
1105,
113,
123,
114,
1110,
2324,
6087,
1775,
119,
1130,
18959,
2240,
117,
1496,
1106,
1103,
15651,
1104,
1103,
9932,
117,
1126,
2811,
6150,
13926,
1103,
1449,
1209,
1243,
1126,
4316,
1218,
1750,
1190,
1126,
1546,
1104,
10094,
119,
1130,
1168,
1734,
117,
18959,
2240,
13926,
1209,
1136,
1871,
1107,
170,
2418,
186,
4746,
24936,
4316,
1166,
5681,
1114,
1103,
1269,
5233,
1150,
1202,
1720,
119,
1370,
1103,
1692,
1187,
4013,
5756
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"account",
"will",
"only",
"give",
"a",
"temporary",
"boost",
"in",
"the",
"importance",
"score",
".",
"β’",
"Normal",
"##ize",
"importance",
"scores",
"to",
"sum",
"to",
"unity",
"The",
"actions",
"of",
"others",
"affect",
"your",
"importance",
"score",
"because",
"all",
"scores",
"sum",
"to",
"unity",
".",
"β’",
"Re",
"##quire",
"a",
"minimum",
"balance",
"of",
"10",
",",
"000",
"vest",
"##ed",
"X",
"##EM",
"required",
"for",
"harvest",
"-",
"ing",
"Re",
"##qui",
"##ring",
"at",
"least",
"10",
",",
"000",
"vest",
"##ed",
"X",
"##EM",
"to",
"harvest",
"creates",
"bounds",
"on",
"the",
"number",
"of",
"accounts",
"that",
"could",
"theoretical",
"##ly",
"be",
"involved",
"in",
"S",
"##y",
"##bil",
"attacks",
".",
"β’",
"Cho",
"##ose",
"relatively",
"small",
"values",
"for",
"w",
"##o",
"and",
"w",
"##i",
"This",
"ensures",
"that",
"the",
"largest",
"component",
"of",
"importance",
"is",
"the",
"amount",
"of",
"vest",
"##ed",
"X",
"##EM",
",",
"which",
"cannot",
"be",
"exploited",
".",
"Take",
"##n",
"together",
",",
"these",
"counter",
"##me",
"##asures",
"make",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
"resistant",
"to",
"S",
"##y",
"##bil",
"-",
"style",
"attacks",
".",
"To",
"test",
"this",
",",
"we",
"performed",
"simulation",
"##s",
"with",
"between",
"1",
"and",
"10",
",",
"000",
"co",
"##ll",
"##uding",
"S",
"##y",
"##bil",
"accounts",
".",
"Figure",
"10",
"shows",
"the",
"results",
"of",
"the",
"simulation",
"for",
"3",
"conditions",
":",
"Page",
"36",
"of",
"54",
"β’",
"co",
"##ll",
"##uding",
"accounts",
"sending",
"X",
"##EM",
"in",
"a",
"loop",
"to",
"each",
"other",
"β’",
"co",
"##ll",
"##uding",
"accounts",
"all",
"sending",
"X",
"##EM",
"to",
"a",
"common",
",",
"co",
"##ll",
"##uding",
"account",
"β’",
"co",
"##ll",
"##uding",
"accounts",
"sending",
"X",
"##EM",
"to",
"accounts",
"randomly",
"As",
"figure",
"10",
"shows",
",",
"after",
"adding",
"a",
"small",
"number",
"of",
"accounts",
",",
"a",
"S",
"##y",
"##bil",
"attacker",
"does",
"not",
"gain",
"much",
"importance",
"by",
"adding",
"even",
"thousands",
"of",
"additional",
"accounts",
".",
"Although",
"the",
"S",
"##y",
"##bil",
"attacker",
"gains",
"more",
"importance",
"than",
"the",
"honest",
"actor",
",",
"the",
"gain",
"is",
"limited",
"and",
"bounded",
"by",
"the",
"Po",
"##I",
"calculation",
".",
"Some",
"actors",
"can",
"boost",
"their",
"importance",
"by",
"splitting",
"their",
"accounts",
"or",
"or",
"sending",
"transactions",
"to",
"other",
"accounts",
"to",
"mimic",
"economic",
"activity",
".",
"Because",
"Po",
"##I",
"scores",
"sum",
"to",
"unity",
",",
"other",
"rational",
"actors",
"should",
"take",
"the",
"same",
"actions",
".",
"This",
"would",
"cause",
"the",
"expected",
"benefit",
"to",
"disappear",
".",
"Compared",
"to",
"Po",
"##W",
"mining",
",",
"the",
"advantage",
"that",
"can",
"be",
"gained",
"by",
"gaming",
"Po",
"##I",
"is",
"minimal",
".",
"In",
"Po",
"##W",
",",
"miners",
"who",
"buy",
"specialized",
"mining",
"hardware",
"have",
"a",
"large",
"advantage",
"over",
"those",
"who",
"use",
"only",
"commonly",
"available",
"video",
"cards",
".",
"As",
"of",
"this",
"writing",
",",
"an",
"equal",
"amount",
"of",
"money",
"can",
"buy",
"either",
"(",
"1",
")",
"two",
"video",
"cards",
"with",
"combined",
"800",
"M",
"##has",
"##h",
"/",
"s",
"of",
"mining",
"power",
"or",
"(",
"2",
")",
"a",
"specialized",
"AS",
"##IC",
"mine",
"##r",
"with",
"800",
",",
"000",
"M",
"##has",
"##h",
"/",
"s",
".",
"The",
"difference",
"between",
"the",
"mining",
"power",
"of",
"(",
"1",
")",
"and",
"(",
"2",
")",
"is",
"approximately",
"1000",
"##x",
".",
"In",
"Po",
"##I",
",",
"due",
"to",
"the",
"constraints",
"of",
"the",
"algorithm",
",",
"an",
"actor",
"perfectly",
"gaming",
"the",
"system",
"will",
"get",
"an",
"advantage",
"well",
"less",
"than",
"an",
"order",
"of",
"magnitude",
".",
"In",
"other",
"words",
",",
"Po",
"##I",
"gaming",
"will",
"not",
"result",
"in",
"a",
"significant",
"q",
"##ual",
"##itative",
"advantage",
"over",
"actors",
"with",
"the",
"same",
"balance",
"who",
"do",
"nothing",
".",
"For",
"the",
"case",
"where",
"controlled",
"accounts"
] | NEM White paper | 669 |
is computed from kB according to (2)
G = aBAA
shared secret = HΜ(G Y salt)
Supplying the shared secret and the IV data to the cipher engine decrypts the encoded
message.
Page 9 of 54
4 Transactions
" To transact business with the girl who ran the gas-pump Dean merely threwon his T-shirt like a scarf and was curt and abrupt as usual and got back in
the car and off we roared again. "- Jack Kerouac
T
ransactions introduce dynamism into a cryptocurrency system. They are
the only way of altering the s | [
3300,
1209,
1178,
1660,
170,
5335,
14112,
1107,
1103,
4495,
2794,
119,
794,
14508,
3708,
4495,
7432,
1106,
7584,
1106,
11721,
1109,
3721,
1104,
1639,
6975,
1240,
4495,
2794,
1272,
1155,
7432,
7584,
1106,
11721,
119,
794,
11336,
15174,
170,
5867,
5233,
1104,
1275,
117,
1288,
21531,
1174,
161,
15577,
2320,
1111,
15390,
118,
16664,
11336,
18276,
3384,
1120,
1655,
1275,
117,
1288,
21531,
1174,
161,
15577,
1106,
15390,
8743,
22379,
1113,
1103,
1295,
1104,
5756,
1115,
1180,
10093,
1193,
1129,
2017,
1107,
156,
1183,
15197,
3690,
119,
794,
22964,
6787,
3860,
1353,
4718,
1111,
192,
1186,
1105,
192,
1182,
1188,
23613,
1115,
1103,
2026,
6552,
1104,
4495,
1110,
1103,
2971,
1104,
21531,
1174,
161,
15577,
117,
1134,
2834,
1129,
20903,
119,
5055,
1179,
1487,
117,
1292,
4073,
3263,
27523,
1294,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
13676,
1106,
156,
1183,
15197,
118,
1947,
3690,
119,
1706,
2774,
1142,
117,
1195,
1982,
14314,
1116,
1114,
1206,
122,
1105,
1275,
117,
1288,
1884,
2339,
21705,
156,
1183,
15197,
5756,
119,
15982,
1275,
2196,
1103,
2686,
1104,
1103,
14314,
1111,
124,
2975,
131,
8500,
3164,
1104,
4335,
794,
1884,
2339,
21705,
5756,
5416,
161,
15577,
1107,
170,
7812,
1106,
1296,
1168,
794,
1884,
2339,
21705,
5756,
1155,
5416,
161,
15577,
1106,
170,
1887,
117,
1884,
2339,
21705,
3300,
794,
1884,
2339,
21705,
5756,
5416,
161,
15577,
1106,
5756,
19729,
1249,
2482,
1275,
2196,
117,
1170,
5321,
170,
1353,
1295,
1104,
5756,
117,
170,
156,
1183,
15197,
19114,
1674,
1136,
4361,
1277,
4495,
1118,
5321,
1256,
4674,
1104,
2509,
5756,
119,
1966,
1103,
156,
1183,
15197,
19114,
12535,
1167,
4495,
1190,
1103,
7345,
2811,
117,
1103,
4361,
1110,
2609,
1105,
10350,
1118,
1103,
18959,
2240,
19218,
119,
1789,
5681,
1169,
14112,
1147,
4495,
1118,
15601,
1147,
5756,
1137,
1137,
5416,
14409,
1106,
1168,
5756,
1106,
27180,
2670,
3246,
119,
2279,
18959,
2240,
7432,
7584,
1106,
11721,
117,
1168,
12478,
5681,
1431,
1321,
1103,
1269,
3721,
119,
1188,
1156,
2612,
1103,
2637,
5257,
1106,
10489,
119,
22439,
1106,
18959,
2924,
5463,
117,
1103,
4316,
1115,
1169,
1129,
3388,
1118,
13926,
18959,
2240,
1110,
10298,
119,
1130,
18959,
2924,
117,
13418,
1150,
4417,
7623,
5463,
8172,
1138,
170,
1415,
4316,
1166,
1343,
1150,
1329,
1178,
3337,
1907,
1888,
4802,
119,
1249,
1104,
1142,
2269,
117,
1126,
4463,
2971,
1104,
1948,
1169,
4417,
1719,
113,
122,
114,
1160,
1888,
4802,
1114,
3490,
4645,
150,
16481,
1324,
120,
188,
1104,
5463,
1540,
1137,
113,
123,
114,
170,
7623,
15278,
9741,
2317,
1197,
1114,
4645,
117,
1288,
150,
16481,
1324,
120,
188,
119,
1109,
3719,
1206,
1103,
5463,
1540,
1104,
113,
122,
114,
1105,
113,
123,
114,
1110,
2324,
6087,
1775,
119,
1130,
18959,
2240,
117,
1496,
1106,
1103,
15651,
1104,
1103,
9932,
117,
1126,
2811,
6150,
13926,
1103,
1449,
1209,
1243,
1126,
4316,
1218,
1750,
1190,
1126,
1546,
1104,
10094,
119,
1130,
1168,
1734,
117,
18959,
2240,
13926,
1209,
1136,
1871,
1107,
170,
2418,
186,
4746,
24936,
4316,
1166,
5681,
1114,
1103,
1269,
5233,
1150,
1202,
1720,
119,
1370,
1103,
1692,
1187,
4013,
5756
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"account",
"will",
"only",
"give",
"a",
"temporary",
"boost",
"in",
"the",
"importance",
"score",
".",
"β’",
"Normal",
"##ize",
"importance",
"scores",
"to",
"sum",
"to",
"unity",
"The",
"actions",
"of",
"others",
"affect",
"your",
"importance",
"score",
"because",
"all",
"scores",
"sum",
"to",
"unity",
".",
"β’",
"Re",
"##quire",
"a",
"minimum",
"balance",
"of",
"10",
",",
"000",
"vest",
"##ed",
"X",
"##EM",
"required",
"for",
"harvest",
"-",
"ing",
"Re",
"##qui",
"##ring",
"at",
"least",
"10",
",",
"000",
"vest",
"##ed",
"X",
"##EM",
"to",
"harvest",
"creates",
"bounds",
"on",
"the",
"number",
"of",
"accounts",
"that",
"could",
"theoretical",
"##ly",
"be",
"involved",
"in",
"S",
"##y",
"##bil",
"attacks",
".",
"β’",
"Cho",
"##ose",
"relatively",
"small",
"values",
"for",
"w",
"##o",
"and",
"w",
"##i",
"This",
"ensures",
"that",
"the",
"largest",
"component",
"of",
"importance",
"is",
"the",
"amount",
"of",
"vest",
"##ed",
"X",
"##EM",
",",
"which",
"cannot",
"be",
"exploited",
".",
"Take",
"##n",
"together",
",",
"these",
"counter",
"##me",
"##asures",
"make",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
"resistant",
"to",
"S",
"##y",
"##bil",
"-",
"style",
"attacks",
".",
"To",
"test",
"this",
",",
"we",
"performed",
"simulation",
"##s",
"with",
"between",
"1",
"and",
"10",
",",
"000",
"co",
"##ll",
"##uding",
"S",
"##y",
"##bil",
"accounts",
".",
"Figure",
"10",
"shows",
"the",
"results",
"of",
"the",
"simulation",
"for",
"3",
"conditions",
":",
"Page",
"36",
"of",
"54",
"β’",
"co",
"##ll",
"##uding",
"accounts",
"sending",
"X",
"##EM",
"in",
"a",
"loop",
"to",
"each",
"other",
"β’",
"co",
"##ll",
"##uding",
"accounts",
"all",
"sending",
"X",
"##EM",
"to",
"a",
"common",
",",
"co",
"##ll",
"##uding",
"account",
"β’",
"co",
"##ll",
"##uding",
"accounts",
"sending",
"X",
"##EM",
"to",
"accounts",
"randomly",
"As",
"figure",
"10",
"shows",
",",
"after",
"adding",
"a",
"small",
"number",
"of",
"accounts",
",",
"a",
"S",
"##y",
"##bil",
"attacker",
"does",
"not",
"gain",
"much",
"importance",
"by",
"adding",
"even",
"thousands",
"of",
"additional",
"accounts",
".",
"Although",
"the",
"S",
"##y",
"##bil",
"attacker",
"gains",
"more",
"importance",
"than",
"the",
"honest",
"actor",
",",
"the",
"gain",
"is",
"limited",
"and",
"bounded",
"by",
"the",
"Po",
"##I",
"calculation",
".",
"Some",
"actors",
"can",
"boost",
"their",
"importance",
"by",
"splitting",
"their",
"accounts",
"or",
"or",
"sending",
"transactions",
"to",
"other",
"accounts",
"to",
"mimic",
"economic",
"activity",
".",
"Because",
"Po",
"##I",
"scores",
"sum",
"to",
"unity",
",",
"other",
"rational",
"actors",
"should",
"take",
"the",
"same",
"actions",
".",
"This",
"would",
"cause",
"the",
"expected",
"benefit",
"to",
"disappear",
".",
"Compared",
"to",
"Po",
"##W",
"mining",
",",
"the",
"advantage",
"that",
"can",
"be",
"gained",
"by",
"gaming",
"Po",
"##I",
"is",
"minimal",
".",
"In",
"Po",
"##W",
",",
"miners",
"who",
"buy",
"specialized",
"mining",
"hardware",
"have",
"a",
"large",
"advantage",
"over",
"those",
"who",
"use",
"only",
"commonly",
"available",
"video",
"cards",
".",
"As",
"of",
"this",
"writing",
",",
"an",
"equal",
"amount",
"of",
"money",
"can",
"buy",
"either",
"(",
"1",
")",
"two",
"video",
"cards",
"with",
"combined",
"800",
"M",
"##has",
"##h",
"/",
"s",
"of",
"mining",
"power",
"or",
"(",
"2",
")",
"a",
"specialized",
"AS",
"##IC",
"mine",
"##r",
"with",
"800",
",",
"000",
"M",
"##has",
"##h",
"/",
"s",
".",
"The",
"difference",
"between",
"the",
"mining",
"power",
"of",
"(",
"1",
")",
"and",
"(",
"2",
")",
"is",
"approximately",
"1000",
"##x",
".",
"In",
"Po",
"##I",
",",
"due",
"to",
"the",
"constraints",
"of",
"the",
"algorithm",
",",
"an",
"actor",
"perfectly",
"gaming",
"the",
"system",
"will",
"get",
"an",
"advantage",
"well",
"less",
"than",
"an",
"order",
"of",
"magnitude",
".",
"In",
"other",
"words",
",",
"Po",
"##I",
"gaming",
"will",
"not",
"result",
"in",
"a",
"significant",
"q",
"##ual",
"##itative",
"advantage",
"over",
"actors",
"with",
"the",
"same",
"balance",
"who",
"do",
"nothing",
".",
"For",
"the",
"case",
"where",
"controlled",
"accounts"
] | NEM White paper | 670 |
tate of an account. A newly created transaction
that has not yet been included in a block is called an unconfirmed transaction.
Unconfirmed transactions are not guaranteed to be included in any block.
As a result, unconfirmed transactions have no effect on the account state. The account
state is only updated when a transaction is included in a harvested block and thereby
confirmed.
Different types of transactions exist. Each type has a specific purpose, e.g. transfer
XEM from one account to another or c | [
1155,
3952,
1106,
170,
1887,
3283,
3300,
117,
2482,
1275,
1830,
2196,
1115,
1103,
4495,
1169,
2140,
9711,
1165,
1167,
15029,
1132,
2017,
1107,
1126,
2035,
119,
1370,
2482,
1275,
1830,
117,
1103,
4495,
1116,
10558,
1170,
170,
11810,
1104,
5756,
1127,
3490,
1107,
1103,
2035,
1272,
1103,
10873,
22411,
2014,
1216,
1115,
1103,
7492,
15029,
1127,
1185,
2039,
1107,
1103,
1269,
10005,
119,
1188,
2416,
1103,
8649,
22411,
2841,
117,
440,
117,
1106,
1129,
3549,
1121,
122,
119,
121,
1106,
121,
119,
130,
119,
128,
119,
127,
119,
123,
18086,
13704,
1130,
1103,
7812,
2035,
117,
5756,
4013,
1118,
1103,
1269,
9127,
3952,
161,
15577,
1213,
2258,
4036,
14409,
1107,
170,
7812,
1106,
14112,
1147,
4495,
2794,
119,
1799,
1103,
1149,
13255,
1158,
161,
15577,
1121,
1126,
3300,
1110,
170,
1415,
3849,
1104,
1103,
4495,
2794,
19218,
117,
1103,
1149,
13255,
1158,
161,
15577,
1110,
1103,
5795,
1149,
13255,
1158,
161,
15577,
117,
1216,
1115,
1107,
13255,
1158,
161,
15577,
1106,
1126,
3300,
1110,
4841,
15017,
1158,
1121,
1103,
1149,
13255,
1158,
161,
15577,
119,
4516,
5416,
122,
117,
1288,
161,
15577,
1213,
1107,
170,
7812,
9215,
1104,
1551,
1209,
1136,
1660,
1128,
170,
2299,
5795,
1149,
13255,
1158,
161,
15577,
2794,
1190,
5416,
1149,
1198,
1517,
119,
8500,
3413,
1104,
4335,
113,
170,
114,
113,
171,
114,
122,
1275,
1620,
122,
117,
1288,
1275,
117,
1288,
7421,
1104,
1884,
2339,
21705,
156,
1183,
15197,
5756,
113,
9366,
3418,
114,
121,
119,
1969,
121,
119,
2532,
121,
119,
1851,
121,
119,
3731,
121,
119,
2539,
146,
1306,
185,
184,
187,
1204,
170,
183,
172,
174,
188,
172,
184,
1231,
10942,
2556,
156,
1183,
15197,
113,
172,
114,
15982,
1275,
131,
146,
24729,
16242,
21949,
10873,
1174,
1111,
1160,
5681,
1114,
4645,
1550,
161,
15577,
1114,
3490,
1969,
1550,
161,
15577,
1850,
2258,
1149,
13255,
1158,
2860,
16845,
119,
1109,
7345,
2811,
7634,
1117,
161,
15577,
1107,
1141,
3300,
117,
6142,
1103,
156,
1183,
15197,
2811,
7451,
2967,
5756,
1105,
131,
113,
170,
114,
10130,
161,
15577,
1213,
1107,
170,
7812,
1206,
4013,
5756,
117,
113,
171,
114,
21531,
1116,
1103,
161,
15577,
1107,
4013,
5756,
1105,
1173,
10130,
1172,
1155,
1106,
170,
1423,
3283,
3300,
117,
1105,
113,
172,
114,
10130,
161,
15577,
1121,
1296,
4013,
3300,
1106,
170,
7091,
3300,
119,
146,
24729,
16242,
3633,
7432,
1132,
4928,
1906,
1113,
1103,
194,
118,
9840,
1105,
1103,
1295,
1104,
1884,
2339,
21705,
5756,
1111,
1103,
156,
1183,
15197,
2811,
1110,
4928,
1906,
1107,
9366,
3418,
1113,
1103,
193,
118,
9840,
119,
1370,
113,
172,
114,
117,
188,
9574,
1158,
16699,
4573,
110,
140,
2240,
1121,
1275,
7356,
1105,
4600,
2442,
21185,
1103,
1928,
119,
8500,
3383,
1104,
4335,
128,
119,
128,
4302,
118,
1120,
118,
1457,
9899,
21710,
15840,
8127,
9203,
117,
14975,
1111,
5250,
2822,
15197,
5562,
8377,
10923,
1115,
1202,
1136,
4752,
1103,
24106,
1104,
6298,
3979,
1132,
2548,
1106,
1103,
1720,
118,
1120,
118,
8219,
2463,
1545,
119,
1109,
1720,
118,
1120,
118,
8219,
2463,
10093,
1193,
5903,
1165,
1103,
3767,
2616,
1104,
3780,
170,
3510
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
13,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
13,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"all",
"send",
"to",
"a",
"common",
"master",
"account",
",",
"figure",
"10",
"##b",
"shows",
"that",
"the",
"importance",
"can",
"actually",
"decrease",
"when",
"more",
"nodes",
"are",
"involved",
"in",
"an",
"attack",
".",
"For",
"figure",
"10",
"##b",
",",
"the",
"importance",
"##s",
"decreased",
"after",
"a",
"threshold",
"of",
"accounts",
"were",
"combined",
"in",
"the",
"attack",
"because",
"the",
"graph",
"topology",
"changed",
"such",
"that",
"the",
"attacking",
"nodes",
"were",
"no",
"longer",
"in",
"the",
"same",
"cluster",
".",
"This",
"caused",
"the",
"structural",
"topology",
"weight",
",",
"Ο",
",",
"to",
"be",
"reduced",
"from",
"1",
".",
"0",
"to",
"0",
".",
"9",
".",
"7",
".",
"6",
".",
"2",
"Loop",
"Attack",
"In",
"the",
"loop",
"attack",
",",
"accounts",
"controlled",
"by",
"the",
"same",
"entity",
"send",
"X",
"##EM",
"around",
"via",
"transfer",
"transactions",
"in",
"a",
"loop",
"to",
"boost",
"their",
"importance",
"score",
".",
"While",
"the",
"out",
"##link",
"##ing",
"X",
"##EM",
"from",
"an",
"account",
"is",
"a",
"large",
"portion",
"of",
"the",
"importance",
"score",
"calculation",
",",
"the",
"out",
"##link",
"##ing",
"X",
"##EM",
"is",
"the",
"net",
"out",
"##link",
"##ing",
"X",
"##EM",
",",
"such",
"that",
"in",
"##link",
"##ing",
"X",
"##EM",
"to",
"an",
"account",
"is",
"sub",
"##tract",
"##ing",
"from",
"the",
"out",
"##link",
"##ing",
"X",
"##EM",
".",
"Thus",
"sending",
"1",
",",
"000",
"X",
"##EM",
"around",
"in",
"a",
"loop",
"millions",
"of",
"times",
"will",
"not",
"give",
"you",
"a",
"higher",
"net",
"out",
"##link",
"##ing",
"X",
"##EM",
"score",
"than",
"sending",
"out",
"just",
"once",
".",
"Page",
"37",
"of",
"54",
"(",
"a",
")",
"(",
"b",
")",
"1",
"10",
"100",
"1",
",",
"000",
"10",
",",
"000",
"Number",
"of",
"co",
"##ll",
"##uding",
"S",
"##y",
"##bil",
"accounts",
"(",
"log",
"scale",
")",
"0",
".",
"40",
"0",
".",
"45",
"0",
".",
"50",
"0",
".",
"55",
"0",
".",
"60",
"I",
"##m",
"p",
"o",
"r",
"##t",
"a",
"n",
"c",
"e",
"s",
"c",
"o",
"re",
"Hon",
"##est",
"S",
"##y",
"##bil",
"(",
"c",
")",
"Figure",
"10",
":",
"I",
"##mpo",
"##rta",
"##nces",
"graph",
"##ed",
"for",
"two",
"actors",
"with",
"800",
"million",
"X",
"##EM",
"with",
"combined",
"40",
"million",
"X",
"##EM",
"sent",
"via",
"out",
"##link",
"##ing",
"value",
"transfers",
".",
"The",
"honest",
"actor",
"keeps",
"his",
"X",
"##EM",
"in",
"one",
"account",
",",
"whereas",
"the",
"S",
"##y",
"##bil",
"actor",
"controls",
"multiple",
"accounts",
"and",
":",
"(",
"a",
")",
"sends",
"X",
"##EM",
"around",
"in",
"a",
"loop",
"between",
"controlled",
"accounts",
",",
"(",
"b",
")",
"vest",
"##s",
"the",
"X",
"##EM",
"in",
"controlled",
"accounts",
"and",
"then",
"sends",
"them",
"all",
"to",
"a",
"single",
"master",
"account",
",",
"and",
"(",
"c",
")",
"sends",
"X",
"##EM",
"from",
"each",
"controlled",
"account",
"to",
"a",
"random",
"account",
".",
"I",
"##mpo",
"##rta",
"##nce",
"scores",
"are",
"plot",
"##ted",
"on",
"the",
"y",
"-",
"axis",
"and",
"the",
"number",
"of",
"co",
"##ll",
"##uding",
"accounts",
"for",
"the",
"S",
"##y",
"##bil",
"actor",
"is",
"plot",
"##ted",
"in",
"log",
"scale",
"on",
"the",
"x",
"-",
"axis",
".",
"For",
"(",
"c",
")",
",",
"s",
"##had",
"##ing",
"denotes",
"95",
"%",
"C",
"##I",
"from",
"10",
"trials",
"and",
"solid",
"lines",
"denote",
"the",
"mean",
".",
"Page",
"38",
"of",
"54",
"7",
".",
"7",
"Nothing",
"-",
"at",
"-",
"St",
"##ake",
"Problem",
"Theo",
"##ret",
"##ically",
",",
"algorithms",
"for",
"pro",
"##ba",
"##bil",
"##istic",
"Byzantine",
"consensus",
"that",
"do",
"not",
"require",
"the",
"expenditure",
"of",
"external",
"resources",
"are",
"subject",
"to",
"the",
"nothing",
"-",
"at",
"-",
"stake",
"problem",
"##6",
".",
"The",
"nothing",
"-",
"at",
"-",
"stake",
"problem",
"theoretical",
"##ly",
"exists",
"when",
"the",
"opportunity",
"cost",
"of",
"creating",
"a",
"block"
] | NEM White paper | 671 |
tate of an account. A newly created transaction
that has not yet been included in a block is called an unconfirmed transaction.
Unconfirmed transactions are not guaranteed to be included in any block.
As a result, unconfirmed transactions have no effect on the account state. The account
state is only updated when a transaction is included in a harvested block and thereby
confirmed.
Different types of transactions exist. Each type has a specific purpose, e.g. transfer
XEM from one account to another or c | [
1155,
3952,
1106,
170,
1887,
3283,
3300,
117,
2482,
1275,
1830,
2196,
1115,
1103,
4495,
1169,
2140,
9711,
1165,
1167,
15029,
1132,
2017,
1107,
1126,
2035,
119,
1370,
2482,
1275,
1830,
117,
1103,
4495,
1116,
10558,
1170,
170,
11810,
1104,
5756,
1127,
3490,
1107,
1103,
2035,
1272,
1103,
10873,
22411,
2014,
1216,
1115,
1103,
7492,
15029,
1127,
1185,
2039,
1107,
1103,
1269,
10005,
119,
1188,
2416,
1103,
8649,
22411,
2841,
117,
440,
117,
1106,
1129,
3549,
1121,
122,
119,
121,
1106,
121,
119,
130,
119,
128,
119,
127,
119,
123,
18086,
13704,
1130,
1103,
7812,
2035,
117,
5756,
4013,
1118,
1103,
1269,
9127,
3952,
161,
15577,
1213,
2258,
4036,
14409,
1107,
170,
7812,
1106,
14112,
1147,
4495,
2794,
119,
1799,
1103,
1149,
13255,
1158,
161,
15577,
1121,
1126,
3300,
1110,
170,
1415,
3849,
1104,
1103,
4495,
2794,
19218,
117,
1103,
1149,
13255,
1158,
161,
15577,
1110,
1103,
5795,
1149,
13255,
1158,
161,
15577,
117,
1216,
1115,
1107,
13255,
1158,
161,
15577,
1106,
1126,
3300,
1110,
4841,
15017,
1158,
1121,
1103,
1149,
13255,
1158,
161,
15577,
119,
4516,
5416,
122,
117,
1288,
161,
15577,
1213,
1107,
170,
7812,
9215,
1104,
1551,
1209,
1136,
1660,
1128,
170,
2299,
5795,
1149,
13255,
1158,
161,
15577,
2794,
1190,
5416,
1149,
1198,
1517,
119,
8500,
3413,
1104,
4335,
113,
170,
114,
113,
171,
114,
122,
1275,
1620,
122,
117,
1288,
1275,
117,
1288,
7421,
1104,
1884,
2339,
21705,
156,
1183,
15197,
5756,
113,
9366,
3418,
114,
121,
119,
1969,
121,
119,
2532,
121,
119,
1851,
121,
119,
3731,
121,
119,
2539,
146,
1306,
185,
184,
187,
1204,
170,
183,
172,
174,
188,
172,
184,
1231,
10942,
2556,
156,
1183,
15197,
113,
172,
114,
15982,
1275,
131,
146,
24729,
16242,
21949,
10873,
1174,
1111,
1160,
5681,
1114,
4645,
1550,
161,
15577,
1114,
3490,
1969,
1550,
161,
15577,
1850,
2258,
1149,
13255,
1158,
2860,
16845,
119,
1109,
7345,
2811,
7634,
1117,
161,
15577,
1107,
1141,
3300,
117,
6142,
1103,
156,
1183,
15197,
2811,
7451,
2967,
5756,
1105,
131,
113,
170,
114,
10130,
161,
15577,
1213,
1107,
170,
7812,
1206,
4013,
5756,
117,
113,
171,
114,
21531,
1116,
1103,
161,
15577,
1107,
4013,
5756,
1105,
1173,
10130,
1172,
1155,
1106,
170,
1423,
3283,
3300,
117,
1105,
113,
172,
114,
10130,
161,
15577,
1121,
1296,
4013,
3300,
1106,
170,
7091,
3300,
119,
146,
24729,
16242,
3633,
7432,
1132,
4928,
1906,
1113,
1103,
194,
118,
9840,
1105,
1103,
1295,
1104,
1884,
2339,
21705,
5756,
1111,
1103,
156,
1183,
15197,
2811,
1110,
4928,
1906,
1107,
9366,
3418,
1113,
1103,
193,
118,
9840,
119,
1370,
113,
172,
114,
117,
188,
9574,
1158,
16699,
4573,
110,
140,
2240,
1121,
1275,
7356,
1105,
4600,
2442,
21185,
1103,
1928,
119,
8500,
3383,
1104,
4335,
128,
119,
128,
4302,
118,
1120,
118,
1457,
9899,
21710,
15840,
8127,
9203,
117,
14975,
1111,
5250,
2822,
15197,
5562,
8377,
10923,
1115,
1202,
1136,
4752,
1103,
24106,
1104,
6298,
3979,
1132,
2548,
1106,
1103,
1720,
118,
1120,
118,
8219,
2463,
1545,
119,
1109,
1720,
118,
1120,
118,
8219,
2463,
10093,
1193,
5903,
1165,
1103,
3767,
2616,
1104,
3780,
170,
3510
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"all",
"send",
"to",
"a",
"common",
"master",
"account",
",",
"figure",
"10",
"##b",
"shows",
"that",
"the",
"importance",
"can",
"actually",
"decrease",
"when",
"more",
"nodes",
"are",
"involved",
"in",
"an",
"attack",
".",
"For",
"figure",
"10",
"##b",
",",
"the",
"importance",
"##s",
"decreased",
"after",
"a",
"threshold",
"of",
"accounts",
"were",
"combined",
"in",
"the",
"attack",
"because",
"the",
"graph",
"topology",
"changed",
"such",
"that",
"the",
"attacking",
"nodes",
"were",
"no",
"longer",
"in",
"the",
"same",
"cluster",
".",
"This",
"caused",
"the",
"structural",
"topology",
"weight",
",",
"Ο",
",",
"to",
"be",
"reduced",
"from",
"1",
".",
"0",
"to",
"0",
".",
"9",
".",
"7",
".",
"6",
".",
"2",
"Loop",
"Attack",
"In",
"the",
"loop",
"attack",
",",
"accounts",
"controlled",
"by",
"the",
"same",
"entity",
"send",
"X",
"##EM",
"around",
"via",
"transfer",
"transactions",
"in",
"a",
"loop",
"to",
"boost",
"their",
"importance",
"score",
".",
"While",
"the",
"out",
"##link",
"##ing",
"X",
"##EM",
"from",
"an",
"account",
"is",
"a",
"large",
"portion",
"of",
"the",
"importance",
"score",
"calculation",
",",
"the",
"out",
"##link",
"##ing",
"X",
"##EM",
"is",
"the",
"net",
"out",
"##link",
"##ing",
"X",
"##EM",
",",
"such",
"that",
"in",
"##link",
"##ing",
"X",
"##EM",
"to",
"an",
"account",
"is",
"sub",
"##tract",
"##ing",
"from",
"the",
"out",
"##link",
"##ing",
"X",
"##EM",
".",
"Thus",
"sending",
"1",
",",
"000",
"X",
"##EM",
"around",
"in",
"a",
"loop",
"millions",
"of",
"times",
"will",
"not",
"give",
"you",
"a",
"higher",
"net",
"out",
"##link",
"##ing",
"X",
"##EM",
"score",
"than",
"sending",
"out",
"just",
"once",
".",
"Page",
"37",
"of",
"54",
"(",
"a",
")",
"(",
"b",
")",
"1",
"10",
"100",
"1",
",",
"000",
"10",
",",
"000",
"Number",
"of",
"co",
"##ll",
"##uding",
"S",
"##y",
"##bil",
"accounts",
"(",
"log",
"scale",
")",
"0",
".",
"40",
"0",
".",
"45",
"0",
".",
"50",
"0",
".",
"55",
"0",
".",
"60",
"I",
"##m",
"p",
"o",
"r",
"##t",
"a",
"n",
"c",
"e",
"s",
"c",
"o",
"re",
"Hon",
"##est",
"S",
"##y",
"##bil",
"(",
"c",
")",
"Figure",
"10",
":",
"I",
"##mpo",
"##rta",
"##nces",
"graph",
"##ed",
"for",
"two",
"actors",
"with",
"800",
"million",
"X",
"##EM",
"with",
"combined",
"40",
"million",
"X",
"##EM",
"sent",
"via",
"out",
"##link",
"##ing",
"value",
"transfers",
".",
"The",
"honest",
"actor",
"keeps",
"his",
"X",
"##EM",
"in",
"one",
"account",
",",
"whereas",
"the",
"S",
"##y",
"##bil",
"actor",
"controls",
"multiple",
"accounts",
"and",
":",
"(",
"a",
")",
"sends",
"X",
"##EM",
"around",
"in",
"a",
"loop",
"between",
"controlled",
"accounts",
",",
"(",
"b",
")",
"vest",
"##s",
"the",
"X",
"##EM",
"in",
"controlled",
"accounts",
"and",
"then",
"sends",
"them",
"all",
"to",
"a",
"single",
"master",
"account",
",",
"and",
"(",
"c",
")",
"sends",
"X",
"##EM",
"from",
"each",
"controlled",
"account",
"to",
"a",
"random",
"account",
".",
"I",
"##mpo",
"##rta",
"##nce",
"scores",
"are",
"plot",
"##ted",
"on",
"the",
"y",
"-",
"axis",
"and",
"the",
"number",
"of",
"co",
"##ll",
"##uding",
"accounts",
"for",
"the",
"S",
"##y",
"##bil",
"actor",
"is",
"plot",
"##ted",
"in",
"log",
"scale",
"on",
"the",
"x",
"-",
"axis",
".",
"For",
"(",
"c",
")",
",",
"s",
"##had",
"##ing",
"denotes",
"95",
"%",
"C",
"##I",
"from",
"10",
"trials",
"and",
"solid",
"lines",
"denote",
"the",
"mean",
".",
"Page",
"38",
"of",
"54",
"7",
".",
"7",
"Nothing",
"-",
"at",
"-",
"St",
"##ake",
"Problem",
"Theo",
"##ret",
"##ically",
",",
"algorithms",
"for",
"pro",
"##ba",
"##bil",
"##istic",
"Byzantine",
"consensus",
"that",
"do",
"not",
"require",
"the",
"expenditure",
"of",
"external",
"resources",
"are",
"subject",
"to",
"the",
"nothing",
"-",
"at",
"-",
"stake",
"problem",
"##6",
".",
"The",
"nothing",
"-",
"at",
"-",
"stake",
"problem",
"theoretical",
"##ly",
"exists",
"when",
"the",
"opportunity",
"cost",
"of",
"creating",
"a",
"block"
] | NEM White paper | 672 |
onvert an account to a multisig account. Since
transactions consume resources of the p2p network there is a fee for each transaction. The
fee depends on the transaction type and other parameters of the transaction.
Transactions have a deadline. If a transaction is not included in a block before its
deadline, the transaction is considered expired and gets dropped by the network nodes.
The following sections describe the different transaction types.
4.1 Transfer transactions
A transfer transaction is us | [
1110,
24928,
23655,
12192,
119,
1130,
1168,
1734,
117,
1103,
2616,
1104,
3780,
170,
3510,
1110,
1177,
1822,
1115,
1122,
1110,
3123,
1106,
2561,
170,
3510,
1111,
1155,
1227,
13097,
1116,
1104,
170,
3510,
4129,
113,
1259,
1343,
13097,
1116,
1115,
1127,
2191,
118,
1687,
1107,
3318,
114,
119,
1130,
5014,
117,
1103,
1720,
118,
1120,
118,
8219,
2463,
1674,
1136,
4056,
1165,
5096,
10008,
1104,
6955,
1110,
1215,
1111,
10923,
1272,
3780,
170,
3510,
1606,
1216,
170,
10923,
6978,
1110,
9100,
118,
12885,
119,
1130,
26546,
2107,
117,
1103,
2616,
1104,
3780,
170,
3510,
1110,
24928,
23655,
12192,
119,
1706,
26410,
25342,
1103,
1720,
118,
1120,
118,
8219,
2463,
117,
26546,
2107,
10184,
1103,
1849,
1107,
3510,
7262,
1105,
1145,
6263,
1103,
2251,
1104,
1103,
4129,
1115,
1169,
1129,
8362,
12821,
6775,
1219,
13097,
6021,
119,
1249,
1758,
1107,
4841,
25461,
126,
119,
122,
131,
8093,
7262,
117,
1103,
3510,
7262,
1849,
2603,
1110,
14510,
1120,
170,
4177,
1104,
126,
110,
119,
1409,
1126,
19114,
1144,
9627,
1750,
1190,
1851,
110,
1104,
1103,
25039,
1540,
1104,
1103,
2443,
117,
1142,
1209,
2612,
1103,
3510,
3707,
1159,
1104,
1103,
19114,
112,
188,
3318,
4129,
1106,
1129,
1277,
2299,
1190,
1115,
1104,
1103,
1514,
4129,
1107,
1103,
2150,
119,
1188,
1415,
1159,
3719,
1209,
1294,
1122,
9803,
1111,
1103,
19114,
112,
188,
4129,
1106,
1129,
1618,
1105,
3134,
119,
1130,
1901,
117,
1103,
3510,
4129,
8362,
11129,
5310,
1110,
9174,
5511,
113,
1267,
4841,
25461,
126,
119,
125,
131,
8093,
4129,
188,
27250,
8167,
11153,
8569,
114,
117,
1134,
17356,
1263,
118,
2079,
13097,
1116,
1121,
15390,
1468,
1684,
1113,
2967,
9236,
119,
128,
119,
129,
3291,
8223,
10832,
4495,
1106,
8219,
1249,
4841,
25461,
128,
119,
126,
131,
11917,
21608,
1916,
146,
24729,
16242,
3633,
18417,
1116,
2196,
117,
1103,
21531,
1174,
5233,
1104,
1126,
3300,
1110,
170,
1415,
6552,
1104,
1103,
4495,
2794,
119,
9251,
1103,
21531,
1174,
5233,
1112,
1103,
107,
8219,
107,
1215,
1107,
16408,
11604,
9885,
16381,
1103,
5096,
10008,
118,
1104,
118,
1457,
9899,
113,
18959,
1708,
114,
9932,
117,
1122,
1180,
1129,
4491,
1115,
18959,
1708,
1105,
18959,
2240,
1132,
1861,
119,
1130,
1546,
1106,
8664,
1103,
5408,
1105,
12672,
1206,
18959,
1708,
1105,
18959,
2240,
117,
1103,
26546,
2107,
1105,
27400,
2528,
1394,
13618,
21562,
1127,
17689,
119,
27400,
2528,
1394,
1108,
3468,
1496,
1106,
1103,
3860,
1415,
2060,
1104,
1157,
4795,
2259,
1105,
13618,
10873,
119,
1249,
1104,
1364,
1853,
117,
1410,
117,
1103,
26546,
2107,
13618,
10873,
1125,
122,
117,
2532,
1545,
25039,
118,
7408,
5756,
113,
1267,
4841,
25461,
128,
119,
122,
131,
12224,
5389,
5474,
1111,
13832,
9930,
1103,
146,
24729,
16242,
3633,
11917,
21608,
2116,
114,
119,
1130,
1357,
1387,
117,
2324,
1141,
2370,
1104,
2233,
1121,
1103,
27400,
2528,
1394,
2443,
1108,
26143,
1105,
17689,
119,
4335,
117,
5599,
1495,
5756,
1127,
25039,
118,
7408,
1165,
27378,
1658,
7919,
1127,
2999,
2200,
1106,
26546,
2107,
119,
7277,
6094,
2227,
2999,
2734,
1108,
1694,
1118,
4321,
1643,
15318,
1103,
27378,
1658,
7919,
1118,
1103,
2319,
6707,
6022,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
9,
10,
10,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
9,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
9,
10,
10,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
9,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"is",
"ne",
"##gli",
"##gible",
".",
"In",
"other",
"words",
",",
"the",
"cost",
"of",
"creating",
"a",
"block",
"is",
"so",
"low",
"that",
"it",
"is",
"easy",
"to",
"create",
"a",
"block",
"for",
"all",
"known",
"fork",
"##s",
"of",
"a",
"block",
"chain",
"(",
"including",
"those",
"fork",
"##s",
"that",
"were",
"self",
"-",
"created",
"in",
"secret",
")",
".",
"In",
"contrast",
",",
"the",
"nothing",
"-",
"at",
"-",
"stake",
"problem",
"does",
"not",
"exist",
"when",
"Pro",
"##of",
"of",
"Work",
"is",
"used",
"for",
"consensus",
"because",
"creating",
"a",
"block",
"using",
"such",
"a",
"consensus",
"mechanism",
"is",
"resource",
"-",
"intensive",
".",
"In",
"NE",
"##M",
",",
"the",
"cost",
"of",
"creating",
"a",
"block",
"is",
"ne",
"##gli",
"##gible",
".",
"To",
"mit",
"##igate",
"the",
"nothing",
"-",
"at",
"-",
"stake",
"problem",
",",
"NE",
"##M",
"caps",
"the",
"change",
"in",
"block",
"difficulty",
"and",
"also",
"limits",
"the",
"length",
"of",
"the",
"chain",
"that",
"can",
"be",
"un",
"##wo",
"##und",
"during",
"fork",
"resolution",
".",
"As",
"described",
"in",
"sub",
"##section",
"5",
".",
"1",
":",
"Block",
"difficulty",
",",
"the",
"block",
"difficulty",
"change",
"rate",
"is",
"capped",
"at",
"a",
"maximum",
"of",
"5",
"%",
".",
"If",
"an",
"attacker",
"has",
"considerably",
"less",
"than",
"50",
"%",
"of",
"the",
"harvesting",
"power",
"of",
"the",
"network",
",",
"this",
"will",
"cause",
"the",
"block",
"creation",
"time",
"of",
"the",
"attacker",
"'",
"s",
"secret",
"chain",
"to",
"be",
"much",
"higher",
"than",
"that",
"of",
"the",
"main",
"chain",
"in",
"the",
"beginning",
".",
"This",
"large",
"time",
"difference",
"will",
"make",
"it",
"unlikely",
"for",
"the",
"attacker",
"'",
"s",
"chain",
"to",
"be",
"better",
"and",
"accepted",
".",
"In",
"addition",
",",
"the",
"block",
"chain",
"un",
"##wind",
"limit",
"is",
"360",
"blocks",
"(",
"see",
"sub",
"##section",
"5",
".",
"4",
":",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
")",
",",
"which",
"prevents",
"long",
"-",
"range",
"fork",
"##s",
"from",
"harvest",
"##ers",
"working",
"on",
"multiple",
"chains",
".",
"7",
".",
"8",
"Co",
"##mp",
"##aring",
"importance",
"to",
"stake",
"As",
"sub",
"##section",
"7",
".",
"5",
":",
"Cal",
"##cula",
"##ting",
"I",
"##mpo",
"##rta",
"##nce",
"Score",
"##s",
"shows",
",",
"the",
"vest",
"##ed",
"balance",
"of",
"an",
"account",
"is",
"a",
"large",
"component",
"of",
"the",
"importance",
"score",
".",
"Taking",
"the",
"vest",
"##ed",
"balance",
"as",
"the",
"\"",
"stake",
"\"",
"used",
"in",
"cu",
"##rre",
"##ncies",
"implementing",
"the",
"Pro",
"##of",
"-",
"of",
"-",
"St",
"##ake",
"(",
"Po",
"##S",
")",
"algorithm",
",",
"it",
"could",
"be",
"argued",
"that",
"Po",
"##S",
"and",
"Po",
"##I",
"are",
"similar",
".",
"In",
"order",
"to",
"explore",
"the",
"differences",
"and",
"similarities",
"between",
"Po",
"##S",
"and",
"Po",
"##I",
",",
"the",
"NE",
"##M",
"and",
"Bit",
"##co",
"##in",
"transaction",
"graphs",
"were",
"analyzed",
".",
"Bit",
"##co",
"##in",
"was",
"chosen",
"due",
"to",
"the",
"relatively",
"large",
"size",
"of",
"its",
"user",
"base",
"and",
"transaction",
"graph",
".",
"As",
"of",
"April",
"29",
",",
"2015",
",",
"the",
"NE",
"##M",
"transaction",
"graph",
"had",
"1",
",",
"45",
"##6",
"harvesting",
"-",
"eligible",
"accounts",
"(",
"see",
"sub",
"##section",
"7",
".",
"1",
":",
"Eli",
"##gi",
"##bility",
"for",
"En",
"##tering",
"the",
"I",
"##mpo",
"##rta",
"##nce",
"Cal",
"##cula",
"##tion",
")",
".",
"In",
"October",
"2014",
",",
"approximately",
"one",
"month",
"of",
"data",
"from",
"the",
"Bit",
"##co",
"##in",
"network",
"was",
"downloaded",
"and",
"analyzed",
".",
"54",
",",
"68",
"##3",
"accounts",
"were",
"harvesting",
"-",
"eligible",
"when",
"BT",
"##C",
"amounts",
"were",
"normal",
"##ized",
"to",
"NE",
"##M",
".",
"Am",
"##ou",
"##nt",
"normal",
"##ization",
"was",
"done",
"by",
"multi",
"##p",
"##lying",
"the",
"BT",
"##C",
"amounts",
"by",
"the",
"market",
"cap",
"ratio",
"."
] | NEM White paper | 673 |
onvert an account to a multisig account. Since
transactions consume resources of the p2p network there is a fee for each transaction. The
fee depends on the transaction type and other parameters of the transaction.
Transactions have a deadline. If a transaction is not included in a block before its
deadline, the transaction is considered expired and gets dropped by the network nodes.
The following sections describe the different transaction types.
4.1 Transfer transactions
A transfer transaction is us | [
1110,
24928,
23655,
12192,
119,
1130,
1168,
1734,
117,
1103,
2616,
1104,
3780,
170,
3510,
1110,
1177,
1822,
1115,
1122,
1110,
3123,
1106,
2561,
170,
3510,
1111,
1155,
1227,
13097,
1116,
1104,
170,
3510,
4129,
113,
1259,
1343,
13097,
1116,
1115,
1127,
2191,
118,
1687,
1107,
3318,
114,
119,
1130,
5014,
117,
1103,
1720,
118,
1120,
118,
8219,
2463,
1674,
1136,
4056,
1165,
5096,
10008,
1104,
6955,
1110,
1215,
1111,
10923,
1272,
3780,
170,
3510,
1606,
1216,
170,
10923,
6978,
1110,
9100,
118,
12885,
119,
1130,
26546,
2107,
117,
1103,
2616,
1104,
3780,
170,
3510,
1110,
24928,
23655,
12192,
119,
1706,
26410,
25342,
1103,
1720,
118,
1120,
118,
8219,
2463,
117,
26546,
2107,
10184,
1103,
1849,
1107,
3510,
7262,
1105,
1145,
6263,
1103,
2251,
1104,
1103,
4129,
1115,
1169,
1129,
8362,
12821,
6775,
1219,
13097,
6021,
119,
1249,
1758,
1107,
4841,
25461,
126,
119,
122,
131,
8093,
7262,
117,
1103,
3510,
7262,
1849,
2603,
1110,
14510,
1120,
170,
4177,
1104,
126,
110,
119,
1409,
1126,
19114,
1144,
9627,
1750,
1190,
1851,
110,
1104,
1103,
25039,
1540,
1104,
1103,
2443,
117,
1142,
1209,
2612,
1103,
3510,
3707,
1159,
1104,
1103,
19114,
112,
188,
3318,
4129,
1106,
1129,
1277,
2299,
1190,
1115,
1104,
1103,
1514,
4129,
1107,
1103,
2150,
119,
1188,
1415,
1159,
3719,
1209,
1294,
1122,
9803,
1111,
1103,
19114,
112,
188,
4129,
1106,
1129,
1618,
1105,
3134,
119,
1130,
1901,
117,
1103,
3510,
4129,
8362,
11129,
5310,
1110,
9174,
5511,
113,
1267,
4841,
25461,
126,
119,
125,
131,
8093,
4129,
188,
27250,
8167,
11153,
8569,
114,
117,
1134,
17356,
1263,
118,
2079,
13097,
1116,
1121,
15390,
1468,
1684,
1113,
2967,
9236,
119,
128,
119,
129,
3291,
8223,
10832,
4495,
1106,
8219,
1249,
4841,
25461,
128,
119,
126,
131,
11917,
21608,
1916,
146,
24729,
16242,
3633,
18417,
1116,
2196,
117,
1103,
21531,
1174,
5233,
1104,
1126,
3300,
1110,
170,
1415,
6552,
1104,
1103,
4495,
2794,
119,
9251,
1103,
21531,
1174,
5233,
1112,
1103,
107,
8219,
107,
1215,
1107,
16408,
11604,
9885,
16381,
1103,
5096,
10008,
118,
1104,
118,
1457,
9899,
113,
18959,
1708,
114,
9932,
117,
1122,
1180,
1129,
4491,
1115,
18959,
1708,
1105,
18959,
2240,
1132,
1861,
119,
1130,
1546,
1106,
8664,
1103,
5408,
1105,
12672,
1206,
18959,
1708,
1105,
18959,
2240,
117,
1103,
26546,
2107,
1105,
27400,
2528,
1394,
13618,
21562,
1127,
17689,
119,
27400,
2528,
1394,
1108,
3468,
1496,
1106,
1103,
3860,
1415,
2060,
1104,
1157,
4795,
2259,
1105,
13618,
10873,
119,
1249,
1104,
1364,
1853,
117,
1410,
117,
1103,
26546,
2107,
13618,
10873,
1125,
122,
117,
2532,
1545,
25039,
118,
7408,
5756,
113,
1267,
4841,
25461,
128,
119,
122,
131,
12224,
5389,
5474,
1111,
13832,
9930,
1103,
146,
24729,
16242,
3633,
11917,
21608,
2116,
114,
119,
1130,
1357,
1387,
117,
2324,
1141,
2370,
1104,
2233,
1121,
1103,
27400,
2528,
1394,
2443,
1108,
26143,
1105,
17689,
119,
4335,
117,
5599,
1495,
5756,
1127,
25039,
118,
7408,
1165,
27378,
1658,
7919,
1127,
2999,
2200,
1106,
26546,
2107,
119,
7277,
6094,
2227,
2999,
2734,
1108,
1694,
1118,
4321,
1643,
15318,
1103,
27378,
1658,
7919,
1118,
1103,
2319,
6707,
6022,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"is",
"ne",
"##gli",
"##gible",
".",
"In",
"other",
"words",
",",
"the",
"cost",
"of",
"creating",
"a",
"block",
"is",
"so",
"low",
"that",
"it",
"is",
"easy",
"to",
"create",
"a",
"block",
"for",
"all",
"known",
"fork",
"##s",
"of",
"a",
"block",
"chain",
"(",
"including",
"those",
"fork",
"##s",
"that",
"were",
"self",
"-",
"created",
"in",
"secret",
")",
".",
"In",
"contrast",
",",
"the",
"nothing",
"-",
"at",
"-",
"stake",
"problem",
"does",
"not",
"exist",
"when",
"Pro",
"##of",
"of",
"Work",
"is",
"used",
"for",
"consensus",
"because",
"creating",
"a",
"block",
"using",
"such",
"a",
"consensus",
"mechanism",
"is",
"resource",
"-",
"intensive",
".",
"In",
"NE",
"##M",
",",
"the",
"cost",
"of",
"creating",
"a",
"block",
"is",
"ne",
"##gli",
"##gible",
".",
"To",
"mit",
"##igate",
"the",
"nothing",
"-",
"at",
"-",
"stake",
"problem",
",",
"NE",
"##M",
"caps",
"the",
"change",
"in",
"block",
"difficulty",
"and",
"also",
"limits",
"the",
"length",
"of",
"the",
"chain",
"that",
"can",
"be",
"un",
"##wo",
"##und",
"during",
"fork",
"resolution",
".",
"As",
"described",
"in",
"sub",
"##section",
"5",
".",
"1",
":",
"Block",
"difficulty",
",",
"the",
"block",
"difficulty",
"change",
"rate",
"is",
"capped",
"at",
"a",
"maximum",
"of",
"5",
"%",
".",
"If",
"an",
"attacker",
"has",
"considerably",
"less",
"than",
"50",
"%",
"of",
"the",
"harvesting",
"power",
"of",
"the",
"network",
",",
"this",
"will",
"cause",
"the",
"block",
"creation",
"time",
"of",
"the",
"attacker",
"'",
"s",
"secret",
"chain",
"to",
"be",
"much",
"higher",
"than",
"that",
"of",
"the",
"main",
"chain",
"in",
"the",
"beginning",
".",
"This",
"large",
"time",
"difference",
"will",
"make",
"it",
"unlikely",
"for",
"the",
"attacker",
"'",
"s",
"chain",
"to",
"be",
"better",
"and",
"accepted",
".",
"In",
"addition",
",",
"the",
"block",
"chain",
"un",
"##wind",
"limit",
"is",
"360",
"blocks",
"(",
"see",
"sub",
"##section",
"5",
".",
"4",
":",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
")",
",",
"which",
"prevents",
"long",
"-",
"range",
"fork",
"##s",
"from",
"harvest",
"##ers",
"working",
"on",
"multiple",
"chains",
".",
"7",
".",
"8",
"Co",
"##mp",
"##aring",
"importance",
"to",
"stake",
"As",
"sub",
"##section",
"7",
".",
"5",
":",
"Cal",
"##cula",
"##ting",
"I",
"##mpo",
"##rta",
"##nce",
"Score",
"##s",
"shows",
",",
"the",
"vest",
"##ed",
"balance",
"of",
"an",
"account",
"is",
"a",
"large",
"component",
"of",
"the",
"importance",
"score",
".",
"Taking",
"the",
"vest",
"##ed",
"balance",
"as",
"the",
"\"",
"stake",
"\"",
"used",
"in",
"cu",
"##rre",
"##ncies",
"implementing",
"the",
"Pro",
"##of",
"-",
"of",
"-",
"St",
"##ake",
"(",
"Po",
"##S",
")",
"algorithm",
",",
"it",
"could",
"be",
"argued",
"that",
"Po",
"##S",
"and",
"Po",
"##I",
"are",
"similar",
".",
"In",
"order",
"to",
"explore",
"the",
"differences",
"and",
"similarities",
"between",
"Po",
"##S",
"and",
"Po",
"##I",
",",
"the",
"NE",
"##M",
"and",
"Bit",
"##co",
"##in",
"transaction",
"graphs",
"were",
"analyzed",
".",
"Bit",
"##co",
"##in",
"was",
"chosen",
"due",
"to",
"the",
"relatively",
"large",
"size",
"of",
"its",
"user",
"base",
"and",
"transaction",
"graph",
".",
"As",
"of",
"April",
"29",
",",
"2015",
",",
"the",
"NE",
"##M",
"transaction",
"graph",
"had",
"1",
",",
"45",
"##6",
"harvesting",
"-",
"eligible",
"accounts",
"(",
"see",
"sub",
"##section",
"7",
".",
"1",
":",
"Eli",
"##gi",
"##bility",
"for",
"En",
"##tering",
"the",
"I",
"##mpo",
"##rta",
"##nce",
"Cal",
"##cula",
"##tion",
")",
".",
"In",
"October",
"2014",
",",
"approximately",
"one",
"month",
"of",
"data",
"from",
"the",
"Bit",
"##co",
"##in",
"network",
"was",
"downloaded",
"and",
"analyzed",
".",
"54",
",",
"68",
"##3",
"accounts",
"were",
"harvesting",
"-",
"eligible",
"when",
"BT",
"##C",
"amounts",
"were",
"normal",
"##ized",
"to",
"NE",
"##M",
".",
"Am",
"##ou",
"##nt",
"normal",
"##ization",
"was",
"done",
"by",
"multi",
"##p",
"##lying",
"the",
"BT",
"##C",
"amounts",
"by",
"the",
"market",
"cap",
"ratio",
"."
] | NEM White paper | 674 |
ed to transfer XEM from one account to another. A message
of at most 1024 bytes can be attached to each transfer transaction. In the case of an
encrypted message, only 960 bytes can contain custom data because the salt and the IV
data are part of the encrypted message.
Fees for transfer transactions are divided into two parts:
β’ .05 XEM per 10,000 XEM transferred, capped at 1.25 XEM
β’ .05 XEM per commenced 32 message bytes (messageLength / 32 + 1).
Both fee parts are added to give the final fee.
Page | [
4516,
117,
121,
119,
5187,
1559,
1559,
27378,
1658,
1108,
1103,
5867,
2971,
1104,
21531,
1174,
27378,
1658,
1111,
1126,
3300,
1106,
1129,
1737,
25039,
118,
7408,
119,
8093,
16291,
1127,
2999,
2200,
1106,
26546,
2107,
1118,
4321,
1643,
15318,
1118,
127,
1708,
3051,
25118,
19921,
1252,
9866,
1179,
112,
188,
10679,
2112,
1113,
1103,
2548,
1111,
170,
1363,
24431,
131,
18630,
131,
120,
120,
10679,
119,
3084,
12807,
1818,
119,
8916,
120,
1387,
120,
1429,
120,
1512,
120,
6777,
118,
8219,
118,
3560,
118,
1567,
118,
4780,
118,
2548,
6366,
120,
119,
8500,
3614,
1104,
4335,
18630,
131,
120,
120,
10679,
119,
3084,
12807,
1818,
119,
8916,
120,
1387,
120,
1429,
120,
1512,
120,
6777,
118,
8219,
118,
3560,
118,
1567,
118,
4780,
118,
2548,
6366,
120,
18630,
131,
120,
120,
10679,
119,
3084,
12807,
1818,
119,
8916,
120,
1387,
120,
1429,
120,
1512,
120,
6777,
118,
8219,
118,
3560,
118,
1567,
118,
4780,
118,
2548,
6366,
120,
1275,
119,
15982,
1429,
113,
170,
114,
2196,
4495,
7432,
1105,
21531,
1174,
5233,
1116,
4928,
1906,
1113,
170,
9366,
3418,
1111,
1296,
1104,
1103,
122,
117,
2532,
1545,
25039,
118,
7408,
5756,
113,
21805,
1118,
21531,
1174,
5233,
117,
26457,
114,
1107,
1103,
26546,
2107,
13618,
10873,
117,
1105,
113,
171,
114,
1111,
1103,
4335,
117,
5599,
1495,
25039,
118,
7408,
5756,
1107,
1103,
27400,
2528,
1394,
13618,
10873,
119,
1249,
1169,
1129,
1562,
117,
1229,
1103,
21531,
1174,
5233,
1116,
1132,
19863,
12355,
25116,
1193,
4138,
117,
1103,
4495,
7432,
1132,
1664,
118,
19863,
12355,
7770,
117,
15107,
1115,
5756,
1114,
2211,
21531,
1174,
5233,
1116,
1132,
1682,
1106,
4361,
2299,
21718,
7174,
3633,
1107,
18959,
2240,
1190,
1107,
18959,
1708,
1107,
1241,
13618,
21562,
119,
15982,
1367,
2196,
1103,
4928,
1906,
26546,
2107,
13618,
2443,
21562,
1111,
1241,
2999,
2200,
4495,
7432,
1105,
21531,
1174,
5233,
1116,
1107,
1546,
1106,
1660,
1126,
24431,
1104,
1103,
186,
4746,
24936,
5408,
1206,
18959,
2240,
1105,
18959,
1708,
119,
14508,
2734,
1108,
1694,
1106,
1294,
1103,
5408,
1129,
118,
189,
7921,
1424,
7432,
1114,
1822,
1105,
1344,
4718,
1167,
5085,
119,
1135,
1108,
8587,
1118,
188,
7867,
1158,
1103,
4495,
7432,
1105,
21531,
1174,
5233,
1116,
1106,
7584,
1106,
11721,
117,
1781,
1103,
7846,
2860,
1104,
1103,
9366,
7710,
1582,
1306,
1104,
1115,
117,
13970,
1122,
1106,
1126,
4252,
5674,
21222,
2916,
3053,
117,
1105,
1173,
1231,
26996,
1979,
1106,
7584,
1106,
11721,
119,
1249,
1169,
1129,
1562,
1107,
1103,
10873,
117,
21531,
1174,
5233,
1116,
1660,
2610,
2841,
1106,
8307,
15029,
117,
6142,
4495,
7432,
1138,
1750,
4430,
5382,
2610,
15029,
119,
1706,
186,
27280,
6120,
1103,
5408,
1107,
3300,
21718,
7174,
21949,
117,
1155,
1103,
5756,
1111,
26546,
2107,
1105,
27400,
2528,
1394,
1127,
3616,
113,
21265,
132,
5756,
1114,
1103,
1269,
2794,
120,
5233,
1127,
1549,
1103,
1269,
3997,
114,
1359,
1113,
21531,
1174,
5233,
1116,
1105,
4495,
7432,
1105,
1350,
1120,
1103,
5408,
1107,
6496,
1206,
1103,
1160,
12676,
1116,
119,
11389,
122,
131,
12120,
20954,
1116,
1206,
26546,
2107,
3300,
6496,
1111,
4495,
7432,
5016,
119
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
19,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Thus",
",",
"0",
".",
"01",
"##7",
"##7",
"BT",
"##C",
"was",
"the",
"minimum",
"amount",
"of",
"vest",
"##ed",
"BT",
"##C",
"for",
"an",
"account",
"to",
"be",
"considered",
"harvesting",
"-",
"eligible",
".",
"Block",
"heights",
"were",
"normal",
"##ized",
"to",
"NE",
"##M",
"by",
"multi",
"##p",
"##lying",
"by",
"6",
"##S",
"##ee",
"Vita",
"##lik",
"But",
"##eri",
"##n",
"'",
"s",
"blog",
"post",
"on",
"the",
"subject",
"for",
"a",
"good",
"overview",
":",
"https",
":",
"/",
"/",
"blog",
".",
"et",
"##here",
"##um",
".",
"org",
"/",
"2014",
"/",
"11",
"/",
"25",
"/",
"proof",
"-",
"stake",
"-",
"learned",
"-",
"love",
"-",
"weak",
"-",
"subject",
"##ivity",
"/",
".",
"Page",
"39",
"of",
"54",
"https",
":",
"/",
"/",
"blog",
".",
"et",
"##here",
"##um",
".",
"org",
"/",
"2014",
"/",
"11",
"/",
"25",
"/",
"proof",
"-",
"stake",
"-",
"learned",
"-",
"love",
"-",
"weak",
"-",
"subject",
"##ivity",
"/",
"https",
":",
"/",
"/",
"blog",
".",
"et",
"##here",
"##um",
".",
"org",
"/",
"2014",
"/",
"11",
"/",
"25",
"/",
"proof",
"-",
"stake",
"-",
"learned",
"-",
"love",
"-",
"weak",
"-",
"subject",
"##ivity",
"/",
"10",
".",
"Figure",
"11",
"(",
"a",
")",
"shows",
"importance",
"scores",
"and",
"vest",
"##ed",
"balance",
"##s",
"plot",
"##ted",
"on",
"a",
"log",
"scale",
"for",
"each",
"of",
"the",
"1",
",",
"45",
"##6",
"harvesting",
"-",
"eligible",
"accounts",
"(",
"sorted",
"by",
"vest",
"##ed",
"balance",
",",
"ascending",
")",
"in",
"the",
"NE",
"##M",
"transaction",
"graph",
",",
"and",
"(",
"b",
")",
"for",
"the",
"54",
",",
"68",
"##3",
"harvesting",
"-",
"eligible",
"accounts",
"in",
"the",
"Bit",
"##co",
"##in",
"transaction",
"graph",
".",
"As",
"can",
"be",
"seen",
",",
"while",
"the",
"vest",
"##ed",
"balance",
"##s",
"are",
"mon",
"##oto",
"##nical",
"##ly",
"increasing",
",",
"the",
"importance",
"scores",
"are",
"non",
"-",
"mon",
"##oto",
"##nic",
",",
"demonstrating",
"that",
"accounts",
"with",
"lower",
"vest",
"##ed",
"balance",
"##s",
"are",
"able",
"to",
"gain",
"higher",
"sa",
"##lie",
"##nce",
"in",
"Po",
"##I",
"than",
"in",
"Po",
"##S",
"in",
"both",
"transaction",
"graphs",
".",
"Figure",
"12",
"shows",
"the",
"plot",
"##ted",
"NE",
"##M",
"transaction",
"network",
"graphs",
"for",
"both",
"normal",
"##ized",
"importance",
"scores",
"and",
"vest",
"##ed",
"balance",
"##s",
"in",
"order",
"to",
"give",
"an",
"overview",
"of",
"the",
"q",
"##ual",
"##itative",
"differences",
"between",
"Po",
"##I",
"and",
"Po",
"##S",
".",
"Normal",
"##ization",
"was",
"done",
"to",
"make",
"the",
"differences",
"be",
"-",
"t",
"##we",
"##en",
"scores",
"with",
"low",
"and",
"high",
"values",
"more",
"visible",
".",
"It",
"was",
"accomplished",
"by",
"s",
"##cal",
"##ing",
"the",
"importance",
"scores",
"and",
"vest",
"##ed",
"balance",
"##s",
"to",
"sum",
"to",
"unity",
",",
"taking",
"the",
"absolute",
"value",
"of",
"the",
"log",
"##ari",
"##th",
"##m",
"of",
"that",
",",
"mapping",
"it",
"to",
"an",
"ex",
"##po",
"##nent",
"##ial",
"function",
",",
"and",
"then",
"re",
"##sca",
"##ling",
"to",
"sum",
"to",
"unity",
".",
"As",
"can",
"be",
"seen",
"in",
"the",
"graph",
",",
"vest",
"##ed",
"balance",
"##s",
"give",
"larger",
"weight",
"to",
"fewer",
"nodes",
",",
"whereas",
"importance",
"scores",
"have",
"less",
"notice",
"##ably",
"larger",
"nodes",
".",
"To",
"q",
"##uant",
"##ify",
"the",
"differences",
"in",
"account",
"sa",
"##lie",
"##nces",
",",
"all",
"the",
"accounts",
"for",
"NE",
"##M",
"and",
"Bit",
"##co",
"##in",
"were",
"ranked",
"(",
"densely",
";",
"accounts",
"with",
"the",
"same",
"score",
"/",
"balance",
"were",
"given",
"the",
"same",
"rank",
")",
"based",
"on",
"vest",
"##ed",
"balance",
"##s",
"and",
"importance",
"scores",
"and",
"looked",
"at",
"the",
"differences",
"in",
"ranks",
"between",
"the",
"two",
"metric",
"##s",
".",
"Table",
"1",
":",
"Di",
"##fference",
"##s",
"between",
"NE",
"##M",
"account",
"ranks",
"for",
"importance",
"scores",
"vs",
"."
] | NEM White paper | 675 |
10 of 54
4.2 Importance transfer transactions
NEM allows an account to lease its harvesting power to another account through an
importance transfer transaction. This is known as delegated harvesting. This allows the
original account to use its importance to harvest on a remote server (such as a virtual
private server (VPS)) without needing to have its private key openly exposed on the
server. In fact, this feature allows accounts in cold storage to harvest without putting
any funds at risk.
The fee | [
21531,
1174,
5233,
1116,
119,
2196,
1103,
2686,
1111,
5756,
1107,
1103,
26546,
2107,
13618,
10873,
1105,
11389,
123,
131,
12120,
20954,
1116,
1206,
27400,
2528,
1394,
3300,
6496,
1111,
4495,
7432,
5016,
119,
21531,
1174,
5233,
1116,
119,
2196,
1103,
2686,
1104,
5662,
27400,
2528,
1394,
5756,
119,
8007,
117,
26546,
2107,
5756,
3616,
1118,
4495,
7432,
1127,
3616,
2324,
3081,
1604,
6496,
2211,
1190,
1165,
3616,
1118,
21531,
1174,
5233,
1116,
119,
1109,
3987,
1200,
1544,
1104,
5756,
10558,
1118,
1126,
1903,
1104,
3140,
1495,
6496,
1229,
1103,
2869,
1200,
1544,
10558,
1118,
1126,
1903,
1104,
22637,
6496,
119,
27400,
2528,
1394,
5756,
1127,
3616,
1126,
1903,
1104,
5486,
119,
126,
6496,
2211,
1165,
3616,
1114,
4495,
7432,
1190,
1165,
3616,
1118,
21531,
1174,
5233,
1116,
119,
1109,
2869,
1200,
1544,
1104,
5756,
3388,
1126,
1903,
1104,
123,
117,
5615,
1527,
6496,
1105,
1103,
3987,
1200,
1544,
1575,
1126,
1903,
1104,
123,
117,
22173,
6496,
119,
1188,
5401,
1115,
18959,
2240,
3114,
1750,
21718,
7174,
3633,
2905,
1106,
3987,
1200,
5756,
1190,
18959,
1708,
119,
11389,
122,
131,
12120,
20954,
1116,
1206,
26546,
2107,
3300,
6496,
1111,
4495,
7432,
5016,
119,
21531,
1174,
171,
1348,
118,
1126,
7723,
119,
1903,
3997,
2773,
1111,
4495,
5016,
17930,
113,
2869,
1544,
114,
131,
118,
22637,
119,
125,
1903,
3997,
2773,
1111,
4495,
5016,
17930,
113,
3987,
1544,
114,
131,
118,
3140,
1495,
119,
129,
1903,
3997,
2773,
1111,
4495,
5016,
17930,
131,
118,
3081,
1604,
119,
122,
8500,
1969,
1104,
4335,
11389,
123,
131,
12120,
20954,
1116,
1206,
27400,
2528,
1394,
3300,
6496,
1111,
4495,
7432,
5016,
119,
21531,
1174,
5233,
1116,
119,
1903,
3997,
2773,
1111,
4495,
5016,
17930,
113,
2869,
1544,
114,
131,
25567,
1527,
119,
127,
1903,
3997,
2773,
1111,
4495,
5016,
17930,
113,
3987,
1544,
114,
131,
118,
1853,
1527,
1580,
119,
127,
1903,
3997,
2773,
1111,
4495,
5016,
17930,
131,
118,
5486,
119,
126,
8500,
3746,
1104,
4335,
121,
2363,
3434,
4372,
4645,
6087,
15508,
22612,
15567,
183,
1582,
3300,
113,
8219,
117,
26457,
114,
1275,
118,
127,
1275,
118,
126,
1275,
118,
125,
1275,
118,
124,
1275,
118,
123,
1275,
118,
122,
1275,
121,
183,
184,
187,
1306,
170,
181,
1182,
195,
174,
173,
188,
172,
184,
1231,
113,
25338,
176,
114,
4495,
1116,
17930,
113,
170,
114,
121,
6087,
1568,
1539,
1568,
11975,
1568,
21955,
1568,
13837,
1568,
4372,
7629,
183,
1582,
3300,
113,
8219,
117,
26457,
114,
1275,
118,
128,
1275,
118,
127,
1275,
118,
126,
1275,
118,
125,
1275,
118,
124,
1275,
118,
123,
1275,
118,
122,
1275,
121,
183,
184,
187,
1306,
170,
181,
1182,
195,
174,
173,
188,
172,
184,
1231,
113,
25338,
176,
114,
4495,
1116,
17930,
113,
171,
114,
15982,
1429,
131,
146,
24729,
16242,
3633,
7432,
1105,
21531,
1174,
5233,
1116,
1111,
5756,
1107,
1103,
25039,
118,
7408,
18005,
1104,
1103,
113,
170,
114,
26546,
2107,
1105,
113,
171,
114,
27400,
2528,
1394,
13618,
21562,
1132,
4928,
1906,
119,
146,
24729,
16242,
3633,
7432,
1105,
21531,
1174,
5233,
1116,
1127,
2999,
2200,
1106,
7584,
1106,
11721
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"vest",
"##ed",
"balance",
"##s",
".",
"shows",
"the",
"results",
"for",
"accounts",
"in",
"the",
"NE",
"##M",
"transaction",
"graph",
"and",
"Table",
"2",
":",
"Di",
"##fference",
"##s",
"between",
"Bit",
"##co",
"##in",
"account",
"ranks",
"for",
"importance",
"scores",
"vs",
".",
"vest",
"##ed",
"balance",
"##s",
".",
"shows",
"the",
"results",
"of",
"ranking",
"Bit",
"##co",
"##in",
"accounts",
".",
"Overall",
",",
"NE",
"##M",
"accounts",
"ranked",
"by",
"importance",
"scores",
"were",
"ranked",
"approximately",
"33",
"##8",
"ranks",
"lower",
"than",
"when",
"ranked",
"by",
"vest",
"##ed",
"balance",
"##s",
".",
"The",
"rich",
"##er",
"half",
"of",
"accounts",
"decreased",
"by",
"an",
"average",
"of",
"44",
"##3",
"ranks",
"while",
"the",
"poor",
"##er",
"half",
"decreased",
"by",
"an",
"average",
"of",
"232",
"ranks",
".",
"Bit",
"##co",
"##in",
"accounts",
"were",
"ranked",
"an",
"average",
"of",
"67",
".",
"5",
"ranks",
"lower",
"when",
"ranked",
"with",
"importance",
"scores",
"than",
"when",
"ranked",
"by",
"vest",
"##ed",
"balance",
"##s",
".",
"The",
"poor",
"##er",
"half",
"of",
"accounts",
"gained",
"an",
"average",
"of",
"2",
",",
"81",
"##4",
"ranks",
"and",
"the",
"rich",
"##er",
"half",
"lost",
"an",
"average",
"of",
"2",
",",
"950",
"ranks",
".",
"This",
"suggests",
"that",
"Po",
"##I",
"gives",
"less",
"sa",
"##lie",
"##nce",
"overall",
"to",
"rich",
"##er",
"accounts",
"than",
"Po",
"##S",
".",
"Table",
"1",
":",
"Di",
"##fference",
"##s",
"between",
"NE",
"##M",
"account",
"ranks",
"for",
"importance",
"scores",
"vs",
".",
"vest",
"##ed",
"b",
"##al",
"-",
"an",
"##ces",
".",
"average",
"rank",
"increase",
"for",
"importance",
"vs",
"stakes",
"(",
"poor",
"half",
")",
":",
"-",
"232",
".",
"4",
"average",
"rank",
"increase",
"for",
"importance",
"vs",
"stakes",
"(",
"rich",
"half",
")",
":",
"-",
"44",
"##3",
".",
"8",
"average",
"rank",
"increase",
"for",
"importance",
"vs",
"stakes",
":",
"-",
"33",
"##8",
".",
"1",
"Page",
"40",
"of",
"54",
"Table",
"2",
":",
"Di",
"##fference",
"##s",
"between",
"Bit",
"##co",
"##in",
"account",
"ranks",
"for",
"importance",
"scores",
"vs",
".",
"vest",
"##ed",
"balance",
"##s",
".",
"average",
"rank",
"increase",
"for",
"importance",
"vs",
"stakes",
"(",
"poor",
"half",
")",
":",
"281",
"##4",
".",
"6",
"average",
"rank",
"increase",
"for",
"importance",
"vs",
"stakes",
"(",
"rich",
"half",
")",
":",
"-",
"29",
"##4",
"##9",
".",
"6",
"average",
"rank",
"increase",
"for",
"importance",
"vs",
"stakes",
":",
"-",
"67",
".",
"5",
"Page",
"41",
"of",
"54",
"0",
"200",
"400",
"600",
"800",
"1000",
"1200",
"1400",
"1600",
"n",
"##th",
"account",
"(",
"stake",
",",
"ascending",
")",
"10",
"-",
"6",
"10",
"-",
"5",
"10",
"-",
"4",
"10",
"-",
"3",
"10",
"-",
"2",
"10",
"-",
"1",
"10",
"0",
"n",
"o",
"r",
"##m",
"a",
"l",
"##i",
"z",
"e",
"d",
"s",
"c",
"o",
"re",
"(",
"lo",
"g",
")",
"importance",
"##s",
"stakes",
"(",
"a",
")",
"0",
"1000",
"##0",
"2000",
"##0",
"3000",
"##0",
"4000",
"##0",
"5000",
"##0",
"600",
"##00",
"n",
"##th",
"account",
"(",
"stake",
",",
"ascending",
")",
"10",
"-",
"7",
"10",
"-",
"6",
"10",
"-",
"5",
"10",
"-",
"4",
"10",
"-",
"3",
"10",
"-",
"2",
"10",
"-",
"1",
"10",
"0",
"n",
"o",
"r",
"##m",
"a",
"l",
"##i",
"z",
"e",
"d",
"s",
"c",
"o",
"re",
"(",
"lo",
"g",
")",
"importance",
"##s",
"stakes",
"(",
"b",
")",
"Figure",
"11",
":",
"I",
"##mpo",
"##rta",
"##nce",
"scores",
"and",
"vest",
"##ed",
"balance",
"##s",
"for",
"accounts",
"in",
"the",
"harvesting",
"-",
"eligible",
"subset",
"of",
"the",
"(",
"a",
")",
"NE",
"##M",
"and",
"(",
"b",
")",
"Bit",
"##co",
"##in",
"transaction",
"graphs",
"are",
"plot",
"##ted",
".",
"I",
"##mpo",
"##rta",
"##nce",
"scores",
"and",
"vest",
"##ed",
"balance",
"##s",
"were",
"normal",
"##ized",
"to",
"sum",
"to",
"unity"
] | NEM White paper | 676 |
for an importance transfer transaction is .15 XEM.
4.2.1 Activating
An account can enable delegated harvesting by sending a special importance transfer
transaction that specifies the delegated account.
After the importance transfer transaction is accepted by the network, 360 confirma-
tions are needed before delegated harvesting activation is complete.
During the activation period, only the original account can harvest but the delegated
account cannot. After the activation period, only the delegated a | [
113,
122,
119,
121,
114,
117,
1114,
5756,
21805,
1107,
1112,
25981,
118,
16664,
1546,
119,
144,
14543,
9524,
1132,
4928,
1906,
1113,
1103,
194,
118,
9840,
1114,
170,
9366,
3418,
117,
3525,
170,
2330,
7577,
1206,
8219,
1105,
4495,
7432,
117,
1105,
5756,
1132,
1113,
1103,
193,
118,
9840,
119,
8500,
3565,
1104,
4335,
113,
170,
114,
113,
171,
114,
15982,
1367,
131,
26546,
2107,
13618,
21562,
1187,
14372,
10855,
21185,
2999,
2200,
113,
170,
114,
4495,
7432,
1105,
113,
171,
114,
21531,
1174,
5233,
1116,
119,
14508,
2734,
1110,
1758,
1107,
4841,
25461,
128,
119,
129,
131,
3291,
8223,
10832,
4495,
1106,
8219,
119,
8500,
3887,
1104,
4335,
129,
2614,
188,
27250,
8167,
11153,
8569,
107,
1192,
4511,
1315,
1277,
1159,
1113,
174,
27801,
4027,
2225,
119,
1109,
2656,
1104,
2030,
2146,
1132,
14554,
1193,
4003,
3384,
26906,
1104,
1103,
1675,
119,
1220,
10489,
1304,
1976,
119,
1192,
1431,
2373,
1167,
1385,
2146,
119,
1109,
18046,
119,
25845,
119,
107,
118,
8615,
14812,
2087,
1968,
149,
178,
2391,
1211,
1168,
5354,
6451,
1186,
16408,
11604,
9885,
117,
26546,
2107,
17918,
1113,
1159,
13321,
1111,
14409,
1105,
5511,
119,
146,
18747,
6071,
117,
1155,
15029,
1107,
1103,
2443,
1431,
1129,
188,
27250,
8167,
25331,
1114,
4161,
1106,
1159,
119,
2431,
1463,
1211,
2030,
3389,
2344,
1138,
1159,
188,
27250,
8167,
11153,
8569,
6576,
117,
15029,
1169,
1253,
1138,
1469,
24998,
1115,
1260,
7137,
1566,
1121,
1842,
1159,
1118,
1167,
1190,
170,
2517,
119,
1188,
4680,
1343,
15029,
1106,
16589,
9221,
14409,
1137,
5511,
117,
1134,
2228,
1122,
4763,
1111,
1172,
1106,
188,
27250,
8167,
11153,
3171,
1114,
1103,
2443,
119,
1135,
1110,
3335,
1834,
1106,
1138,
170,
188,
27250,
8167,
11153,
8569,
6978,
1106,
4989,
1155,
15029,
5340,
1113,
1159,
119,
1247,
1132,
11519,
1160,
3242,
1106,
1202,
1142,
131,
122,
119,
11696,
1126,
3685,
11309,
117,
1216,
1112,
151,
17433,
123,
119,
11696,
170,
8156,
11309,
1109,
4316,
1104,
1606,
1126,
3685,
11309,
1176,
151,
17433,
1110,
1115,
1122,
1110,
3123,
1106,
10407,
1105,
1103,
2443,
1159,
1209,
1579,
1129,
1485,
1842,
1159,
119,
1188,
1144,
1103,
22611,
1115,
1103,
2443,
17918,
1113,
16096,
1796,
1103,
2443,
119,
7993,
170,
8156,
11309,
1115,
1178,
17918,
1113,
1103,
153,
1477,
2101,
2443,
2111,
9474,
1116,
1142,
2463,
117,
1133,
1175,
1110,
170,
2597,
1228,
119,
1135,
1110,
4763,
1106,
11865,
1115,
1103,
2443,
1159,
1110,
1579,
1485,
1842,
1159,
119,
1370,
1126,
24431,
1166,
1472,
8156,
19755,
1267,
1111,
1859,
164,
1367,
166,
119,
26546,
2107,
2745,
170,
8156,
11309,
1107,
1546,
1106,
1129,
2423,
2457,
1121,
1251,
1796,
9127,
119,
129,
119,
122,
26532,
8025,
2994,
14372,
1107,
1103,
2443,
8701,
1126,
18157,
1295,
1270,
18134,
1134,
1110,
1383,
1106,
121,
1120,
1838,
119,
1109,
1469,
1449,
1159,
1107,
6159,
4862,
7235,
3680,
1107,
13782,
24674,
1118,
1103,
18134,
113,
1134,
1169,
1129,
4366,
114,
1110,
1103,
2443,
1159,
113,
1254,
1107,
6159,
4862,
7235,
3680,
114,
1104,
1103,
14372,
119,
1258,
1103,
1838,
1146,
1104,
170,
14372,
1110,
2063,
117,
1103,
14372,
113,
1303,
17495,
1200,
1270
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
13,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
13,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"(",
"1",
".",
"0",
")",
",",
"with",
"accounts",
"sorted",
"in",
"as",
"##cend",
"-",
"ing",
"order",
".",
"G",
"##rap",
"##hs",
"are",
"plot",
"##ted",
"on",
"the",
"y",
"-",
"axis",
"with",
"a",
"log",
"scale",
",",
"allowing",
"a",
"clear",
"comparison",
"between",
"stake",
"and",
"importance",
"scores",
",",
"and",
"accounts",
"are",
"on",
"the",
"x",
"-",
"axis",
".",
"Page",
"42",
"of",
"54",
"(",
"a",
")",
"(",
"b",
")",
"Figure",
"12",
":",
"NE",
"##M",
"transaction",
"graphs",
"where",
"node",
"sizes",
"denote",
"normal",
"##ized",
"(",
"a",
")",
"importance",
"scores",
"and",
"(",
"b",
")",
"vest",
"##ed",
"balance",
"##s",
".",
"Normal",
"##ization",
"is",
"described",
"in",
"sub",
"##section",
"7",
".",
"8",
":",
"Co",
"##mp",
"##aring",
"importance",
"to",
"stake",
".",
"Page",
"43",
"of",
"54",
"8",
"Time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"\"",
"You",
"spend",
"too",
"much",
"time",
"on",
"e",
"##phe",
"##mer",
"##as",
".",
"The",
"majority",
"of",
"modern",
"books",
"are",
"##mere",
"##ly",
"wave",
"##ring",
"reflections",
"of",
"the",
"present",
".",
"They",
"disappear",
"very",
"quickly",
".",
"You",
"should",
"read",
"more",
"old",
"books",
".",
"The",
"classics",
".",
"Goethe",
".",
"\"",
"-",
"Franz",
"Ka",
"##f",
"##ka",
"L",
"i",
"##ke",
"most",
"other",
"cry",
"##pt",
"##o",
"cu",
"##rre",
"##ncies",
",",
"NE",
"##M",
"relies",
"on",
"time",
"stamps",
"for",
"transactions",
"and",
"blocks",
".",
"I",
"##dea",
"##lly",
",",
"all",
"nodes",
"in",
"the",
"network",
"should",
"be",
"s",
"##ync",
"##hr",
"##onized",
"with",
"respect",
"to",
"time",
".",
"Even",
"though",
"most",
"modern",
"operating",
"systems",
"have",
"time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"integrated",
",",
"nodes",
"can",
"still",
"have",
"local",
"clocks",
"that",
"de",
"##via",
"##te",
"from",
"real",
"time",
"by",
"more",
"than",
"a",
"minute",
".",
"This",
"causes",
"those",
"nodes",
"to",
"reject",
"valid",
"transactions",
"or",
"blocks",
",",
"which",
"makes",
"it",
"impossible",
"for",
"them",
"to",
"s",
"##ync",
"##hr",
"##oni",
"##ze",
"with",
"the",
"network",
".",
"It",
"is",
"therefore",
"needed",
"to",
"have",
"a",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"mechanism",
"to",
"ensure",
"all",
"nodes",
"agree",
"on",
"time",
".",
"There",
"are",
"basically",
"two",
"ways",
"to",
"do",
"this",
":",
"1",
".",
"Use",
"an",
"existing",
"protocol",
",",
"such",
"as",
"N",
"##TP",
"2",
".",
"Use",
"a",
"custom",
"protocol",
"The",
"advantage",
"of",
"using",
"an",
"existing",
"protocol",
"like",
"N",
"##TP",
"is",
"that",
"it",
"is",
"easy",
"to",
"implement",
"and",
"the",
"network",
"time",
"will",
"always",
"be",
"near",
"real",
"time",
".",
"This",
"has",
"the",
"disadvantage",
"that",
"the",
"network",
"relies",
"on",
"servers",
"outside",
"the",
"network",
".",
"Using",
"a",
"custom",
"protocol",
"that",
"only",
"relies",
"on",
"the",
"P",
"##2",
"##P",
"network",
"itself",
"solve",
"##s",
"this",
"problem",
",",
"but",
"there",
"is",
"a",
"trade",
"off",
".",
"It",
"is",
"impossible",
"to",
"guarantee",
"that",
"the",
"network",
"time",
"is",
"always",
"near",
"real",
"time",
".",
"For",
"an",
"overview",
"over",
"different",
"custom",
"protocols",
"see",
"for",
"example",
"[",
"12",
"]",
".",
"NE",
"##M",
"uses",
"a",
"custom",
"protocol",
"in",
"order",
"to",
"be",
"completely",
"independent",
"from",
"any",
"outside",
"entity",
".",
"8",
".",
"1",
"Gathering",
"samples",
"Each",
"node",
"in",
"the",
"network",
"manages",
"an",
"integer",
"number",
"called",
"offset",
"which",
"is",
"set",
"to",
"0",
"at",
"start",
".",
"The",
"local",
"system",
"time",
"in",
"mill",
"##ise",
"##con",
"##ds",
"in",
"##cre",
"##mented",
"by",
"the",
"offset",
"(",
"which",
"can",
"be",
"negative",
")",
"is",
"the",
"network",
"time",
"(",
"again",
"in",
"mill",
"##ise",
"##con",
"##ds",
")",
"of",
"the",
"node",
".",
"After",
"the",
"start",
"up",
"of",
"a",
"node",
"is",
"completed",
",",
"the",
"node",
"(",
"here",
"##aft",
"##er",
"called"
] | NEM White paper | 677 |
ccount can harvest but
the original account cannot.
4.2.2 Deactivating
An account with delegated harvesting activated can disable delegated harvesting at any
time by sending a special importance transfer transaction that specifies the delegated
account.
After the importance transfer transaction is accepted by the network, 360 confirma-
tions are needed before delegated harvesting deactivation is complete.
During the deactivation period, only the delegated account can harvest but the original
account c | [
1469,
14372,
114,
8247,
1116,
1146,
1106,
1406,
3547,
15029,
1111,
4072,
170,
1159,
188,
27250,
8167,
11153,
8569,
1668,
119,
2809,
15029,
1115,
16479,
170,
5867,
4495,
1132,
1737,
1112,
6449,
119,
8500,
3140,
1104,
4335,
189,
1475,
189,
1477,
189,
1495,
189,
1527,
4566,
1469,
14372,
3547,
14372,
2593,
2443,
1159,
2443,
1159,
15982,
1492,
131,
10385,
1206,
1469,
1105,
3547,
14372,
119,
1370,
1155,
2700,
6449,
1103,
1469,
14372,
10130,
1149,
170,
4566,
4107,
1103,
3547,
1111,
1157,
1954,
2443,
1159,
119,
1109,
1469,
14372,
19858,
1103,
2443,
1159,
13321,
1165,
1103,
4566,
1108,
1850,
1105,
1165,
1103,
2593,
1108,
1460,
119,
2994,
3547,
14372,
17550,
1114,
170,
6876,
1115,
2515,
1103,
1159,
13182,
1104,
1103,
4870,
1104,
1103,
4566,
1105,
1103,
1159,
13182,
1104,
1103,
2593,
119,
1109,
3547,
14372,
2745,
1157,
1319,
2443,
1159,
1106,
2561,
1103,
1159,
13321,
119,
15982,
1492,
20873,
1116,
1103,
4909,
1206,
1103,
15029,
119,
7993,
1103,
1159,
13321,
117,
1103,
1469,
14372,
1169,
20446,
1103,
1668,
3868,
1159,
187,
3069,
134,
113,
189,
1527,
851,
189,
1475,
114,
851,
113,
189,
1495,
851,
189,
1477,
114,
1105,
1173,
10301,
1103,
18134,
184,
1206,
1103,
2443,
1159,
1215,
1118,
1103,
1160,
15029,
1112,
184,
134,
189,
1477,
851,
189,
1475,
851,
187,
3069,
123,
1188,
1110,
4892,
1111,
1451,
1159,
188,
27250,
8167,
11153,
8569,
3547,
1235,
1103,
1469,
14372,
1144,
170,
2190,
1104,
18134,
12890,
21517,
1116,
119,
129,
119,
123,
138,
8661,
15318,
19690,
1106,
5782,
2213,
2233,
1247,
1180,
1129,
2213,
8025,
1496,
1106,
1672,
3672,
131,
794,
138,
12477,
8031,
4179,
14372,
1169,
3880,
18238,
1159,
13321,
119,
794,
1760,
7345,
14372,
1169,
1138,
170,
4705,
1677,
1121,
1842,
1159,
1443,
3650,
1122,
1105,
1443,
1515,
188,
27250,
8167,
25331,
1870,
119,
794,
1109,
1668,
3868,
1159,
1169,
1129,
3023,
1112,
17162,
13689,
1496,
1106,
7210,
2645,
1137,
1141,
1104,
1103,
15029,
1217,
1304,
5116,
119,
1188,
1110,
1227,
1112,
3094,
1112,
17162,
21027,
1105,
2834,
1129,
9226,
119,
8500,
2532,
1104,
4335,
17355,
18041,
1116,
1132,
3666,
1115,
2222,
1106,
5782,
1103,
2213,
8025,
119,
1109,
26299,
1110,
1694,
1107,
124,
3343,
131,
122,
119,
1409,
1103,
2593,
1121,
170,
3547,
1110,
1136,
1460,
1439,
1126,
2637,
1159,
4207,
113,
178,
119,
174,
119,
1191,
189,
1527,
851,
189,
1475,
135,
6087,
4206,
114,
1103,
6876,
1110,
16041,
119,
123,
119,
1409,
1103,
10056,
18134,
1110,
1136,
1439,
2218,
22379,
117,
1103,
6876,
1110,
16041,
119,
1109,
2621,
1895,
22379,
9711,
1112,
170,
14372,
112,
188,
1146,
4974,
6986,
119,
1332,
170,
14372,
1148,
9649,
1103,
2443,
117,
1122,
21073,
1116,
170,
1344,
18134,
1107,
1546,
1106,
14878,
1106,
1103,
1640,
3685,
10923,
1104,
2443,
1159,
1439,
1103,
2443,
119,
1249,
1159,
4488,
117,
1103,
14372,
3370,
1750,
26827,
1114,
4161,
1106,
2103,
18134,
1116,
119,
1188,
23613,
1115,
12477,
8031,
4179,
15029,
7516,
3321,
18134,
1116,
1132,
5794,
1170,
1199,
1159,
119,
124,
119,
1109,
2735,
8025,
1132,
2802,
1118,
1147,
18134,
1105,
1173,
11164,
24509,
1113,
1241,
3769,
119,
1130,
1168,
1734,
117
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"local",
"node",
")",
"select",
"##s",
"up",
"to",
"20",
"partner",
"nodes",
"for",
"performing",
"a",
"time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"round",
".",
"Only",
"nodes",
"that",
"expose",
"a",
"minimum",
"importance",
"are",
"considered",
"as",
"partners",
".",
"Page",
"44",
"of",
"54",
"t",
"##1",
"t",
"##2",
"t",
"##3",
"t",
"##4",
"request",
"local",
"node",
"partner",
"node",
"response",
"network",
"time",
"network",
"time",
"Figure",
"13",
":",
"Communication",
"between",
"local",
"and",
"partner",
"node",
".",
"For",
"all",
"selected",
"partners",
"the",
"local",
"node",
"sends",
"out",
"a",
"request",
"asking",
"the",
"partner",
"for",
"its",
"current",
"network",
"time",
".",
"The",
"local",
"node",
"remembers",
"the",
"network",
"time",
"stamps",
"when",
"the",
"request",
"was",
"sent",
"and",
"when",
"the",
"response",
"was",
"received",
".",
"Each",
"partner",
"node",
"responds",
"with",
"a",
"sample",
"that",
"contains",
"the",
"time",
"stamp",
"of",
"the",
"arrival",
"of",
"the",
"request",
"and",
"the",
"time",
"stamp",
"of",
"the",
"response",
".",
"The",
"partner",
"node",
"uses",
"its",
"own",
"network",
"time",
"to",
"create",
"the",
"time",
"stamps",
".",
"Figure",
"13",
"illustrate",
"##s",
"the",
"communication",
"between",
"the",
"nodes",
".",
"Using",
"the",
"time",
"stamps",
",",
"the",
"local",
"node",
"can",
"calculate",
"the",
"round",
"trip",
"time",
"r",
"##tt",
"=",
"(",
"t",
"##4",
"β",
"t",
"##1",
")",
"β",
"(",
"t",
"##3",
"β",
"t",
"##2",
")",
"and",
"then",
"estimate",
"the",
"offset",
"o",
"between",
"the",
"network",
"time",
"used",
"by",
"the",
"two",
"nodes",
"as",
"o",
"=",
"t",
"##2",
"β",
"t",
"##1",
"β",
"r",
"##tt",
"2",
"This",
"is",
"repeated",
"for",
"every",
"time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"partner",
"until",
"the",
"local",
"node",
"has",
"a",
"list",
"of",
"offset",
"est",
"##imation",
"##s",
".",
"8",
".",
"2",
"A",
"##pp",
"##lying",
"filters",
"to",
"remove",
"bad",
"data",
"There",
"could",
"be",
"bad",
"samples",
"due",
"to",
"various",
"reasons",
":",
"β’",
"A",
"ma",
"##lic",
"##ious",
"node",
"can",
"supply",
"incorrect",
"time",
"stamps",
".",
"β’",
"An",
"honest",
"node",
"can",
"have",
"a",
"clock",
"far",
"from",
"real",
"time",
"without",
"knowing",
"it",
"and",
"without",
"having",
"s",
"##ync",
"##hr",
"##onized",
"yet",
".",
"β’",
"The",
"round",
"trip",
"time",
"can",
"be",
"highly",
"as",
"##ym",
"##metric",
"due",
"to",
"internet",
"problems",
"or",
"one",
"of",
"the",
"nodes",
"being",
"very",
"busy",
".",
"This",
"is",
"known",
"as",
"channel",
"as",
"##ym",
"##metry",
"and",
"cannot",
"be",
"avoided",
".",
"Page",
"45",
"of",
"54",
"Fi",
"##lter",
"##s",
"are",
"applied",
"that",
"try",
"to",
"remove",
"the",
"bad",
"samples",
".",
"The",
"filtering",
"is",
"done",
"in",
"3",
"steps",
":",
"1",
".",
"If",
"the",
"response",
"from",
"a",
"partner",
"is",
"not",
"received",
"within",
"an",
"expected",
"time",
"frame",
"(",
"i",
".",
"e",
".",
"if",
"t",
"##4",
"β",
"t",
"##1",
">",
"1000",
"##ms",
")",
"the",
"sample",
"is",
"discarded",
".",
"2",
".",
"If",
"the",
"calculated",
"offset",
"is",
"not",
"within",
"certain",
"bounds",
",",
"the",
"sample",
"is",
"discarded",
".",
"The",
"allow",
"##able",
"bounds",
"decrease",
"as",
"a",
"node",
"'",
"s",
"up",
"##time",
"increases",
".",
"When",
"a",
"node",
"first",
"joins",
"the",
"network",
",",
"it",
"tolerate",
"##s",
"a",
"high",
"offset",
"in",
"order",
"to",
"adjust",
"to",
"the",
"already",
"existing",
"consensus",
"of",
"network",
"time",
"within",
"the",
"network",
".",
"As",
"time",
"passes",
",",
"the",
"node",
"gets",
"less",
"tolerant",
"with",
"respect",
"to",
"reported",
"offset",
"##s",
".",
"This",
"ensures",
"that",
"ma",
"##lic",
"##ious",
"nodes",
"reporting",
"huge",
"offset",
"##s",
"are",
"ignored",
"after",
"some",
"time",
".",
"3",
".",
"The",
"remaining",
"samples",
"are",
"ordered",
"by",
"their",
"offset",
"and",
"then",
"alpha",
"trimmed",
"on",
"both",
"ends",
".",
"In",
"other",
"words",
","
] | NEM White paper | 678 |
annot. After the deactivation period, only the original account can harvest but
the delegated account cannot.
4.3 Multisig related transaction types
NEM natively supports m-of-n multisignature accounts.
NEM multisig transactions have been designed with flexibility in mind. Any other
Page 11 of 54
transaction (as of now: importance transfer, transfer, aggregate modification), can be
wrapped in a multisig transaction.
A Multisig transaction itself cannot be wrapped inside another multisig transactio | [
1113,
1241,
3091,
170,
2218,
3849,
1104,
1103,
8025,
1110,
16041,
119,
129,
119,
124,
11917,
21608,
2116,
1104,
1103,
3903,
18134,
1109,
2103,
18134,
1110,
20167,
1114,
1103,
4495,
1104,
1103,
10909,
3300,
1104,
1103,
14372,
7516,
1103,
18134,
119,
1188,
1110,
1694,
1106,
3843,
156,
1183,
15197,
3690,
119,
1760,
19114,
1115,
4642,
1106,
2933,
1103,
10056,
18134,
1118,
1919,
1242,
15029,
1114,
1822,
4495,
1116,
7516,
18134,
1116,
1601,
1106,
1103,
21073,
1181,
4930,
1209,
3335,
1136,
1138,
170,
6706,
2933,
1190,
170,
1423,
14372,
1515,
1103,
1269,
27574,
4495,
7516,
1103,
1269,
18134,
119,
1109,
2933,
1104,
1103,
19114,
1209,
1129,
4463,
1106,
1103,
2933,
1104,
1103,
1423,
14372,
1113,
170,
23639,
2180,
1634,
119,
2907,
117,
1103,
2849,
1104,
8025,
1115,
1132,
1907,
1105,
1103,
27574,
4495,
1104,
1155,
3547,
15029,
1431,
1129,
4572,
119,
2994,
18134,
1110,
3335,
4321,
18148,
1114,
170,
188,
7867,
1158,
5318,
119,
2421,
146,
3361,
1129,
1103,
4495,
1104,
1103,
14372,
7516,
1103,
179,
118,
24438,
18134,
184,
3361,
1105,
2458,
1708,
3708,
1129,
1103,
1295,
1104,
8025,
3233,
1118,
1103,
1295,
1104,
15029,
1115,
1127,
7408,
1111,
1103,
1314,
18959,
2240,
19218,
119,
1599,
1103,
188,
7867,
1158,
5318,
1215,
1110,
3418,
134,
11241,
113,
100,
179,
146,
3361,
117,
122,
2458,
1708,
3708,
114,
1188,
3114,
1103,
7893,
1111,
1103,
3903,
18134,
184,
184,
134,
3418,
100,
179,
146,
3361,
184,
3361,
8500,
3993,
1104,
4335,
121,
126,
1275,
1405,
1406,
121,
119,
123,
121,
119,
125,
121,
119,
127,
121,
119,
129,
122,
1668,
1884,
1146,
181,
1394,
176,
15982,
1489,
131,
3291,
4455,
1979,
5318,
5322,
1115,
1103,
2933,
1104,
1126,
3300,
1114,
1415,
4495,
1110,
8246,
1193,
2609,
1272,
1103,
2458,
1708,
3708,
10184,
1103,
3418,
119,
5723,
1126,
3300,
1169,
4693,
1157,
2933,
1113,
170,
23639,
2180,
1634,
1118,
15601,
1157,
26546,
2107,
1154,
5756,
1115,
1132,
1136,
14510,
119,
1252,
117,
1833,
1177,
1209,
2620,
9711,
1157,
2933,
1113,
2510,
6449,
1272,
1103,
9750,
1115,
1155,
1104,
1157,
3325,
5756,
1132,
3468,
1112,
1159,
118,
188,
27250,
6449,
1111,
1251,
1423,
14372,
1110,
1822,
119,
129,
119,
125,
3291,
4455,
1979,
1105,
11810,
1203,
15029,
1115,
1198,
1688,
1103,
2443,
1444,
1106,
1976,
14878,
1147,
18134,
1106,
1103,
1640,
1628,
2443,
1159,
119,
1130,
5014,
117,
1385,
15029,
1431,
18492,
170,
1974,
1167,
12135,
1107,
1546,
1106,
1136,
1243,
4401,
1118,
12477,
8031,
4179,
15029,
1137,
25551,
1116,
1315,
1277,
119,
1130,
1546,
1106,
9396,
1142,
117,
15029,
1178,
14878,
170,
3849,
1104,
1103,
2103,
3903,
18134,
119,
1302,
4704,
4321,
1643,
1193,
1103,
3903,
18134,
1114,
170,
22728,
5318,
1106,
3076,
1103,
1509,
18134,
119,
2994,
14372,
7634,
1854,
1104,
1103,
1295,
1104,
1159,
188,
27250,
8167,
11153,
8569,
5720,
1122,
1144,
1982,
119,
1188,
1110,
1270,
1103,
14372,
1425,
119,
1109,
7893,
1111,
1142,
22728,
5318,
172,
1110,
131,
172,
134,
12477,
1775,
113,
174,
25532,
1568,
119,
124,
1161,
117,
121,
119,
122,
114,
1187,
170,
134,
12477,
1775,
113,
14372,
1592,
2176,
25532,
126,
117,
121,
114,
1188
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"on",
"both",
"sides",
"a",
"certain",
"portion",
"of",
"the",
"samples",
"is",
"discarded",
".",
"8",
".",
"3",
"Cal",
"##cula",
"##tion",
"of",
"the",
"effective",
"offset",
"The",
"reported",
"offset",
"is",
"weighted",
"with",
"the",
"importance",
"of",
"the",
"boot",
"account",
"of",
"the",
"node",
"reporting",
"the",
"offset",
".",
"This",
"is",
"done",
"to",
"prevent",
"S",
"##y",
"##bil",
"attacks",
".",
"An",
"attacker",
"that",
"tries",
"to",
"influence",
"the",
"calculated",
"offset",
"by",
"running",
"many",
"nodes",
"with",
"low",
"importance",
"##s",
"reporting",
"offset",
"##s",
"close",
"to",
"the",
"tolerate",
"##d",
"bound",
"will",
"therefore",
"not",
"have",
"a",
"bigger",
"influence",
"than",
"a",
"single",
"node",
"having",
"the",
"same",
"cumulative",
"importance",
"reporting",
"the",
"same",
"offset",
".",
"The",
"influence",
"of",
"the",
"attacker",
"will",
"be",
"equal",
"to",
"the",
"influence",
"of",
"the",
"single",
"node",
"on",
"a",
"mac",
"##ro",
"level",
".",
"Also",
",",
"the",
"numbers",
"of",
"samples",
"that",
"are",
"available",
"and",
"the",
"cumulative",
"importance",
"of",
"all",
"partner",
"nodes",
"should",
"be",
"incorporated",
".",
"Each",
"offset",
"is",
"therefore",
"multi",
"##plied",
"with",
"a",
"s",
"##cal",
"##ing",
"factor",
".",
"Let",
"I",
"##j",
"be",
"the",
"importance",
"of",
"the",
"node",
"reporting",
"the",
"j",
"-",
"th",
"offset",
"o",
"##j",
"and",
"view",
"##S",
"##ize",
"be",
"the",
"number",
"of",
"samples",
"divided",
"by",
"the",
"number",
"of",
"nodes",
"that",
"were",
"eligible",
"for",
"the",
"last",
"Po",
"##I",
"calculation",
".",
"Then",
"the",
"s",
"##cal",
"##ing",
"factor",
"used",
"is",
"scale",
"=",
"min",
"(",
"[UNK]",
"j",
"I",
"##j",
",",
"1",
"view",
"##S",
"##ize",
")",
"This",
"gives",
"the",
"formula",
"for",
"the",
"effective",
"offset",
"o",
"o",
"=",
"scale",
"[UNK]",
"j",
"I",
"##j",
"o",
"##j",
"Page",
"46",
"of",
"54",
"0",
"5",
"10",
"15",
"20",
"0",
".",
"2",
"0",
".",
"4",
"0",
".",
"6",
"0",
".",
"8",
"1",
"round",
"co",
"up",
"l",
"##in",
"g",
"Figure",
"14",
":",
"Co",
"##up",
"##ling",
"factor",
"Note",
"that",
"the",
"influence",
"of",
"an",
"account",
"with",
"large",
"importance",
"is",
"artificial",
"##ly",
"limited",
"because",
"the",
"view",
"##S",
"##ize",
"caps",
"the",
"scale",
".",
"Such",
"an",
"account",
"can",
"raise",
"its",
"influence",
"on",
"a",
"mac",
"##ro",
"level",
"by",
"splitting",
"its",
"NE",
"##M",
"into",
"accounts",
"that",
"are",
"not",
"capped",
".",
"But",
",",
"doing",
"so",
"will",
"likely",
"decrease",
"its",
"influence",
"on",
"individual",
"partners",
"because",
"the",
"probability",
"that",
"all",
"of",
"its",
"split",
"accounts",
"are",
"chosen",
"as",
"time",
"-",
"s",
"##ync",
"partners",
"for",
"any",
"single",
"node",
"is",
"low",
".",
"8",
".",
"4",
"Co",
"##up",
"##ling",
"and",
"threshold",
"New",
"nodes",
"that",
"just",
"joined",
"the",
"network",
"need",
"to",
"quickly",
"adjust",
"their",
"offset",
"to",
"the",
"already",
"established",
"network",
"time",
".",
"In",
"contrast",
",",
"old",
"nodes",
"should",
"behave",
"a",
"lot",
"more",
"rigid",
"in",
"order",
"to",
"not",
"get",
"influenced",
"by",
"ma",
"##lic",
"##ious",
"nodes",
"or",
"newcomer",
"##s",
"too",
"much",
".",
"In",
"order",
"to",
"enable",
"this",
",",
"nodes",
"only",
"adjust",
"a",
"portion",
"of",
"the",
"reported",
"effective",
"offset",
".",
"No",
"##des",
"multi",
"##p",
"##ly",
"the",
"effective",
"offset",
"with",
"a",
"coupling",
"factor",
"to",
"build",
"the",
"final",
"offset",
".",
"Each",
"node",
"keeps",
"track",
"of",
"the",
"number",
"of",
"time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"rounds",
"it",
"has",
"performed",
".",
"This",
"is",
"called",
"the",
"node",
"age",
".",
"The",
"formula",
"for",
"this",
"coupling",
"factor",
"c",
"is",
":",
"c",
"=",
"ma",
"##x",
"(",
"e",
"##β",
"##0",
".",
"3",
"##a",
",",
"0",
".",
"1",
")",
"where",
"a",
"=",
"ma",
"##x",
"(",
"node",
"##A",
"##ge",
"##β",
"5",
",",
"0",
")",
"This"
] | NEM White paper | 679 |
n.
4.3.1 Aggregate modification transactions (multisig modification)
Creating a multisig account An account can be converted into a multisig account
by sending a special aggregate modification transaction that is signed by the multisig
account. The transaction specifies information about the cosignatories. The number of
cosignatories is limited to 32.
Subsequently, no transactions can be initiated from the multisig account.
Modifying a multisig account After a multisig account has been created, a cosi | [
23613,
1115,
1103,
22728,
5318,
1209,
1129,
122,
1111,
126,
5720,
1105,
1173,
14352,
4252,
5674,
21222,
21323,
1106,
121,
119,
122,
119,
4428,
117,
170,
14372,
1178,
9807,
1251,
10056,
1509,
18134,
1106,
1157,
4422,
18134,
1191,
1103,
7846,
8500,
3862,
1104,
4335,
2860,
1110,
1807,
170,
1549,
11810,
113,
1971,
1383,
1106,
3453,
4206,
114,
119,
1188,
1110,
3903,
1107,
10878,
3345,
13648,
1116,
1104,
1103,
2443,
1159,
1496,
1106,
1103,
4909,
1206,
15029,
1515,
3094,
1112,
17162,
21027,
119,
8500,
3615,
1104,
4335,
130,
3998,
107,
1370,
1184,
1110,
1122,
136,
4302,
1133,
170,
1376,
1892,
1105,
6476,
132,
170,
2727,
1104,
2443,
117,
20533,
1149,
1104,
10846,
117,
9485,
117,
1105,
1893,
15297,
6061,
1487,
119,
107,
118,
6042,
27758,
9261,
3285,
157,
1119,
26546,
2107,
2443,
1110,
11561,
1104,
151,
6258,
15029,
119,
2994,
14372,
1110,
2628,
1114,
170,
1423,
2425,
3300,
117,
1134,
1110,
1215,
1106,
16047,
2193,
11317,
1118,
1115,
14372,
119,
1188,
17356,
1126,
19114,
1121,
24034,
18608,
3798,
170,
14372,
1443,
1515,
1157,
2029,
2501,
1256,
1191,
1119,
1169,
188,
5674,
10008,
1103,
14372,
112,
188,
14274,
4134,
119,
2994,
151,
6258,
14372,
1144,
1103,
1378,
9566,
11106,
131,
794,
11437,
1116,
119,
14372,
2162,
4060,
2875,
118,
1103,
1295,
1104,
1168,
15029,
1106,
1134,
1103,
1469,
14372,
1431,
4728,
118,
2641,
1869,
794,
11437,
1116,
119,
1159,
1708,
27250,
2249,
13040,
2162,
4060,
2875,
118,
1103,
1295,
1104,
1168,
15029,
1103,
1469,
14372,
2745,
1106,
188,
5730,
118,
22572,
3484,
3708,
1157,
4705,
2237,
129,
131,
2614,
188,
27250,
8167,
11153,
8569,
16304,
117,
11437,
1116,
119,
1159,
1708,
27250,
2249,
13040,
2162,
4060,
2875,
1431,
1129,
2610,
1190,
11437,
1116,
119,
14372,
2162,
4060,
2875,
1107,
1546,
1106,
2621,
1618,
1159,
5307,
1158,
119,
1188,
2762,
112,
189,
1315,
5865,
1272,
1103,
2233,
3175,
1112,
1226,
1104,
1159,
188,
27250,
8167,
11153,
8569,
1110,
3860,
1353,
119,
130,
119,
122,
1302,
2007,
17580,
151,
6258,
15029,
10621,
5690,
2310,
1606,
170,
18287,
13480,
3536,
1118,
12973,
119,
1188,
3536,
20220,
1116,
2443,
22965,
1118,
10114,
1158,
11458,
1105,
6165,
1118,
7914,
1103,
2616,
1104,
7838,
2734,
1105,
3532,
19860,
2734,
119,
1130,
1864,
117,
1155,
151,
6258,
20480,
1116,
1619,
11458,
12544,
1107,
1719,
1103,
26546,
2107,
18287,
13480,
3536,
1137,
147,
23161,
2249,
119,
1130,
1546,
1106,
3843,
24034,
18608,
1891,
118,
1359,
3690,
117,
151,
6258,
15029,
8306,
1107,
170,
1160,
1226,
1289,
118,
5854,
1165,
23968,
131,
122,
119,
1109,
1469,
14372,
10130,
1103,
4566,
2233,
1105,
170,
7091,
3324,
118,
1118,
1566,
21586,
1106,
1103,
6456,
14372,
119,
123,
119,
1109,
6456,
14372,
5300,
1103,
7091,
21586,
1105,
10130,
1103,
8250,
1373,
1114,
1103,
6792,
2593,
2233,
1171,
1106,
1103,
1469,
14372,
119,
124,
119,
1109,
1469,
14372,
15008,
1103,
8250,
1105,
1178,
5669,
1103,
2593,
2233,
1191,
1122,
1169,
23073,
1115,
1103,
6456,
14372,
1878,
1103,
7091,
21586,
119,
8500,
3927,
1104,
4335,
189,
1475,
189,
1477,
189,
1495,
189,
1527,
4566,
116,
7091,
2233,
1469,
14372,
3547,
14372,
2593,
116,
7091,
2233,
8250
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"ensures",
"that",
"the",
"coupling",
"factor",
"will",
"be",
"1",
"for",
"5",
"rounds",
"and",
"then",
"decay",
"ex",
"##po",
"##nent",
"##ially",
"to",
"0",
".",
"1",
".",
"Finally",
",",
"a",
"node",
"only",
"adds",
"any",
"calculated",
"final",
"offset",
"to",
"its",
"internal",
"offset",
"if",
"the",
"absolute",
"Page",
"47",
"of",
"54",
"value",
"is",
"above",
"a",
"given",
"threshold",
"(",
"currently",
"set",
"to",
"75",
"##ms",
")",
".",
"This",
"is",
"effective",
"in",
"preventing",
"slow",
"drift",
"##s",
"of",
"the",
"network",
"time",
"due",
"to",
"the",
"communication",
"between",
"nodes",
"having",
"channel",
"as",
"##ym",
"##metry",
".",
"Page",
"48",
"of",
"54",
"9",
"Network",
"\"",
"For",
"what",
"is",
"it",
"?",
"Nothing",
"but",
"a",
"little",
"blood",
"and",
"bones",
";",
"a",
"piece",
"of",
"network",
",",
"wrought",
"out",
"of",
"nerves",
",",
"veins",
",",
"and",
"art",
"##eries",
"twisted",
"together",
".",
"\"",
"-",
"Marcus",
"Au",
"##rel",
"##ius",
"T",
"he",
"NE",
"##M",
"network",
"is",
"comprised",
"of",
"N",
"##IS",
"nodes",
".",
"Each",
"node",
"is",
"associated",
"with",
"a",
"single",
"primary",
"account",
",",
"which",
"is",
"used",
"to",
"authentic",
"##ate",
"responses",
"by",
"that",
"node",
".",
"This",
"prevents",
"an",
"attacker",
"from",
"imp",
"##erson",
"##ating",
"a",
"node",
"without",
"having",
"its",
"private",
"key",
"even",
"if",
"he",
"can",
"s",
"##po",
"##of",
"the",
"node",
"'",
"s",
"IP",
"address",
".",
"Each",
"N",
"##IS",
"node",
"has",
"the",
"following",
"configuration",
"settings",
":",
"β’",
"ni",
"##s",
".",
"node",
"##L",
"##im",
"##it",
"-",
"the",
"number",
"of",
"other",
"nodes",
"to",
"which",
"the",
"local",
"node",
"should",
"broad",
"-",
"cast",
"information",
"β’",
"ni",
"##s",
".",
"time",
"##S",
"##ync",
"##N",
"##ode",
"##L",
"##im",
"##it",
"-",
"the",
"number",
"of",
"other",
"nodes",
"the",
"local",
"node",
"uses",
"to",
"s",
"##yn",
"-",
"ch",
"##ron",
"##ize",
"its",
"clock",
"section",
"8",
":",
"Time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"Typically",
",",
"ni",
"##s",
".",
"time",
"##S",
"##ync",
"##N",
"##ode",
"##L",
"##im",
"##it",
"should",
"be",
"larger",
"than",
"ni",
"##s",
".",
"node",
"##L",
"##im",
"##it",
"in",
"order",
"to",
"allow",
"better",
"time",
"smooth",
"##ing",
".",
"This",
"isn",
"'",
"t",
"too",
"expensive",
"because",
"the",
"data",
"transferred",
"as",
"part",
"of",
"time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"is",
"relatively",
"small",
".",
"9",
".",
"1",
"No",
"##de",
"Protocol",
"N",
"##IS",
"nodes",
"communicate",
"amongst",
"themselves",
"using",
"a",
"proprietary",
"binary",
"format",
"by",
"default",
".",
"This",
"format",
"minimize",
"##s",
"network",
"bandwidth",
"by",
"compact",
"##ing",
"requests",
"and",
"processing",
"by",
"reducing",
"the",
"cost",
"of",
"serial",
"##ization",
"and",
"des",
"##erial",
"##ization",
".",
"In",
"fact",
",",
"all",
"N",
"##IS",
"API",
"##s",
"support",
"requests",
"encoded",
"in",
"either",
"the",
"NE",
"##M",
"proprietary",
"binary",
"format",
"or",
"J",
"##SO",
"##N",
".",
"In",
"order",
"to",
"prevent",
"imp",
"##erson",
"##ation",
"-",
"based",
"attacks",
",",
"N",
"##IS",
"nodes",
"engage",
"in",
"a",
"two",
"part",
"hand",
"-",
"shake",
"when",
"communicating",
":",
"1",
".",
"The",
"local",
"node",
"sends",
"the",
"request",
"data",
"and",
"a",
"random",
"64",
"-",
"by",
"##te",
"payload",
"to",
"the",
"remote",
"node",
".",
"2",
".",
"The",
"remote",
"node",
"signs",
"the",
"random",
"payload",
"and",
"sends",
"the",
"signature",
"along",
"with",
"the",
"requested",
"response",
"data",
"back",
"to",
"the",
"local",
"node",
".",
"3",
".",
"The",
"local",
"node",
"checks",
"the",
"signature",
"and",
"only",
"processes",
"the",
"response",
"data",
"if",
"it",
"can",
"verify",
"that",
"the",
"remote",
"node",
"signed",
"the",
"random",
"payload",
".",
"Page",
"49",
"of",
"54",
"t",
"##1",
"t",
"##2",
"t",
"##3",
"t",
"##4",
"request",
"+",
"random",
"data",
"local",
"node",
"partner",
"node",
"response",
"+",
"random",
"data",
"signature"
] | NEM White paper | 680 |
gna-
tory can be added or removed by wrapping an aggregate modification transaction in a
multisig transaction. A single modification transaction can add one or more cosignatories
but can remove at most one.
β’ When adding cosignatories, all existing cosignatories must co-sign the transaction.
β’ When removing a cosignatory, all existing cosignatories except for the one being
removed must co-sign the transaction.
The fee for an aggregate modification transaction is a flat fee of 0.5 xem, no matter
what mo | [
2443,
1159,
2443,
1159,
15982,
1405,
131,
10385,
1206,
1469,
1105,
3547,
14372,
119,
130,
119,
123,
1302,
2007,
15599,
4455,
1332,
170,
151,
6258,
14372,
1110,
2536,
117,
1103,
14372,
5669,
1103,
3510,
4129,
1105,
21774,
1116,
1199,
2233,
1107,
2962,
1106,
4607,
3294,
2099,
119,
2857,
1103,
6165,
1110,
1845,
117,
1103,
14372,
1110,
1253,
1136,
3387,
1106,
1103,
2443,
1272,
1122,
1110,
1136,
1870,
10909,
1174,
119,
138,
1664,
118,
10909,
1174,
14372,
1110,
1136,
2628,
1114,
1126,
3300,
119,
1188,
17356,
1122,
1121,
1217,
1682,
1106,
2951,
11317,
1105,
17356,
1168,
15029,
1121,
1217,
1682,
1106,
23073,
1157,
4193,
119,
1130,
1546,
1106,
10909,
170,
14372,
117,
1103,
2029,
2501,
1104,
170,
26546,
2107,
3300,
1538,
1129,
7694,
1106,
1103,
14372,
119,
1188,
3300,
1110,
1103,
2425,
3300,
2628,
1114,
1103,
14372,
119,
138,
13715,
1181,
3300,
1169,
1129,
1215,
1106,
10909,
170,
14372,
1107,
1546,
1106,
1618,
3244,
1103,
2029,
2501,
1104,
1103,
1842,
3300,
113,
1267,
4841,
25461,
125,
119,
123,
131,
146,
24729,
16242,
3633,
4036,
14409,
114,
119,
130,
119,
124,
1302,
2007,
11250,
2857,
170,
14372,
1110,
10909,
1174,
117,
1122,
8200,
1106,
1103,
26546,
2107,
2443,
1105,
3816,
6303,
1869,
1114,
1168,
15029,
119,
7245,
117,
1103,
14372,
1110,
1178,
4484,
1104,
1103,
1218,
118,
1227,
15029,
119,
1636,
15029,
1132,
1103,
1269,
1112,
1103,
3073,
118,
9373,
15029,
1758,
1107,
4841,
25461,
127,
119,
123,
131,
5328,
3496,
2860,
119,
3278,
1159,
117,
1103,
14372,
3316,
4484,
1104,
1167,
15029,
1107,
1103,
2443,
119,
1247,
1132,
3417,
1160,
3242,
1142,
5940,
131,
2258,
1126,
8679,
1137,
170,
1231,
2087,
21298,
119,
130,
119,
124,
119,
122,
5083,
6094,
3633,
1880,
16477,
9203,
117,
170,
14372,
19028,
2111,
1106,
1157,
1954,
3547,
15029,
1105,
2075,
1157,
1469,
2541,
1869,
1107,
1103,
4566,
119,
1409,
1103,
14372,
1110,
3655,
1106,
1103,
3547,
117,
1103,
3547,
6216,
1122,
1112,
2327,
1105,
15549,
1103,
14372,
112,
188,
5758,
119,
1409,
1103,
14372,
1110,
1227,
1106,
1103,
3547,
117,
1103,
3547,
1178,
15549,
1103,
14372,
112,
188,
5758,
1133,
1674,
1136,
1849,
1157,
2781,
119,
8500,
1851,
1104,
4335,
130,
119,
124,
119,
123,
11336,
2087,
21298,
16477,
9203,
117,
170,
14372,
4390,
1157,
1954,
6449,
1106,
2194,
8054,
1869,
1164,
1172,
118,
14516,
14455,
1105,
1103,
1352,
1104,
1103,
2443,
119,
1752,
117,
1103,
14372,
11458,
11984,
1869,
1164,
1103,
6456,
14372,
119,
1409,
2265,
117,
1103,
1469,
14372,
1209,
11984,
1103,
6456,
112,
188,
1322,
7587,
113,
3238,
1106,
1619,
9652,
14274,
1116,
114,
1105,
27154,
27922,
119,
1188,
2585,
12169,
1191,
1251,
1104,
1103,
1378,
4467,
131,
794,
1109,
6456,
14372,
5166,
170,
9221,
4566,
1121,
170,
1472,
14372,
794,
1109,
6456,
14372,
1110,
1136,
12173,
1114,
1103,
1469,
14372,
113,
174,
119,
176,
119,
1103,
6456,
14372,
1110,
2774,
6097,
1133,
1103,
1469,
14372,
1110,
1514,
6097,
114,
1212,
2244,
117,
1103,
6456,
14372,
1110,
1455,
1106,
2194,
170,
2190,
1104,
1155,
1104,
1157,
1954,
3547,
15029,
119,
1130,
1546,
1106,
3843,
1126,
4719,
14372,
1121,
3558,
18238,
1869,
1164
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
0,
0,
1,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"network",
"time",
"network",
"time",
"Figure",
"15",
":",
"Communication",
"between",
"local",
"and",
"partner",
"node",
".",
"9",
".",
"2",
"No",
"##de",
"Start",
"##up",
"When",
"a",
"N",
"##IS",
"node",
"is",
"launched",
",",
"the",
"node",
"processes",
"the",
"block",
"chain",
"and",
"cache",
"##s",
"some",
"data",
"in",
"memory",
"to",
"improve",
"online",
"performance",
".",
"Once",
"the",
"processing",
"is",
"finished",
",",
"the",
"node",
"is",
"still",
"not",
"connected",
"to",
"the",
"network",
"because",
"it",
"is",
"not",
"yet",
"boot",
"##ed",
".",
"A",
"non",
"-",
"boot",
"##ed",
"node",
"is",
"not",
"associated",
"with",
"an",
"account",
".",
"This",
"prevents",
"it",
"from",
"being",
"able",
"to",
"sign",
"responses",
"and",
"prevents",
"other",
"nodes",
"from",
"being",
"able",
"to",
"verify",
"its",
"identity",
".",
"In",
"order",
"to",
"boot",
"a",
"node",
",",
"the",
"private",
"key",
"of",
"a",
"NE",
"##M",
"account",
"must",
"be",
"supplied",
"to",
"the",
"node",
".",
"This",
"account",
"is",
"the",
"primary",
"account",
"associated",
"with",
"the",
"node",
".",
"A",
"delegate",
"##d",
"account",
"can",
"be",
"used",
"to",
"boot",
"a",
"node",
"in",
"order",
"to",
"better",
"protect",
"the",
"private",
"key",
"of",
"the",
"real",
"account",
"(",
"see",
"sub",
"##section",
"4",
".",
"2",
":",
"I",
"##mpo",
"##rta",
"##nce",
"transfer",
"transactions",
")",
".",
"9",
".",
"3",
"No",
"##de",
"Discovery",
"Once",
"a",
"node",
"is",
"boot",
"##ed",
",",
"it",
"connects",
"to",
"the",
"NE",
"##M",
"network",
"and",
"starts",
"sharing",
"information",
"with",
"other",
"nodes",
".",
"Initially",
",",
"the",
"node",
"is",
"only",
"aware",
"of",
"the",
"well",
"-",
"known",
"nodes",
".",
"These",
"nodes",
"are",
"the",
"same",
"as",
"the",
"pre",
"-",
"trusted",
"nodes",
"described",
"in",
"sub",
"##section",
"6",
".",
"2",
":",
"Local",
"trust",
"value",
".",
"Over",
"time",
",",
"the",
"node",
"becomes",
"aware",
"of",
"more",
"nodes",
"in",
"the",
"network",
".",
"There",
"are",
"typically",
"two",
"ways",
"this",
"happens",
":",
"via",
"an",
"announcement",
"or",
"a",
"re",
"##f",
"##resh",
".",
"9",
".",
"3",
".",
"1",
"Ann",
"##ou",
"##nce",
"##ment",
"Period",
"##ically",
",",
"a",
"node",
"announces",
"itself",
"to",
"its",
"current",
"partner",
"nodes",
"and",
"includes",
"its",
"local",
"experience",
"information",
"in",
"the",
"request",
".",
"If",
"the",
"node",
"is",
"unknown",
"to",
"the",
"partner",
",",
"the",
"partner",
"marks",
"it",
"as",
"active",
"and",
"updates",
"the",
"node",
"'",
"s",
"experiences",
".",
"If",
"the",
"node",
"is",
"known",
"to",
"the",
"partner",
",",
"the",
"partner",
"only",
"updates",
"the",
"node",
"'",
"s",
"experiences",
"but",
"does",
"not",
"change",
"its",
"status",
".",
"Page",
"50",
"of",
"54",
"9",
".",
"3",
".",
"2",
"Re",
"##f",
"##resh",
"Period",
"##ically",
",",
"a",
"node",
"asks",
"its",
"current",
"partners",
"to",
"provide",
"updated",
"information",
"about",
"them",
"-",
"se",
"##lves",
"and",
"the",
"state",
"of",
"the",
"network",
".",
"First",
",",
"the",
"node",
"requests",
"update",
"information",
"about",
"the",
"remote",
"node",
".",
"If",
"successful",
",",
"the",
"local",
"node",
"will",
"update",
"the",
"remote",
"'",
"s",
"end",
"##point",
"(",
"necessary",
"to",
"support",
"dynamic",
"IP",
"##s",
")",
"and",
"meta",
"##data",
".",
"This",
"step",
"fails",
"if",
"any",
"of",
"the",
"following",
"occur",
":",
"β’",
"The",
"remote",
"node",
"returns",
"a",
"valid",
"request",
"from",
"a",
"different",
"node",
"β’",
"The",
"remote",
"node",
"is",
"not",
"compatible",
"with",
"the",
"local",
"node",
"(",
"e",
".",
"g",
".",
"the",
"remote",
"node",
"is",
"test",
"##net",
"but",
"the",
"local",
"node",
"is",
"main",
"##net",
")",
"On",
"success",
",",
"the",
"remote",
"node",
"is",
"asked",
"to",
"provide",
"a",
"list",
"of",
"all",
"of",
"its",
"current",
"partner",
"nodes",
".",
"In",
"order",
"to",
"prevent",
"an",
"evil",
"node",
"from",
"providing",
"incorrect",
"information",
"about"
] | NEM White paper | 681 |
difications you make.
where the term 'modification' refers to the addition or deletion of a cosignatory.
4.3.2 Multisig signature transactions
NEM uses multisig signature transactions for letting cosignatories sign a multisig trans-
action.
The fee for such a signature transaction is always .15 XEM. The fee is deduced from
the multisig account, not from the cosignatory's account.
A multisig signature transaction can only be included in the block chain if the corre-
sponding multisig transaction has b | [
1363,
15029,
1105,
3989,
1172,
1106,
1129,
1602,
26511,
117,
1103,
1469,
14372,
4021,
1106,
3232,
1296,
2103,
3547,
14372,
2626,
119,
1135,
1110,
1696,
1106,
3805,
1115,
170,
14372,
112,
188,
27154,
27922,
1209,
1178,
1129,
8054,
1118,
27154,
27922,
2136,
1118,
1115,
14372,
2111,
119,
1249,
1126,
25161,
117,
1602,
26511,
15029,
1132,
1136,
1231,
2087,
21298,
1174,
119,
138,
14372,
1169,
1129,
7818,
1602,
26511,
1191,
1122,
5166,
170,
11874,
7353,
1137,
1103,
1469,
14372,
2834,
7543,
1106,
1122,
119,
16477,
9203,
117,
1602,
26511,
15029,
1209,
1129,
2856,
1121,
1103,
1602,
7276,
1105,
1209,
1129,
2148,
1106,
4868,
1107,
1103,
1231,
2087,
21298,
2805,
1254,
119,
1409,
1103,
1560,
1602,
7276,
1158,
1108,
1496,
1106,
170,
1664,
118,
14715,
9080,
7353,
117,
1103,
14372,
1209,
2620,
1129,
1602,
26511,
1254,
119,
130,
119,
125,
1302,
2007,
20045,
3278,
1159,
117,
1112,
170,
1871,
1104,
1103,
14372,
6004,
1965,
117,
1103,
1469,
14372,
1209,
1561,
4484,
1104,
1167,
15029,
1107,
1103,
2443,
119,
6382,
117,
1103,
1295,
1104,
1227,
15029,
113,
1259,
1241,
1218,
118,
1227,
1105,
1168,
15029,
114,
1209,
1129,
1277,
3407,
1190,
1103,
1295,
1104,
3547,
15029,
119,
16477,
9203,
117,
170,
14372,
1231,
7867,
24029,
1116,
1157,
3547,
15029,
119,
1332,
1142,
1231,
7867,
21608,
2116,
4365,
117,
1155,
1227,
15029,
1132,
7408,
1106,
1561,
170,
3547,
14372,
117,
1259,
15029,
1115,
1138,
1151,
11168,
1112,
5116,
119,
1556,
12973,
11106,
117,
1142,
1231,
7867,
21608,
2116,
1209,
4467,
1167,
3933,
1190,
1103,
1231,
7867,
21608,
2116,
1104,
3496,
4718,
119,
1650,
12973,
117,
3496,
4718,
1132,
1231,
7867,
24029,
1181,
1451,
1405,
1904,
119,
1109,
1227,
15029,
1132,
20167,
1118,
1147,
3496,
4718,
1105,
1103,
3547,
15029,
1132,
19729,
2700,
1121,
1621,
1172,
119,
1302,
4704,
1114,
2610,
3496,
4718,
113,
1134,
1132,
1167,
2620,
1106,
1129,
1363,
15029,
114,
1132,
1167,
2620,
1106,
1129,
3468,
1112,
6449,
119,
1302,
4704,
1115,
1138,
1151,
10298,
1193,
12254,
1174,
1114,
3417,
1138,
3496,
4718,
1120,
1137,
1601,
1106,
121,
119,
1130,
1546,
1106,
1660,
1292,
15029,
8500,
4062,
1104,
4335,
170,
2640,
1106,
5424,
2310,
1105,
3076,
3496,
117,
1152,
1132,
5877,
1549,
170,
1353,
14112,
1107,
3496,
1177,
1115,
1152,
1138,
1103,
3767,
1106,
1129,
2700,
1105,
4868,
1107,
1103,
2443,
119,
1476,
110,
1104,
3496,
1110,
19474,
4901,
1621,
15029,
1114,
1750,
1190,
1275,
10393,
119,
1130,
1546,
1106,
4989,
1115,
1103,
2443,
1110,
3387,
117,
1141,
23427,
1106,
1103,
7091,
1965,
1110,
1189,
119,
1409,
1103,
1469,
14372,
1110,
170,
1218,
118,
1227,
14372,
117,
1122,
1110,
19148,
3387,
1114,
1155,
3294,
1218,
118,
1227,
15029,
119,
1409,
1103,
1469,
14372,
1110,
1136,
170,
1218,
118,
1227,
14372,
117,
1122,
1110,
19148,
3387,
1114,
1141,
7091,
117,
3294,
117,
1218,
118,
1227,
14372,
119,
1188,
23613,
1115,
1155,
15029,
1132,
8525,
3547,
1158,
1114,
1120,
1655,
1141,
1218,
118,
1227,
14372,
119,
8500,
3882,
1104,
4335,
19714,
1116,
164,
122,
166,
17468,
4388,
22230,
1105,
23915,
1874,
5214,
7498,
10294,
119,
3198,
16641,
1181,
7091,
7104,
131,
17163,
1158,
1105
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"good",
"nodes",
"and",
"causing",
"them",
"to",
"be",
"black",
"##listed",
",",
"the",
"local",
"node",
"attempts",
"to",
"contact",
"each",
"reported",
"partner",
"node",
"directly",
".",
"It",
"is",
"important",
"to",
"note",
"that",
"a",
"node",
"'",
"s",
"meta",
"##data",
"will",
"only",
"be",
"updated",
"by",
"meta",
"##data",
"provided",
"by",
"that",
"node",
"itself",
".",
"As",
"an",
"optimization",
",",
"black",
"##listed",
"nodes",
"are",
"not",
"re",
"##f",
"##resh",
"##ed",
".",
"A",
"node",
"can",
"be",
"temporarily",
"black",
"##listed",
"if",
"it",
"returns",
"a",
"fatal",
"error",
"or",
"the",
"local",
"node",
"cannot",
"connect",
"to",
"it",
".",
"Period",
"##ically",
",",
"black",
"##listed",
"nodes",
"will",
"be",
"removed",
"from",
"the",
"black",
"##list",
"and",
"will",
"be",
"allowed",
"to",
"participate",
"in",
"the",
"re",
"##f",
"##resh",
"operation",
"again",
".",
"If",
"the",
"original",
"black",
"##list",
"##ing",
"was",
"due",
"to",
"a",
"non",
"-",
"trans",
"##ient",
"error",
",",
"the",
"node",
"will",
"likely",
"be",
"black",
"##listed",
"again",
".",
"9",
".",
"4",
"No",
"##de",
"Selection",
"Over",
"time",
",",
"as",
"a",
"result",
"of",
"the",
"node",
"discovery",
"process",
",",
"the",
"local",
"node",
"will",
"become",
"aware",
"of",
"more",
"nodes",
"in",
"the",
"network",
".",
"Eventually",
",",
"the",
"number",
"of",
"known",
"nodes",
"(",
"including",
"both",
"well",
"-",
"known",
"and",
"other",
"nodes",
")",
"will",
"be",
"much",
"greater",
"than",
"the",
"number",
"of",
"partner",
"nodes",
".",
"Period",
"##ically",
",",
"a",
"node",
"re",
"##cal",
"##culate",
"##s",
"its",
"partner",
"nodes",
".",
"When",
"this",
"re",
"##cal",
"##cula",
"##tion",
"occurs",
",",
"all",
"known",
"nodes",
"are",
"eligible",
"to",
"become",
"a",
"partner",
"node",
",",
"including",
"nodes",
"that",
"have",
"been",
"detected",
"as",
"busy",
".",
"With",
"default",
"settings",
",",
"this",
"re",
"##cal",
"##cula",
"##tion",
"will",
"occur",
"more",
"frequently",
"than",
"the",
"re",
"##cal",
"##cula",
"##tion",
"of",
"trust",
"values",
".",
"By",
"default",
",",
"trust",
"values",
"are",
"re",
"##cal",
"##culate",
"##d",
"every",
"15",
"minutes",
".",
"The",
"known",
"nodes",
"are",
"weighted",
"by",
"their",
"trust",
"values",
"and",
"the",
"partner",
"nodes",
"are",
"randomly",
"selected",
"from",
"among",
"them",
".",
"No",
"##des",
"with",
"larger",
"trust",
"values",
"(",
"which",
"are",
"more",
"likely",
"to",
"be",
"good",
"nodes",
")",
"are",
"more",
"likely",
"to",
"be",
"chosen",
"as",
"partners",
".",
"No",
"##des",
"that",
"have",
"been",
"minimal",
"##ly",
"interact",
"##ed",
"with",
"typically",
"have",
"trust",
"values",
"at",
"or",
"close",
"to",
"0",
".",
"In",
"order",
"to",
"give",
"these",
"nodes",
"Page",
"51",
"of",
"54",
"a",
"chance",
"to",
"prove",
"themselves",
"and",
"build",
"trust",
",",
"they",
"are",
"effectively",
"given",
"a",
"small",
"boost",
"in",
"trust",
"so",
"that",
"they",
"have",
"the",
"opportunity",
"to",
"be",
"selected",
"and",
"participate",
"in",
"the",
"network",
".",
"30",
"%",
"of",
"trust",
"is",
"evenly",
"distributed",
"among",
"nodes",
"with",
"less",
"than",
"10",
"interactions",
".",
"In",
"order",
"to",
"ensure",
"that",
"the",
"network",
"is",
"connected",
",",
"one",
"adjustment",
"to",
"the",
"random",
"process",
"is",
"made",
".",
"If",
"the",
"local",
"node",
"is",
"a",
"well",
"-",
"known",
"node",
",",
"it",
"is",
"additionally",
"connected",
"with",
"all",
"online",
"well",
"-",
"known",
"nodes",
".",
"If",
"the",
"local",
"node",
"is",
"not",
"a",
"well",
"-",
"known",
"node",
",",
"it",
"is",
"additionally",
"connected",
"with",
"one",
"random",
",",
"online",
",",
"well",
"-",
"known",
"node",
".",
"This",
"ensures",
"that",
"all",
"nodes",
"are",
"actively",
"partner",
"##ing",
"with",
"at",
"least",
"one",
"well",
"-",
"known",
"node",
".",
"Page",
"52",
"of",
"54",
"Reference",
"##s",
"[",
"1",
"]",
"Lars",
"Back",
"##strom",
"and",
"Ju",
"##re",
"Les",
"##kov",
"##ec",
".",
"Super",
"##vise",
"##d",
"random",
"walks",
":",
"predict",
"##ing",
"and"
] | NEM White paper | 682 |
een included in the block chain. An orphaned multisig
signature transaction will never be included in the block chain.
Page 12 of 54
4.3.3 Multisig transactions
As mentioned earlier, any transaction can be wrapped in a multisig transaction.
To send XEM from a multisig account to another account, a transfer transaction must
be wrapped. The multisig wrapper transaction has a fee of .15 XEM. This fee is added
to the usual transfer transaction fee.
The following example shows the steps that must be tak | [
1231,
1665,
118,
184,
12140,
17038,
6743,
1107,
1934,
6379,
119,
1130,
20661,
1104,
1103,
2223,
9690,
2107,
1835,
3511,
1113,
9059,
3403,
1105,
2233,
5463,
117,
5097,
5519,
1571,
782,
3324,
1527,
119,
9690,
2107,
117,
1349,
119,
164,
123,
166,
2979,
147,
119,
20436,
117,
27453,
5999,
12786,
8914,
117,
13880,
3174,
24192,
117,
1943,
20452,
24156,
3962,
117,
1105,
9326,
118,
23845,
8772,
119,
1693,
118,
2420,
1344,
118,
2699,
17926,
119,
1130,
15586,
6451,
9597,
9322,
7109,
1105,
18653,
4774,
4902,
6475,
118,
24890,
9919,
1349,
118,
5435,
1570,
16350,
117,
11896,
1611,
117,
1999,
117,
1347,
1743,
118,
1357,
122,
117,
1349,
119,
20661,
117,
5097,
13743,
782,
17048,
117,
1349,
119,
164,
124,
166,
1287,
155,
2091,
15776,
2149,
119,
1109,
188,
1183,
15197,
2035,
119,
1130,
153,
8284,
118,
1106,
118,
8536,
6475,
117,
5097,
25101,
782,
13888,
119,
18919,
117,
1617,
119,
164,
125,
166,
11896,
1810,
1964,
142,
9992,
1179,
117,
4101,
156,
150,
1665,
1658,
27009,
117,
1105,
1287,
138,
2545,
2836,
119,
13332,
1103,
5127,
13638,
119,
1130,
20661,
1104,
1103,
5435,
1835,
3511,
1113,
1291,
15268,
9059,
117,
5097,
1476,
1580,
782,
1955,
1604,
119,
9690,
2107,
117,
1516,
119,
164,
126,
166,
20802,
21123,
1394,
16061,
1183,
117,
20815,
8411,
117,
12590,
17143,
5255,
117,
1105,
163,
3031,
19835,
15463,
119,
142,
13417,
2227,
19604,
116,
116,
131,
13704,
1231,
5053,
19526,
3496,
2635,
119,
1368,
119,
164,
127,
166,
22515,
1183,
14703,
1179,
144,
17176,
9261,
117,
13174,
3177,
16345,
12518,
117,
1105,
8882,
155,
25722,
1197,
119,
13332,
16993,
1111,
5463,
2401,
118,
3246,
4125,
1107,
7269,
18250,
6379,
131,
151,
8816,
1320,
14687,
119,
151,
8816,
13335,
4165,
118,
1508,
1158,
117,
3102,
113,
1275,
114,
131,
5678,
782,
5064,
117,
1384,
119,
164,
128,
166,
21700,
23678,
119,
13332,
6966,
1111,
17163,
1158,
1769,
2230,
1107,
1126,
3953,
3750,
119,
1570,
3603,
1104,
15472,
1348,
4219,
2444,
117,
1695,
113,
128,
114,
131,
5787,
1495,
782,
6032,
1559,
117,
1371,
119,
164,
129,
166,
156,
119,
141,
119,
14812,
1306,
8997,
117,
150,
119,
157,
119,
20452,
8495,
13159,
1200,
117,
1105,
145,
119,
10233,
118,
12556,
10655,
119,
1109,
174,
13417,
2227,
19604,
9932,
1111,
5244,
2635,
1107,
185,
1477,
1643,
6379,
119,
20661,
1104,
1103,
5247,
1835,
3511,
1113,
1291,
15268,
9059,
117,
5097,
21451,
782,
2625,
1475,
117,
1581,
119,
164,
130,
166,
138,
119,
151,
119,
12431,
2138,
1105,
140,
119,
141,
119,
11545,
119,
7986,
112,
188,
8500,
2069,
1389,
1377,
1105,
8270,
131,
1109,
2444,
1104,
12646,
13451,
22732,
119,
8845,
1239,
2544,
117,
8845,
117,
3066,
117,
1386,
119,
164,
1275,
166,
1335,
17013,
23652,
1116,
151,
28010,
2718,
5674,
24153,
1105,
1287,
141,
144,
14452,
8057,
28001,
1548,
119,
151,
1665,
1810,
7109,
14687,
131,
170,
2281,
3997,
118,
16664,
3442,
1115,
23244,
1103,
1260,
8178,
5674,
17272,
2401,
1104,
1103,
5127,
119,
1130,
20661,
1104,
1103,
3971,
9690,
2107,
1835,
3511,
1113,
9059,
3403,
1105,
2233,
5463,
117,
5097,
17025,
782,
15722,
119,
9690
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
9,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
9,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
0,
0,
5,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"re",
"##c",
"-",
"o",
"##mme",
"##nding",
"links",
"in",
"social",
"networks",
".",
"In",
"Proceedings",
"of",
"the",
"fourth",
"AC",
"##M",
"international",
"conference",
"on",
"Web",
"search",
"and",
"data",
"mining",
",",
"pages",
"63",
"##5",
"β",
"64",
"##4",
".",
"AC",
"##M",
",",
"2011",
".",
"[",
"2",
"]",
"Daniel",
"J",
".",
"Bernstein",
",",
"Ni",
"##els",
"Du",
"##if",
",",
"Tan",
"##ja",
"Lange",
",",
"Peter",
"Sc",
"##hwa",
"##be",
",",
"and",
"Bo",
"-",
"Yin",
"Yang",
".",
"High",
"-",
"speed",
"high",
"-",
"security",
"signatures",
".",
"In",
"Cry",
"##pt",
"##ographic",
"Hard",
"##ware",
"and",
"Em",
"##bed",
"##ded",
"Systems",
"-",
"CH",
"##ES",
"2011",
"-",
"13th",
"International",
"Workshop",
",",
"Na",
"##ra",
",",
"Japan",
",",
"September",
"28",
"-",
"October",
"1",
",",
"2011",
".",
"Proceedings",
",",
"pages",
"124",
"β",
"142",
",",
"2011",
".",
"[",
"3",
"]",
"John",
"R",
"Do",
"##uce",
"##ur",
".",
"The",
"s",
"##y",
"##bil",
"attack",
".",
"In",
"P",
"##eer",
"-",
"to",
"-",
"peer",
"Systems",
",",
"pages",
"251",
"β",
"260",
".",
"Springer",
",",
"2002",
".",
"[",
"4",
"]",
"Na",
"##da",
"##v",
"E",
"##iro",
"##n",
",",
"Kevin",
"S",
"M",
"##c",
"##C",
"##urley",
",",
"and",
"John",
"A",
"Tom",
"##lin",
".",
"Ranking",
"the",
"web",
"frontier",
".",
"In",
"Proceedings",
"of",
"the",
"13th",
"international",
"conference",
"on",
"World",
"Wide",
"Web",
",",
"pages",
"30",
"##9",
"β",
"31",
"##8",
".",
"AC",
"##M",
",",
"2004",
".",
"[",
"5",
"]",
"Xi",
"##nx",
"##in",
"Fan",
"##y",
",",
"Ling",
"Liu",
",",
"Ming",
"##chu",
"Li",
",",
"and",
"Z",
"##hi",
"##yuan",
"Su",
".",
"E",
"##ige",
"##nt",
"##rust",
"+",
"+",
":",
"Attack",
"re",
"##si",
"##lient",
"trust",
"management",
".",
"2012",
".",
"[",
"6",
"]",
"Ta",
"##y",
"##fu",
"##n",
"G",
"##ΓΌ",
"##rel",
",",
"Luc",
"De",
"Rae",
"##dt",
",",
"and",
"Stefan",
"R",
"##otte",
"##r",
".",
"Ranking",
"neurons",
"for",
"mining",
"structure",
"-",
"activity",
"relations",
"in",
"biological",
"neural",
"networks",
":",
"N",
"##eur",
"##on",
"##rank",
".",
"N",
"##eur",
"##oc",
"##om",
"-",
"put",
"##ing",
",",
"70",
"(",
"10",
")",
":",
"1897",
"β",
"1901",
",",
"2007",
".",
"[",
"7",
"]",
"Bin",
"Jiang",
".",
"Ranking",
"spaces",
"for",
"predict",
"##ing",
"human",
"movement",
"in",
"an",
"urban",
"environment",
".",
"International",
"Journal",
"of",
"Geographic",
"##al",
"Information",
"Science",
",",
"23",
"(",
"7",
")",
":",
"82",
"##3",
"β",
"83",
"##7",
",",
"2009",
".",
"[",
"8",
"]",
"S",
".",
"D",
".",
"Ka",
"##m",
"##var",
",",
"M",
".",
"T",
".",
"Sc",
"##hl",
"##oss",
"##er",
",",
"and",
"H",
".",
"Garcia",
"-",
"Mo",
"##lina",
".",
"The",
"e",
"##ige",
"##nt",
"##rust",
"algorithm",
"for",
"reputation",
"management",
"in",
"p",
"##2",
"##p",
"networks",
".",
"Proceedings",
"of",
"the",
"12th",
"international",
"conference",
"on",
"World",
"Wide",
"Web",
",",
"pages",
"640",
"β",
"65",
"##1",
",",
"2003",
".",
"[",
"9",
"]",
"A",
".",
"N",
".",
"Lang",
"##ville",
"and",
"C",
".",
"D",
".",
"Meyer",
".",
"Google",
"'",
"s",
"Page",
"##R",
"##an",
"##k",
"and",
"Beyond",
":",
"The",
"Science",
"of",
"Search",
"Engine",
"Rankings",
".",
"Princeton",
"University",
"Press",
",",
"Princeton",
",",
"USA",
",",
"2006",
".",
"[",
"10",
"]",
"At",
"##hana",
"##sio",
"##s",
"N",
"Nikola",
"##ko",
"##po",
"##ulos",
"and",
"John",
"D",
"G",
"##aro",
"##fa",
"##lak",
"##is",
".",
"N",
"##c",
"##da",
"##ware",
"##rank",
":",
"a",
"novel",
"rank",
"-",
"ing",
"method",
"that",
"exploits",
"the",
"de",
"##com",
"##po",
"##sable",
"structure",
"of",
"the",
"web",
".",
"In",
"Proceedings",
"of",
"the",
"sixth",
"AC",
"##M",
"international",
"conference",
"on",
"Web",
"search",
"and",
"data",
"mining",
",",
"pages",
"143",
"β",
"152",
".",
"AC"
] | NEM White paper | 683 |
en in more detail:
Assume that a multisig account (M) has a balance of 1000 XEM and has three cosig-
natories (A, B, C) and 100 XEM needs to be transferred from M to another account
X.
Any of the three cosignatories can initiate the 100 XEM transfer. Assuming that
B initiates the transfer and A and C cosign, the following steps must happen for the
transaction to be accepted:
1. B creates a regular, unsigned transfer transaction that has the multisig account as
the "signer" and the transfer amount as 100 | [
2107,
117,
1381,
119,
164,
1429,
166,
4898,
8500,
117,
25252,
139,
4854,
117,
12707,
3051,
1964,
12556,
1204,
5491,
1182,
117,
1105,
6050,
16387,
8032,
9871,
119,
1109,
3674,
14687,
19548,
5662,
131,
4362,
1546,
1106,
1103,
5127,
119,
6846,
7178,
1729,
118,
5046,
117,
8036,
1130,
14467,
2162,
6639,
117,
8036,
117,
3066,
117,
1379,
1729,
119,
8500,
4389,
1104,
4335,
164,
1367,
166,
2203,
2660,
20452,
9717,
1988,
1182,
119,
2586,
18791,
7088,
4206,
1105,
4326,
1111,
153,
8284,
118,
1106,
118,
153,
8284,
13545,
20957,
156,
27250,
8167,
11153,
3293,
118,
189,
1988,
119,
7735,
9593,
117,
12118,
25105,
2875,
112,
170,
1260,
23655,
1457,
17294,
4267,
13120,
107,
2001,
17784,
15418,
12541,
107,
117,
1371,
119,
164,
1492,
166,
145,
14104,
9865,
3624,
117,
162,
23219,
11525,
117,
1105,
150,
1212,
9368,
12658,
119,
13227,
8649,
15213,
10873,
10005,
1158,
119,
1130,
1109,
4584,
8576,
1113,
7154,
3939,
1105,
4219,
3973,
113,
18581,
13371,
10973,
17175,
114,
117,
1387,
119,
164,
1489,
166,
22238,
24078,
17584,
117,
151,
2149,
7804,
10684,
25192,
117,
163,
3031,
6778,
22720,
117,
1105,
1819,
22078,
20452,
1324,
24078,
2895,
119,
20452,
1389,
131,
170,
188,
18062,
21977,
118,
189,
12602,
10005,
1158,
9932,
1111,
6379,
119,
1130,
20661,
1104,
1103,
5435,
9690,
2107,
156,
23413,
2428,
2137,
2137,
1835,
3511,
1113,
14966,
6004,
1105,
2233,
5463,
117,
5097,
5787,
1527,
782,
6032,
1495,
119,
9690,
2107,
117,
1384,
119,
8500,
4335,
1104,
4335,
11689,
10931,
13813,
138,
14566,
17430,
1105,
24930,
18380,
1279,
138,
14566,
8355,
1352,
26546,
2107,
11869,
16752,
12986,
1158,
170,
1470,
2501,
1154,
1126,
4134,
1130,
5208,
15937,
4134,
13213,
15586,
6451,
9543,
7219,
1105,
1470,
2501,
20979,
1158,
1105,
1396,
12231,
1104,
170,
8250,
13832,
2528,
3408,
1105,
1260,
2528,
3408,
7416,
13809,
22946,
23489,
14409,
146,
24729,
16242,
3633,
4036,
14409,
2173,
19012,
3177,
11179,
19012,
18447,
5053,
1403,
2272,
13618,
3322,
138,
9705,
1874,
4948,
15156,
14409,
113,
4321,
5053,
1403,
15156,
114,
18447,
5053,
1403,
8250,
14409,
18447,
5053,
1403,
14409,
12118,
7235,
22750,
14409,
113,
22620,
1306,
12123,
114,
8093,
1116,
1105,
1103,
3510,
4129,
8093,
7262,
8093,
2794,
8093,
3707,
8093,
4129,
188,
27250,
8167,
11153,
8569,
138,
5244,
1449,
1111,
15029,
1302,
2007,
10393,
5328,
3496,
2860,
138,
9705,
1874,
18401,
1469,
3496,
4718,
13832,
3822,
4869,
1103,
9932,
3096,
11470,
6439,
1104,
1103,
5244,
1449,
5096,
10008,
118,
1104,
118,
146,
24729,
16242,
3633,
12224,
5389,
5474,
1111,
13832,
9930,
1103,
146,
24729,
16242,
3633,
11917,
21608,
2116,
1109,
1149,
13255,
8952,
14056,
2137,
10946,
1874,
2069,
1389,
1377,
140,
23225,
1158,
1103,
13618,
10873,
11917,
21608,
1916,
146,
24729,
16242,
3633,
18417,
1116,
15598,
1106,
2268,
9717,
6856,
156,
1183,
15197,
13704,
18086,
13704,
4302,
118,
1120,
118,
1457,
9899,
21710,
3291,
8223,
10832,
4495,
1106,
8219,
2614,
188,
27250,
8167,
11153,
8569,
26532,
8025,
138,
8661,
15318,
19690,
1106,
5782,
2213,
2233,
11917,
21608,
2116,
1104,
1103,
3903,
18134,
3291,
4455,
1979,
1105,
11810,
3998,
1302,
2007,
17580,
1302,
2007,
15599,
4455,
1302,
2007,
11250
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
21,
22,
22,
22,
22,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
5,
6,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
21,
22,
22,
22,
21,
22,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
0,
0,
0,
0,
0,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
21,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
21,
22,
22,
22,
22,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
5,
6,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
21,
22,
22,
22,
21,
22,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
] | [
"##M",
",",
"2013",
".",
"[",
"11",
"]",
"Lawrence",
"Page",
",",
"Sergey",
"B",
"##rin",
",",
"Raj",
"##ee",
"##v",
"Mo",
"##t",
"##wan",
"##i",
",",
"and",
"Terry",
"Win",
"##og",
"##rad",
".",
"The",
"page",
"##rank",
"citation",
"ranking",
":",
"bringing",
"order",
"to",
"the",
"web",
".",
"Technical",
"Report",
"1999",
"-",
"66",
",",
"Stanford",
"In",
"##fo",
"##L",
"##ab",
",",
"Stanford",
",",
"USA",
",",
"November",
"1999",
".",
"Page",
"53",
"of",
"54",
"[",
"12",
"]",
"Sir",
"##io",
"Sc",
"##ip",
"##ion",
"##i",
".",
"Al",
"##gor",
"##ith",
"##ms",
"and",
"Services",
"for",
"P",
"##eer",
"-",
"to",
"-",
"P",
"##eer",
"Internal",
"Clock",
"S",
"##ync",
"##hr",
"##oni",
"##za",
"-",
"t",
"##ion",
".",
"PhD",
"thesis",
",",
"Un",
"##ivers",
"##it",
"'",
"a",
"de",
"##gli",
"St",
"##udi",
"di",
"Roma",
"\"",
"La",
"Sa",
"##pie",
"##nza",
"\"",
",",
"2009",
".",
"[",
"13",
"]",
"H",
"Shi",
"##oka",
"##wa",
",",
"Y",
"Fuji",
"##wara",
",",
"and",
"M",
"On",
"##iz",
"##uka",
".",
"Fast",
"structural",
"similarity",
"graph",
"cluster",
"##ing",
".",
"In",
"The",
"6th",
"Forum",
"on",
"Data",
"Engineering",
"and",
"Information",
"Management",
"(",
"DE",
"##IM",
"##20",
"##14",
")",
",",
"2014",
".",
"[",
"14",
"]",
"Xiao",
"##wei",
"Xu",
",",
"N",
"##ur",
"##can",
"Yu",
"##ruk",
",",
"Z",
"##hi",
"##dan",
"Feng",
",",
"and",
"Thomas",
"AJ",
"Sc",
"##h",
"##wei",
"##ger",
".",
"Sc",
"##an",
":",
"a",
"s",
"##tr",
"##uc",
"-",
"t",
"##ural",
"cluster",
"##ing",
"algorithm",
"for",
"networks",
".",
"In",
"Proceedings",
"of",
"the",
"13th",
"AC",
"##M",
"S",
"##IG",
"##K",
"##D",
"##D",
"international",
"conference",
"on",
"Knowledge",
"discovery",
"and",
"data",
"mining",
",",
"pages",
"82",
"##4",
"β",
"83",
"##3",
".",
"AC",
"##M",
",",
"2007",
".",
"Page",
"54",
"of",
"54",
"Pre",
"##face",
"Introduction",
"A",
"##cco",
"##unts",
"and",
"Ad",
"##dress",
"##es",
"A",
"##cco",
"##unt",
"state",
"NE",
"##M",
"addresses",
"Con",
"##vert",
"##ing",
"a",
"public",
"key",
"into",
"an",
"address",
"In",
"##ten",
"##tional",
"address",
"collision",
"Cry",
"##pt",
"##ography",
"Private",
"and",
"public",
"key",
"Sign",
"##ing",
"and",
"ve",
"##rification",
"of",
"a",
"signature",
"En",
"##co",
"##ding",
"and",
"de",
"##co",
"##ding",
"messages",
"Trans",
"##actions",
"Transfer",
"transactions",
"I",
"##mpo",
"##rta",
"##nce",
"transfer",
"transactions",
"Act",
"##ivating",
"De",
"##act",
"##ivating",
"Multi",
"##si",
"##g",
"related",
"transaction",
"types",
"A",
"##gg",
"##re",
"##gate",
"modification",
"transactions",
"(",
"multi",
"##si",
"##g",
"modification",
")",
"Multi",
"##si",
"##g",
"signature",
"transactions",
"Multi",
"##si",
"##g",
"transactions",
"Un",
"##con",
"##firmed",
"transactions",
"(",
"spa",
"##m",
"filter",
")",
"Block",
"##s",
"and",
"the",
"block",
"chain",
"Block",
"difficulty",
"Block",
"score",
"Block",
"creation",
"Block",
"chain",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"A",
"reputation",
"system",
"for",
"nodes",
"No",
"##de",
"interactions",
"Local",
"trust",
"value",
"A",
"##gg",
"##re",
"##gating",
"local",
"trust",
"values",
"En",
"##han",
"##cing",
"the",
"algorithm",
"Ben",
"##ef",
"##its",
"of",
"the",
"reputation",
"system",
"Pro",
"##of",
"-",
"of",
"-",
"I",
"##mpo",
"##rta",
"##nce",
"Eli",
"##gi",
"##bility",
"for",
"En",
"##tering",
"the",
"I",
"##mpo",
"##rta",
"##nce",
"Cal",
"##cula",
"##tion",
"The",
"out",
"##link",
"matrix",
"NC",
"##D",
"##awa",
"##re",
"##R",
"##an",
"##k",
"C",
"##luster",
"##ing",
"the",
"transaction",
"graph",
"Cal",
"##cula",
"##ting",
"I",
"##mpo",
"##rta",
"##nce",
"Score",
"##s",
"Resistance",
"to",
"Man",
"##ip",
"##ulation",
"S",
"##y",
"##bil",
"Attack",
"Loop",
"Attack",
"Nothing",
"-",
"at",
"-",
"St",
"##ake",
"Problem",
"Co",
"##mp",
"##aring",
"importance",
"to",
"stake",
"Time",
"s",
"##ync",
"##hr",
"##oni",
"##zation",
"Gathering",
"samples",
"A",
"##pp",
"##lying",
"filters",
"to",
"remove",
"bad",
"data",
"Cal",
"##cula",
"##tion",
"of",
"the",
"effective",
"offset",
"Co",
"##up",
"##ling",
"and",
"threshold",
"Network",
"No",
"##de",
"Protocol",
"No",
"##de",
"Start",
"##up",
"No",
"##de",
"Discovery"
] | NEM White paper | 684 |
XEM
2. B | [
5083,
6094,
3633,
1880,
11336,
2087,
21298,
1302,
2007,
20045
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Ann",
"##ou",
"##nce",
"##ment",
"Re",
"##f",
"##resh",
"No",
"##de",
"Selection"
] | NEM White paper | 685 |
Blockchain Technology for Smartphones and Constrained IoT Devices: A Future Perspective and Implementation
Blockchain Technology for Smartphonesand Constrained IoT Devices:
A Future Perspective and Implementation
Konstantin Zhidanov β‘, Sergey Bezzateev οΏ½, Alexandra Afanasyeva οΏ½,Mikhail Sayfullin β‘, Sergey Vanurin β‘, Yulia Bardinova οΏ½, Aleksandr Ometov β
β‘ Enecuum HK Limited, Hong KongοΏ½ ITMO university, St. Petersburg, Russia
οΏ½ Saint Petersburg State University of Telecommunications, St. Petersburg, Russi | [
8093,
7147,
1394,
3529,
1111,
13015,
16215,
1105,
16752,
16468,
9044,
146,
1186,
1942,
15545,
7723,
131,
138,
7549,
14286,
16776,
1105,
146,
26318,
18415,
8093,
7147,
1394,
3529,
1111,
13015,
16215,
5709,
16752,
16468,
9044,
146,
1186,
1942,
15545,
7723,
131,
138,
7549,
14286,
16776,
1105,
146,
26318,
18415,
26956,
163,
3031,
6778,
3292,
793,
117,
25252,
4108,
22221,
26032,
1964,
117,
10362,
138,
16740,
2225,
16376,
1161,
117,
11329,
8652,
2365,
2836,
793,
117,
25252,
3605,
8212,
1179,
793,
117,
10684,
4567,
6523,
7126,
8625,
117,
26955,
152,
11006,
3292,
792,
793,
13832,
10294,
1358,
1818,
25660,
5975,
117,
3475,
3462,
9686,
20647,
2755,
117,
1457,
119,
7598,
117,
2733,
2216,
7598,
1426,
1239,
1104,
23356,
117,
1457,
119,
7598,
117,
2733,
792,
22876,
3365,
1162,
1239,
117,
22876,
3365,
1162,
117,
5776,
18653,
11922,
131,
172,
8209,
137,
4035,
10294,
1358,
1818,
119,
3254,
138,
4832,
15017,
783,
1109,
3510,
7147,
1394,
2815,
1110,
1971,
25395,
27537,
3091,
1104,
2030,
146,
16647,
1661,
119,
2082,
1104,
1103,
5197,
1394,
19628,
1107,
3510,
7147,
1394,
118,
2272,
5669,
1132,
12493,
2011,
6817,
16609,
1158,
1178,
1103,
5463,
7631,
119,
1335,
1103,
1269,
1159,
117,
1103,
1329,
10008,
4330,
1895,
1105,
5093,
5197,
1336,
1145,
1561,
170,
1226,
1104,
27467,
7147,
1394,
2805,
117,
2108,
1219,
1103,
13758,
1159,
119,
1109,
26311,
10500,
1103,
5417,
1104,
1606,
170,
1415,
1295,
1104,
14255,
118,
12448,
5197,
4374,
1103,
2805,
1104,
1103,
3510,
7147,
1394,
119,
1109,
16065,
2646,
8569,
1104,
1216,
5197,
1110,
2637,
1106,
4607,
1103,
8096,
10008,
1103,
1449,
1105,
1145,
1106,
9781,
170,
1167,
6432,
1295,
1104,
19399,
1116,
119,
14593,
1116,
17794,
170,
2281,
10923,
9932,
1359,
1113,
1161,
4612,
1104,
5096,
10008,
118,
1104,
118,
6955,
113,
18959,
2924,
114,
117,
5096,
10008,
118,
1104,
118,
2173,
6366,
113,
18959,
1592,
114,
117,
1105,
5096,
10008,
118,
1104,
118,
1457,
9899,
113,
18959,
1708,
114,
119,
1109,
2526,
1148,
24431,
1116,
1103,
3685,
16468,
1566,
19310,
1105,
1748,
4856,
1103,
1872,
5354,
6451,
9597,
1643,
10205,
8588,
1116,
1215,
1106,
3076,
170,
3510,
7147,
1394,
5336,
5093,
5197,
119,
138,
27647,
11470,
18294,
10540,
1104,
1103,
2011,
1449,
1110,
1145,
2136,
1394,
1103,
2526,
119,
7443,
15573,
783,
3510,
7147,
1394,
117,
4901,
2344,
117,
6379,
117,
12647,
9538,
118,
189,
5266,
117,
2174,
7281,
146,
119,
15969,
23313,
15609,
21986,
21669,
11414,
16716,
150,
14697,
2240,
12152,
21669,
11414,
1109,
4784,
1104,
27400,
2528,
1394,
1118,
26824,
5933,
11896,
1968,
12610,
1107,
1369,
9574,
170,
2418,
3772,
1113,
3539,
2808,
164,
122,
166,
119,
1249,
170,
1148,
2585,
117,
27400,
2528,
1394,
118,
1176,
5354,
6451,
13335,
2149,
5123,
9805,
1882,
1126,
4450,
10034,
1348,
16748,
5838,
2798,
26213,
119,
1438,
117,
1223,
6709,
3381,
1122,
2887,
170,
8057,
1116,
16430,
3798,
12675,
15036,
131,
3510,
7147,
1394,
2815,
119,
1109,
4683,
1115,
1180,
2331,
1250,
1178,
1194,
18062,
8954,
1174,
25864,
11659,
1169,
1208,
4732,
1443,
1251,
14255,
118,
188,
17071,
3797,
1106,
1103,
3748,
1229,
8338,
1103,
1269,
2217,
10182,
12298,
1105
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
13,
14,
14,
14,
14,
0,
13,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
13,
14,
14,
14,
14,
0,
13,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
19,
20,
20,
20,
20,
20,
20,
20,
20,
20,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Block",
"##cha",
"##in",
"Technology",
"for",
"Smart",
"##phones",
"and",
"Con",
"##stra",
"##ined",
"I",
"##o",
"##T",
"Devi",
"##ces",
":",
"A",
"Future",
"Per",
"##spective",
"and",
"I",
"##mple",
"##mentation",
"Block",
"##cha",
"##in",
"Technology",
"for",
"Smart",
"##phones",
"##and",
"Con",
"##stra",
"##ined",
"I",
"##o",
"##T",
"Devi",
"##ces",
":",
"A",
"Future",
"Per",
"##spective",
"and",
"I",
"##mple",
"##mentation",
"Konstantin",
"Z",
"##hi",
"##dan",
"##ov",
"β‘",
",",
"Sergey",
"Be",
"##zza",
"##tee",
"##v",
",",
"Alexandra",
"A",
"##fan",
"##as",
"##yev",
"##a",
",",
"Mikhail",
"Say",
"##ful",
"##lin",
"β‘",
",",
"Sergey",
"Van",
"##uri",
"##n",
"β‘",
",",
"Yu",
"##lia",
"Bar",
"##din",
"##ova",
",",
"Aleksandr",
"O",
"##met",
"##ov",
"β ",
"β‘",
"En",
"##ec",
"##u",
"##um",
"HK",
"Limited",
",",
"Hong",
"Kong",
"IT",
"##MO",
"university",
",",
"St",
".",
"Petersburg",
",",
"Russia",
"Saint",
"Petersburg",
"State",
"University",
"of",
"Telecommunications",
",",
"St",
".",
"Petersburg",
",",
"Russia",
"β ",
"Tam",
"##per",
"##e",
"University",
",",
"Tam",
"##per",
"##e",
",",
"Finland",
"Em",
"##ail",
":",
"c",
"##eo",
"@",
"en",
"##ec",
"##u",
"##um",
".",
"com",
"A",
"##bs",
"##tract",
"β",
"The",
"block",
"##cha",
"##in",
"technology",
"is",
"currently",
"penetrating",
"##different",
"sides",
"of",
"modern",
"I",
"##CT",
"community",
".",
"Most",
"of",
"the",
"devices",
"##in",
"##volved",
"in",
"block",
"##cha",
"##in",
"-",
"related",
"processes",
"are",
"specially",
"designed",
"##tar",
"##get",
"##ing",
"only",
"the",
"mining",
"aspect",
".",
"At",
"the",
"same",
"time",
",",
"the",
"use",
"##of",
"wear",
"##able",
"and",
"mobile",
"devices",
"may",
"also",
"become",
"a",
"part",
"of",
"##block",
"##cha",
"##in",
"operation",
",",
"especially",
"during",
"the",
"charging",
"time",
".",
"The",
"##paper",
"considers",
"the",
"possibility",
"of",
"using",
"a",
"large",
"number",
"of",
"con",
"-",
"strained",
"devices",
"supporting",
"the",
"operation",
"of",
"the",
"block",
"##cha",
"##in",
".",
"The",
"##uti",
"##li",
"##zation",
"of",
"such",
"devices",
"is",
"expected",
"to",
"improve",
"the",
"efficiency",
"##of",
"the",
"system",
"and",
"also",
"to",
"attract",
"a",
"more",
"substantial",
"number",
"of",
"##user",
"##s",
".",
"Author",
"##s",
"propose",
"a",
"novel",
"consensus",
"algorithm",
"based",
"on",
"##a",
"combination",
"of",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"(",
"Po",
"##W",
")",
",",
"Pro",
"##of",
"-",
"of",
"-",
"Act",
"##ivity",
"(",
"Po",
"##A",
")",
",",
"and",
"Pro",
"##of",
"-",
"of",
"-",
"St",
"##ake",
"(",
"Po",
"##S",
")",
".",
"The",
"paper",
"first",
"overview",
"##s",
"the",
"existing",
"##stra",
"##te",
"##gies",
"and",
"further",
"describes",
"the",
"developed",
"cry",
"##pt",
"##ographic",
"##p",
"##rim",
"##itive",
"##s",
"used",
"to",
"build",
"a",
"block",
"##cha",
"##in",
"involving",
"mobile",
"devices",
".",
"A",
"##bri",
"##ef",
"numerical",
"evaluation",
"of",
"the",
"designed",
"system",
"is",
"also",
"provided",
"##in",
"the",
"paper",
".",
"Key",
"##words",
"β",
"block",
"##cha",
"##in",
",",
"distributed",
"systems",
",",
"networks",
",",
"app",
"##lica",
"-",
"t",
"##ions",
",",
"future",
"perspective",
"I",
".",
"IN",
"##TR",
"##OD",
"##UC",
"##TI",
"##ON",
"AND",
"M",
"##OT",
"##I",
"##VA",
"##TI",
"##ON",
"The",
"introduction",
"of",
"Bit",
"##co",
"##in",
"by",
"Sato",
"##shi",
"Na",
"##ka",
"##moto",
"in",
"2008",
"##had",
"a",
"significant",
"impact",
"on",
"digital",
"society",
"[",
"1",
"]",
".",
"As",
"a",
"first",
"step",
",",
"Bit",
"##co",
"##in",
"-",
"like",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cies",
"seemed",
"an",
"extremely",
"innovative",
"##al",
"##tern",
"##ative",
"financial",
"paradigm",
".",
"However",
",",
"under",
"##pin",
"##ning",
"it",
"lies",
"a",
"##fa",
"##s",
"##cin",
"##ating",
"technological",
"breakthrough",
":",
"block",
"##cha",
"##in",
"technology",
".",
"The",
"applications",
"that",
"could",
"previously",
"work",
"only",
"through",
"##tr",
"##ust",
"##ed",
"centralized",
"entities",
"can",
"now",
"operate",
"without",
"any",
"con",
"-",
"s",
"##tant",
"connection",
"to",
"the",
"authority",
"while",
"maintaining",
"the",
"same",
"##se",
"##cu",
"##rity",
"and"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 686 |
Blockchain Technology for Smartphones and Constrained IoT Devices: A Future Perspective and Implementation
Blockchain Technology for Smartphonesand Constrained IoT Devices:
A Future Perspective and Implementation
Konstantin Zhidanov β‘, Sergey Bezzateev οΏ½, Alexandra Afanasyeva οΏ½,Mikhail Sayfullin β‘, Sergey Vanurin β‘, Yulia Bardinova οΏ½, Aleksandr Ometov β
β‘ Enecuum HK Limited, Hong KongοΏ½ ITMO university, St. Petersburg, Russia
οΏ½ Saint Petersburg State University of Telecommunications, St. Petersburg, Russi | [
8093,
7147,
1394,
3529,
1111,
13015,
16215,
1105,
16752,
16468,
9044,
146,
1186,
1942,
15545,
7723,
131,
138,
7549,
14286,
16776,
1105,
146,
26318,
18415,
8093,
7147,
1394,
3529,
1111,
13015,
16215,
5709,
16752,
16468,
9044,
146,
1186,
1942,
15545,
7723,
131,
138,
7549,
14286,
16776,
1105,
146,
26318,
18415,
26956,
163,
3031,
6778,
3292,
793,
117,
25252,
4108,
22221,
26032,
1964,
117,
10362,
138,
16740,
2225,
16376,
1161,
117,
11329,
8652,
2365,
2836,
793,
117,
25252,
3605,
8212,
1179,
793,
117,
10684,
4567,
6523,
7126,
8625,
117,
26955,
152,
11006,
3292,
792,
793,
13832,
10294,
1358,
1818,
25660,
5975,
117,
3475,
3462,
9686,
20647,
2755,
117,
1457,
119,
7598,
117,
2733,
2216,
7598,
1426,
1239,
1104,
23356,
117,
1457,
119,
7598,
117,
2733,
792,
22876,
3365,
1162,
1239,
117,
22876,
3365,
1162,
117,
5776,
18653,
11922,
131,
172,
8209,
137,
4035,
10294,
1358,
1818,
119,
3254,
138,
4832,
15017,
783,
1109,
3510,
7147,
1394,
2815,
1110,
1971,
25395,
27537,
3091,
1104,
2030,
146,
16647,
1661,
119,
2082,
1104,
1103,
5197,
1394,
19628,
1107,
3510,
7147,
1394,
118,
2272,
5669,
1132,
12493,
2011,
6817,
16609,
1158,
1178,
1103,
5463,
7631,
119,
1335,
1103,
1269,
1159,
117,
1103,
1329,
10008,
4330,
1895,
1105,
5093,
5197,
1336,
1145,
1561,
170,
1226,
1104,
27467,
7147,
1394,
2805,
117,
2108,
1219,
1103,
13758,
1159,
119,
1109,
26311,
10500,
1103,
5417,
1104,
1606,
170,
1415,
1295,
1104,
14255,
118,
12448,
5197,
4374,
1103,
2805,
1104,
1103,
3510,
7147,
1394,
119,
1109,
16065,
2646,
8569,
1104,
1216,
5197,
1110,
2637,
1106,
4607,
1103,
8096,
10008,
1103,
1449,
1105,
1145,
1106,
9781,
170,
1167,
6432,
1295,
1104,
19399,
1116,
119,
14593,
1116,
17794,
170,
2281,
10923,
9932,
1359,
1113,
1161,
4612,
1104,
5096,
10008,
118,
1104,
118,
6955,
113,
18959,
2924,
114,
117,
5096,
10008,
118,
1104,
118,
2173,
6366,
113,
18959,
1592,
114,
117,
1105,
5096,
10008,
118,
1104,
118,
1457,
9899,
113,
18959,
1708,
114,
119,
1109,
2526,
1148,
24431,
1116,
1103,
3685,
16468,
1566,
19310,
1105,
1748,
4856,
1103,
1872,
5354,
6451,
9597,
1643,
10205,
8588,
1116,
1215,
1106,
3076,
170,
3510,
7147,
1394,
5336,
5093,
5197,
119,
138,
27647,
11470,
18294,
10540,
1104,
1103,
2011,
1449,
1110,
1145,
2136,
1394,
1103,
2526,
119,
7443,
15573,
783,
3510,
7147,
1394,
117,
4901,
2344,
117,
6379,
117,
12647,
9538,
118,
189,
5266,
117,
2174,
7281,
146,
119,
15969,
23313,
15609,
21986,
21669,
11414,
16716,
150,
14697,
2240,
12152,
21669,
11414,
1109,
4784,
1104,
27400,
2528,
1394,
1118,
26824,
5933,
11896,
1968,
12610,
1107,
1369,
9574,
170,
2418,
3772,
1113,
3539,
2808,
164,
122,
166,
119,
1249,
170,
1148,
2585,
117,
27400,
2528,
1394,
118,
1176,
5354,
6451,
13335,
2149,
5123,
9805,
1882,
1126,
4450,
10034,
1348,
16748,
5838,
2798,
26213,
119,
1438,
117,
1223,
6709,
3381,
1122,
2887,
170,
8057,
1116,
16430,
3798,
12675,
15036,
131,
3510,
7147,
1394,
2815,
119,
1109,
4683,
1115,
1180,
2331,
1250,
1178,
1194,
18062,
8954,
1174,
25864,
11659,
1169,
1208,
4732,
1443,
1251,
14255,
118,
188,
17071,
3797,
1106,
1103,
3748,
1229,
8338,
1103,
1269,
2217,
10182,
12298,
1105
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"Block",
"##cha",
"##in",
"Technology",
"for",
"Smart",
"##phones",
"and",
"Con",
"##stra",
"##ined",
"I",
"##o",
"##T",
"Devi",
"##ces",
":",
"A",
"Future",
"Per",
"##spective",
"and",
"I",
"##mple",
"##mentation",
"Block",
"##cha",
"##in",
"Technology",
"for",
"Smart",
"##phones",
"##and",
"Con",
"##stra",
"##ined",
"I",
"##o",
"##T",
"Devi",
"##ces",
":",
"A",
"Future",
"Per",
"##spective",
"and",
"I",
"##mple",
"##mentation",
"Konstantin",
"Z",
"##hi",
"##dan",
"##ov",
"β‘",
",",
"Sergey",
"Be",
"##zza",
"##tee",
"##v",
",",
"Alexandra",
"A",
"##fan",
"##as",
"##yev",
"##a",
",",
"Mikhail",
"Say",
"##ful",
"##lin",
"β‘",
",",
"Sergey",
"Van",
"##uri",
"##n",
"β‘",
",",
"Yu",
"##lia",
"Bar",
"##din",
"##ova",
",",
"Aleksandr",
"O",
"##met",
"##ov",
"β ",
"β‘",
"En",
"##ec",
"##u",
"##um",
"HK",
"Limited",
",",
"Hong",
"Kong",
"IT",
"##MO",
"university",
",",
"St",
".",
"Petersburg",
",",
"Russia",
"Saint",
"Petersburg",
"State",
"University",
"of",
"Telecommunications",
",",
"St",
".",
"Petersburg",
",",
"Russia",
"β ",
"Tam",
"##per",
"##e",
"University",
",",
"Tam",
"##per",
"##e",
",",
"Finland",
"Em",
"##ail",
":",
"c",
"##eo",
"@",
"en",
"##ec",
"##u",
"##um",
".",
"com",
"A",
"##bs",
"##tract",
"β",
"The",
"block",
"##cha",
"##in",
"technology",
"is",
"currently",
"penetrating",
"##different",
"sides",
"of",
"modern",
"I",
"##CT",
"community",
".",
"Most",
"of",
"the",
"devices",
"##in",
"##volved",
"in",
"block",
"##cha",
"##in",
"-",
"related",
"processes",
"are",
"specially",
"designed",
"##tar",
"##get",
"##ing",
"only",
"the",
"mining",
"aspect",
".",
"At",
"the",
"same",
"time",
",",
"the",
"use",
"##of",
"wear",
"##able",
"and",
"mobile",
"devices",
"may",
"also",
"become",
"a",
"part",
"of",
"##block",
"##cha",
"##in",
"operation",
",",
"especially",
"during",
"the",
"charging",
"time",
".",
"The",
"##paper",
"considers",
"the",
"possibility",
"of",
"using",
"a",
"large",
"number",
"of",
"con",
"-",
"strained",
"devices",
"supporting",
"the",
"operation",
"of",
"the",
"block",
"##cha",
"##in",
".",
"The",
"##uti",
"##li",
"##zation",
"of",
"such",
"devices",
"is",
"expected",
"to",
"improve",
"the",
"efficiency",
"##of",
"the",
"system",
"and",
"also",
"to",
"attract",
"a",
"more",
"substantial",
"number",
"of",
"##user",
"##s",
".",
"Author",
"##s",
"propose",
"a",
"novel",
"consensus",
"algorithm",
"based",
"on",
"##a",
"combination",
"of",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"(",
"Po",
"##W",
")",
",",
"Pro",
"##of",
"-",
"of",
"-",
"Act",
"##ivity",
"(",
"Po",
"##A",
")",
",",
"and",
"Pro",
"##of",
"-",
"of",
"-",
"St",
"##ake",
"(",
"Po",
"##S",
")",
".",
"The",
"paper",
"first",
"overview",
"##s",
"the",
"existing",
"##stra",
"##te",
"##gies",
"and",
"further",
"describes",
"the",
"developed",
"cry",
"##pt",
"##ographic",
"##p",
"##rim",
"##itive",
"##s",
"used",
"to",
"build",
"a",
"block",
"##cha",
"##in",
"involving",
"mobile",
"devices",
".",
"A",
"##bri",
"##ef",
"numerical",
"evaluation",
"of",
"the",
"designed",
"system",
"is",
"also",
"provided",
"##in",
"the",
"paper",
".",
"Key",
"##words",
"β",
"block",
"##cha",
"##in",
",",
"distributed",
"systems",
",",
"networks",
",",
"app",
"##lica",
"-",
"t",
"##ions",
",",
"future",
"perspective",
"I",
".",
"IN",
"##TR",
"##OD",
"##UC",
"##TI",
"##ON",
"AND",
"M",
"##OT",
"##I",
"##VA",
"##TI",
"##ON",
"The",
"introduction",
"of",
"Bit",
"##co",
"##in",
"by",
"Sato",
"##shi",
"Na",
"##ka",
"##moto",
"in",
"2008",
"##had",
"a",
"significant",
"impact",
"on",
"digital",
"society",
"[",
"1",
"]",
".",
"As",
"a",
"first",
"step",
",",
"Bit",
"##co",
"##in",
"-",
"like",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cies",
"seemed",
"an",
"extremely",
"innovative",
"##al",
"##tern",
"##ative",
"financial",
"paradigm",
".",
"However",
",",
"under",
"##pin",
"##ning",
"it",
"lies",
"a",
"##fa",
"##s",
"##cin",
"##ating",
"technological",
"breakthrough",
":",
"block",
"##cha",
"##in",
"technology",
".",
"The",
"applications",
"that",
"could",
"previously",
"work",
"only",
"through",
"##tr",
"##ust",
"##ed",
"centralized",
"entities",
"can",
"now",
"operate",
"without",
"any",
"con",
"-",
"s",
"##tant",
"connection",
"to",
"the",
"authority",
"while",
"maintaining",
"the",
"same",
"##se",
"##cu",
"##rity",
"and"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 687 |
aβ Tampere University, Tampere, Finland
Email: ceo @ enecuum.com
Abstract β The blockchain technology is currently penetratingdifferent sides of modern ICT community. Most of the devicesinvolved in blockchain-related processes are specially designedtargeting only the mining aspect. At the same time, the useof wearable and mobile devices may also become a part ofblockchain operation, especially during the charging time. Thepaper considers the possibility of using a large number of con-strained devices supp | [
9248,
1103,
2905,
1449,
16354,
164,
123,
166,
119,
1188,
23902,
2672,
1144,
2925,
1103,
7249,
10008,
3510,
7147,
1394,
2894,
7228,
5354,
6451,
13335,
2149,
5123,
3457,
1298,
164,
124,
166,
119,
1109,
1514,
1911,
1481,
3510,
7147,
1394,
2111,
2887,
1107,
1103,
3400,
10008,
3496,
164,
125,
166,
119,
1188,
1911,
1110,
1359,
1113,
1103,
1864,
1115,
3512,
10879,
5970,
16279,
1107,
1103,
1449,
1202,
1136,
9073,
1221,
1137,
3496,
1296,
12858,
1200,
1133,
1253,
1138,
1126,
3767,
1106,
14715,
11179,
5343,
1193,
119,
1109,
5613,
1104,
3510,
7147,
1394,
11125,
1116,
1103,
1444,
1111,
1103,
6083,
1105,
7235,
6105,
8163,
5972,
1118,
1103,
25864,
112,
9373,
112,
3748,
117,
2456,
117,
12619,
1103,
2443,
1106,
4732,
1107,
170,
4901,
4758,
119,
7817,
1106,
1157,
1271,
117,
1103,
3002,
1104,
14409,
1206,
15029,
1394,
170,
3510,
7147,
1394,
2443,
1132,
3366,
1107,
170,
2233,
2401,
1227,
1112,
107,
5511,
107,
119,
138,
1326,
1104,
5511,
1132,
4768,
1107,
170,
10802,
1394,
13782,
17764,
118,
1159,
1546,
1118,
170,
5128,
118,
2190,
1176,
2233,
1947,
1227,
2225,
1103,
4129,
1104,
5511,
117,
178,
119,
174,
119,
117,
107,
3510,
7147,
1394,
107,
119,
1109,
3510,
7147,
1394,
1110,
1918,
10879,
19836,
1181,
1112,
12647,
16264,
1178,
1469,
16498,
1116,
1104,
2111,
1118,
1173,
19419,
7828,
1107,
1103,
16498,
1906,
10923,
1965,
119,
4187,
1106,
10681,
3510,
7147,
1394,
2400,
1104,
13280,
13601,
1777,
5474,
117,
1122,
1169,
1129,
11108,
1174,
1112,
1161,
13618,
1348,
1449,
1115,
13267,
170,
10923,
1106,
1532,
1439,
6439,
6635,
164,
126,
166,
119,
1109,
10923,
3486,
3527,
5250,
2822,
15197,
5562,
1643,
26554,
4338,
1105,
1169,
2456,
1129,
24228,
1181,
1112,
170,
8148,
1459,
27467,
1111,
25031,
2243,
7109,
1115,
3272,
1241,
1260,
2083,
25685,
5668,
5709,
5250,
2822,
15197,
5562,
10923,
119,
2082,
1104,
1103,
3510,
7147,
1394,
2805,
1110,
1359,
1113,
170,
12493,
4704,
11368,
1174,
5197,
782,
13418,
117,
178,
119,
174,
119,
117,
15029,
6713,
1106,
9474,
1103,
8178,
19675,
1348,
22747,
117,
1107,
1168,
1734,
117,
1106,
2519,
1103,
5096,
10008,
118,
1104,
118,
6955,
113,
18959,
2924,
114,
164,
127,
166,
1111,
1207,
3510,
3780,
117,
1105,
5022,
1121,
1172,
4798,
16198,
9806,
2628,
1114,
1122,
119,
139,
24683,
1193,
3522,
117,
170,
3510,
2515,
112,
1664,
7723,
112,
1115,
170,
2317,
1197,
1538,
1383,
1107,
1216,
1283,
1115,
1103,
1144,
1324,
1104,
1103,
2072,
3510,
1110,
2964,
1190,
170,
1227,
6817,
16609,
117,
1134,
1110,
3417,
170,
1304,
1353,
1295,
119,
1109,
7262,
1104,
25685,
2118,
1431,
1129,
10491,
9652,
2716,
2032,
1103,
7218,
10008,
1103,
1449,
164,
128,
166,
119,
1109,
5417,
1106,
8156,
3708,
1105,
1947,
1373,
1114,
13395,
118,
1185,
7810,
11778,
4385,
2019,
1353,
118,
3418,
11216,
1105,
3702,
2692,
1179,
4683,
1294,
1289,
17674,
1105,
4330,
1895,
5197,
1112,
19138,
1403,
23759,
1107,
1103,
4639,
1104,
7149,
113,
146,
1186,
1942,
114,
12675,
27510,
164,
129,
166,
119,
8774,
1141,
3775,
4330,
1895,
5197,
1132,
2637,
1106,
25665,
1103,
146,
1186,
1942,
1266,
1118,
17881,
1475,
164,
130,
166,
119,
11455,
19601
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"improving",
"the",
"overall",
"system",
"functionality",
"[",
"2",
"]",
".",
"This",
"distinguishing",
"feature",
"has",
"extended",
"the",
"implementation",
"##of",
"block",
"##cha",
"##in",
"beyond",
"conventional",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cy",
"area",
"[",
"3",
"]",
".",
"The",
"main",
"idea",
"behind",
"block",
"##cha",
"##in",
"itself",
"lies",
"in",
"the",
"concept",
"##of",
"trust",
"[",
"4",
"]",
".",
"This",
"idea",
"is",
"based",
"on",
"the",
"fact",
"that",
"parties",
"##int",
"##era",
"##cting",
"in",
"the",
"system",
"do",
"not",
"necessarily",
"know",
"or",
"trust",
"each",
"##oth",
"##er",
"but",
"still",
"have",
"an",
"opportunity",
"to",
"trans",
"##act",
"secure",
"##ly",
".",
"The",
"##use",
"of",
"block",
"##cha",
"##in",
"eliminate",
"##s",
"the",
"need",
"for",
"the",
"involvement",
"and",
"##con",
"##tin",
"##uous",
"maintenance",
"by",
"the",
"centralized",
"'",
"trusted",
"'",
"authority",
",",
"thus",
",",
"enabling",
"the",
"network",
"to",
"operate",
"in",
"a",
"distributed",
"manner",
".",
"True",
"to",
"its",
"name",
",",
"the",
"records",
"of",
"transactions",
"between",
"nodes",
"##in",
"a",
"block",
"##cha",
"##in",
"network",
"are",
"organized",
"in",
"a",
"data",
"structure",
"known",
"as",
"\"",
"blocks",
"\"",
".",
"A",
"series",
"of",
"blocks",
"are",
"arranged",
"in",
"a",
"strictly",
"##in",
"##cre",
"##asing",
"-",
"time",
"order",
"by",
"a",
"linked",
"-",
"list",
"like",
"data",
"style",
"known",
"##as",
"the",
"chain",
"of",
"blocks",
",",
"i",
".",
"e",
".",
",",
"\"",
"block",
"##cha",
"##in",
"\"",
".",
"The",
"block",
"##cha",
"##in",
"is",
"##ma",
"##int",
"##aine",
"##d",
"as",
"app",
"##ending",
"only",
"local",
"replica",
"##s",
"of",
"itself",
"by",
"then",
"##odes",
"participating",
"in",
"the",
"replica",
"##ted",
"consensus",
"process",
".",
"Due",
"to",
"##the",
"block",
"##cha",
"##in",
"property",
"of",
"im",
"##mu",
"##ta",
"##bility",
",",
"it",
"can",
"be",
"abstract",
"##ed",
"as",
"##a",
"transaction",
"##al",
"system",
"that",
"enables",
"a",
"consensus",
"to",
"form",
"within",
"##its",
"participants",
"[",
"5",
"]",
".",
"The",
"consensus",
"holds",
"unique",
"pro",
"##ba",
"##bil",
"##istic",
"##p",
"##roper",
"##ties",
"and",
"can",
"thus",
"be",
"leverage",
"##d",
"as",
"a",
"fundamental",
"building",
"##block",
"for",
"adaptive",
"middle",
"##ware",
"that",
"offers",
"both",
"de",
"##ter",
"##mini",
"##stic",
"##and",
"pro",
"##ba",
"##bil",
"##istic",
"consensus",
".",
"Most",
"of",
"the",
"block",
"##cha",
"##in",
"operation",
"is",
"based",
"on",
"a",
"specially",
"##des",
"##ign",
"##ed",
"devices",
"β",
"miners",
",",
"i",
".",
"e",
".",
",",
"nodes",
"attempting",
"to",
"solve",
"the",
"##com",
"##putation",
"##al",
"puzzles",
",",
"in",
"other",
"words",
",",
"to",
"reach",
"the",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"(",
"Po",
"##W",
")",
"[",
"6",
"]",
"for",
"new",
"block",
"creating",
",",
"and",
"profit",
"from",
"them",
"##one",
"##tary",
"compensation",
"associated",
"with",
"it",
".",
"B",
"##rief",
"##ly",
"speaking",
",",
"a",
"block",
"contains",
"'",
"non",
"##ces",
"'",
"that",
"a",
"mine",
"##r",
"must",
"set",
"in",
"such",
"away",
"that",
"the",
"has",
"##h",
"of",
"the",
"entire",
"block",
"is",
"smaller",
"than",
"a",
"known",
"##tar",
"##get",
",",
"which",
"is",
"typically",
"a",
"very",
"small",
"number",
".",
"The",
"difficulty",
"of",
"##mini",
"##ng",
"should",
"be",
"adjusted",
"dynamic",
"##ally",
"throughout",
"the",
"lifetime",
"##of",
"the",
"system",
"[",
"7",
"]",
".",
"The",
"possibility",
"to",
"custom",
"##ize",
"and",
"style",
"along",
"with",
"tech",
"-",
"no",
"##logical",
"enhance",
"##ments",
"towards",
"small",
"-",
"scale",
"electronics",
"and",
"##mo",
"##der",
"##n",
"applications",
"make",
"hand",
"##held",
"and",
"wear",
"##able",
"devices",
"as",
"##tron",
"##g",
"contender",
"in",
"the",
"Internet",
"of",
"Things",
"(",
"I",
"##o",
"##T",
")",
"technological",
"##race",
"[",
"8",
"]",
".",
"Almost",
"one",
"billion",
"wear",
"##able",
"devices",
"are",
"expected",
"to",
"##join",
"the",
"I",
"##o",
"##T",
"family",
"by",
"202",
"##1",
"[",
"9",
"]",
".",
"Said",
"fascinating"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 688 |
aβ Tampere University, Tampere, Finland
Email: ceo @ enecuum.com
Abstract β The blockchain technology is currently penetratingdifferent sides of modern ICT community. Most of the devicesinvolved in blockchain-related processes are specially designedtargeting only the mining aspect. At the same time, the useof wearable and mobile devices may also become a part ofblockchain operation, especially during the charging time. Thepaper considers the possibility of using a large number of con-strained devices supp | [
9248,
1103,
2905,
1449,
16354,
164,
123,
166,
119,
1188,
23902,
2672,
1144,
2925,
1103,
7249,
10008,
3510,
7147,
1394,
2894,
7228,
5354,
6451,
13335,
2149,
5123,
3457,
1298,
164,
124,
166,
119,
1109,
1514,
1911,
1481,
3510,
7147,
1394,
2111,
2887,
1107,
1103,
3400,
10008,
3496,
164,
125,
166,
119,
1188,
1911,
1110,
1359,
1113,
1103,
1864,
1115,
3512,
10879,
5970,
16279,
1107,
1103,
1449,
1202,
1136,
9073,
1221,
1137,
3496,
1296,
12858,
1200,
1133,
1253,
1138,
1126,
3767,
1106,
14715,
11179,
5343,
1193,
119,
1109,
5613,
1104,
3510,
7147,
1394,
11125,
1116,
1103,
1444,
1111,
1103,
6083,
1105,
7235,
6105,
8163,
5972,
1118,
1103,
25864,
112,
9373,
112,
3748,
117,
2456,
117,
12619,
1103,
2443,
1106,
4732,
1107,
170,
4901,
4758,
119,
7817,
1106,
1157,
1271,
117,
1103,
3002,
1104,
14409,
1206,
15029,
1394,
170,
3510,
7147,
1394,
2443,
1132,
3366,
1107,
170,
2233,
2401,
1227,
1112,
107,
5511,
107,
119,
138,
1326,
1104,
5511,
1132,
4768,
1107,
170,
10802,
1394,
13782,
17764,
118,
1159,
1546,
1118,
170,
5128,
118,
2190,
1176,
2233,
1947,
1227,
2225,
1103,
4129,
1104,
5511,
117,
178,
119,
174,
119,
117,
107,
3510,
7147,
1394,
107,
119,
1109,
3510,
7147,
1394,
1110,
1918,
10879,
19836,
1181,
1112,
12647,
16264,
1178,
1469,
16498,
1116,
1104,
2111,
1118,
1173,
19419,
7828,
1107,
1103,
16498,
1906,
10923,
1965,
119,
4187,
1106,
10681,
3510,
7147,
1394,
2400,
1104,
13280,
13601,
1777,
5474,
117,
1122,
1169,
1129,
11108,
1174,
1112,
1161,
13618,
1348,
1449,
1115,
13267,
170,
10923,
1106,
1532,
1439,
6439,
6635,
164,
126,
166,
119,
1109,
10923,
3486,
3527,
5250,
2822,
15197,
5562,
1643,
26554,
4338,
1105,
1169,
2456,
1129,
24228,
1181,
1112,
170,
8148,
1459,
27467,
1111,
25031,
2243,
7109,
1115,
3272,
1241,
1260,
2083,
25685,
5668,
5709,
5250,
2822,
15197,
5562,
10923,
119,
2082,
1104,
1103,
3510,
7147,
1394,
2805,
1110,
1359,
1113,
170,
12493,
4704,
11368,
1174,
5197,
782,
13418,
117,
178,
119,
174,
119,
117,
15029,
6713,
1106,
9474,
1103,
8178,
19675,
1348,
22747,
117,
1107,
1168,
1734,
117,
1106,
2519,
1103,
5096,
10008,
118,
1104,
118,
6955,
113,
18959,
2924,
114,
164,
127,
166,
1111,
1207,
3510,
3780,
117,
1105,
5022,
1121,
1172,
4798,
16198,
9806,
2628,
1114,
1122,
119,
139,
24683,
1193,
3522,
117,
170,
3510,
2515,
112,
1664,
7723,
112,
1115,
170,
2317,
1197,
1538,
1383,
1107,
1216,
1283,
1115,
1103,
1144,
1324,
1104,
1103,
2072,
3510,
1110,
2964,
1190,
170,
1227,
6817,
16609,
117,
1134,
1110,
3417,
170,
1304,
1353,
1295,
119,
1109,
7262,
1104,
25685,
2118,
1431,
1129,
10491,
9652,
2716,
2032,
1103,
7218,
10008,
1103,
1449,
164,
128,
166,
119,
1109,
5417,
1106,
8156,
3708,
1105,
1947,
1373,
1114,
13395,
118,
1185,
7810,
11778,
4385,
2019,
1353,
118,
3418,
11216,
1105,
3702,
2692,
1179,
4683,
1294,
1289,
17674,
1105,
4330,
1895,
5197,
1112,
19138,
1403,
23759,
1107,
1103,
4639,
1104,
7149,
113,
146,
1186,
1942,
114,
12675,
27510,
164,
129,
166,
119,
8774,
1141,
3775,
4330,
1895,
5197,
1132,
2637,
1106,
25665,
1103,
146,
1186,
1942,
1266,
1118,
17881,
1475,
164,
130,
166,
119,
11455,
19601
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"improving",
"the",
"overall",
"system",
"functionality",
"[",
"2",
"]",
".",
"This",
"distinguishing",
"feature",
"has",
"extended",
"the",
"implementation",
"##of",
"block",
"##cha",
"##in",
"beyond",
"conventional",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cy",
"area",
"[",
"3",
"]",
".",
"The",
"main",
"idea",
"behind",
"block",
"##cha",
"##in",
"itself",
"lies",
"in",
"the",
"concept",
"##of",
"trust",
"[",
"4",
"]",
".",
"This",
"idea",
"is",
"based",
"on",
"the",
"fact",
"that",
"parties",
"##int",
"##era",
"##cting",
"in",
"the",
"system",
"do",
"not",
"necessarily",
"know",
"or",
"trust",
"each",
"##oth",
"##er",
"but",
"still",
"have",
"an",
"opportunity",
"to",
"trans",
"##act",
"secure",
"##ly",
".",
"The",
"##use",
"of",
"block",
"##cha",
"##in",
"eliminate",
"##s",
"the",
"need",
"for",
"the",
"involvement",
"and",
"##con",
"##tin",
"##uous",
"maintenance",
"by",
"the",
"centralized",
"'",
"trusted",
"'",
"authority",
",",
"thus",
",",
"enabling",
"the",
"network",
"to",
"operate",
"in",
"a",
"distributed",
"manner",
".",
"True",
"to",
"its",
"name",
",",
"the",
"records",
"of",
"transactions",
"between",
"nodes",
"##in",
"a",
"block",
"##cha",
"##in",
"network",
"are",
"organized",
"in",
"a",
"data",
"structure",
"known",
"as",
"\"",
"blocks",
"\"",
".",
"A",
"series",
"of",
"blocks",
"are",
"arranged",
"in",
"a",
"strictly",
"##in",
"##cre",
"##asing",
"-",
"time",
"order",
"by",
"a",
"linked",
"-",
"list",
"like",
"data",
"style",
"known",
"##as",
"the",
"chain",
"of",
"blocks",
",",
"i",
".",
"e",
".",
",",
"\"",
"block",
"##cha",
"##in",
"\"",
".",
"The",
"block",
"##cha",
"##in",
"is",
"##ma",
"##int",
"##aine",
"##d",
"as",
"app",
"##ending",
"only",
"local",
"replica",
"##s",
"of",
"itself",
"by",
"then",
"##odes",
"participating",
"in",
"the",
"replica",
"##ted",
"consensus",
"process",
".",
"Due",
"to",
"##the",
"block",
"##cha",
"##in",
"property",
"of",
"im",
"##mu",
"##ta",
"##bility",
",",
"it",
"can",
"be",
"abstract",
"##ed",
"as",
"##a",
"transaction",
"##al",
"system",
"that",
"enables",
"a",
"consensus",
"to",
"form",
"within",
"##its",
"participants",
"[",
"5",
"]",
".",
"The",
"consensus",
"holds",
"unique",
"pro",
"##ba",
"##bil",
"##istic",
"##p",
"##roper",
"##ties",
"and",
"can",
"thus",
"be",
"leverage",
"##d",
"as",
"a",
"fundamental",
"building",
"##block",
"for",
"adaptive",
"middle",
"##ware",
"that",
"offers",
"both",
"de",
"##ter",
"##mini",
"##stic",
"##and",
"pro",
"##ba",
"##bil",
"##istic",
"consensus",
".",
"Most",
"of",
"the",
"block",
"##cha",
"##in",
"operation",
"is",
"based",
"on",
"a",
"specially",
"##des",
"##ign",
"##ed",
"devices",
"β",
"miners",
",",
"i",
".",
"e",
".",
",",
"nodes",
"attempting",
"to",
"solve",
"the",
"##com",
"##putation",
"##al",
"puzzles",
",",
"in",
"other",
"words",
",",
"to",
"reach",
"the",
"Pro",
"##of",
"-",
"of",
"-",
"Work",
"(",
"Po",
"##W",
")",
"[",
"6",
"]",
"for",
"new",
"block",
"creating",
",",
"and",
"profit",
"from",
"them",
"##one",
"##tary",
"compensation",
"associated",
"with",
"it",
".",
"B",
"##rief",
"##ly",
"speaking",
",",
"a",
"block",
"contains",
"'",
"non",
"##ces",
"'",
"that",
"a",
"mine",
"##r",
"must",
"set",
"in",
"such",
"away",
"that",
"the",
"has",
"##h",
"of",
"the",
"entire",
"block",
"is",
"smaller",
"than",
"a",
"known",
"##tar",
"##get",
",",
"which",
"is",
"typically",
"a",
"very",
"small",
"number",
".",
"The",
"difficulty",
"of",
"##mini",
"##ng",
"should",
"be",
"adjusted",
"dynamic",
"##ally",
"throughout",
"the",
"lifetime",
"##of",
"the",
"system",
"[",
"7",
"]",
".",
"The",
"possibility",
"to",
"custom",
"##ize",
"and",
"style",
"along",
"with",
"tech",
"-",
"no",
"##logical",
"enhance",
"##ments",
"towards",
"small",
"-",
"scale",
"electronics",
"and",
"##mo",
"##der",
"##n",
"applications",
"make",
"hand",
"##held",
"and",
"wear",
"##able",
"devices",
"as",
"##tron",
"##g",
"contender",
"in",
"the",
"Internet",
"of",
"Things",
"(",
"I",
"##o",
"##T",
")",
"technological",
"##race",
"[",
"8",
"]",
".",
"Almost",
"one",
"billion",
"wear",
"##able",
"devices",
"are",
"expected",
"to",
"##join",
"the",
"I",
"##o",
"##T",
"family",
"by",
"202",
"##1",
"[",
"9",
"]",
".",
"Said",
"fascinating"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 689 |
orting the operation of the blockchain. Theutilization of such devices is expected to improve the efficiencyof the system and also to attract a more substantial number ofusers. Authors propose a novel consensus algorithm based ona combination of Proof-of-Work (PoW), Proof-of-Activity (PoA),and Proof-of-Stake (PoS). The paper first overviews the existingstrategies and further describes the developed cryptographicprimitives used to build a blockchain involving mobile devices. Abrief numerical evaluation of | [
1718,
1548,
170,
3759,
2049,
1481,
1103,
25628,
1104,
1103,
2952,
1105,
3309,
24632,
1348,
11308,
1115,
11323,
1106,
2561,
1126,
16789,
146,
1186,
1942,
19919,
1104,
1627,
27005,
14180,
1166,
1103,
1397,
4967,
117,
1105,
1122,
1110,
11708,
26426,
1174,
1115,
170,
2418,
6556,
1104,
1343,
5197,
1209,
3962,
6866,
16215,
119,
1247,
1132,
1971,
1164,
123,
119,
5729,
3775,
6866,
16215,
1107,
1103,
13070,
1475,
1105,
1103,
1903,
1141,
1169,
1965,
123,
3775,
8379,
7587,
2500,
1679,
1248,
113,
23485,
17195,
1708,
114,
123,
117,
2456,
117,
2128,
1366,
1114,
122,
1708,
3051,
107,
7421,
1104,
6866,
9293,
4713,
4529,
1121,
1387,
1106,
12795,
113,
1107,
3775,
1116,
114,
107,
1118,
1457,
11745,
8419,
117,
10351,
131,
18630,
131,
120,
120,
7001,
119,
188,
19756,
11663,
119,
3254,
120,
9161,
120,
1765,
24766,
1559,
1527,
120,
24647,
118,
1104,
118,
5093,
118,
2179,
118,
4713,
118,
4529,
120,
123,
1708,
3051,
107,
18821,
1158,
1540,
3402,
107,
1118,
16409,
17786,
1116,
7855,
117,
10351,
131,
18630,
131,
120,
120,
5097,
119,
8724,
118,
3670,
119,
3254,
120,
6165,
118,
1540,
118,
3402,
1406,
10351,
16206,
6880,
3047,
1113,
3518,
1130,
27960,
113,
18893,
2240,
114,
4087,
118,
122,
118,
5117,
1604,
1475,
118,
5037,
11049,
118,
123,
120,
1627,
120,
109,
1955,
119,
3135,
206,
10351,
16206,
2137,
2346,
2240,
1275,
119,
6745,
1580,
120,
18893,
2240,
119,
10351,
119,
1620,
1580,
1477,
7480,
1223,
11031,
126,
142,
12281,
17195,
1708,
119,
1188,
1540,
1169,
1129,
1215,
1394,
1103,
13618,
4128,
1105,
9221,
1891,
5669,
117,
6866,
7235,
26193,
117,
1137,
4901,
5092,
164,
1275,
166,
119,
7457,
1113,
1103,
1807,
117,
1593,
1251,
2030,
6866,
9293,
1640,
1144,
1103,
1540,
1106,
1129,
1161,
1226,
1104,
5096,
10008,
1104,
2173,
6366,
113,
18959,
1592,
114,
164,
1429,
166,
1105,
16621,
2272,
1665,
1616,
6451,
9597,
12130,
1116,
164,
1367,
166,
119,
17355,
1403,
119,
122,
119,
13015,
16215,
1112,
1226,
1104,
3510,
7147,
1394,
19534,
119,
1438,
117,
23660,
1158,
3510,
7147,
1394,
4683,
1106,
5093,
1260,
118,
4711,
1116,
3176,
1112,
4315,
13418,
4876,
1242,
3607,
7806,
119,
1135,
1110,
2871,
1496,
1106,
1103,
5463,
1965,
15640,
117,
178,
119,
174,
119,
117,
15097,
1103,
2101,
1186,
2924,
1115,
5315,
1136,
1178,
12783,
1540,
1133,
1145,
2308,
2087,
16071,
1103,
24775,
5093,
5197,
119,
1706,
4134,
1142,
4506,
117,
1103,
2652,
12783,
26213,
1108,
2234,
1118,
1103,
1844,
8178,
13601,
15092,
1111,
2740,
1104,
5093,
3510,
7147,
1394,
6379,
164,
1492,
166,
119,
1438,
117,
1122,
5315,
1103,
1329,
1104,
1167,
19903,
118,
1105,
9447,
118,
2457,
15029,
1106,
1321,
3510,
3964,
3721,
4935,
12679,
1104,
4315,
6866,
16215,
119,
1247,
1132,
117,
1649,
117,
170,
183,
1818,
118,
1129,
1197,
1104,
2317,
1197,
7249,
1116,
1104,
3510,
7147,
1394,
4683,
1111,
24557,
3740,
16215,
1133,
1122,
1144,
1151,
2602,
1115,
1103,
2467,
1104,
170,
1423,
24052,
4442,
3176,
1112,
170,
2317,
1197,
1107,
1103,
3510,
7147,
1394,
2443,
1548,
15773,
1895,
1495,
119,
12554,
9095,
117,
1103,
1329,
1104,
14255,
16468,
9044,
5197,
1110,
2412,
6775
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"development",
"##is",
"a",
"driving",
"force",
"behind",
"the",
"convergence",
"of",
"the",
"physical",
"and",
"##di",
"##git",
"##al",
"worlds",
"that",
"promises",
"to",
"create",
"an",
"unprecedented",
"I",
"##o",
"##T",
"##market",
"of",
"19",
"trillion",
"USD",
"over",
"the",
"next",
"decade",
",",
"and",
"it",
"is",
"##ex",
"##pect",
"##ed",
"that",
"a",
"significant",
"percentage",
"of",
"those",
"devices",
"will",
"##be",
"smart",
"##phones",
".",
"There",
"are",
"currently",
"about",
"2",
".",
"71",
"billion",
"smart",
"##phones",
"in",
"the",
"##world",
"##1",
"and",
"the",
"average",
"one",
"can",
"process",
"2",
"billion",
"floating",
"##point",
"operations",
"per",
"second",
"(",
"FL",
"##OP",
"##S",
")",
"2",
",",
"thus",
",",
"leaving",
"us",
"with",
"1",
"##S",
"##ee",
"\"",
"Number",
"of",
"smart",
"##phone",
"users",
"worldwide",
"from",
"2014",
"to",
"2020",
"(",
"in",
"billion",
"##s",
")",
"\"",
"by",
"St",
"##ati",
"##sta",
",",
"2019",
":",
"https",
":",
"/",
"/",
"www",
".",
"s",
"##tat",
"##ista",
".",
"com",
"/",
"statistics",
"/",
"27",
"##47",
"##7",
"##4",
"/",
"forecast",
"-",
"of",
"-",
"mobile",
"-",
"phone",
"-",
"users",
"-",
"worldwide",
"/",
"2",
"##S",
"##ee",
"\"",
"Process",
"##ing",
"power",
"compared",
"\"",
"by",
"Ex",
"##pert",
"##s",
"Exchange",
",",
"2019",
":",
"https",
":",
"/",
"/",
"pages",
".",
"experts",
"-",
"exchange",
".",
"com",
"/",
"processing",
"-",
"power",
"-",
"compared",
"20",
"2019",
"IEEE",
"21st",
"Conference",
"on",
"Business",
"In",
"##formatics",
"(",
"CB",
"##I",
")",
"978",
"-",
"1",
"-",
"72",
"##8",
"##1",
"-",
"06",
"##50",
"-",
"2",
"/",
"19",
"/",
"$",
"31",
".",
"00",
"Β©",
"2019",
"IEEE",
"##D",
"##O",
"##I",
"10",
".",
"110",
"##9",
"/",
"CB",
"##I",
".",
"2019",
".",
"100",
"##9",
"##2",
"constantly",
"under",
"##used",
"5",
"E",
"##FL",
"##OP",
"##S",
".",
"This",
"power",
"can",
"be",
"used",
"##in",
"the",
"transaction",
"publication",
"and",
"valid",
"##ation",
"processes",
",",
"smart",
"##con",
"##tracts",
",",
"or",
"distributed",
"storage",
"[",
"10",
"]",
".",
"Based",
"on",
"the",
"above",
",",
"almost",
"any",
"modern",
"smart",
"##phone",
"already",
"has",
"the",
"power",
"to",
"be",
"##a",
"part",
"of",
"Pro",
"##of",
"of",
"Act",
"##ivity",
"(",
"Po",
"##A",
")",
"[",
"11",
"]",
"and",
"execute",
"related",
"##c",
"##ry",
"##pt",
"##ographic",
"primitive",
"##s",
"[",
"12",
"]",
".",
"Fi",
"##g",
".",
"1",
".",
"Smart",
"##phones",
"as",
"part",
"of",
"block",
"##cha",
"##in",
"ecosystem",
".",
"However",
",",
"deploy",
"##ing",
"block",
"##cha",
"##in",
"applications",
"to",
"mobile",
"de",
"-",
"vice",
"##s",
"acting",
"as",
"actual",
"miners",
"faces",
"many",
"critical",
"challenges",
".",
"It",
"is",
"mainly",
"due",
"to",
"the",
"mining",
"process",
"habits",
",",
"i",
".",
"e",
".",
",",
"solving",
"the",
"##P",
"##o",
"##W",
"that",
"requires",
"not",
"only",
"computing",
"power",
"but",
"also",
"energy",
"##f",
"##rom",
"the",
"interacting",
"mobile",
"devices",
".",
"To",
"address",
"this",
"challenge",
",",
"the",
"edge",
"computing",
"paradigm",
"was",
"introduced",
"by",
"the",
"research",
"##com",
"##mu",
"##nity",
"for",
"cases",
"of",
"mobile",
"block",
"##cha",
"##in",
"networks",
"[",
"13",
"]",
".",
"However",
",",
"it",
"requires",
"the",
"use",
"of",
"more",
"computational",
"-",
"and",
"##power",
"-",
"independent",
"nodes",
"to",
"take",
"block",
"generation",
"actions",
"##ins",
"##tead",
"of",
"actual",
"smart",
"##phones",
".",
"There",
"are",
",",
"however",
",",
"a",
"n",
"##um",
"-",
"be",
"##r",
"of",
"mine",
"##r",
"implementation",
"##s",
"of",
"block",
"##cha",
"##in",
"applications",
"for",
"##sma",
"##rt",
"##phones",
"but",
"it",
"has",
"been",
"shown",
"that",
"the",
"income",
"of",
"a",
"single",
"##mobile",
"device",
"acting",
"as",
"a",
"mine",
"##r",
"in",
"the",
"block",
"##cha",
"##in",
"network",
"##is",
"nonprofit",
"##able",
"##3",
".",
"Worth",
"noting",
",",
"the",
"use",
"of",
"con",
"##stra",
"##ined",
"devices",
"is",
"generally",
"##und"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 690 |
orting the operation of the blockchain. Theutilization of such devices is expected to improve the efficiencyof the system and also to attract a more substantial number ofusers. Authors propose a novel consensus algorithm based ona combination of Proof-of-Work (PoW), Proof-of-Activity (PoA),and Proof-of-Stake (PoS). The paper first overviews the existingstrategies and further describes the developed cryptographicprimitives used to build a blockchain involving mobile devices. Abrief numerical evaluation of | [
1718,
1548,
170,
3759,
2049,
1481,
1103,
25628,
1104,
1103,
2952,
1105,
3309,
24632,
1348,
11308,
1115,
11323,
1106,
2561,
1126,
16789,
146,
1186,
1942,
19919,
1104,
1627,
27005,
14180,
1166,
1103,
1397,
4967,
117,
1105,
1122,
1110,
11708,
26426,
1174,
1115,
170,
2418,
6556,
1104,
1343,
5197,
1209,
3962,
6866,
16215,
119,
1247,
1132,
1971,
1164,
123,
119,
5729,
3775,
6866,
16215,
1107,
1103,
13070,
1475,
1105,
1103,
1903,
1141,
1169,
1965,
123,
3775,
8379,
7587,
2500,
1679,
1248,
113,
23485,
17195,
1708,
114,
123,
117,
2456,
117,
2128,
1366,
1114,
122,
1708,
3051,
107,
7421,
1104,
6866,
9293,
4713,
4529,
1121,
1387,
1106,
12795,
113,
1107,
3775,
1116,
114,
107,
1118,
1457,
11745,
8419,
117,
10351,
131,
18630,
131,
120,
120,
7001,
119,
188,
19756,
11663,
119,
3254,
120,
9161,
120,
1765,
24766,
1559,
1527,
120,
24647,
118,
1104,
118,
5093,
118,
2179,
118,
4713,
118,
4529,
120,
123,
1708,
3051,
107,
18821,
1158,
1540,
3402,
107,
1118,
16409,
17786,
1116,
7855,
117,
10351,
131,
18630,
131,
120,
120,
5097,
119,
8724,
118,
3670,
119,
3254,
120,
6165,
118,
1540,
118,
3402,
1406,
10351,
16206,
6880,
3047,
1113,
3518,
1130,
27960,
113,
18893,
2240,
114,
4087,
118,
122,
118,
5117,
1604,
1475,
118,
5037,
11049,
118,
123,
120,
1627,
120,
109,
1955,
119,
3135,
206,
10351,
16206,
2137,
2346,
2240,
1275,
119,
6745,
1580,
120,
18893,
2240,
119,
10351,
119,
1620,
1580,
1477,
7480,
1223,
11031,
126,
142,
12281,
17195,
1708,
119,
1188,
1540,
1169,
1129,
1215,
1394,
1103,
13618,
4128,
1105,
9221,
1891,
5669,
117,
6866,
7235,
26193,
117,
1137,
4901,
5092,
164,
1275,
166,
119,
7457,
1113,
1103,
1807,
117,
1593,
1251,
2030,
6866,
9293,
1640,
1144,
1103,
1540,
1106,
1129,
1161,
1226,
1104,
5096,
10008,
1104,
2173,
6366,
113,
18959,
1592,
114,
164,
1429,
166,
1105,
16621,
2272,
1665,
1616,
6451,
9597,
12130,
1116,
164,
1367,
166,
119,
17355,
1403,
119,
122,
119,
13015,
16215,
1112,
1226,
1104,
3510,
7147,
1394,
19534,
119,
1438,
117,
23660,
1158,
3510,
7147,
1394,
4683,
1106,
5093,
1260,
118,
4711,
1116,
3176,
1112,
4315,
13418,
4876,
1242,
3607,
7806,
119,
1135,
1110,
2871,
1496,
1106,
1103,
5463,
1965,
15640,
117,
178,
119,
174,
119,
117,
15097,
1103,
2101,
1186,
2924,
1115,
5315,
1136,
1178,
12783,
1540,
1133,
1145,
2308,
2087,
16071,
1103,
24775,
5093,
5197,
119,
1706,
4134,
1142,
4506,
117,
1103,
2652,
12783,
26213,
1108,
2234,
1118,
1103,
1844,
8178,
13601,
15092,
1111,
2740,
1104,
5093,
3510,
7147,
1394,
6379,
164,
1492,
166,
119,
1438,
117,
1122,
5315,
1103,
1329,
1104,
1167,
19903,
118,
1105,
9447,
118,
2457,
15029,
1106,
1321,
3510,
3964,
3721,
4935,
12679,
1104,
4315,
6866,
16215,
119,
1247,
1132,
117,
1649,
117,
170,
183,
1818,
118,
1129,
1197,
1104,
2317,
1197,
7249,
1116,
1104,
3510,
7147,
1394,
4683,
1111,
24557,
3740,
16215,
1133,
1122,
1144,
1151,
2602,
1115,
1103,
2467,
1104,
170,
1423,
24052,
4442,
3176,
1112,
170,
2317,
1197,
1107,
1103,
3510,
7147,
1394,
2443,
1548,
15773,
1895,
1495,
119,
12554,
9095,
117,
1103,
1329,
1104,
14255,
16468,
9044,
5197,
1110,
2412,
6775
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"development",
"##is",
"a",
"driving",
"force",
"behind",
"the",
"convergence",
"of",
"the",
"physical",
"and",
"##di",
"##git",
"##al",
"worlds",
"that",
"promises",
"to",
"create",
"an",
"unprecedented",
"I",
"##o",
"##T",
"##market",
"of",
"19",
"trillion",
"USD",
"over",
"the",
"next",
"decade",
",",
"and",
"it",
"is",
"##ex",
"##pect",
"##ed",
"that",
"a",
"significant",
"percentage",
"of",
"those",
"devices",
"will",
"##be",
"smart",
"##phones",
".",
"There",
"are",
"currently",
"about",
"2",
".",
"71",
"billion",
"smart",
"##phones",
"in",
"the",
"##world",
"##1",
"and",
"the",
"average",
"one",
"can",
"process",
"2",
"billion",
"floating",
"##point",
"operations",
"per",
"second",
"(",
"FL",
"##OP",
"##S",
")",
"2",
",",
"thus",
",",
"leaving",
"us",
"with",
"1",
"##S",
"##ee",
"\"",
"Number",
"of",
"smart",
"##phone",
"users",
"worldwide",
"from",
"2014",
"to",
"2020",
"(",
"in",
"billion",
"##s",
")",
"\"",
"by",
"St",
"##ati",
"##sta",
",",
"2019",
":",
"https",
":",
"/",
"/",
"www",
".",
"s",
"##tat",
"##ista",
".",
"com",
"/",
"statistics",
"/",
"27",
"##47",
"##7",
"##4",
"/",
"forecast",
"-",
"of",
"-",
"mobile",
"-",
"phone",
"-",
"users",
"-",
"worldwide",
"/",
"2",
"##S",
"##ee",
"\"",
"Process",
"##ing",
"power",
"compared",
"\"",
"by",
"Ex",
"##pert",
"##s",
"Exchange",
",",
"2019",
":",
"https",
":",
"/",
"/",
"pages",
".",
"experts",
"-",
"exchange",
".",
"com",
"/",
"processing",
"-",
"power",
"-",
"compared",
"20",
"2019",
"IEEE",
"21st",
"Conference",
"on",
"Business",
"In",
"##formatics",
"(",
"CB",
"##I",
")",
"978",
"-",
"1",
"-",
"72",
"##8",
"##1",
"-",
"06",
"##50",
"-",
"2",
"/",
"19",
"/",
"$",
"31",
".",
"00",
"Β©",
"2019",
"IEEE",
"##D",
"##O",
"##I",
"10",
".",
"110",
"##9",
"/",
"CB",
"##I",
".",
"2019",
".",
"100",
"##9",
"##2",
"constantly",
"under",
"##used",
"5",
"E",
"##FL",
"##OP",
"##S",
".",
"This",
"power",
"can",
"be",
"used",
"##in",
"the",
"transaction",
"publication",
"and",
"valid",
"##ation",
"processes",
",",
"smart",
"##con",
"##tracts",
",",
"or",
"distributed",
"storage",
"[",
"10",
"]",
".",
"Based",
"on",
"the",
"above",
",",
"almost",
"any",
"modern",
"smart",
"##phone",
"already",
"has",
"the",
"power",
"to",
"be",
"##a",
"part",
"of",
"Pro",
"##of",
"of",
"Act",
"##ivity",
"(",
"Po",
"##A",
")",
"[",
"11",
"]",
"and",
"execute",
"related",
"##c",
"##ry",
"##pt",
"##ographic",
"primitive",
"##s",
"[",
"12",
"]",
".",
"Fi",
"##g",
".",
"1",
".",
"Smart",
"##phones",
"as",
"part",
"of",
"block",
"##cha",
"##in",
"ecosystem",
".",
"However",
",",
"deploy",
"##ing",
"block",
"##cha",
"##in",
"applications",
"to",
"mobile",
"de",
"-",
"vice",
"##s",
"acting",
"as",
"actual",
"miners",
"faces",
"many",
"critical",
"challenges",
".",
"It",
"is",
"mainly",
"due",
"to",
"the",
"mining",
"process",
"habits",
",",
"i",
".",
"e",
".",
",",
"solving",
"the",
"##P",
"##o",
"##W",
"that",
"requires",
"not",
"only",
"computing",
"power",
"but",
"also",
"energy",
"##f",
"##rom",
"the",
"interacting",
"mobile",
"devices",
".",
"To",
"address",
"this",
"challenge",
",",
"the",
"edge",
"computing",
"paradigm",
"was",
"introduced",
"by",
"the",
"research",
"##com",
"##mu",
"##nity",
"for",
"cases",
"of",
"mobile",
"block",
"##cha",
"##in",
"networks",
"[",
"13",
"]",
".",
"However",
",",
"it",
"requires",
"the",
"use",
"of",
"more",
"computational",
"-",
"and",
"##power",
"-",
"independent",
"nodes",
"to",
"take",
"block",
"generation",
"actions",
"##ins",
"##tead",
"of",
"actual",
"smart",
"##phones",
".",
"There",
"are",
",",
"however",
",",
"a",
"n",
"##um",
"-",
"be",
"##r",
"of",
"mine",
"##r",
"implementation",
"##s",
"of",
"block",
"##cha",
"##in",
"applications",
"for",
"##sma",
"##rt",
"##phones",
"but",
"it",
"has",
"been",
"shown",
"that",
"the",
"income",
"of",
"a",
"single",
"##mobile",
"device",
"acting",
"as",
"a",
"mine",
"##r",
"in",
"the",
"block",
"##cha",
"##in",
"network",
"##is",
"nonprofit",
"##able",
"##3",
".",
"Worth",
"noting",
",",
"the",
"use",
"of",
"con",
"##stra",
"##ined",
"devices",
"is",
"generally",
"##und"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 691 |
the designed system is also providedin the paper.
Keywords β blockchain, distributed systems, networks, applica-tions, future perspective
I. INTRODUCTION AND MOTIVATION
The introduction of Bitcoin by Satoshi Nakamoto in 2008had a significant impact on digital society [1]. As a first step,Bitcoin-like cryptocurrencies seemed an extremely innovativealternative financial paradigm. However, underpinning it lies afascinating technological breakthrough: blockchain technology.The applications that could previous | [
9014,
2050,
26155,
6995,
1103,
3510,
7147,
1394,
119,
1109,
5463,
2672,
1548,
4444,
1136,
1103,
1211,
7856,
190,
19621,
2734,
1104,
1142,
1705,
13401,
1186,
1103,
19903,
1105,
1540,
13004,
117,
1133,
1103,
3400,
1377,
2728,
6540,
1112,
5096,
10008,
118,
1104,
118,
1457,
9899,
113,
18959,
1708,
114,
2136,
1103,
1148,
3767,
14467,
1197,
1216,
14255,
16468,
9044,
5197,
190,
19621,
2734,
164,
1489,
166,
119,
3446,
117,
18959,
1708,
15029,
2572,
1136,
2496,
1112,
13418,
1106,
9474,
2703,
8249,
119,
1556,
18959,
1708,
117,
26027,
1132,
1215,
1106,
21295,
14409,
1105,
5511,
14017,
1181,
1113,
1147,
107,
8219,
107,
1107,
1103,
1449,
1105,
1103,
1329,
1104,
1175,
7301,
2149,
2093,
118,
14255,
16468,
9044,
4442,
117,
1111,
1142,
2255,
117,
1110,
170,
2379,
2585,
14467,
1197,
5984,
119,
1109,
1648,
1104,
6866,
16215,
1110,
1106,
2653,
1178,
1103,
13618,
8124,
1279,
1104,
1103,
2443,
1443,
6083,
1107,
4315,
5463,
119,
1109,
1643,
2180,
2822,
5474,
1104,
1217,
2700,
1106,
1321,
1226,
1107,
1103,
1397,
3510,
27054,
6108,
1106,
1103,
4129,
2626,
9113,
1113,
1103,
1295,
1104,
2528,
4935,
1137,
22559,
1116,
1316,
1118,
1103,
7503,
14372,
119,
1109,
1211,
5426,
1121,
6866,
9293,
7281,
3400,
117,
3000,
1107,
164,
1429,
166,
117,
1110,
5750,
18959,
1592,
119,
1109,
5752,
4035,
12959,
170,
1207,
1643,
10595,
13335,
4063,
1111,
170,
5354,
6451,
13335,
2149,
5123,
3457,
3033,
1852,
27400,
2528,
1394,
1118,
17701,
16534,
1103,
18959,
2924,
6552,
1114,
170,
18959,
1708,
2076,
1104,
1449,
119,
18959,
1592,
6315,
2111,
1112,
1167,
5343,
1222,
1227,
185,
19366,
118,
189,
4571,
3690,
1114,
3860,
1822,
190,
19621,
2734,
1104,
1241,
3254,
13601,
118,
11437,
14520,
1116,
1105,
5092,
3979,
119,
1130,
18959,
1592,
117,
5463,
1110,
1932,
124,
1708,
3051,
107,
2181,
8410,
15280,
11644,
5168,
2165,
136,
107,
117,
1118,
18732,
11607,
10954,
15681,
9664,
2162,
117,
1857,
131,
18630,
131,
120,
120,
9584,
8298,
4412,
119,
3254,
120,
1110,
118,
5093,
118,
5463,
118,
16244,
120,
5858,
1107,
170,
2361,
18959,
2924,
4758,
119,
1438,
117,
1103,
24359,
27467,
1674,
1136,
4651,
14409,
117,
178,
119,
174,
119,
117,
1103,
3510,
1110,
2766,
10008,
1103,
23103,
1105,
1103,
22278,
4134,
119,
1258,
1103,
5463,
1643,
2180,
22371,
117,
1103,
1449,
2805,
2607,
1106,
18959,
1708,
5418,
119,
3728,
8419,
2391,
17818,
113,
6866,
16215,
117,
1107,
1412,
1692,
114,
1132,
19729,
2700,
2430,
2951,
113,
23073,
114,
1103,
3599,
6455,
3510,
119,
1258,
2490,
1107,
10681,
1372,
5300,
1103,
3510,
117,
1122,
1110,
1896,
1106,
1103,
3510,
7147,
1394,
119,
1409,
11743,
1104,
1103,
112,
9221,
11664,
112,
1138,
1136,
3360,
1107,
1103,
9221,
1891,
1643,
2180,
22371,
117,
1103,
3510,
1110,
16041,
117,
1105,
1103,
1397,
18959,
2924,
118,
1359,
1141,
1548,
1215,
117,
1105,
1103,
7791,
1110,
4892,
119,
1109,
10703,
1110,
1173,
3325,
16632,
7921,
1424,
2327,
18959,
1708,
9221,
11664,
1105,
18959,
2924,
13418,
119,
1109,
1514,
6436,
1104,
1142,
1250,
1110,
170,
11309,
9555,
14657,
112,
6626,
112,
119,
1135,
3643,
19105,
1126,
9998,
4612,
10008,
18959,
1592,
117,
18959,
1708,
117
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##ere",
"##st",
"##imated",
"concerning",
"the",
"block",
"##cha",
"##in",
".",
"The",
"mining",
"feature",
"##is",
"ultimately",
"not",
"the",
"most",
"efficient",
"u",
"##til",
"##ization",
"of",
"this",
"class",
"duet",
"##o",
"the",
"computational",
"and",
"power",
"limitations",
",",
"but",
"the",
"concept",
"##k",
"##no",
"##wn",
"as",
"Pro",
"##of",
"-",
"of",
"-",
"St",
"##ake",
"(",
"Po",
"##S",
")",
"provided",
"the",
"first",
"opportunity",
"##fo",
"##r",
"such",
"con",
"##stra",
"##ined",
"devices",
"u",
"##til",
"##ization",
"[",
"14",
"]",
".",
"Here",
",",
"Po",
"##S",
"nodes",
"##do",
"not",
"act",
"as",
"miners",
"to",
"solve",
"complex",
"tasks",
".",
"With",
"Po",
"##S",
",",
"stakeholders",
"are",
"used",
"to",
"confirming",
"transactions",
"and",
"blocks",
"##base",
"##d",
"on",
"their",
"\"",
"stake",
"\"",
"in",
"the",
"system",
"and",
"the",
"use",
"of",
"there",
"##so",
"##ur",
"##ce",
"-",
"con",
"##stra",
"##ined",
"device",
",",
"for",
"this",
"reason",
",",
"is",
"a",
"natural",
"step",
"##fo",
"##r",
"##ward",
".",
"The",
"role",
"of",
"smart",
"##phones",
"is",
"to",
"pay",
"only",
"the",
"transaction",
"##fe",
"##es",
"of",
"the",
"network",
"without",
"involvement",
"in",
"actual",
"mining",
".",
"The",
"##p",
"##ro",
"##ba",
"##bility",
"of",
"being",
"selected",
"to",
"take",
"part",
"in",
"the",
"next",
"block",
"##gene",
"##ration",
"to",
"the",
"chain",
"directly",
"depends",
"on",
"the",
"number",
"of",
"##co",
"##ins",
"or",
"token",
"##s",
"held",
"by",
"the",
"relevant",
"node",
".",
"The",
"most",
"interesting",
"from",
"smart",
"##phone",
"perspective",
"concept",
",",
"proposed",
"in",
"[",
"11",
"]",
",",
"is",
"indeed",
"Po",
"##A",
".",
"The",
"authors",
"en",
"##vision",
"a",
"new",
"##p",
"##rot",
"##oc",
"##ol",
"for",
"a",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cy",
"constructed",
"upon",
"Bit",
"##co",
"##in",
"by",
"##comb",
"##ining",
"the",
"Po",
"##W",
"component",
"with",
"a",
"Po",
"##S",
"type",
"of",
"system",
".",
"Po",
"##A",
"recommended",
"itself",
"as",
"more",
"secure",
"against",
"known",
"p",
"##rac",
"-",
"t",
"##ical",
"attacks",
"with",
"relatively",
"low",
"u",
"##til",
"##ization",
"of",
"both",
"com",
"##mu",
"-",
"ni",
"##cation",
"##s",
"and",
"storage",
"resources",
".",
"In",
"Po",
"##A",
",",
"mining",
"is",
"usually",
"3",
"##S",
"##ee",
"\"",
"Is",
"Mobile",
"Mining",
"Prof",
"##ita",
"##ble",
"?",
"\"",
",",
"by",
"CO",
"##IN",
"##CE",
"##NT",
"##RA",
"##L",
",",
"2018",
":",
"https",
":",
"/",
"/",
"coin",
"##cent",
"##ral",
".",
"com",
"/",
"is",
"-",
"mobile",
"-",
"mining",
"-",
"profitable",
"/",
"executed",
"in",
"a",
"traditional",
"Po",
"##W",
"manner",
".",
"However",
",",
"the",
"mined",
"##block",
"does",
"not",
"contain",
"transactions",
",",
"i",
".",
"e",
".",
",",
"the",
"block",
"is",
"composed",
"##of",
"the",
"header",
"and",
"the",
"rewards",
"address",
".",
"After",
"the",
"mining",
"##p",
"##ro",
"##cess",
",",
"the",
"system",
"operation",
"changes",
"to",
"Po",
"##S",
"mode",
".",
"Several",
"##sta",
"##ke",
"##holders",
"(",
"smart",
"##phones",
",",
"in",
"our",
"case",
")",
"are",
"randomly",
"selected",
"##to",
"sign",
"(",
"verify",
")",
"the",
"newly",
"generated",
"block",
".",
"After",
"everyone",
"in",
"##the",
"group",
"signs",
"the",
"block",
",",
"it",
"is",
"added",
"to",
"the",
"block",
"##cha",
"##in",
".",
"If",
"##some",
"of",
"the",
"'",
"valid",
"##ators",
"'",
"have",
"not",
"participated",
"in",
"the",
"valid",
"##ation",
"##p",
"##ro",
"##cess",
",",
"the",
"block",
"is",
"discarded",
",",
"and",
"the",
"next",
"Po",
"##W",
"-",
"based",
"one",
"##is",
"used",
",",
"and",
"the",
"procedure",
"is",
"repeated",
".",
"The",
"reward",
"is",
"then",
"split",
"##bet",
"##we",
"##en",
"active",
"Po",
"##S",
"valid",
"##ators",
"and",
"Po",
"##W",
"miners",
".",
"The",
"main",
"contribution",
"of",
"this",
"work",
"is",
"a",
"protocol",
"suite",
"##titled",
"'",
"Trinity",
"'",
".",
"It",
"allows",
"utilizing",
"an",
"intelligent",
"combination",
"##of",
"Po",
"##A",
",",
"Po",
"##S",
","
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 692 |
the designed system is also providedin the paper.
Keywords β blockchain, distributed systems, networks, applica-tions, future perspective
I. INTRODUCTION AND MOTIVATION
The introduction of Bitcoin by Satoshi Nakamoto in 2008had a significant impact on digital society [1]. As a first step,Bitcoin-like cryptocurrencies seemed an extremely innovativealternative financial paradigm. However, underpinning it lies afascinating technological breakthrough: blockchain technology.The applications that could previous | [
9014,
2050,
26155,
6995,
1103,
3510,
7147,
1394,
119,
1109,
5463,
2672,
1548,
4444,
1136,
1103,
1211,
7856,
190,
19621,
2734,
1104,
1142,
1705,
13401,
1186,
1103,
19903,
1105,
1540,
13004,
117,
1133,
1103,
3400,
1377,
2728,
6540,
1112,
5096,
10008,
118,
1104,
118,
1457,
9899,
113,
18959,
1708,
114,
2136,
1103,
1148,
3767,
14467,
1197,
1216,
14255,
16468,
9044,
5197,
190,
19621,
2734,
164,
1489,
166,
119,
3446,
117,
18959,
1708,
15029,
2572,
1136,
2496,
1112,
13418,
1106,
9474,
2703,
8249,
119,
1556,
18959,
1708,
117,
26027,
1132,
1215,
1106,
21295,
14409,
1105,
5511,
14017,
1181,
1113,
1147,
107,
8219,
107,
1107,
1103,
1449,
1105,
1103,
1329,
1104,
1175,
7301,
2149,
2093,
118,
14255,
16468,
9044,
4442,
117,
1111,
1142,
2255,
117,
1110,
170,
2379,
2585,
14467,
1197,
5984,
119,
1109,
1648,
1104,
6866,
16215,
1110,
1106,
2653,
1178,
1103,
13618,
8124,
1279,
1104,
1103,
2443,
1443,
6083,
1107,
4315,
5463,
119,
1109,
1643,
2180,
2822,
5474,
1104,
1217,
2700,
1106,
1321,
1226,
1107,
1103,
1397,
3510,
27054,
6108,
1106,
1103,
4129,
2626,
9113,
1113,
1103,
1295,
1104,
2528,
4935,
1137,
22559,
1116,
1316,
1118,
1103,
7503,
14372,
119,
1109,
1211,
5426,
1121,
6866,
9293,
7281,
3400,
117,
3000,
1107,
164,
1429,
166,
117,
1110,
5750,
18959,
1592,
119,
1109,
5752,
4035,
12959,
170,
1207,
1643,
10595,
13335,
4063,
1111,
170,
5354,
6451,
13335,
2149,
5123,
3457,
3033,
1852,
27400,
2528,
1394,
1118,
17701,
16534,
1103,
18959,
2924,
6552,
1114,
170,
18959,
1708,
2076,
1104,
1449,
119,
18959,
1592,
6315,
2111,
1112,
1167,
5343,
1222,
1227,
185,
19366,
118,
189,
4571,
3690,
1114,
3860,
1822,
190,
19621,
2734,
1104,
1241,
3254,
13601,
118,
11437,
14520,
1116,
1105,
5092,
3979,
119,
1130,
18959,
1592,
117,
5463,
1110,
1932,
124,
1708,
3051,
107,
2181,
8410,
15280,
11644,
5168,
2165,
136,
107,
117,
1118,
18732,
11607,
10954,
15681,
9664,
2162,
117,
1857,
131,
18630,
131,
120,
120,
9584,
8298,
4412,
119,
3254,
120,
1110,
118,
5093,
118,
5463,
118,
16244,
120,
5858,
1107,
170,
2361,
18959,
2924,
4758,
119,
1438,
117,
1103,
24359,
27467,
1674,
1136,
4651,
14409,
117,
178,
119,
174,
119,
117,
1103,
3510,
1110,
2766,
10008,
1103,
23103,
1105,
1103,
22278,
4134,
119,
1258,
1103,
5463,
1643,
2180,
22371,
117,
1103,
1449,
2805,
2607,
1106,
18959,
1708,
5418,
119,
3728,
8419,
2391,
17818,
113,
6866,
16215,
117,
1107,
1412,
1692,
114,
1132,
19729,
2700,
2430,
2951,
113,
23073,
114,
1103,
3599,
6455,
3510,
119,
1258,
2490,
1107,
10681,
1372,
5300,
1103,
3510,
117,
1122,
1110,
1896,
1106,
1103,
3510,
7147,
1394,
119,
1409,
11743,
1104,
1103,
112,
9221,
11664,
112,
1138,
1136,
3360,
1107,
1103,
9221,
1891,
1643,
2180,
22371,
117,
1103,
3510,
1110,
16041,
117,
1105,
1103,
1397,
18959,
2924,
118,
1359,
1141,
1548,
1215,
117,
1105,
1103,
7791,
1110,
4892,
119,
1109,
10703,
1110,
1173,
3325,
16632,
7921,
1424,
2327,
18959,
1708,
9221,
11664,
1105,
18959,
2924,
13418,
119,
1109,
1514,
6436,
1104,
1142,
1250,
1110,
170,
11309,
9555,
14657,
112,
6626,
112,
119,
1135,
3643,
19105,
1126,
9998,
4612,
10008,
18959,
1592,
117,
18959,
1708,
117
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##ere",
"##st",
"##imated",
"concerning",
"the",
"block",
"##cha",
"##in",
".",
"The",
"mining",
"feature",
"##is",
"ultimately",
"not",
"the",
"most",
"efficient",
"u",
"##til",
"##ization",
"of",
"this",
"class",
"duet",
"##o",
"the",
"computational",
"and",
"power",
"limitations",
",",
"but",
"the",
"concept",
"##k",
"##no",
"##wn",
"as",
"Pro",
"##of",
"-",
"of",
"-",
"St",
"##ake",
"(",
"Po",
"##S",
")",
"provided",
"the",
"first",
"opportunity",
"##fo",
"##r",
"such",
"con",
"##stra",
"##ined",
"devices",
"u",
"##til",
"##ization",
"[",
"14",
"]",
".",
"Here",
",",
"Po",
"##S",
"nodes",
"##do",
"not",
"act",
"as",
"miners",
"to",
"solve",
"complex",
"tasks",
".",
"With",
"Po",
"##S",
",",
"stakeholders",
"are",
"used",
"to",
"confirming",
"transactions",
"and",
"blocks",
"##base",
"##d",
"on",
"their",
"\"",
"stake",
"\"",
"in",
"the",
"system",
"and",
"the",
"use",
"of",
"there",
"##so",
"##ur",
"##ce",
"-",
"con",
"##stra",
"##ined",
"device",
",",
"for",
"this",
"reason",
",",
"is",
"a",
"natural",
"step",
"##fo",
"##r",
"##ward",
".",
"The",
"role",
"of",
"smart",
"##phones",
"is",
"to",
"pay",
"only",
"the",
"transaction",
"##fe",
"##es",
"of",
"the",
"network",
"without",
"involvement",
"in",
"actual",
"mining",
".",
"The",
"##p",
"##ro",
"##ba",
"##bility",
"of",
"being",
"selected",
"to",
"take",
"part",
"in",
"the",
"next",
"block",
"##gene",
"##ration",
"to",
"the",
"chain",
"directly",
"depends",
"on",
"the",
"number",
"of",
"##co",
"##ins",
"or",
"token",
"##s",
"held",
"by",
"the",
"relevant",
"node",
".",
"The",
"most",
"interesting",
"from",
"smart",
"##phone",
"perspective",
"concept",
",",
"proposed",
"in",
"[",
"11",
"]",
",",
"is",
"indeed",
"Po",
"##A",
".",
"The",
"authors",
"en",
"##vision",
"a",
"new",
"##p",
"##rot",
"##oc",
"##ol",
"for",
"a",
"cry",
"##pt",
"##oc",
"##ur",
"##ren",
"##cy",
"constructed",
"upon",
"Bit",
"##co",
"##in",
"by",
"##comb",
"##ining",
"the",
"Po",
"##W",
"component",
"with",
"a",
"Po",
"##S",
"type",
"of",
"system",
".",
"Po",
"##A",
"recommended",
"itself",
"as",
"more",
"secure",
"against",
"known",
"p",
"##rac",
"-",
"t",
"##ical",
"attacks",
"with",
"relatively",
"low",
"u",
"##til",
"##ization",
"of",
"both",
"com",
"##mu",
"-",
"ni",
"##cation",
"##s",
"and",
"storage",
"resources",
".",
"In",
"Po",
"##A",
",",
"mining",
"is",
"usually",
"3",
"##S",
"##ee",
"\"",
"Is",
"Mobile",
"Mining",
"Prof",
"##ita",
"##ble",
"?",
"\"",
",",
"by",
"CO",
"##IN",
"##CE",
"##NT",
"##RA",
"##L",
",",
"2018",
":",
"https",
":",
"/",
"/",
"coin",
"##cent",
"##ral",
".",
"com",
"/",
"is",
"-",
"mobile",
"-",
"mining",
"-",
"profitable",
"/",
"executed",
"in",
"a",
"traditional",
"Po",
"##W",
"manner",
".",
"However",
",",
"the",
"mined",
"##block",
"does",
"not",
"contain",
"transactions",
",",
"i",
".",
"e",
".",
",",
"the",
"block",
"is",
"composed",
"##of",
"the",
"header",
"and",
"the",
"rewards",
"address",
".",
"After",
"the",
"mining",
"##p",
"##ro",
"##cess",
",",
"the",
"system",
"operation",
"changes",
"to",
"Po",
"##S",
"mode",
".",
"Several",
"##sta",
"##ke",
"##holders",
"(",
"smart",
"##phones",
",",
"in",
"our",
"case",
")",
"are",
"randomly",
"selected",
"##to",
"sign",
"(",
"verify",
")",
"the",
"newly",
"generated",
"block",
".",
"After",
"everyone",
"in",
"##the",
"group",
"signs",
"the",
"block",
",",
"it",
"is",
"added",
"to",
"the",
"block",
"##cha",
"##in",
".",
"If",
"##some",
"of",
"the",
"'",
"valid",
"##ators",
"'",
"have",
"not",
"participated",
"in",
"the",
"valid",
"##ation",
"##p",
"##ro",
"##cess",
",",
"the",
"block",
"is",
"discarded",
",",
"and",
"the",
"next",
"Po",
"##W",
"-",
"based",
"one",
"##is",
"used",
",",
"and",
"the",
"procedure",
"is",
"repeated",
".",
"The",
"reward",
"is",
"then",
"split",
"##bet",
"##we",
"##en",
"active",
"Po",
"##S",
"valid",
"##ators",
"and",
"Po",
"##W",
"miners",
".",
"The",
"main",
"contribution",
"of",
"this",
"work",
"is",
"a",
"protocol",
"suite",
"##titled",
"'",
"Trinity",
"'",
".",
"It",
"allows",
"utilizing",
"an",
"intelligent",
"combination",
"##of",
"Po",
"##A",
",",
"Po",
"##S",
","
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 693 |
ly work only throughtrusted centralized entities can now operate without any con-stant connection to the authority while maintaining the samesecurity and improving the overall system functionality [2].This distinguishing feature has extended the implementationof blockchain beyond conventional cryptocurrency area [3].
The main idea behind blockchain itself lies in the conceptof trust [4]. This idea is based on the fact that partiesinteracting in the system do not necessarily know or trust eachother but sti | [
1105,
18959,
2924,
14485,
1120,
1103,
6083,
1104,
5093,
2007,
14301,
1116,
1111,
3510,
7147,
1394,
2805,
119,
1109,
10311,
8550,
11031,
1107,
6626,
1132,
1112,
3226,
119,
1109,
1148,
1141,
1110,
10999,
118,
1359,
1665,
1616,
6451,
9543,
2786,
3000,
1107,
164,
1405,
166,
1219,
1103,
1551,
1165,
27467,
7147,
1394,
2111,
1108,
1814,
1106,
1103,
1844,
1661,
112,
2068,
5208,
2116,
119,
1258,
1406,
1201,
117,
1103,
1148,
13192,
1104,
1142,
5564,
24144,
1282,
1107,
1250,
164,
1479,
166,
1118,
140,
119,
3291,
8770,
3084,
2393,
119,
1220,
3000,
1126,
18122,
1233,
3136,
1113,
11621,
1103,
1470,
2501,
1104,
1103,
7668,
14467,
1197,
1103,
1878,
3802,
6580,
16846,
2710,
7443,
2349,
24475,
6579,
113,
153,
2428,
2349,
114,
1105,
3527,
10999,
1116,
1104,
1103,
6635,
119,
1438,
117,
1175,
1110,
170,
1295,
1104,
7806,
2272,
1106,
153,
2428,
2349,
190,
19621,
2734,
131,
113,
178,
114,
153,
2428,
2349,
1169,
2951,
1105,
1260,
1665,
1616,
6451,
1155,
1103,
7416,
132,
113,
25550,
114,
2501,
1874,
20202,
1110,
1136,
7042,
132,
113,
25550,
1182,
114,
2914,
3094,
1110,
2320,
14467,
1197,
1103,
2501,
4267,
11553,
9204,
132,
1105,
113,
178,
1964,
114,
26463,
1105,
1260,
1665,
1616,
18225,
3263,
18546,
16762,
1132,
19903,
1193,
1472,
119,
2082,
1104,
1343,
1180,
3962,
26410,
25342,
1181,
1118,
19105,
156,
2522,
3161,
7013,
156,
16234,
2118,
164,
1542,
166,
3525,
14467,
1197,
1103,
3318,
2501,
4267,
11553,
9204,
1105,
10442,
1359,
1113,
1320,
1193,
170,
3849,
1104,
2331,
4901,
6117,
119,
1109,
1832,
1104,
1103,
2526,
1110,
3366,
1112,
3226,
119,
6177,
1563,
1643,
12316,
8959,
1103,
1514,
12130,
1116,
1105,
9417,
1116,
1215,
1106,
9417,
10681,
6626,
119,
5893,
117,
6177,
2684,
2790,
170,
6448,
6136,
10008,
1103,
1872,
5354,
6451,
9597,
19755,
119,
6177,
159,
2790,
1161,
25220,
2099,
10540,
1104,
1103,
1872,
188,
6834,
118,
21359,
1306,
119,
1109,
1314,
2237,
15382,
1103,
2526,
1105,
6802,
2174,
4894,
19386,
1732,
7768,
119,
1563,
119,
9960,
11607,
156,
3663,
9272,
15577,
18732,
12347,
11414,
11680,
11365,
1188,
2237,
2790,
170,
4094,
24431,
1104,
1103,
1514,
1449,
8178,
25387,
1215,
1219,
6626,
1718,
119,
1706,
1838,
1114,
117,
1103,
27467,
3707,
1965,
3471,
1165,
1175,
1132,
1536,
15498,
4487,
2316,
22946,
1106,
1838,
3919,
5521,
6647,
170,
3510,
119,
9954,
1193,
6185,
9467,
17482,
16470,
5759,
1104,
1296,
13618,
117,
13418,
4959,
1157,
2860,
5275,
1162,
1449,
1105,
5194,
1122,
1154,
170,
7671,
3510,
119,
14393,
16268,
118,
2060,
5511,
1169,
1129,
1687,
1106,
2519,
1103,
5867,
8513,
1107,
2420,
3365,
2805,
1229,
1936,
117,
1105,
1112,
1103,
6829,
1113,
1103,
2443,
1394,
13782,
23105,
117,
1103,
3510,
2060,
7096,
119,
1130,
5607,
1187,
12686,
6906,
2993,
170,
3510,
2060,
2610,
1190,
125,
19443,
117,
1103,
1449,
1145,
6385,
8661,
12148,
1116,
12459,
1251,
1295,
1104,
5511,
113,
17599,
27467,
1116,
114,
1154,
1161,
23639,
2180,
27467,
117,
8267,
3525,
1103,
5092,
1104,
1415,
6357,
10008,
2233,
1113,
1103,
3510,
7147,
1394,
119,
27400,
2528,
1394,
118,
151,
2349,
11309,
1110,
2700,
1106,
4282,
23639,
2180,
27467,
1116,
164,
1407,
166
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
2,
2,
5,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0
] | [
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
2,
2,
2,
2,
2,
5,
0,
0,
0,
5,
6,
6,
6,
6,
0,
0,
0
] | [
"and",
"Po",
"##W",
"aiming",
"at",
"the",
"involvement",
"of",
"mobile",
"##de",
"##vice",
"##s",
"for",
"block",
"##cha",
"##in",
"operation",
".",
"The",
"underlying",
"concepts",
"##used",
"in",
"Trinity",
"are",
"as",
"follows",
".",
"The",
"first",
"one",
"is",
"ID",
"-",
"based",
"##c",
"##ry",
"##pt",
"##ography",
"initially",
"proposed",
"in",
"[",
"15",
"]",
"during",
"the",
"times",
"when",
"##block",
"##cha",
"##in",
"itself",
"was",
"brought",
"to",
"the",
"research",
"community",
"'",
"sat",
"##ten",
"##tion",
".",
"After",
"20",
"years",
",",
"the",
"first",
"realization",
"of",
"this",
"strategy",
"##took",
"place",
"in",
"work",
"[",
"16",
"]",
"by",
"C",
".",
"Co",
"##cks",
"et",
"al",
".",
"They",
"proposed",
"an",
"##ove",
"##l",
"approach",
"on",
"obtaining",
"the",
"public",
"key",
"of",
"the",
"recipient",
"##fo",
"##r",
"the",
"signed",
"message",
"transmission",
"employing",
"Public",
"Key",
"##G",
"##ener",
"##ator",
"(",
"P",
"##K",
"##G",
")",
"and",
"unique",
"ID",
"##s",
"of",
"the",
"participants",
".",
"However",
",",
"there",
"is",
"a",
"number",
"of",
"challenges",
"related",
"to",
"P",
"##K",
"##G",
"u",
"##til",
"##ization",
":",
"(",
"i",
")",
"P",
"##K",
"##G",
"can",
"sign",
"and",
"de",
"##c",
"##ry",
"##pt",
"all",
"the",
"messages",
";",
"(",
"ii",
")",
"key",
"##re",
"##voking",
"is",
"not",
"implemented",
";",
"(",
"ii",
"##i",
")",
"safe",
"channel",
"is",
"required",
"##fo",
"##r",
"the",
"key",
"di",
"##sse",
"##mination",
";",
"and",
"(",
"i",
"##v",
")",
"encryption",
"and",
"de",
"##c",
"##ry",
"##ption",
"##me",
"##chan",
"##isms",
"are",
"computational",
"##ly",
"different",
".",
"Most",
"of",
"those",
"could",
"##be",
"mit",
"##igate",
"##d",
"by",
"utilizing",
"S",
"##ham",
"##ir",
"Secret",
"S",
"##hari",
"##ng",
"[",
"17",
"]",
"allowing",
"##fo",
"##r",
"the",
"secret",
"key",
"di",
"##sse",
"##mination",
"and",
"reconstruction",
"based",
"on",
"##on",
"##ly",
"a",
"portion",
"of",
"previously",
"distributed",
"shares",
".",
"The",
"rest",
"of",
"the",
"paper",
"is",
"organized",
"as",
"follows",
".",
"Section",
"II",
"##p",
"##rov",
"##ides",
"the",
"main",
"primitive",
"##s",
"and",
"construct",
"##s",
"used",
"to",
"construct",
"##the",
"Trinity",
".",
"Next",
",",
"Section",
"III",
"provides",
"a",
"detailed",
"description",
"##of",
"the",
"developed",
"cry",
"##pt",
"##ographic",
"protocols",
".",
"Section",
"V",
"provides",
"##a",
"quantitative",
"performance",
"evaluation",
"of",
"the",
"developed",
"s",
"##ys",
"-",
"te",
"##m",
".",
"The",
"last",
"section",
"concludes",
"the",
"paper",
"and",
"lists",
"future",
"##res",
"##ear",
"##ch",
"directions",
".",
"II",
".",
"MA",
"##IN",
"S",
"##Y",
"##ST",
"##EM",
"CO",
"##MP",
"##ON",
"##EN",
"##TS",
"This",
"section",
"provides",
"a",
"brief",
"overview",
"of",
"the",
"main",
"system",
"##com",
"##ponents",
"used",
"during",
"Trinity",
"development",
".",
"To",
"start",
"with",
",",
"the",
"##block",
"creation",
"process",
"begins",
"when",
"there",
"are",
"enough",
"pending",
"##tra",
"##ns",
"##actions",
"to",
"start",
"ass",
"##em",
"##bling",
"a",
"block",
".",
"Ana",
"##ly",
"##zing",
"specified",
"##par",
"##ame",
"##ters",
"of",
"each",
"transaction",
",",
"miners",
"determine",
"its",
"value",
"forth",
"##e",
"system",
"and",
"add",
"it",
"into",
"a",
"corresponding",
"block",
".",
"Mini",
"##mum",
"-",
"size",
"blocks",
"can",
"be",
"created",
"to",
"reach",
"the",
"minimum",
"delay",
"in",
"speed",
"##per",
"operation",
"while",
"possible",
",",
"and",
"as",
"the",
"load",
"on",
"the",
"network",
"##in",
"##cre",
"##ases",
",",
"the",
"block",
"size",
"grows",
".",
"In",
"circumstances",
"where",
"au",
"##ser",
"needs",
"a",
"block",
"size",
"larger",
"than",
"4",
"MB",
",",
"the",
"system",
"also",
"##su",
"##pp",
"##ort",
"##s",
"combining",
"any",
"number",
"of",
"blocks",
"(",
"micro",
"##block",
"##s",
")",
"into",
"##a",
"mac",
"##ro",
"##block",
",",
"thereby",
"allowing",
"the",
"storage",
"of",
"large",
"volumes",
"##of",
"data",
"on",
"the",
"block",
"##cha",
"##in",
".",
"Bit",
"##co",
"##in",
"-",
"N",
"##G",
"protocol",
"is",
"selected",
"to",
"handle",
"mac",
"##ro",
"##block",
"##s",
"[",
"18",
"]"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 694 |
ll have an opportunity to transact securely. Theuse of blockchain eliminates the need for the involvement andcontinuous maintenance by the centralized 'trusted' authority,thus, enabling the network to operate in a distributed manner.True to its name, the records of transactions between nodesin a blockchain network are organized in a data structure
known as "blocks". A series of blocks are arranged in a strictlyincreasing-time order by a linked-list like data style knownas the chain of blocks, i.e., "block | [
1106,
4851,
1103,
1523,
7232,
1206,
1103,
3707,
1104,
5511,
1177,
1115,
17269,
17599,
27467,
1656,
170,
23639,
2180,
27467,
1110,
1687,
1107,
1842,
1159,
5709,
9807,
14409,
1106,
1103,
3510,
7147,
1394,
2411,
1852,
1147,
1813,
2047,
7501,
119,
1573,
117,
1175,
1110,
1185,
1444,
1106,
3074,
1235,
1126,
2072,
23639,
2180,
27467,
1548,
2063,
117,
1157,
1144,
1324,
1110,
1276,
117,
1105,
1122,
1110,
188,
27250,
1174,
1206,
1155,
1626,
15029,
1113,
1103,
2443,
782,
1353,
17599,
27467,
1116,
1169,
1129,
6455,
7235,
21754,
1193,
1656,
1122,
119,
1109,
1514,
2255,
1481,
1103,
190,
19621,
2734,
10008,
1142,
11309,
2887,
1107,
1157,
5417,
1106,
2773,
1103,
5463,
20080,
11394,
1107,
1103,
1449,
117,
178,
119,
174,
119,
117,
1106,
2773,
1103,
1295,
1104,
5511,
26038,
1181,
1118,
1103,
1449,
1439,
2700,
1159,
4207,
119,
1109,
14703,
7807,
15595,
5310,
1303,
1110,
1103,
3735,
1159,
1104,
1103,
3599,
26038,
1181,
3510,
1206,
1155,
1103,
15029,
1107,
1103,
1449,
119,
1130,
1692,
10681,
3964,
1159,
1110,
2964,
117,
1103,
9750,
1104,
13097,
1158,
1107,
1204,
12821,
6531,
4886,
1104,
1103,
2443,
1336,
14368,
15194,
1193,
119,
15974,
138,
3457,
1665,
8031,
144,
14543,
1324,
113,
141,
22689,
114,
164,
1627,
166,
3643,
1103,
1901,
1104,
1207,
27467,
1116,
1107,
1472,
2443,
9038,
8130,
1103,
13097,
1158,
119,
1109,
2273,
1104,
141,
22689,
1110,
1106,
1260,
2083,
25685,
5668,
2716,
3876,
22081,
1162,
1103,
180,
118,
5511,
1111,
1103,
21340,
1197,
1231,
7867,
21608,
2116,
1359,
1113,
1103,
1378,
1383,
10008,
5420,
131,
794,
144,
14543,
1324,
2058,
1105,
10873,
2647,
8826,
1132,
2007,
12559,
15680,
1713,
1158,
1103,
10923,
1206,
1103,
15029,
117,
178,
119,
174,
119,
117,
1175,
1110,
170,
1444,
1111,
13682,
1103,
10298,
1295,
10008,
15029,
1106,
11865,
1103,
17782,
1104,
1954,
2344,
10237,
1120,
1251,
1159,
1104,
7581,
132,
794,
1203,
180,
118,
3510,
1110,
9221,
2913,
113,
1896,
1106,
10923,
114,
1219,
1161,
2747,
1159,
4207,
132,
794,
1203,
180,
118,
3510,
1431,
1129,
13137,
1107,
1103,
4129,
2452,
2430,
1157,
5550,
1159,
132,
794,
24930,
14669,
1104,
170,
1207,
180,
118,
3510,
1431,
1136,
4752,
1103,
4487,
10704,
1348,
1104,
1103,
2072,
10873,
132,
794,
3261,
118,
1159,
13097,
1116,
1431,
1129,
9226,
119,
138,
119,
5096,
13541,
190,
19621,
2734,
1104,
141,
22689,
1752,
117,
1103,
10873,
2647,
7791,
1110,
3393,
117,
2547,
1439,
12986,
1158,
1103,
141,
22689,
119,
5893,
117,
1103,
27328,
4175,
118,
1359,
1499,
7542,
1546,
1348,
18791,
7088,
1306,
1110,
3666,
1106,
1103,
10873,
1112,
1118,
1122,
21126,
9305,
1104,
10681,
15029,
1105,
27580,
1103,
16959,
1104,
1142,
1965,
117,
1267,
164,
1627,
166,
119,
1284,
11192,
15447,
1115,
1175,
5903,
1103,
1260,
2083,
25685,
5668,
9932,
3525,
2430,
20446,
1103,
7262,
1111,
1296,
180,
118,
3510,
1219,
1103,
10873,
4487,
10704,
1348,
119,
4516,
117,
1451,
1207,
180,
118,
3510,
1110,
1737,
9221,
1191,
1157,
112,
1144,
1324,
1110,
4463,
1106,
1157,
112,
7262,
119,
1284,
1145,
7568,
1103,
1260,
2083,
25685,
5668,
1348,
18791,
7088,
1306,
3525,
1106,
20446,
1103,
2860,
3392,
12477,
1775,
1219,
10681
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
23,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"to",
"reduce",
"the",
"late",
"##ncy",
"between",
"the",
"creation",
"of",
"blocks",
"so",
"that",
"##each",
"micro",
"##block",
"inside",
"a",
"mac",
"##ro",
"##block",
"is",
"created",
"in",
"real",
"time",
"##and",
"adds",
"transactions",
"to",
"the",
"block",
"##cha",
"##in",
"immediately",
"upon",
"their",
"##ar",
"##ri",
"##val",
".",
"So",
",",
"there",
"is",
"no",
"need",
"to",
"wait",
"until",
"an",
"entire",
"mac",
"##ro",
"##block",
"##is",
"completed",
",",
"its",
"has",
"##h",
"is",
"found",
",",
"and",
"it",
"is",
"s",
"##ync",
"##ed",
"between",
"all",
"21",
"nodes",
"on",
"the",
"network",
"β",
"small",
"micro",
"##block",
"##s",
"can",
"be",
"generated",
"##con",
"##current",
"##ly",
"inside",
"it",
".",
"The",
"main",
"reason",
"behind",
"the",
"u",
"##til",
"##ization",
"##of",
"this",
"protocol",
"lies",
"in",
"its",
"possibility",
"to",
"increase",
"the",
"mining",
"##sp",
"##eed",
"in",
"the",
"system",
",",
"i",
".",
"e",
".",
",",
"to",
"increase",
"the",
"number",
"of",
"blocks",
"##generate",
"##d",
"by",
"the",
"system",
"within",
"selected",
"time",
"frame",
".",
"The",
"##fu",
"##nda",
"##mental",
"limit",
"here",
"is",
"the",
"distribution",
"time",
"of",
"the",
"newly",
"##generate",
"##d",
"block",
"between",
"all",
"the",
"nodes",
"in",
"the",
"system",
".",
"In",
"case",
"##the",
"generation",
"time",
"is",
"smaller",
",",
"the",
"probability",
"of",
"fork",
"##ing",
"in",
"##t",
"##wo",
"distant",
"sections",
"of",
"the",
"network",
"may",
"arise",
"tremendous",
"##ly",
".",
"Direct",
"A",
"##cy",
"##c",
"##lic",
"G",
"##rap",
"##h",
"(",
"D",
"##AG",
")",
"[",
"19",
"]",
"allows",
"the",
"addition",
"of",
"new",
"##block",
"##s",
"in",
"different",
"network",
"segments",
"handling",
"the",
"fork",
"##ing",
".",
"The",
"goal",
"of",
"D",
"##AG",
"is",
"to",
"de",
"##ter",
"##mini",
"##stic",
"##ally",
"rear",
"##rang",
"##e",
"the",
"k",
"-",
"blocks",
"for",
"the",
"ledge",
"##r",
"re",
"##cal",
"##cula",
"##tion",
"based",
"on",
"the",
"following",
"set",
"##of",
"requirements",
":",
"β’",
"G",
"##rap",
"##h",
"construction",
"and",
"graph",
"walk",
"procedures",
"are",
"##de",
"##vel",
"##oped",
"mind",
"##ing",
"the",
"consensus",
"between",
"the",
"nodes",
",",
"i",
".",
"e",
".",
",",
"there",
"is",
"a",
"need",
"for",
"defining",
"the",
"minimal",
"number",
"##of",
"nodes",
"to",
"guarantee",
"the",
"validity",
"of",
"current",
"systems",
"##tate",
"at",
"any",
"time",
"of",
"execution",
";",
"β’",
"New",
"k",
"-",
"block",
"is",
"valid",
"##ated",
"(",
"added",
"to",
"consensus",
")",
"during",
"##a",
"specific",
"time",
"frame",
";",
"β’",
"New",
"k",
"-",
"block",
"should",
"be",
"inserted",
"in",
"the",
"chain",
"according",
"##to",
"its",
"publishing",
"time",
";",
"β’",
"Ad",
"##dition",
"of",
"a",
"new",
"k",
"-",
"block",
"should",
"not",
"require",
"the",
"##tra",
"##vers",
"##al",
"of",
"the",
"entire",
"graph",
";",
"β’",
"Long",
"-",
"time",
"fork",
"##s",
"should",
"be",
"avoided",
".",
"A",
".",
"Pro",
"##posed",
"u",
"##til",
"##ization",
"of",
"D",
"##AG",
"First",
",",
"the",
"graph",
"walk",
"procedure",
"is",
"defined",
",",
"starting",
"within",
"##vert",
"##ing",
"the",
"D",
"##AG",
".",
"Next",
",",
"the",
"Que",
"##ue",
"-",
"based",
"top",
"##ological",
"order",
"##al",
"##gor",
"##ith",
"##m",
"is",
"applied",
"to",
"the",
"graph",
"as",
"by",
"it",
"##erative",
"removing",
"of",
"##the",
"nodes",
"and",
"storing",
"the",
"logs",
"of",
"this",
"process",
",",
"see",
"[",
"19",
"]",
".",
"We",
"##ass",
"##ume",
"that",
"there",
"exists",
"the",
"de",
"##ter",
"##mini",
"##stic",
"algorithm",
"allowing",
"##to",
"calculate",
"the",
"difficulty",
"for",
"each",
"k",
"-",
"block",
"during",
"the",
"graph",
"##tra",
"##vers",
"##al",
".",
"Thus",
",",
"every",
"new",
"k",
"-",
"block",
"is",
"considered",
"valid",
"if",
"its",
"'",
"has",
"##h",
"is",
"equal",
"to",
"its",
"'",
"difficulty",
".",
"We",
"also",
"assume",
"the",
"de",
"##ter",
"##mini",
"##stic",
"##al",
"##gor",
"##ith",
"##m",
"allowing",
"to",
"calculate",
"the",
"value",
"branch",
"ma",
"##x",
"during",
"##the"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 695 |
chain". The blockchain ismaintained as appending only local replicas of itself by thenodes participating in the replicated consensus process. Due tothe blockchain property of immutability, it can be abstracted asa transactional system that enables a consensus to form withinits participants [5]. The consensus holds unique probabilisticproperties and can thus be leveraged as a fundamental buildingblock for adaptive middleware that offers both deterministicand probabilistic consensus.
Most of the blockchain | [
10873,
189,
22116,
24129,
1233,
1359,
1113,
1103,
180,
118,
3510,
1295,
117,
9304,
14480,
113,
121,
133,
3392,
133,
3392,
22871,
114,
119,
2994,
180,
118,
3510,
188,
1144,
1160,
6743,
1499,
1874,
18854,
1105,
1397,
180,
118,
5511,
189,
1475,
1105,
189,
1477,
1216,
1115,
189,
1475,
119,
3392,
134,
134,
188,
119,
3392,
1105,
189,
1475,
119,
3392,
106,
134,
188,
119,
3392,
2693,
1103,
1692,
1165,
6766,
11273,
22871,
134,
122,
119,
1203,
180,
118,
3510,
3964,
7791,
1110,
1758,
1112,
3226,
119,
1752,
180,
118,
3510,
1144,
3392,
134,
121,
117,
1295,
134,
121,
119,
1135,
1110,
9221,
1191,
131,
122,
114,
196,
1295,
117,
3392,
198,
3111,
1110,
3527,
132,
123,
114,
180,
118,
3510,
1144,
6743,
1106,
189,
1475,
1105,
189,
1477,
117,
189,
1475,
119,
3392,
134,
134,
188,
119,
3392,
117,
189,
1475,
119,
3392,
106,
134,
188,
119,
3392,
117,
188,
119,
1295,
135,
189,
1475,
119,
1295,
119,
1130,
1692,
1175,
1132,
1167,
1190,
1141,
188,
117,
1103,
4798,
1114,
2299,
189,
1477,
119,
1295,
1209,
1129,
3134,
132,
124,
114,
180,
118,
3510,
112,
188,
1144,
1324,
1110,
4463,
1106,
7262,
119,
139,
119,
18657,
2895,
2805,
1109,
1378,
11934,
1132,
1737,
1219,
1103,
21340,
23433,
1233,
21608,
2116,
131,
180,
118,
3510,
5463,
132,
170,
10703,
1111,
17599,
27467,
10086,
118,
16664,
132,
1105,
13618,
7216,
119,
1109,
22278,
1132,
9652,
1105,
1359,
1320,
1103,
3510,
7147,
1394,
2805,
1607,
119,
1109,
14409,
1656,
1103,
17599,
27467,
1132,
7905,
1107,
170,
21805,
9245,
119,
6589,
117,
1155,
180,
118,
5511,
117,
17599,
27467,
1116,
117,
1105,
14409,
1180,
1145,
1129,
4768,
1111,
1251,
11392,
2349,
2060,
119,
1249,
170,
1871,
117,
1103,
2072,
1607,
1104,
1958,
1180,
1129,
24984,
1193,
14408,
117,
2456,
3525,
1106,
20446,
1103,
2231,
1104,
1103,
7409,
2528,
8355,
5233,
119,
1335,
1103,
2150,
1104,
1103,
7581,
117,
1103,
21340,
1197,
1110,
3427,
119,
1507,
1103,
3510,
10703,
1158,
1965,
117,
1103,
5233,
1104,
1103,
3685,
7409,
2528,
8355,
1209,
1129,
2014,
117,
1137,
170,
1207,
1647,
1209,
1129,
1276,
119,
1109,
19596,
1116,
1104,
15029,
1132,
8054,
1219,
1103,
14409,
17472,
119,
1109,
13618,
1110,
5165,
1112,
22475,
1191,
1175,
1110,
1185,
1869,
20230,
1103,
3300,
1107,
1103,
21340,
1197,
1137,
1122,
1144,
1136,
1536,
7674,
1107,
10681,
17364,
119,
1130,
7501,
2386,
14409,
1132,
16041,
119,
140,
119,
11336,
5984,
1158,
1105,
12120,
3101,
1596,
7067,
1183,
142,
2050,
21517,
17129,
27989,
1279,
1109,
12890,
21517,
1104,
1103,
10703,
1110,
1359,
1113,
1103,
1260,
2083,
25685,
5668,
1348,
18791,
7088,
1306,
1111,
1296,
1449,
1352,
1359,
1113,
1607,
1105,
1103,
21754,
3510,
119,
1109,
12890,
21517,
1104,
22278,
9113,
1113,
20021,
11234,
7660,
1105,
1954,
17744,
3735,
119,
7245,
117,
1103,
10396,
14970,
1116,
1132,
1112,
3226,
131,
18959,
2924,
782,
1275,
110,
132,
18959,
1708,
782,
1512,
110,
132,
1105,
18959,
1592,
782,
2625,
110,
1104,
1103,
17744,
119,
1109,
17744,
3735,
5233,
1110,
1161,
9652,
1449,
2400,
1105,
1180,
1129,
1215,
1112,
170,
6806,
1106,
9084,
25342,
12477,
8031
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"graph",
"t",
"##rave",
"##rsa",
"##l",
"based",
"on",
"the",
"k",
"-",
"block",
"number",
",",
"br",
"##unch",
"(",
"0",
"<",
"branch",
"<",
"branch",
"##max",
")",
".",
"Each",
"k",
"-",
"block",
"s",
"has",
"two",
"links",
"top",
"##re",
"##vious",
"and",
"next",
"k",
"-",
"blocks",
"t",
"##1",
"and",
"t",
"##2",
"such",
"that",
"t",
"##1",
".",
"branch",
"=",
"=",
"s",
".",
"branch",
"and",
"t",
"##1",
".",
"branch",
"!",
"=",
"s",
".",
"branch",
"despite",
"the",
"case",
"when",
"##bra",
"##nch",
"##max",
"=",
"1",
".",
"New",
"k",
"-",
"block",
"generation",
"procedure",
"is",
"described",
"as",
"follows",
".",
"First",
"k",
"-",
"block",
"has",
"branch",
"=",
"0",
",",
"number",
"=",
"0",
".",
"It",
"is",
"valid",
"if",
":",
"1",
")",
"{",
"number",
",",
"branch",
"}",
"pair",
"is",
"unique",
";",
"2",
")",
"k",
"-",
"block",
"has",
"links",
"to",
"t",
"##1",
"and",
"t",
"##2",
",",
"t",
"##1",
".",
"branch",
"=",
"=",
"s",
".",
"branch",
",",
"t",
"##1",
".",
"branch",
"!",
"=",
"s",
".",
"branch",
",",
"s",
".",
"number",
">",
"t",
"##1",
".",
"number",
".",
"In",
"case",
"there",
"are",
"more",
"than",
"one",
"s",
",",
"the",
"##one",
"with",
"higher",
"t",
"##2",
".",
"number",
"will",
"be",
"accepted",
";",
"3",
")",
"k",
"-",
"block",
"'",
"s",
"has",
"##h",
"is",
"equal",
"to",
"difficulty",
".",
"B",
".",
"Led",
"##ger",
"operation",
"The",
"following",
"parameters",
"are",
"considered",
"during",
"the",
"ledge",
"##rca",
"##l",
"##cula",
"##tion",
":",
"k",
"-",
"block",
"mining",
";",
"a",
"reward",
"for",
"micro",
"##block",
"publish",
"-",
"ing",
";",
"and",
"transaction",
"fee",
".",
"The",
"rewards",
"are",
"dynamic",
"and",
"based",
"##on",
"the",
"block",
"##cha",
"##in",
"operation",
"history",
".",
"The",
"transactions",
"inside",
"the",
"micro",
"##block",
"are",
"stored",
"in",
"a",
"sorted",
"array",
".",
"Therefore",
",",
"all",
"k",
"-",
"blocks",
",",
"micro",
"##block",
"##s",
",",
"and",
"transactions",
"could",
"also",
"be",
"arranged",
"for",
"any",
"##DA",
"##G",
"size",
".",
"As",
"a",
"result",
",",
"the",
"entire",
"history",
"of",
"events",
"could",
"be",
"##linear",
"##ly",
"retrieved",
",",
"thus",
"allowing",
"to",
"calculate",
"the",
"states",
"of",
"the",
"##ac",
"##co",
"##unt",
"balance",
".",
"At",
"the",
"beginning",
"of",
"the",
"execution",
",",
"the",
"ledge",
"##r",
"is",
"empty",
".",
"During",
"the",
"block",
"reward",
"##ing",
"process",
",",
"the",
"balance",
"of",
"the",
"existing",
"##ac",
"##co",
"##unt",
"will",
"be",
"changed",
",",
"or",
"a",
"new",
"record",
"will",
"be",
"found",
".",
"The",
"##state",
"##s",
"of",
"nodes",
"are",
"updated",
"during",
"the",
"transactions",
"accordingly",
".",
"The",
"transaction",
"is",
"treated",
"as",
"invalid",
"if",
"there",
"is",
"no",
"information",
"##about",
"the",
"account",
"in",
"the",
"ledge",
"##r",
"or",
"it",
"has",
"not",
"enough",
"coins",
"in",
"##the",
"wallet",
".",
"In",
"##val",
"##id",
"transactions",
"are",
"discarded",
".",
"C",
".",
"Re",
"##ward",
"##ing",
"and",
"Di",
"##ff",
"##ic",
"##ult",
"##y",
"E",
"##st",
"##imation",
"Pol",
"##ici",
"##es",
"The",
"est",
"##imation",
"of",
"the",
"reward",
"is",
"based",
"on",
"the",
"de",
"##ter",
"##mini",
"##stic",
"##al",
"##gor",
"##ith",
"##m",
"for",
"each",
"system",
"state",
"based",
"on",
"history",
"and",
"the",
"##current",
"block",
".",
"The",
"est",
"##imation",
"of",
"rewards",
"depends",
"on",
"thee",
"##mission",
"curve",
"and",
"current",
"emission",
"distribution",
".",
"Initially",
",",
"the",
"##dis",
"##tribution",
"##s",
"are",
"as",
"follows",
":",
"Po",
"##W",
"β",
"10",
"%",
";",
"Po",
"##S",
"β",
"25",
"%",
";",
"and",
"Po",
"##A",
"β",
"65",
"%",
"of",
"the",
"emission",
".",
"The",
"emission",
"distribution",
"balance",
"is",
"##a",
"dynamic",
"system",
"property",
"and",
"could",
"be",
"used",
"as",
"a",
"tool",
"to",
"##mit",
"##igate",
"ma",
"##lic"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 696 |
operation is based on a speciallydesigned devices β miners, i.e., nodes attempting to solve thecomputational puzzles, in other words, to reach the Proof-of-Work (PoW) [6] for new block creating, and profit from themonetary compensation associated with it. Briefly speaking,a block contains' nonces' that a miner must set in such away that the hash of the entire block is smaller than a knowntarget, which is typically a very small number. The difficulty ofmining should be adjusted dynamically throughout the l | [
4179,
3246,
1206,
1472,
15029,
1359,
1113,
1112,
27934,
2716,
2700,
17744,
7660,
119,
15559,
117,
1103,
4718,
1104,
11899,
13584,
1132,
3555,
1107,
1216,
170,
1236,
1115,
1122,
1110,
1107,
11708,
3537,
9080,
1106,
10607,
18959,
1592,
9712,
19410,
1116,
1113,
1103,
8172,
6736,
1111,
18959,
2924,
1137,
18959,
1708,
119,
14593,
1116,
1138,
2011,
170,
10703,
1105,
7262,
15799,
6834,
18408,
117,
151,
8816,
1186,
117,
1359,
1113,
1103,
1231,
21754,
18250,
2443,
119,
151,
8816,
17237,
1116,
3009,
3510,
7147,
1394,
2233,
1106,
17163,
1103,
2320,
22278,
5709,
7866,
1111,
1296,
1207,
5120,
119,
1249,
1770,
1112,
170,
5120,
1110,
8178,
7136,
1906,
117,
1103,
9161,
1104,
1115,
5120,
1132,
1215,
1106,
4607,
10681,
2443,
112,
188,
1397,
23770,
119,
1706,
1294,
1292,
23770,
117,
1195,
1918,
2391,
1329,
1104,
170,
8516,
1113,
170,
2076,
1104,
18250,
2443,
1115,
1144,
1161,
14930,
1263,
118,
1858,
2962,
131,
170,
1231,
21754,
18250,
2443,
119,
3144,
4638,
1664,
118,
1231,
21754,
18250,
2443,
117,
1296,
1977,
5120,
3816,
22922,
170,
4044,
1352,
117,
1105,
16993,
1138,
4718,
1115,
24077,
1178,
2087,
16071,
13025,
6984,
1106,
16993,
1107,
1103,
2166,
8798,
113,
1137,
1394,
16156,
1116,
114,
119,
138,
1231,
21754,
18250,
2443,
1110,
170,
2443,
1187,
1175,
24661,
1204,
1104,
170,
24928,
22497,
14915,
117,
1103,
1352,
117,
13974,
1103,
1397,
1977,
19964,
1104,
1103,
2443,
119,
141,
119,
6626,
10923,
1109,
1378,
4841,
25461,
4856,
1103,
8234,
1206,
2728,
4704,
1219,
1103,
3510,
7147,
1394,
2058,
119,
1109,
1449,
1110,
1359,
1113,
1210,
3322,
1104,
4713,
131,
113,
178,
114,
9474,
1197,
113,
18959,
2924,
114,
132,
113,
25550,
114,
10266,
113,
18959,
1708,
114,
132,
1105,
113,
25550,
1182,
114,
6654,
113,
18959,
1592,
114,
119,
7330,
1104,
1343,
1180,
1321,
1103,
1648,
1104,
1330,
117,
1134,
1110,
19226,
19907,
1181,
1118,
5354,
6451,
9597,
1105,
4301,
4069,
119,
1109,
14467,
24834,
1158,
4856,
1293,
1103,
3510,
7147,
1394,
2805,
1110,
3233,
2665,
1343,
15029,
119,
5322,
117,
3839,
1104,
1103,
3322,
1169,
1532,
1103,
27467,
7147,
1394,
8942,
119,
18959,
2924,
9474,
1197,
1110,
2784,
1111,
1103,
3964,
1104,
1207,
180,
118,
5511,
119,
1109,
1514,
5420,
1111,
1142,
2076,
1104,
15029,
1132,
113,
178,
114,
10682,
2469,
1106,
1103,
4639,
132,
113,
25550,
114,
5092,
113,
2320,
1106,
2984,
10681,
3510,
7147,
1394,
2401,
114,
132,
1105,
113,
25550,
1182,
114,
19903,
1540,
1111,
21230,
2118,
119,
1109,
9474,
1197,
1110,
1231,
10182,
1733,
13517,
23172,
1664,
7723,
1111,
1207,
1377,
118,
3510,
3964,
2452,
1106,
1103,
1383,
1104,
3073,
2007,
24191,
1181,
2995,
782,
7262,
117,
15817,
1295,
117,
1144,
1324,
6743,
17782,
119,
2994,
180,
118,
3510,
1110,
10396,
19091,
24595,
1194,
1103,
2443,
1107,
170,
3012,
1236,
1170,
1157,
1659,
3964,
119,
2994,
14372,
1110,
9444,
1157,
17782,
1359,
1113,
6889,
12223,
4359,
2233,
1105,
5194,
1122,
1106,
1469,
3510,
7147,
1394,
5092,
1191,
9221,
119,
15268,
1193,
1227,
11896,
1968,
12610,
11309,
164,
122,
166,
1110,
1215,
1111,
1103,
27467,
7147,
1394,
2058,
119,
1109,
9474,
1197,
112,
188,
1514,
6457
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
10,
10,
10,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
23,
24,
0,
23,
24,
24,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##ious",
"activity",
"between",
"different",
"nodes",
"based",
"on",
"as",
"##pecific",
"##ally",
"selected",
"emission",
"curve",
".",
"Generally",
",",
"the",
"values",
"of",
"##rew",
"##ards",
"are",
"estimated",
"in",
"such",
"a",
"way",
"that",
"it",
"is",
"in",
"##ex",
"##ped",
"##ient",
"to",
"##run",
"Po",
"##A",
"em",
"##ulator",
"##s",
"on",
"the",
"hardware",
"suitable",
"for",
"Po",
"##W",
"or",
"Po",
"##S",
".",
"Author",
"##s",
"have",
"designed",
"a",
"reward",
"and",
"difficulty",
"assignments",
"##ys",
"##tem",
",",
"N",
"##eur",
"##o",
",",
"based",
"on",
"the",
"re",
"##current",
"neural",
"network",
".",
"N",
"##eur",
"##ouse",
"##s",
"historical",
"block",
"##cha",
"##in",
"data",
"to",
"predict",
"the",
"required",
"rewards",
"##and",
"difficulties",
"for",
"each",
"new",
"cycle",
".",
"As",
"soon",
"as",
"a",
"cycle",
"is",
"##com",
"##ple",
"##ted",
",",
"the",
"statistics",
"of",
"that",
"cycle",
"are",
"used",
"to",
"improve",
"##the",
"network",
"'",
"s",
"next",
"predictions",
".",
"To",
"make",
"these",
"predictions",
",",
"we",
"##ma",
"##ke",
"use",
"of",
"a",
"variation",
"on",
"a",
"type",
"of",
"neural",
"network",
"that",
"has",
"##a",
"selective",
"long",
"-",
"term",
"memory",
":",
"a",
"re",
"##current",
"neural",
"network",
".",
"Fort",
"##he",
"non",
"-",
"re",
"##current",
"neural",
"network",
",",
"each",
"forward",
"cycle",
"starts",
"##with",
"a",
"clean",
"state",
",",
"and",
"neurons",
"have",
"values",
"that",
"originate",
"only",
"##f",
"##rom",
"weighed",
"connections",
"to",
"neurons",
"in",
"the",
"previous",
"layers",
"(",
"or",
"##in",
"##put",
"##s",
")",
".",
"A",
"re",
"##current",
"neural",
"network",
"is",
"a",
"network",
"where",
"there",
"##sul",
"##t",
"of",
"a",
"ne",
"##uron",
"activation",
",",
"the",
"state",
",",
"affects",
"the",
"next",
"forward",
"##cycle",
"of",
"the",
"network",
".",
"D",
".",
"Trinity",
"consensus",
"The",
"following",
"sub",
"##section",
"describes",
"the",
"interaction",
"between",
"##no",
"##des",
"during",
"the",
"block",
"##cha",
"##in",
"construction",
".",
"The",
"system",
"is",
"based",
"on",
"three",
"types",
"of",
"users",
":",
"(",
"i",
")",
"solve",
"##r",
"(",
"Po",
"##W",
")",
";",
"(",
"ii",
")",
"holder",
"(",
"Po",
"##S",
")",
";",
"and",
"(",
"ii",
"##i",
")",
"publisher",
"(",
"Po",
"##A",
")",
".",
"None",
"of",
"those",
"could",
"take",
"the",
"role",
"of",
"another",
",",
"which",
"is",
"##achi",
"##eve",
"##d",
"by",
"cry",
"##pt",
"##ographic",
"and",
"technical",
"methods",
".",
"The",
"##fo",
"##llow",
"##ing",
"describes",
"how",
"the",
"block",
"##cha",
"##in",
"operation",
"is",
"divided",
"##by",
"those",
"nodes",
".",
"Note",
",",
"none",
"of",
"the",
"types",
"can",
"form",
"the",
"##block",
"##cha",
"##in",
"independently",
".",
"Po",
"##W",
"solve",
"##r",
"is",
"responsible",
"for",
"the",
"generation",
"of",
"new",
"k",
"-",
"blocks",
".",
"The",
"main",
"requirements",
"for",
"this",
"type",
"of",
"nodes",
"are",
"(",
"i",
")",
"reliable",
"access",
"to",
"the",
"Internet",
";",
"(",
"ii",
")",
"storage",
"(",
"required",
"to",
"store",
"##the",
"block",
"##cha",
"##in",
"structure",
")",
";",
"and",
"(",
"ii",
"##i",
")",
"computational",
"power",
"for",
"##hashi",
"##ng",
".",
"The",
"solve",
"##r",
"is",
"re",
"##cu",
"##rs",
"##ively",
"calculating",
"non",
"##ces",
"for",
"new",
"##k",
"-",
"block",
"generation",
"according",
"to",
"the",
"set",
"of",
"pre",
"##de",
"##fine",
"##d",
"rules",
"β",
"difficulty",
",",
"batch",
"number",
",",
"has",
"##h",
"links",
"validity",
".",
"Each",
"k",
"-",
"block",
"is",
"##dis",
"##tri",
"##buted",
"through",
"the",
"network",
"in",
"a",
"broadcast",
"way",
"after",
"its",
"22",
"generation",
".",
"Each",
"node",
"is",
"checking",
"its",
"validity",
"based",
"on",
"locally",
"##sto",
"##red",
"data",
"and",
"add",
"it",
"to",
"local",
"block",
"##cha",
"##in",
"storage",
"if",
"valid",
".",
"Wide",
"##ly",
"known",
"Na",
"##ka",
"##moto",
"protocol",
"[",
"1",
"]",
"is",
"used",
"for",
"the",
"##block",
"##cha",
"##in",
"construction",
".",
"The",
"solve",
"##r",
"'",
"s",
"main",
"aim"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 697 |
operation is based on a speciallydesigned devices β miners, i.e., nodes attempting to solve thecomputational puzzles, in other words, to reach the Proof-of-Work (PoW) [6] for new block creating, and profit from themonetary compensation associated with it. Briefly speaking,a block contains' nonces' that a miner must set in such away that the hash of the entire block is smaller than a knowntarget, which is typically a very small number. The difficulty ofmining should be adjusted dynamically throughout the l | [
4179,
3246,
1206,
1472,
15029,
1359,
1113,
1112,
27934,
2716,
2700,
17744,
7660,
119,
15559,
117,
1103,
4718,
1104,
11899,
13584,
1132,
3555,
1107,
1216,
170,
1236,
1115,
1122,
1110,
1107,
11708,
3537,
9080,
1106,
10607,
18959,
1592,
9712,
19410,
1116,
1113,
1103,
8172,
6736,
1111,
18959,
2924,
1137,
18959,
1708,
119,
14593,
1116,
1138,
2011,
170,
10703,
1105,
7262,
15799,
6834,
18408,
117,
151,
8816,
1186,
117,
1359,
1113,
1103,
1231,
21754,
18250,
2443,
119,
151,
8816,
17237,
1116,
3009,
3510,
7147,
1394,
2233,
1106,
17163,
1103,
2320,
22278,
5709,
7866,
1111,
1296,
1207,
5120,
119,
1249,
1770,
1112,
170,
5120,
1110,
8178,
7136,
1906,
117,
1103,
9161,
1104,
1115,
5120,
1132,
1215,
1106,
4607,
10681,
2443,
112,
188,
1397,
23770,
119,
1706,
1294,
1292,
23770,
117,
1195,
1918,
2391,
1329,
1104,
170,
8516,
1113,
170,
2076,
1104,
18250,
2443,
1115,
1144,
1161,
14930,
1263,
118,
1858,
2962,
131,
170,
1231,
21754,
18250,
2443,
119,
3144,
4638,
1664,
118,
1231,
21754,
18250,
2443,
117,
1296,
1977,
5120,
3816,
22922,
170,
4044,
1352,
117,
1105,
16993,
1138,
4718,
1115,
24077,
1178,
2087,
16071,
13025,
6984,
1106,
16993,
1107,
1103,
2166,
8798,
113,
1137,
1394,
16156,
1116,
114,
119,
138,
1231,
21754,
18250,
2443,
1110,
170,
2443,
1187,
1175,
24661,
1204,
1104,
170,
24928,
22497,
14915,
117,
1103,
1352,
117,
13974,
1103,
1397,
1977,
19964,
1104,
1103,
2443,
119,
141,
119,
6626,
10923,
1109,
1378,
4841,
25461,
4856,
1103,
8234,
1206,
2728,
4704,
1219,
1103,
3510,
7147,
1394,
2058,
119,
1109,
1449,
1110,
1359,
1113,
1210,
3322,
1104,
4713,
131,
113,
178,
114,
9474,
1197,
113,
18959,
2924,
114,
132,
113,
25550,
114,
10266,
113,
18959,
1708,
114,
132,
1105,
113,
25550,
1182,
114,
6654,
113,
18959,
1592,
114,
119,
7330,
1104,
1343,
1180,
1321,
1103,
1648,
1104,
1330,
117,
1134,
1110,
19226,
19907,
1181,
1118,
5354,
6451,
9597,
1105,
4301,
4069,
119,
1109,
14467,
24834,
1158,
4856,
1293,
1103,
3510,
7147,
1394,
2805,
1110,
3233,
2665,
1343,
15029,
119,
5322,
117,
3839,
1104,
1103,
3322,
1169,
1532,
1103,
27467,
7147,
1394,
8942,
119,
18959,
2924,
9474,
1197,
1110,
2784,
1111,
1103,
3964,
1104,
1207,
180,
118,
5511,
119,
1109,
1514,
5420,
1111,
1142,
2076,
1104,
15029,
1132,
113,
178,
114,
10682,
2469,
1106,
1103,
4639,
132,
113,
25550,
114,
5092,
113,
2320,
1106,
2984,
10681,
3510,
7147,
1394,
2401,
114,
132,
1105,
113,
25550,
1182,
114,
19903,
1540,
1111,
21230,
2118,
119,
1109,
9474,
1197,
1110,
1231,
10182,
1733,
13517,
23172,
1664,
7723,
1111,
1207,
1377,
118,
3510,
3964,
2452,
1106,
1103,
1383,
1104,
3073,
2007,
24191,
1181,
2995,
782,
7262,
117,
15817,
1295,
117,
1144,
1324,
6743,
17782,
119,
2994,
180,
118,
3510,
1110,
10396,
19091,
24595,
1194,
1103,
2443,
1107,
170,
3012,
1236,
1170,
1157,
1659,
3964,
119,
2994,
14372,
1110,
9444,
1157,
17782,
1359,
1113,
6889,
12223,
4359,
2233,
1105,
5194,
1122,
1106,
1469,
3510,
7147,
1394,
5092,
1191,
9221,
119,
15268,
1193,
1227,
11896,
1968,
12610,
11309,
164,
122,
166,
1110,
1215,
1111,
1103,
27467,
7147,
1394,
2058,
119,
1109,
9474,
1197,
112,
188,
1514,
6457
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"##ious",
"activity",
"between",
"different",
"nodes",
"based",
"on",
"as",
"##pecific",
"##ally",
"selected",
"emission",
"curve",
".",
"Generally",
",",
"the",
"values",
"of",
"##rew",
"##ards",
"are",
"estimated",
"in",
"such",
"a",
"way",
"that",
"it",
"is",
"in",
"##ex",
"##ped",
"##ient",
"to",
"##run",
"Po",
"##A",
"em",
"##ulator",
"##s",
"on",
"the",
"hardware",
"suitable",
"for",
"Po",
"##W",
"or",
"Po",
"##S",
".",
"Author",
"##s",
"have",
"designed",
"a",
"reward",
"and",
"difficulty",
"assignments",
"##ys",
"##tem",
",",
"N",
"##eur",
"##o",
",",
"based",
"on",
"the",
"re",
"##current",
"neural",
"network",
".",
"N",
"##eur",
"##ouse",
"##s",
"historical",
"block",
"##cha",
"##in",
"data",
"to",
"predict",
"the",
"required",
"rewards",
"##and",
"difficulties",
"for",
"each",
"new",
"cycle",
".",
"As",
"soon",
"as",
"a",
"cycle",
"is",
"##com",
"##ple",
"##ted",
",",
"the",
"statistics",
"of",
"that",
"cycle",
"are",
"used",
"to",
"improve",
"##the",
"network",
"'",
"s",
"next",
"predictions",
".",
"To",
"make",
"these",
"predictions",
",",
"we",
"##ma",
"##ke",
"use",
"of",
"a",
"variation",
"on",
"a",
"type",
"of",
"neural",
"network",
"that",
"has",
"##a",
"selective",
"long",
"-",
"term",
"memory",
":",
"a",
"re",
"##current",
"neural",
"network",
".",
"Fort",
"##he",
"non",
"-",
"re",
"##current",
"neural",
"network",
",",
"each",
"forward",
"cycle",
"starts",
"##with",
"a",
"clean",
"state",
",",
"and",
"neurons",
"have",
"values",
"that",
"originate",
"only",
"##f",
"##rom",
"weighed",
"connections",
"to",
"neurons",
"in",
"the",
"previous",
"layers",
"(",
"or",
"##in",
"##put",
"##s",
")",
".",
"A",
"re",
"##current",
"neural",
"network",
"is",
"a",
"network",
"where",
"there",
"##sul",
"##t",
"of",
"a",
"ne",
"##uron",
"activation",
",",
"the",
"state",
",",
"affects",
"the",
"next",
"forward",
"##cycle",
"of",
"the",
"network",
".",
"D",
".",
"Trinity",
"consensus",
"The",
"following",
"sub",
"##section",
"describes",
"the",
"interaction",
"between",
"##no",
"##des",
"during",
"the",
"block",
"##cha",
"##in",
"construction",
".",
"The",
"system",
"is",
"based",
"on",
"three",
"types",
"of",
"users",
":",
"(",
"i",
")",
"solve",
"##r",
"(",
"Po",
"##W",
")",
";",
"(",
"ii",
")",
"holder",
"(",
"Po",
"##S",
")",
";",
"and",
"(",
"ii",
"##i",
")",
"publisher",
"(",
"Po",
"##A",
")",
".",
"None",
"of",
"those",
"could",
"take",
"the",
"role",
"of",
"another",
",",
"which",
"is",
"##achi",
"##eve",
"##d",
"by",
"cry",
"##pt",
"##ographic",
"and",
"technical",
"methods",
".",
"The",
"##fo",
"##llow",
"##ing",
"describes",
"how",
"the",
"block",
"##cha",
"##in",
"operation",
"is",
"divided",
"##by",
"those",
"nodes",
".",
"Note",
",",
"none",
"of",
"the",
"types",
"can",
"form",
"the",
"##block",
"##cha",
"##in",
"independently",
".",
"Po",
"##W",
"solve",
"##r",
"is",
"responsible",
"for",
"the",
"generation",
"of",
"new",
"k",
"-",
"blocks",
".",
"The",
"main",
"requirements",
"for",
"this",
"type",
"of",
"nodes",
"are",
"(",
"i",
")",
"reliable",
"access",
"to",
"the",
"Internet",
";",
"(",
"ii",
")",
"storage",
"(",
"required",
"to",
"store",
"##the",
"block",
"##cha",
"##in",
"structure",
")",
";",
"and",
"(",
"ii",
"##i",
")",
"computational",
"power",
"for",
"##hashi",
"##ng",
".",
"The",
"solve",
"##r",
"is",
"re",
"##cu",
"##rs",
"##ively",
"calculating",
"non",
"##ces",
"for",
"new",
"##k",
"-",
"block",
"generation",
"according",
"to",
"the",
"set",
"of",
"pre",
"##de",
"##fine",
"##d",
"rules",
"β",
"difficulty",
",",
"batch",
"number",
",",
"has",
"##h",
"links",
"validity",
".",
"Each",
"k",
"-",
"block",
"is",
"##dis",
"##tri",
"##buted",
"through",
"the",
"network",
"in",
"a",
"broadcast",
"way",
"after",
"its",
"22",
"generation",
".",
"Each",
"node",
"is",
"checking",
"its",
"validity",
"based",
"on",
"locally",
"##sto",
"##red",
"data",
"and",
"add",
"it",
"to",
"local",
"block",
"##cha",
"##in",
"storage",
"if",
"valid",
".",
"Wide",
"##ly",
"known",
"Na",
"##ka",
"##moto",
"protocol",
"[",
"1",
"]",
"is",
"used",
"for",
"the",
"##block",
"##cha",
"##in",
"construction",
".",
"The",
"solve",
"##r",
"'",
"s",
"main",
"aim"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 698 |
ifetimeof the system [7].
The possibility to customize and style along with tech-nological enhancements towards small-scale electronics andmodern applications make handheld and wearable devices astrong contender in the Internet of Things (IoT) technologicalrace [8]. Almost one billion wearable devices are expected tojoin the IoT family by 2021 [9]. Said fascinating developmentis a driving force behind the convergence of the physical anddigital worlds that promises to create an unprecedented IoTmarket of 1 | [
1110,
1106,
9509,
10681,
3510,
1105,
6268,
1103,
3694,
2574,
1111,
1103,
19903,
11708,
11741,
8830,
119,
1109,
180,
118,
3510,
2515,
1157,
9474,
1197,
112,
188,
1470,
2501,
119,
1636,
18465,
1988,
1104,
1103,
1144,
8840,
3053,
1674,
1136,
6975,
1103,
2905,
5821,
13894,
1306,
2805,
2626,
119,
13653,
1193,
117,
1195,
17573,
17730,
1592,
118,
18440,
1111,
3365,
13199,
3923,
10540,
117,
1133,
1142,
3026,
1110,
18107,
1290,
3702,
2692,
1179,
15278,
9741,
1116,
1169,
3253,
20446,
1122,
119,
1109,
18959,
1708,
10266,
1110,
170,
14372,
2355,
170,
2418,
2971,
10008,
7674,
119,
1109,
14372,
1169,
5424,
1103,
11768,
1106,
1561,
18257,
11015,
1200,
119,
7443,
17447,
3048,
2428,
1110,
170,
3416,
2501,
4901,
1206,
170,
1383,
10008,
14322,
1359,
1113,
1103,
2001,
14867,
12377,
9455,
23043,
1891,
7893,
164,
1406,
166,
119,
1109,
7671,
153,
2428,
3048,
2428,
1110,
1227,
1106,
1251,
14372,
119,
1109,
6408,
2728,
2007,
1110,
2784,
1111,
17447,
3048,
2428,
3964,
117,
1105,
170,
1372,
1104,
17818,
2769,
170,
7219,
7443,
9066,
11412,
113,
153,
2428,
2349,
114,
119,
10860,
1468,
1132,
25923,
26789,
1103,
11309,
1758,
1394,
4841,
25461,
2684,
118,
138,
1106,
23073,
1150,
1144,
1103,
1268,
1106,
17114,
10681,
4128,
6631,
1219,
1142,
1449,
2805,
1352,
119,
1109,
19248,
4894,
5674,
17038,
1159,
14235,
1110,
1383,
1106,
1620,
180,
118,
5511,
1107,
1103,
5053,
13601,
6840,
3750,
119,
1109,
16425,
18959,
1708,
113,
6400,
1186,
1708,
114,
4557,
4894,
7067,
1110,
1173,
7905,
1112,
188,
19756,
5562,
5511,
1105,
1336,
1129,
22480,
1118,
18266,
14372,
119,
5893,
117,
1155,
18959,
1708,
1116,
1132,
12713,
1103,
4128,
3318,
2501,
14467,
1197,
6400,
1186,
1708,
1170,
1103,
180,
118,
3510,
1231,
19091,
17885,
119,
1109,
4128,
1470,
9144,
1110,
10056,
1359,
1113,
1103,
180,
118,
3510,
10999,
113,
1144,
1324,
7584,
114,
1105,
20009,
1186,
1708,
10999,
119,
1109,
3318,
2501,
1105,
1103,
7671,
6117,
1132,
7867,
24029,
1181,
1359,
1113,
1103,
11309,
1758,
1107,
4841,
25461,
2684,
118,
139,
119,
1109,
9533,
7581,
2686,
1132,
7905,
1107,
1103,
12182,
3510,
5709,
1180,
1129,
22480,
1224,
1113,
119,
1109,
10266,
3370,
170,
10703,
1111,
17482,
2941,
9717,
1891,
1107,
1103,
6612,
1105,
153,
2428,
2349,
118,
2272,
8826,
119,
18959,
1592,
13599,
1132,
2017,
1107,
1103,
17599,
27467,
10086,
118,
16664,
1965,
119,
138,
7453,
1104,
15965,
18959,
1592,
13599,
1431,
26038,
1296,
17599,
27467,
119,
1130,
1546,
1106,
13139,
170,
1207,
180,
118,
3510,
117,
170,
1372,
1104,
18959,
1592,
21241,
1103,
17599,
27467,
21586,
113,
9245,
1104,
4487,
2316,
22946,
114,
1105,
22453,
1122,
1106,
1103,
6400,
1186,
1708,
119,
1258,
1103,
6400,
1186,
1708,
4121,
9387,
1296,
17599,
27467,
117,
1122,
8165,
1103,
8250,
1118,
1606,
1103,
21754,
4128,
3318,
2501,
119,
6589,
117,
1103,
17599,
27467,
2233,
3962,
19191,
1116,
9221,
2913,
1118,
18959,
1592,
14372,
1105,
6400,
1186,
1708,
14372,
1107,
1103,
1449,
117,
1105,
1147,
6251,
1336,
1129,
22480,
1224,
119,
1109,
18959,
1592,
22278,
8836,
1359,
1113,
6251,
1107,
1103,
1396,
12231,
7791,
119,
1109,
6408,
1110,
1141,
1104,
1103,
18959,
1708,
14322,
1104,
1103
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
17,
18,
18,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
17,
18,
18,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
21,
22,
22,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
6,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
"is",
"to",
"generate",
"##the",
"block",
"and",
"obtain",
"the",
"resulting",
"award",
"for",
"the",
"computational",
"##ex",
"##pen",
"##ses",
".",
"The",
"k",
"-",
"block",
"contains",
"its",
"solve",
"##r",
"'",
"s",
"public",
"key",
".",
"These",
"##lect",
"##ion",
"of",
"the",
"has",
"##hing",
"function",
"does",
"not",
"affect",
"the",
"overall",
"##sy",
"##ste",
"##m",
"operation",
"directly",
".",
"Present",
"##ly",
",",
"we",
"utilize",
"SH",
"##A",
"-",
"256",
"for",
"##per",
"##form",
"##ance",
"evaluation",
",",
"but",
"this",
"choice",
"is",
"temporal",
"since",
"##mo",
"##der",
"##n",
"AS",
"##IC",
"##s",
"can",
"easily",
"calculate",
"it",
".",
"The",
"Po",
"##S",
"holder",
"is",
"a",
"node",
"holding",
"a",
"significant",
"amount",
"##of",
"coins",
".",
"The",
"node",
"can",
"prove",
"the",
"eligibility",
"to",
"become",
"ah",
"##old",
"##er",
".",
"Key",
"SK",
"##H",
"##K",
"is",
"a",
"shared",
"key",
"distributed",
"between",
"a",
"set",
"##of",
"holders",
"based",
"on",
"the",
"La",
"##gra",
"##nge",
"inter",
"##pol",
"##ation",
"formula",
"[",
"20",
"]",
".",
"The",
"corresponding",
"P",
"##K",
"##H",
"##K",
"is",
"known",
"to",
"any",
"node",
".",
"The",
"resident",
"##no",
"##de",
"is",
"responsible",
"for",
"SK",
"##H",
"##K",
"generation",
",",
"and",
"a",
"group",
"of",
"##holders",
"forms",
"a",
"Private",
"Key",
"Gene",
"##rator",
"(",
"P",
"##K",
"##G",
")",
".",
"Hold",
"##ers",
"are",
"systematically",
"executing",
"the",
"protocol",
"described",
"##in",
"sub",
"##section",
"III",
"-",
"A",
"to",
"verify",
"who",
"has",
"the",
"right",
"to",
"distribute",
"##the",
"publication",
"keys",
"during",
"this",
"system",
"operation",
"state",
".",
"The",
"##cor",
"##res",
"##po",
"##nding",
"time",
"interval",
"is",
"set",
"to",
"100",
"k",
"-",
"blocks",
"in",
"the",
"##si",
"##mu",
"##lation",
"environment",
".",
"The",
"Leading",
"Po",
"##S",
"(",
"LP",
"##o",
"##S",
")",
"selection",
"##res",
"##ult",
"is",
"then",
"stored",
"as",
"s",
"##tat",
"##istic",
"blocks",
"and",
"may",
"be",
"verified",
"by",
"##any",
"node",
".",
"Next",
",",
"all",
"Po",
"##S",
"##s",
"are",
"generating",
"the",
"publication",
"secret",
"key",
"##fo",
"##r",
"LP",
"##o",
"##S",
"after",
"the",
"k",
"-",
"block",
"re",
"##tri",
"##eval",
".",
"The",
"publication",
"public",
"##key",
"is",
"calculated",
"based",
"on",
"the",
"k",
"-",
"block",
"ID",
"(",
"has",
"##h",
"sum",
")",
"and",
"##LP",
"##o",
"##S",
"ID",
".",
"The",
"secret",
"key",
"and",
"the",
"corresponding",
"shares",
"are",
"##cal",
"##culate",
"##d",
"based",
"on",
"the",
"protocol",
"described",
"in",
"sub",
"##section",
"III",
"-",
"B",
".",
"The",
"intermediate",
"execution",
"results",
"are",
"stored",
"in",
"the",
"static",
"block",
"##and",
"could",
"be",
"verified",
"later",
"on",
".",
"The",
"holder",
"gets",
"a",
"reward",
"for",
"##par",
"##tic",
"##ip",
"##ation",
"in",
"the",
"voting",
"and",
"P",
"##K",
"##G",
"-",
"related",
"procedures",
".",
"Po",
"##A",
"publishers",
"are",
"involved",
"in",
"the",
"micro",
"##block",
"publish",
"-",
"ing",
"process",
".",
"A",
"coalition",
"of",
"grouped",
"Po",
"##A",
"publishers",
"should",
"##generate",
"each",
"micro",
"##block",
".",
"In",
"order",
"to",
"retrieve",
"a",
"new",
"k",
"-",
"block",
",",
"a",
"group",
"of",
"Po",
"##A",
"generates",
"the",
"micro",
"##block",
"payload",
"(",
"array",
"of",
"##tra",
"##ns",
"##actions",
")",
"and",
"forwards",
"it",
"to",
"the",
"LP",
"##o",
"##S",
".",
"After",
"the",
"LP",
"##o",
"##S",
"##ver",
"##ifies",
"each",
"micro",
"##block",
",",
"it",
"puts",
"the",
"signature",
"by",
"using",
"the",
"##current",
"publication",
"secret",
"key",
".",
"Therefore",
",",
"the",
"micro",
"##block",
"data",
"##be",
"##come",
"##s",
"valid",
"##ated",
"by",
"Po",
"##A",
"node",
"and",
"LP",
"##o",
"##S",
"node",
"in",
"the",
"system",
",",
"and",
"their",
"participation",
"may",
"be",
"verified",
"later",
".",
"The",
"Po",
"##A",
"rewards",
"##are",
"based",
"on",
"participation",
"in",
"the",
"ve",
"##rification",
"procedure",
".",
"The",
"resident",
"is",
"one",
"of",
"the",
"Po",
"##S",
"holders",
"of",
"the"
] | Blockchain Technology for Smartphones and Constrained IoT Devices A Future Perspective and Implementation | 699 |
Subsets and Splits