The fifth edition (substantively, the third, critical edition) was published by the "Instituto de Investigaciones Históricas" (IIH), a research institute of the National Autonomous University of Mexico (UNAM), in seven volumes between 1975 and 1983. A research team was assembled under the direction of Miguel León-Portilla with the task of establishing the text (without, however, the benefit of the original manuscript, which could not be located) and of publishing it in six volumes, with (among other materials) analytic indices tracking Torquemada's sources. The decision was taken to modernise the orthography and punctuation in order to facilitate reading. Members of the team wrote various scholarly studies relevant to Torquemada and the "Monarquía indiana", which were published in 1983 as volume 7 to the series. Since 2010, this edition had been available online.