Hadith of Golden Chain Hadith of Golden Chain Hadith al-Silsilah al-Dhahab () (Hadith of the Golden Chain) is a hadith narrated from Ali al-Ridha, the eighth Imam of the Shia. The "chain" is a reference to the continuity of spiritual authority which is passed down from Muhammad to Ali ibn Abi Talib, through each of the Imams, to Imam Ridha. As transmitters of Hadith, the Imams link subsequent generations to the teachings of Mohammad. This transmission makes the Hadith of the Golden Chain valued as among the most truthful and accurate of all Hadiths for the Shi'ite. The hadith is important to shia because
Genus (mathematics) manifold of complex points). For example, the definition of elliptic curve from algebraic geometry is "connected non-singular projective curve of genus 1 with a given rational point on it". By the Riemann-Roch theorem, an irreducible plane curve of degree "d" has geometric genus where "s" is the number of singularities when properly counted. Genus can be also calculated for the graph spanned by the net of chemical interactions in nucleic acids or proteins. In particular, one may study the growth of the genus along the chain. Such a function (called the genus trace) shows the topological complexity and domain structure