The isnad bowtie

Claim (verbatim)

The isnad bowtie. Joins web-graph topology to hadith science: when Broder and colleagues mapped the early web, they found a bowtie — a small strongly-connected core through which most hyperlink paths route. This conjecture claims the isnad network of the canonical hadith collections has the same anatomy. Every hadith carries its chain of transmitters from the Prophet to a collector, and classical hadith critics already knew that chains converge on pivotal common links — the madar phenomenon — because a small class of professional transmitters in the generations around 700-850 CE dominated the trade. Formalized, that makes the corpus a hub-dominated bowtie: a tiny fraction of named transmitters should appear in the majority of all chains, the core generation should sit a few tiers after the Prophet, and deleting the hundred most central transmitters should disconnect the great bulk of source-to-collector paths, where deleting a hundred random names would barely dent the network.

Prediction clause (verbatim)

In the isnad network extracted from the Six Books (>=100k chains), fewer than 3% of named transmitters appear in over 50% of all chains; the core generation sits at tiers 3-5 after the Prophet (roughly 700-850 CE); and deleting the 100 highest-betweenness transmitters disconnects more than 70% of all source-to-collector paths, versus under 20% for 100 random deletions.

Kill-dataset (verbatim)

Kill: digitized isnad chains of the canonical collections (existing hadith databases). A diffuse network in which removing the top 100 transmitters disconnects under 30% of paths kills it.

Novelty / leakage triage

already answered in the literature

Computational centrality analysis of isnad networks at scale is published (PageRank/betweenness over ~50k narrators, 4.3M transmission instances, naming top transmitters), an open Sahih Muslim isnad graph dataset exists, and the classical common-link/madar scholarship already establishes chains converging on a small core within 2-3 generations — substantially the conjecture's core including the hub-tier location. The Broder-bowtie decomposition and deletion-robustness test are refinements.

• 'Social network analysis of Hadith narrators', J. King Saud Univ. (CIS) — Centrality analysis at comparable scale
• Common-link theory (Schacht; isnad-cum-matn overview) — The core-generation convergence, classical scholarship

Predictions

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