The isnad bowtie

Claim (verbatim)

The isnad bowtie. Joins web-graph topology (the Broder bowtie anatomy of the early web) to hadith science: the transmission paths from the Prophet to the canonical collectors route through a tiny strongly-connected core of professional transmitters, the classical madar phenomenon, giving the corpus the same hub-dominated bowtie shape as the hyperlink graph.

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

Leaked (already exists 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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