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EXP-0009 — Muqatta'at: do the opening letters run high in their own surahs?

completed Deterministic computation

Question

For each of the 29 initialed surahs, is the combined frequency share of its opening letters higher in that surah's body than the same letters' share in non-initialed surahs?

Hypothesis

Popular claim predicts initialed surahs rank high for their own letters. Null: percentiles uniform; count above median ~ Binomial(29, 0.5).

Counting policy

letters-basic characters; the initials verse itself is excluded from its surah's body count; ranking is against all 85 non-initialed surahs; muqatta'at assignment per the standard 29-surah list; combined-share statistic declared before execution.

Reproducibility record

Corpus

quran:hafs-kufan:v1

Method version

muqattaat-frequency-v1

Results sha256

99960d257d88f27b8e7a5613597dad34…

Environment

{"platform":"Linux-6.18.5-fc-v20-x86_64-with-glibc2.39","python":"3.11.15"}

Ran

2026-08-14T07:45:15Z → 2026-08-14T07:45:15Z

Re-run with python3 services/research-worker/scripts/run_experiment.py data/research/specs/EXP-0009.json. Input checksums are recorded in the result file.