CLM-0013 — Muqatta'at letters run high in their own surahs
PARTIALLY_SUPPORTED Audit report · deterministic reproduction
1 · Claim as commonly stated
The mysterious opening letters occur with unusually high frequency in the surahs they open.
Source note: Widely circulated in numerical-miracle literature and popular media; earliest precise source unverified, attribution left open rather than guessed.
2 · Reproduction method
Declared counting-rule matrix, executed against corpus quran:hafs-kufan:v1. Full rules, counts, and sample locations: EXP-0009.
3 · Result
Tested in EXP-0009 with one pre-declared statistic: 20 of 29 initialed surahs sit above the non-initialed median for their own letters (one-tailed binomial p = 0.031). Qaf ranks at the 96th percentile in Surah 50 and Nun at the 94th in Surah 68 — the classically cited standouts hold. The five الر surahs rank LOW (12th-20th percentile), against the claim.
4 · Sensitivity to counting rules
PARTIALLY_SUPPORTED — a modest global signal from a single pre-declared test, with named counterexamples; not corrected for the choice of statistic, stated as such.
5 · Statistical context
WEAK_TO_MODERATE_EVIDENCE — one pre-declared statistic, p = 0.031, uncorrected for statistic choice; the honest reading is 'suggestive, worth better-powered follow-up', not 'proven'.
6 · Best argument in favor
A single pre-declared statistic, run once, gave p = 0.031 with the classical standouts (Qaf, Nun) ranking exactly where tradition points.
7 · Strongest objection
The statistic itself was chosen from many possible ones, the signal is modest, and the five الر surahs rank against the claim.
8 · All recorded objections
- The statistic itself was chosen from many possible ones, the signal is modest, and the five الر surahs rank against the claim.
- With thousands of countable properties and free choice of counting rule, exact matches are expected somewhere by chance alone; only rules declared before counting carry weight.
9 · Final status
PARTIALLY_SUPPORTED
10 · Public summary
Tested in EXP-0009 with one pre-declared statistic: 20 of 29 initialed surahs sit above the non-initialed median for their own letters (one-tailed binomial p = 0.031).
11 · Reproduce it yourself
python3 services/research-worker/scripts/run_experiment.py data/research/specs/EXP-0009.json — the registry entry lives in data/research/claims.json; the result files record input checksums and environment.