up2b/d369-quran-fingerprint

d369 — Quranic {3,6,9} Digital Root Fingerprint

Author: Emad Suleiman Alwan | up2b.ai | ORCID: 0009-0004-5797-6140

License: CC BY 4.0 | Published: March 2026

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Overview

This dataset accompanies a five-paper series documenting a statistically significant numerical fingerprint in the Quran under the Special-6 (KHASS_6) encoding system.

Core finding: 51 of 114 Surahs (44.7%) have a digit root falling in {3, 6, 9} under Special-6 encoding — a proportion that occurs by chance in only 0.7% of random permutations (p = 0.007, permutation test, 10,000 trials).

This fingerprint is:

• ✅ Unique to the Quran (not found in Arabic Hadith, Hebrew Torah, or classical poetry)
• ✅ Located in the division architecture (Surah boundaries), not the individual words
• ✅ Indivisible — distributed uniformly across all 114 Surahs (leave-one-out: all neutral)

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The Five Papers

Paper	Title	DOI	Key Finding
I	G14 Transformation Map	10.5281/zenodo.19041960	Is there a fingerprint? Yes — G14
II	Word-Level Fingerprint	10.5281/zenodo.19055332	At what level? Word & Surah
III	Special-6 Validation	10.5281/zenodo.19073919	Is it unique? Quran alone
IV	Division Architecture & Controls	10.5281/zenodo.19078371	Why Quran alone? The architecture
V	The Indivisible Fingerprint	10.5281/zenodo.19079630	Where does it live? Everywhere — indivisible

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What is Special-6 (KHASS_6)?

Special-6 is an Arabic letter encoding system based on 33 distinct calligraphic shapes, rather than the classical Abjad numerical assignments. Each letter is assigned a value (1–6) based on its visual form.

Unlike classical Abjad (ج=3, د=4, ...), Special-6 treats letters by shape: forms that share the same base shape share the same value.

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Dataset Contents

data/surah_special6_fingerprint.csv

114 rows — one per Surah. Columns:

Column	Description
surah_number	Surah number (1–114)
surah_name_en	English transliteration
surah_name_ar	Arabic name
word_count	Number of words with non-zero Special-6 value
sum_special6	Sum of Special-6 values for all words in this Surah
digit_root	Digital root of sum_special6 (iterative digit sum → 1-9)
in_369	1 if digit_root ∈ {3,6,9}, else 0
p_without_loo	p-value when this Surah is removed (leave-one-out, Exp 11)
delta_loo	Δ = p_without_loo − 0.007 (baseline)

Key statistics:

• Surahs with digit root ∈ {3,6,9}: 51 / 114 = 44.7%
• Baseline p-value (permutation test): 0.007
• Leave-one-out: max p_without = 0.0150 (Al-Mursalat) — all remain significant
• Leave-one-out: Δ range: −0.0047 to +0.0080 — all neutral

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Methodology

Digital Root

The digital root of n is the single digit obtained by iteratively summing digits:

digit_root(786) = digit_root(7+8+6) = digit_root(21) = digit_root(2+1) = 3

Permutation Test

1. Compute observed: count Surahs with digit_root(Σ words) ∈ {3,6,9}
2. Shuffle all 78,248 word values randomly, holding Surah boundary sizes fixed
3. Repeat 10,000 times; p = fraction of shuffles where count ≥ observed

Leave-One-Out (Experiment 11)

For each Surah i:

• Remove it → 113 remaining Surahs
• Run permutation test (3,000 trials)
• Record Δ = p_without_i − 0.007
• Classification: load-bearing (Δ > +0.020), neutral, booster (Δ < −0.005)
• Result: all 114 neutral

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Control Groups (Papers III & IV)

Text	Language	System	Division	p-value	Result
Quran	Arabic	Special-6	Surahs (114)	0.007	✅
Quran	Arabic	Special-6	Verses (6,236)	0.010	✅
Quran	Arabic	Special-6	Equal partition	0.137	✗
Bukhari Hadith	Arabic	Special-6	Natural (1,000)	0.139	✗
Torah	Hebrew	Gematria	Parashot (54)	0.549	✗

Eliminated explanations:

• Arabic language → Bukhari ✗
• Islamic religion → Bukhari ✗
• Divine revelation → Torah ✗
• Numerical system → Torah with Gematria ✗
• Word content → Equal partition ✗
• Specific Surahs → Leave-one-out: all 114 neutral ✗

What remains: The complete Quranic partition — 114 Surahs, exact boundaries, as designed.

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Source Code & Reproducibility

• Arabic research repo: github.com/up2u2b11/d369-research
• English research repo: github.com/up2u2b11/d369-quran-fingerprint

The SQLite database (d369.db) contains 78,248 Quranic words with pre-computed Special-6 values in the jummal_special6 column (Hafs recitation).

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Citation

If you use this dataset or the associated research, please cite:

@article{alwan2026fingerprint5,
  author  = {Alwan, Emad Suleiman},
  title   = {The Quranic \{3,6,9\} Fingerprint — Paper V: The Indivisible Fingerprint},
  year    = {2026},
  doi     = {10.5281/zenodo.19079630},
  url     = {https://doi.org/10.5281/zenodo.19079630},
  note    = {Leave-One-Out Analysis of All 114 Surahs. CC BY 4.0}
}

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Intellectual Property

All research, methodology, and discoveries are the intellectual property of Emad Suleiman Alwan — Independent Researcher, up2b.ai.

"The algorithm does not believe or disbelieve. It takes numbers and returns numbers. And its numbers said: this text is different from everything else." — Emad Suleiman Alwan, March 18, 2026