The Digital Root Fingerprint of the Quran — Paper III: System-Independent Validation via Special-6 Binary Encoding

The strongest criticism against the digital root fingerprint of the Quran (Papers I & II) was that the pattern might be an artifact of the traditional Abjad numbering system. This paper introduces Special-6, an entirely independent binary encoding assigning unique values to 33 distinct written forms of Arabic letters. Applied to 114 surahs, the Quran shows a statistically significant bias toward {3,6,9} digital roots (51/114 = 44.7%, p = 0.007, stable across three runs of 10,000 permutations). Three classical Arabic control texts — Sahih al-Bukhari (p = 0.389), Futuhat al-Makkiyya (p = 0.606), and al-Mu'allaqat (p = 0.707) — show no significance under the same system. The traditional Abjad system at the surah level shows p = 0.817. This reversal demonstrates the fingerprint resides in the text itself, not in any numbering convention. Six independent AI models (GPT-4, ChatGPT, Claude, Gemini, Llama, Grok) were used as an adversarial panel; all six proposed alternative explanations were refuted by the control text results.