The Quranic {3,6,9} Fingerprint: Division Architecture and Cross-Text Controls

Revised version: Hebrew characters in Section 5.1 now render correctly with Unicode font embedding. Three new gates of investigation into the numerical structure of the Quran, extending the {3,6,9} digital-root fingerprint established in Papers I-III. Gate Five (Exp 07-08): Fingerprint in division boundaries, not word values. Real Surahs: p=0.007. Equal divisions: p=0.137. Gate Six (Exp 09): Bukhari (Arabic, religious) — no fingerprint (p>0.13). Gate Seven (Exp 10): Torah in Hebrew with Gematria — no fingerprint (p>0.33). Five alternative hypotheses formally eliminated. Completed Laylat al-Qadr, 27 Ramadan 1446H.