QX-NEPHRIEL-Seventh-String / PROOF_AUDIT.json
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QX-NEPHRIEL Seventh-String research release
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{
"audit_date": "2026-10-03",
"review_type": "additional AI review",
"source_changed": false,
"fatal_mathematical_errors_found": 0,
"order_seven_scope": "complex Hermitian PSD 7x7 A and B, each rank at most three",
"order_seven_coefficient": "24/25",
"optimal_coefficient_claimed": false,
"exact_check_replay": {
"verify_q7.py": {"status": "passed", "checks": 49},
"verify_q8_q9.py": {"status": "passed", "n8_closed_intervals": 21, "n9_closed_intervals": 12, "unresolved_intervals": 0},
"audit_symbolic.py": {"status": "passed", "dependency": "sympy==1.14.0", "secondary_dependency": "mpmath==1.3.0", "fresh_checks_counted": 21}
},
"high_order_extension_reviewed": true,
"all_order_rank_three_corollary_external_dependency": "Li-Zhao-Luo through-order-six preprint, not independently audited here",
"unrestricted_conjecture_solved": false,
"priority_confirmed": false,
"human_peer_review_claimed": false,
"proof_assistant_formalization_claimed": false,
"release_blockers": [],
"clarifications": [
"The symbolic audit passed after installing its optional dependencies into an isolated scratch directory.",
"Keep existing estimates attributed to Ma and the entropy argument attributed to established literature.",
"Optionally include the elementary monotonicity proof for factorial-root interpolation in the infinite-tail appendix."
],
"verified_primary_sources": [
"https://yair-lavi.com/mincs-list/conjecture-30/index.html",
"https://arxiv.org/html/2609.37461v1",
"https://www.preprints.org/manuscript/202608.2196"
]
}