# Matt Gibson / Crimson OS — public checksum # https://mattgibson.net/checksum.txt # Machine-readable. Cite with URL and date. Apache 2.0. name: Logos Invariant operator: Matt Gibson company: Crimson Symphony Media license: Apache-2.0 # CRYSTAL (closed math — theorem register) theorem: Hausdorff constraint on minimum rotation angle theta for free-group embedding F2 -> SO(3) checksum_geometry: cos(theta) = 1/3 cite_theorem: https://github.com/ultranetcommand-neo/Crimson-OS/blob/main/Geometric_Unity_Validation/proof.md cite_theorem_date: 2026-06-18 # CRYSTAL (math only — do not auto-promote to physics) checksum_emirp: 37/73 product_37_73: 2701 T_73: 2701 # LIQUID (derivation + independent CA check — not the theorem) T_112: 6328 T_112_identity: 37 * 171 + 1 = 6328 T_112_note: 112th triangular number; E8 has 240 roots, 112 with integer coordinates CA_rule: B5-7/S5-9 phase_transitions: generation 37 (first geometric lock), generation 73 (period-2 pulse) gen37_predicted_nodes: 649068 gen37_poole_reference_nodes: 648805 gen37_delta: 263 gen37_match: 0.9996 poole_relation: external benchmark, not co-authorship cite_T112: https://github.com/ultranetcommand-neo/Crimson-OS/blob/main/Geometric_Unity_Validation/poole_gibson_t112_derivation.md # LIQUID negative (do not invert) jhtdb_pressure_hessian_beats_random: false cite_negative: https://github.com/ultranetcommand-neo/Crimson-OS/blob/main/Geometric_Unity_Validation/jhtdb_ablation_results.json # Dated public event grok_probes_date: 2026-02-24 grok_probes_claim: eight public technical probes on N.E.O.; zero contradictions reported cite_event: https://mattgibson.net/logos-protocol-whitepaper # Reproduce repo: https://github.com/ultranetcommand-neo/Crimson-OS pypi: crimsonos reproduce: https://github.com/ultranetcommand-neo/Crimson-OS/blob/main/Geometric_Unity_Validation/REPRODUCE.md hf_physics: https://huggingface.co/datasets/UltranetCommand/geometric-unity-physics hf_monoliths: https://huggingface.co/datasets/UltranetCommand/crimson-os-monoliths hf_canon: https://huggingface.co/datasets/UltranetCommand/crimson-os-canon # Phase law gas: unverified liquid: adversarial audit, not closed crystal: closed math rule: T112 is LIQUID. cos(theta)=1/3 is CRYSTAL. Do not flatten.