{ "reviewDate": "2026-10-27", "archiveSha256": "d7f8c7b77179193dd6bcd8d76619c2d88765257791f4538e4559bf722bc99ddd", "runtime": { "python": "3.12.10 (tags/v3.12.10:0cc8128, Apr 8 2025, 12:21:36) [MSC v.1943 64 bit (AMD64)]", "implementation": "CPython", "platform": "Windows-11-10.0.26200-SP0", "assertions_enabled": true, "replay": "verify_proofs.py --output full-result.json", "workers": 1, "reused_prior_audits": false }, "integrity": { "result": "INTEGRITY_AND_ENTRYPOINT_PASS", "scope": "Distributed file hashes, identity with the previously verified payload, independent verifier imports, required input paths, and all eight exact feasible answers. No proof-tree replay or new optimality computation.", "files": 119, "byte_identical_prior_files": 97, "modules": [ "verify_continuous_independent", "verify_local_contact_independent", "verify_n3_continuous_independent", "verify_n3_independent", "verify_n3x_independent", "verify_n4_continuous_independent", "verify_n4_grid_independent", "verify_n4_independent", "verify_n5_grid_independent", "verify_n5_independent", "verify_n6_grid_independent", "verify_n6_independent", "verify_n7_angle_bound", "verify_n7_angle_model", "verify_n7_global_independent", "verify_n8_angle_bound", "verify_n8_angle_model", "verify_n8_global_independent", "verify_n8_local_independent", "verify_p94" ], "answers": { "1": "0.688190959", "2": "0.760845212", "3": "1.034563887", "4": "1.250988878", "5": "1.447980549", "6": "1.651074767", "7": "1.740983297", "8": "1.852488896" }, "elapsed_seconds": 1.687729835510254 }, "siteVerifier": [ { "n": 1, "valid": true, "score": "688190959", "displayScore": "0.688190959", "message": "答案有效，验证器已接受这份答案。", "messageEn": "The answer is valid; the verifier accepted it." }, { "n": 2, "valid": true, "score": "760845212", "displayScore": "0.760845212", "message": "答案有效，验证器已接受这份答案。", "messageEn": "The answer is valid; the verifier accepted it." }, { "n": 3, "valid": true, "score": "1034563887", "displayScore": "1.034563887", "message": "答案有效，验证器已接受这份答案。", "messageEn": "The answer is valid; the verifier accepted it." }, { "n": 4, "valid": true, "score": "1250988878", "displayScore": "1.250988878", "message": "答案有效，验证器已接受这份答案。", "messageEn": "The answer is valid; the verifier accepted it." }, { "n": 5, "valid": true, "score": "1447980549", "displayScore": "1.447980549", "message": "答案有效，验证器已接受这份答案。", "messageEn": "The answer is valid; the verifier accepted it." }, { "n": 6, "valid": true, "score": "1651074767", "displayScore": "1.651074767", "message": "答案有效，验证器已接受这份答案。", "messageEn": "The answer is valid; the verifier accepted it." }, { "n": 7, "valid": true, "score": "1740983297", "displayScore": "1.740983297", "message": "答案有效，验证器已接受这份答案。", "messageEn": "The answer is valid; the verifier accepted it." }, { "n": 8, "valid": true, "score": "1852488896", "displayScore": "1.852488896", "message": "答案有效，验证器已接受这份答案。", "messageEn": "The answer is valid; the verifier accepted it." } ], "rejectionChecks": [ { "case": "missing n3 tree node", "rejected": true, "message": "('Missing coverage node', '0')" }, { "case": "duplicate n3 tree node", "rejected": true, "message": "Duplicate tree IDs" }, { "case": "zeroed n3 dual evidence", "rejected": true, "message": "('Uncertified leaf', '0000', '3.0000000000000000000000000000000000000000000000000000000000000000000000')" }, { "case": "omitted n4 lattice orientation", "rejected": true, "message": "" }, { "case": "displaced n7 purported exact root", "rejected": true, "message": "" } ], "fullReplay": { "result": "FULL_N1_TO_N8_CERTIFICATE_REPLAY_PASS", "scope": "All eight exact grid constructions and grid exclusion certificates; n3..8 continuous global certificates. The elementary n1/n2 continuous geometry is given in the integrated guide. No unproved external bound is used.", "answers": { "1": "0.688190959", "2": "0.760845212", "3": "1.034563887", "4": "1.250988878", "5": "1.447980549", "6": "1.651074767", "7": "1.740983297", "8": "1.852488896" }, "components": { "n1_grid": "PASS", "n2_grid": "PASS", "n3_continuous": { "result": "PASS", "n": 3, "scope": "Exact continuous global maximum and uniqueness up to D5 and circle labels", "exact_sum_formula": "rho+2r, where r=a/(1+2a) and rho is the smaller positive root of the explicit quadratic in this verifier", "sum_lower": "1.0345638878527452387225025739828816962641346769073834980148029438149966", "sum_upper": "1.0345638878527452387225025739828816962641346769073834980148029438157310", "reference_error_upper": "0.0000000000000000000000000000000000000000000000000000000000000000003645", "max_normalized_coordinate_upper": "0.0000462418957792725902062026444615404746261274779123385285404401850412", "global_cover": { "continuous_sum_upper": "1.0345638879416668693589543981387517891726397808267692798070672774246593", "nodes": 112, "upper_bound_leaves": 56, "near_reference_leaves": 1, "largest_certified_coordinate_error_bound": "0.0000000084658908947462775751482372543495013044967693032007686983700637", "sha256": "16f531557b8c6203a40c6abb0cf5f5b01c23b30bafdca785aca584e3adcabf7a" }, "rigidity_certificate_sha256": "4112a635a9d19895af3621258950604c755d92070eaefe1cb43a4a21331cfc95", "reference_sha256": "9ecbbe836cb53b9ed1aed3e9da9212787dd580a5f15b5adf64ca78fdbf4972b5", "arithmetic": "Independent standard-library outward rational intervals; 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