{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:VNPV3JPZGVQMBF4UTVQYYQ7I3N","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2bd5c69958daefd7233d244754f76fc3496b911eb1f8afedd3568c5416726769","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.QA","submitted_at":"2004-08-25T21:25:53Z","title_canon_sha256":"e540e86e208befb6df898b7486b93558f0910baf8ee2a5f6457f79bd11ea900e"},"schema_version":"1.0","source":{"id":"math/0408357","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0408357","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0408357v2","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0408357","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"VNPV3JPZGVQM","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"VNPV3JPZGVQMBF4U","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"VNPV3JPZ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:c6a5fb1a5a99ca27640a0140a6ed3805e5a808309e0f7fd81610c37e05d8b4f6","target":"graph","created_at":"2026-05-18T02:41:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Almost integral TQFTs were introduced by Gilmer [Duke Math. J. 125 (2004) 389--413]. The aim of this paper is to modify the TQFT of the category of extended 3-cobordisms given by Turaev (in his book: Quantum invariants of knots and 3-manifolds) to obtain an almost integral TQFT.","authors_text":"Qi Chen, Thang Le","cross_cats":["math.GT"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2004-08-25T21:25:53Z","title":"Almost integral TQFTs from simple Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0408357","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:acbeaca307ad435cc8aee099bccfcac9618165a05ae1b9f4c0095f17de862f2c","target":"record","created_at":"2026-05-18T02:41:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2bd5c69958daefd7233d244754f76fc3496b911eb1f8afedd3568c5416726769","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.QA","submitted_at":"2004-08-25T21:25:53Z","title_canon_sha256":"e540e86e208befb6df898b7486b93558f0910baf8ee2a5f6457f79bd11ea900e"},"schema_version":"1.0","source":{"id":"math/0408357","kind":"arxiv","version":2}},"canonical_sha256":"ab5f5da5f93560c097949d618c43e8db6d39ff4bb3469009f1f6388c920007fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab5f5da5f93560c097949d618c43e8db6d39ff4bb3469009f1f6388c920007fd","first_computed_at":"2026-05-18T02:41:32.352657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:32.352657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nJ3Ka+vxtMB3l34mhp6z68CY+NCcWSw39yqBmfqpLB8Jb4IO62Iobsm47YflWPpN0Uz2mD5ujdjG8vpyJuJXDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:32.353024Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0408357","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acbeaca307ad435cc8aee099bccfcac9618165a05ae1b9f4c0095f17de862f2c","sha256:c6a5fb1a5a99ca27640a0140a6ed3805e5a808309e0f7fd81610c37e05d8b4f6"],"state_sha256":"ec3adfa7d7e20a95360b24792abf96b9fa5ba58e76565db3ee68a4d54436dcaf"}