{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:BAN6XCTQSNVDODQRE7GKW65MUM","short_pith_number":"pith:BAN6XCTQ","canonical_record":{"source":{"id":"q-alg/9601021","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1996-01-21T02:36:20Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"f6eeb76e5579103885ff23fdadb622ba619b7132efededc568927420e90a1ef1","abstract_canon_sha256":"1f5514239e1cebf54e397625be2117bc3c01889cfcef613a2eb4989fa2c68a17"},"schema_version":"1.0"},"canonical_sha256":"081beb8a70936a370e1127ccab7baca30d4891f4a4ed6d739eb39bc044c61051","source":{"kind":"arxiv","id":"q-alg/9601021","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9601021","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9601021v2","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9601021","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"pith_short_12","alias_value":"BAN6XCTQSNVD","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"BAN6XCTQSNVDODQR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"BAN6XCTQ","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:BAN6XCTQSNVDODQRE7GKW65MUM","target":"record","payload":{"canonical_record":{"source":{"id":"q-alg/9601021","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1996-01-21T02:36:20Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"f6eeb76e5579103885ff23fdadb622ba619b7132efededc568927420e90a1ef1","abstract_canon_sha256":"1f5514239e1cebf54e397625be2117bc3c01889cfcef613a2eb4989fa2c68a17"},"schema_version":"1.0"},"canonical_sha256":"081beb8a70936a370e1127ccab7baca30d4891f4a4ed6d739eb39bc044c61051","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:07.561987Z","signature_b64":"uw+YGRPyY+Ppkv8wgUFTCVyfYutnhlQwwN1OuUNMtCyqo7h2wNPYHKy4zqkRcccXQ2y+KsjxOrOuFI2TE5ClAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"081beb8a70936a370e1127ccab7baca30d4891f4a4ed6d739eb39bc044c61051","last_reissued_at":"2026-05-18T01:05:07.561224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:07.561224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"q-alg/9601021","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DD28N4dRkiinxyqvM2FKiPahLyMVZHxo05ZraPGNJYoUoTt1GCNwcZsKswV051pCLUPRKDAOOsoEOJ5BpkL2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:56:15.939807Z"},"content_sha256":"d1a83f6018f60842bbd93f3b9595a873d2498ef9450138452267b53830f0e49a","schema_version":"1.0","event_id":"sha256:d1a83f6018f60842bbd93f3b9595a873d2498ef9450138452267b53830f0e49a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:BAN6XCTQSNVDODQRE7GKW65MUM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Genealogy of Nonperturbative Quantum-Invariants of 3-Manifolds: The Surgical Family","license":"","headline":"","cross_cats":["hep-th","math.QA"],"primary_cat":"q-alg","authors_text":"Thomas Kerler","submitted_at":"1996-01-21T02:36:20Z","abstract_excerpt":"We study the relations between the invariants $\\tau_{RT}$, $\\tau_{HKR}$, and\n $\\tau_L$ of Reshetikhin-Turaev, Hennings-Kauffman-Radford, and Lyubashenko,\n respectively. In particular, we discuss explicitly how $\\tau_L$ specializes to $\\tau_{RT}$ for semisimple categories and to $\\tau_{HKR}$ for Tannakian categories. We give arguments for that $\\tau_L$ is the most general invariant that stems from an extended TQFT. We introduce a canonical, central element, {\\sf Q}, for a quasi-triangular Hopf algebra, $\\A$, that allows us to apply the Hennings algorithm directly, in order to compute $\\tau_{RT}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9601021","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2X7dLwbEZXqra7iaMENwefTSgVii6iuejjnRrqumvumJPlqscJIR+WsZ4JkIkAVJtKnmiOoNE5QeNLcEIei2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:56:15.940160Z"},"content_sha256":"6af4ca24b86d4b715a8a065e2a85d8d3cbd1cf2b553233dae51250d3458ce96f","schema_version":"1.0","event_id":"sha256:6af4ca24b86d4b715a8a065e2a85d8d3cbd1cf2b553233dae51250d3458ce96f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BAN6XCTQSNVDODQRE7GKW65MUM/bundle.json","state_url":"https://pith.science/pith/BAN6XCTQSNVDODQRE7GKW65MUM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BAN6XCTQSNVDODQRE7GKW65MUM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T17:56:15Z","links":{"resolver":"https://pith.science/pith/BAN6XCTQSNVDODQRE7GKW65MUM","bundle":"https://pith.science/pith/BAN6XCTQSNVDODQRE7GKW65MUM/bundle.json","state":"https://pith.science/pith/BAN6XCTQSNVDODQRE7GKW65MUM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BAN6XCTQSNVDODQRE7GKW65MUM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:BAN6XCTQSNVDODQRE7GKW65MUM","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":"1f5514239e1cebf54e397625be2117bc3c01889cfcef613a2eb4989fa2c68a17","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1996-01-21T02:36:20Z","title_canon_sha256":"f6eeb76e5579103885ff23fdadb622ba619b7132efededc568927420e90a1ef1"},"schema_version":"1.0","source":{"id":"q-alg/9601021","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9601021","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9601021v2","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9601021","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"pith_short_12","alias_value":"BAN6XCTQSNVD","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"BAN6XCTQSNVDODQR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"BAN6XCTQ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:6af4ca24b86d4b715a8a065e2a85d8d3cbd1cf2b553233dae51250d3458ce96f","target":"graph","created_at":"2026-05-18T01:05:07Z","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":"We study the relations between the invariants $\\tau_{RT}$, $\\tau_{HKR}$, and\n $\\tau_L$ of Reshetikhin-Turaev, Hennings-Kauffman-Radford, and Lyubashenko,\n respectively. In particular, we discuss explicitly how $\\tau_L$ specializes to $\\tau_{RT}$ for semisimple categories and to $\\tau_{HKR}$ for Tannakian categories. We give arguments for that $\\tau_L$ is the most general invariant that stems from an extended TQFT. We introduce a canonical, central element, {\\sf Q}, for a quasi-triangular Hopf algebra, $\\A$, that allows us to apply the Hennings algorithm directly, in order to compute $\\tau_{RT}","authors_text":"Thomas Kerler","cross_cats":["hep-th","math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1996-01-21T02:36:20Z","title":"Genealogy of Nonperturbative Quantum-Invariants of 3-Manifolds: The Surgical Family"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9601021","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:d1a83f6018f60842bbd93f3b9595a873d2498ef9450138452267b53830f0e49a","target":"record","created_at":"2026-05-18T01:05:07Z","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":"1f5514239e1cebf54e397625be2117bc3c01889cfcef613a2eb4989fa2c68a17","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1996-01-21T02:36:20Z","title_canon_sha256":"f6eeb76e5579103885ff23fdadb622ba619b7132efededc568927420e90a1ef1"},"schema_version":"1.0","source":{"id":"q-alg/9601021","kind":"arxiv","version":2}},"canonical_sha256":"081beb8a70936a370e1127ccab7baca30d4891f4a4ed6d739eb39bc044c61051","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"081beb8a70936a370e1127ccab7baca30d4891f4a4ed6d739eb39bc044c61051","first_computed_at":"2026-05-18T01:05:07.561224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:07.561224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uw+YGRPyY+Ppkv8wgUFTCVyfYutnhlQwwN1OuUNMtCyqo7h2wNPYHKy4zqkRcccXQ2y+KsjxOrOuFI2TE5ClAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:07.561987Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9601021","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1a83f6018f60842bbd93f3b9595a873d2498ef9450138452267b53830f0e49a","sha256:6af4ca24b86d4b715a8a065e2a85d8d3cbd1cf2b553233dae51250d3458ce96f"],"state_sha256":"2a7dbfd0964814a3bcb7ae1d09d39ed85f8184184a137f076ef500e3e265a247"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bJ+gkcb0TzCoz1DQ20iSGVkLYpUUgKh4dIIaGAN8z1ewIFG2x6IiGY7V2DUxVR7nG1Le++PaiArVpLUALKzJBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T17:56:15.942187Z","bundle_sha256":"68f0f51b18648bc84a1b0c2bd2f333cc132285d5913de4d766491f56b93bf106"}}