{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OCIJOC2RD6RWELPETYMAHR3NV2","short_pith_number":"pith:OCIJOC2R","canonical_record":{"source":{"id":"1712.04931","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-13T18:57:30Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"33a9a1677ff86d32aac9430d083be22366ef1cdaa34681508fa81d09d731cc77","abstract_canon_sha256":"dc09987df5ee4a116a8bb69fdf1e49ad9cc8d4cfc8ef53677dc05b8a798934fa"},"schema_version":"1.0"},"canonical_sha256":"7090970b511fa3622de49e1803c76dae99bed002ef411544da6ef3c31a5bdf25","source":{"kind":"arxiv","id":"1712.04931","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04931","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04931v6","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04931","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"pith_short_12","alias_value":"OCIJOC2RD6RW","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"pith_short_16","alias_value":"OCIJOC2RD6RWELPE","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"pith_short_8","alias_value":"OCIJOC2R","created_at":"2026-07-05T00:21:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OCIJOC2RD6RWELPETYMAHR3NV2","target":"record","payload":{"canonical_record":{"source":{"id":"1712.04931","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-13T18:57:30Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"33a9a1677ff86d32aac9430d083be22366ef1cdaa34681508fa81d09d731cc77","abstract_canon_sha256":"dc09987df5ee4a116a8bb69fdf1e49ad9cc8d4cfc8ef53677dc05b8a798934fa"},"schema_version":"1.0"},"canonical_sha256":"7090970b511fa3622de49e1803c76dae99bed002ef411544da6ef3c31a5bdf25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:21:30.521815Z","signature_b64":"z08xQ67N8bLIX7fT313+EBNLS/XwZgOBw0I3yVIw1X1j8yRlwwXfFdLgMcmDrN3XjTN5xgL49xAlXo03/r1mCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7090970b511fa3622de49e1803c76dae99bed002ef411544da6ef3c31a5bdf25","last_reissued_at":"2026-07-05T00:21:30.521343Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:21:30.521343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.04931","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:21:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rsQ+wk8xJ/oXVGeSVrad8pBq2/m3QYJWkcjyhIWNrR+9x4C3lBbqxicdErLo2qZ9l+h6u3i6tppE9qQxfrYhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T18:18:38.649374Z"},"content_sha256":"47bf1590c830fb70014f751a00f4f5a0bbb52f603ad1a3f106c2d86081319645","schema_version":"1.0","event_id":"sha256:47bf1590c830fb70014f751a00f4f5a0bbb52f603ad1a3f106c2d86081319645"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OCIJOC2RD6RWELPETYMAHR3NV2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unitarity of the modular tensor categories associated to unitary vertex operator algebras, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"math.QA","authors_text":"Bin Gui","submitted_at":"2017-12-13T18:57:30Z","abstract_excerpt":"This is the second half of a two-part series studying tensor categories of unitary vertex operator algebras from a unitary point of view."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04931","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1712.04931/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:21:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CQGmm7IL5FvIsEgXM4NRvE3F+fHu8uMJEi0DHaqGW7eY9XVJUBrgdw6MRbiKz9omd4lfs0tNXh16RRwHxeqYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T18:18:38.649912Z"},"content_sha256":"11c90d56c8be5d410ab7d5289e29a2858f198b34b8d9a8d47bfef342511aa3c6","schema_version":"1.0","event_id":"sha256:11c90d56c8be5d410ab7d5289e29a2858f198b34b8d9a8d47bfef342511aa3c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OCIJOC2RD6RWELPETYMAHR3NV2/bundle.json","state_url":"https://pith.science/pith/OCIJOC2RD6RWELPETYMAHR3NV2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OCIJOC2RD6RWELPETYMAHR3NV2/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":"2026-08-21T18:18:38Z","links":{"resolver":"https://pith.science/pith/OCIJOC2RD6RWELPETYMAHR3NV2","bundle":"https://pith.science/pith/OCIJOC2RD6RWELPETYMAHR3NV2/bundle.json","state":"https://pith.science/pith/OCIJOC2RD6RWELPETYMAHR3NV2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OCIJOC2RD6RWELPETYMAHR3NV2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OCIJOC2RD6RWELPETYMAHR3NV2","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":"dc09987df5ee4a116a8bb69fdf1e49ad9cc8d4cfc8ef53677dc05b8a798934fa","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-13T18:57:30Z","title_canon_sha256":"33a9a1677ff86d32aac9430d083be22366ef1cdaa34681508fa81d09d731cc77"},"schema_version":"1.0","source":{"id":"1712.04931","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04931","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04931v6","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04931","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"pith_short_12","alias_value":"OCIJOC2RD6RW","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"pith_short_16","alias_value":"OCIJOC2RD6RWELPE","created_at":"2026-07-05T00:21:30Z"},{"alias_kind":"pith_short_8","alias_value":"OCIJOC2R","created_at":"2026-07-05T00:21:30Z"}],"graph_snapshots":[{"event_id":"sha256:11c90d56c8be5d410ab7d5289e29a2858f198b34b8d9a8d47bfef342511aa3c6","target":"graph","created_at":"2026-07-05T00:21:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1712.04931/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is the second half of a two-part series studying tensor categories of unitary vertex operator algebras from a unitary point of view.","authors_text":"Bin Gui","cross_cats":["math-ph","math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-13T18:57:30Z","title":"Unitarity of the modular tensor categories associated to unitary vertex operator algebras, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04931","kind":"arxiv","version":6},"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":"sha256:47bf1590c830fb70014f751a00f4f5a0bbb52f603ad1a3f106c2d86081319645","target":"record","created_at":"2026-07-05T00:21:30Z","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":"dc09987df5ee4a116a8bb69fdf1e49ad9cc8d4cfc8ef53677dc05b8a798934fa","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-13T18:57:30Z","title_canon_sha256":"33a9a1677ff86d32aac9430d083be22366ef1cdaa34681508fa81d09d731cc77"},"schema_version":"1.0","source":{"id":"1712.04931","kind":"arxiv","version":6}},"canonical_sha256":"7090970b511fa3622de49e1803c76dae99bed002ef411544da6ef3c31a5bdf25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7090970b511fa3622de49e1803c76dae99bed002ef411544da6ef3c31a5bdf25","first_computed_at":"2026-07-05T00:21:30.521343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:21:30.521343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z08xQ67N8bLIX7fT313+EBNLS/XwZgOBw0I3yVIw1X1j8yRlwwXfFdLgMcmDrN3XjTN5xgL49xAlXo03/r1mCg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:21:30.521815Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04931","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47bf1590c830fb70014f751a00f4f5a0bbb52f603ad1a3f106c2d86081319645","sha256:11c90d56c8be5d410ab7d5289e29a2858f198b34b8d9a8d47bfef342511aa3c6"],"state_sha256":"b35c4c05744ba3e685b041471eeb236e9729814ff30082040e74227d1774cfa3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIibdrCBX3fHVtgLPNSB9MJC2AXph1DVmpdELygJvsGOBI3Tc7KbpzEddQ0rrp+fL3Ls2hETkFqMO/rMJ7z+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T18:18:38.655588Z","bundle_sha256":"8c33ca0a55a99b5de5ffe7bd4dba8e202ff2486474c09f87201dc2bf021c3e8e"}}