{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:O7MVJJFWITOWJGOKEEFJE5JJLL","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":"e3eef7357050013b8a3e781ee96d01569a0f0b50f132bd8ab2eb4a3189ed804b","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-12-11T15:33:38Z","title_canon_sha256":"e3e867d691b0a729ba092baa0c843f9967d12bc385bea62e7ee0602da503fbc1"},"schema_version":"1.0","source":{"id":"1812.04470","kind":"arxiv","version":8}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.04470","created_at":"2026-07-05T02:28:46Z"},{"alias_kind":"arxiv_version","alias_value":"1812.04470v8","created_at":"2026-07-05T02:28:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.04470","created_at":"2026-07-05T02:28:46Z"},{"alias_kind":"pith_short_12","alias_value":"O7MVJJFWITOW","created_at":"2026-07-05T02:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"O7MVJJFWITOWJGOK","created_at":"2026-07-05T02:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"O7MVJJFW","created_at":"2026-07-05T02:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:48aa0f9dfb26dc1dff78975c36f9e45281e2090152aae33776c49bb655368ffd","target":"graph","created_at":"2026-07-05T02:28:46Z","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/1812.04470/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An important goal in studying the relations between unitary VOAs and conformal nets is to prove the equivalence of their ribbon categories. In this article, we prove this conjecture for many familiar examples. Our main idea is to construct new structures associated to conformal nets: the categorical extensions.","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":"2018-12-11T15:33:38Z","title":"Categorical extensions of conformal nets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.04470","kind":"arxiv","version":8},"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":"sha256:38d1b1a5258d3d7b20dd0af347d6022d6c18fc37cf2488e02d70099a3edf5e4f","target":"record","created_at":"2026-07-05T02:28:46Z","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":"e3eef7357050013b8a3e781ee96d01569a0f0b50f132bd8ab2eb4a3189ed804b","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-12-11T15:33:38Z","title_canon_sha256":"e3e867d691b0a729ba092baa0c843f9967d12bc385bea62e7ee0602da503fbc1"},"schema_version":"1.0","source":{"id":"1812.04470","kind":"arxiv","version":8}},"canonical_sha256":"77d954a4b644dd6499ca210a9275295af0f48a3f386c9b5e4d9f1a9e4d2d5a79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77d954a4b644dd6499ca210a9275295af0f48a3f386c9b5e4d9f1a9e4d2d5a79","first_computed_at":"2026-07-05T02:28:46.705383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:28:46.705383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P+Gvxrz+s++TahCkwkDF4yAMWFvKfooncfUF4NIWoF1I7q6lGZ6niPS2M7x833DdnCt03iSUcUdQZrLo3m9vAg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:28:46.705791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.04470","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38d1b1a5258d3d7b20dd0af347d6022d6c18fc37cf2488e02d70099a3edf5e4f","sha256:48aa0f9dfb26dc1dff78975c36f9e45281e2090152aae33776c49bb655368ffd"],"state_sha256":"ca17df86b90b9f78324e7ac37e3041e62b3c16c28bf84dca727334c1df139b69"}