{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4VO2IXML4A7WFNSHB7XZWMNO62","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":"5320287b730a402a1eac1db1599d26ce1d9a5e3d94c5c57c442c79492040a952","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-27T11:12:03Z","title_canon_sha256":"ab461477d5091acfd9479448f4f6f72fc4aca11f6f91c98db7367cd2a8a79c12"},"schema_version":"1.0","source":{"id":"1612.08573","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08573","created_at":"2026-05-18T00:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08573v3","created_at":"2026-05-18T00:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08573","created_at":"2026-05-18T00:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"4VO2IXML4A7W","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4VO2IXML4A7WFNSH","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4VO2IXML","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:1d386adbc7da82e14ff013adc32aa3762fc434860642b1eb2ff843385958c1c5","target":"graph","created_at":"2026-05-18T00:42:46Z","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"},"paper":{"abstract_excerpt":"The representation theory of a conformal net is a unitary modular tensor category. It is captured by the bimodule category of the Jones-Wassermann subfactor. In this paper, we construct multi-interval Jones-Wassermann subfactors for unitary modular tensor categories. We prove that these subfactors are self-dual. It generalizes and categorifies the self-duality of finite abelian groups and we call it modular self-duality.","authors_text":"Feng Xu, Zhengwei Liu","cross_cats":["math-ph","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-27T11:12:03Z","title":"Jones-Wassermann subfactors for modular tensor categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08573","kind":"arxiv","version":3},"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":"sha256:661480f5ea6cc6c78b7330dcd7c5d73404ef91b709a824dd0084980670cdc5b3","target":"record","created_at":"2026-05-18T00:42:46Z","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":"5320287b730a402a1eac1db1599d26ce1d9a5e3d94c5c57c442c79492040a952","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-27T11:12:03Z","title_canon_sha256":"ab461477d5091acfd9479448f4f6f72fc4aca11f6f91c98db7367cd2a8a79c12"},"schema_version":"1.0","source":{"id":"1612.08573","kind":"arxiv","version":3}},"canonical_sha256":"e55da45d8be03f62b6470fef9b31aef6bae51753103e5c15aa48f4e1d4709f6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e55da45d8be03f62b6470fef9b31aef6bae51753103e5c15aa48f4e1d4709f6d","first_computed_at":"2026-05-18T00:42:46.298912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:46.298912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yexHVDUfkn2KW8x4ph4l12EVuXf4bgaavWhawAXktFGREINpBxSucd188I0Z6JwPvvjQnuP5lXmjwiQDthHLCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:46.299595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08573","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:661480f5ea6cc6c78b7330dcd7c5d73404ef91b709a824dd0084980670cdc5b3","sha256:1d386adbc7da82e14ff013adc32aa3762fc434860642b1eb2ff843385958c1c5"],"state_sha256":"f804ffe242ddca63809efe8533fa974ff43735bc74f5906826e128cc57c2fddc"}