{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:US6UP4TEHJH4FGTENGKKKQ5FGP","short_pith_number":"pith:US6UP4TE","schema_version":"1.0","canonical_sha256":"a4bd47f2643a4fc29a646994a543a533f278b8410fc3b330113b86626f1102bf","source":{"kind":"arxiv","id":"1207.2398","version":4},"attestation_state":"computed","paper":{"title":"N=2 superconformal nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"math.OA","authors_text":"Feng Xu, Roberto Longo, Robin Hillier, Sebastiano Carpi, Yasuyuki Kawahigashi","submitted_at":"2012-07-10T16:04:54Z","abstract_excerpt":"We provide an Operator Algebraic approach to N=2 chiral Conformal Field Theory and set up the Noncommutative Geometric framework. Compared to the N=1 case, the structure here is much richer. There are naturally associated nets of spectral triples and the JLO cocycles separate the Ramond sectors. We construct the N=2 superconformal nets of von Neumann algebras in general, classify them in the discrete series c<3, and we define and study an operator algebraic version of the N=2 spectral flow. We prove the coset identification for the N=2 super-Virasoro nets with c<3, a key result whose equivalen"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1207.2398","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-07-10T16:04:54Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"e6be09a6cdee98732c524b4c6e87c7211d673320998603799fde21299d4f627b","abstract_canon_sha256":"73d20e08547736d0ea4e0253433d40f6fbb284ef7d75826a492e2aac132f9891"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:50.169665Z","signature_b64":"hw1gcSKC6vR/Smg8wTImV06fMfltZdvzrVsrUrVlFHKJBI4vlKxOfjfKKTjlu5fiVodEtODcdJrSEAuVR9TbBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4bd47f2643a4fc29a646994a543a533f278b8410fc3b330113b86626f1102bf","last_reissued_at":"2026-05-18T02:20:50.168948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:50.168948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"N=2 superconformal nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"math.OA","authors_text":"Feng Xu, Roberto Longo, Robin Hillier, Sebastiano Carpi, Yasuyuki Kawahigashi","submitted_at":"2012-07-10T16:04:54Z","abstract_excerpt":"We provide an Operator Algebraic approach to N=2 chiral Conformal Field Theory and set up the Noncommutative Geometric framework. Compared to the N=1 case, the structure here is much richer. There are naturally associated nets of spectral triples and the JLO cocycles separate the Ramond sectors. We construct the N=2 superconformal nets of von Neumann algebras in general, classify them in the discrete series c<3, and we define and study an operator algebraic version of the N=2 spectral flow. We prove the coset identification for the N=2 super-Virasoro nets with c<3, a key result whose equivalen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2398","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1207.2398","created_at":"2026-05-18T02:20:50.169069+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.2398v4","created_at":"2026-05-18T02:20:50.169069+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2398","created_at":"2026-05-18T02:20:50.169069+00:00"},{"alias_kind":"pith_short_12","alias_value":"US6UP4TEHJH4","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"US6UP4TEHJH4FGTE","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"US6UP4TE","created_at":"2026-05-18T12:27:23.164592+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP","json":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP.json","graph_json":"https://pith.science/api/pith-number/US6UP4TEHJH4FGTENGKKKQ5FGP/graph.json","events_json":"https://pith.science/api/pith-number/US6UP4TEHJH4FGTENGKKKQ5FGP/events.json","paper":"https://pith.science/paper/US6UP4TE"},"agent_actions":{"view_html":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP","download_json":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP.json","view_paper":"https://pith.science/paper/US6UP4TE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.2398&json=true","fetch_graph":"https://pith.science/api/pith-number/US6UP4TEHJH4FGTENGKKKQ5FGP/graph.json","fetch_events":"https://pith.science/api/pith-number/US6UP4TEHJH4FGTENGKKKQ5FGP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP/action/storage_attestation","attest_author":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP/action/author_attestation","sign_citation":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP/action/citation_signature","submit_replication":"https://pith.science/pith/US6UP4TEHJH4FGTENGKKKQ5FGP/action/replication_record"}},"created_at":"2026-05-18T02:20:50.169069+00:00","updated_at":"2026-05-18T02:20:50.169069+00:00"}