{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LWSS3A2Q36SKOFRLSTDREPFEKV","short_pith_number":"pith:LWSS3A2Q","schema_version":"1.0","canonical_sha256":"5da52d8350dfa4a7162b94c7123ca45573c3387553697f8da225287d4be79e30","source":{"kind":"arxiv","id":"1409.3034","version":3},"attestation_state":"computed","paper":{"title":"New Algebraic Structures from Hermitian One-Matrix Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Lingxian Meng, Xiang-Mao Ding, Yuping Li","submitted_at":"2014-09-10T11:50:48Z","abstract_excerpt":"Virasoro constraint is the operator algebra version of one-loop equation for a Hermitian one-matrix model, and it plays an important role in solving the model. We construct the realization of the Virasoro constraint from the Conformal Field Theory (CFT) method. From multi-loop equations of the one-matrix model, we get a more general constraint. It can be expressed in terms of the operator algebras, which is the Virasoro subalgebra with extra parameters. In this sense, we named as generalized Virasoro constraint. We enlarge this algebra with central extension, this is a new kind of algebra, and"},"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":"1409.3034","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-10T11:50:48Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"8e9bb339d57695286e0f0579574aecf563e58bfc1a2e06b2ec9398fecb457a5c","abstract_canon_sha256":"3196953bdab797fb32ef2495e3198ca05ce27b61cd1adfbc9802cbbabccb0249"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:52.865724Z","signature_b64":"SqIYDw5O6HdfwztPJSYLDZ06Wp02kU6d/sA9TUfn4wGQAtnh9k0XY6rIlTzO5pnE8H4BNgCbAphIUppjA0EcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5da52d8350dfa4a7162b94c7123ca45573c3387553697f8da225287d4be79e30","last_reissued_at":"2026-05-18T02:41:52.865221Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:52.865221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New Algebraic Structures from Hermitian One-Matrix Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Lingxian Meng, Xiang-Mao Ding, Yuping Li","submitted_at":"2014-09-10T11:50:48Z","abstract_excerpt":"Virasoro constraint is the operator algebra version of one-loop equation for a Hermitian one-matrix model, and it plays an important role in solving the model. We construct the realization of the Virasoro constraint from the Conformal Field Theory (CFT) method. From multi-loop equations of the one-matrix model, we get a more general constraint. It can be expressed in terms of the operator algebras, which is the Virasoro subalgebra with extra parameters. In this sense, we named as generalized Virasoro constraint. We enlarge this algebra with central extension, this is a new kind of algebra, and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3034","kind":"arxiv","version":3},"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":"1409.3034","created_at":"2026-05-18T02:41:52.865289+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.3034v3","created_at":"2026-05-18T02:41:52.865289+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3034","created_at":"2026-05-18T02:41:52.865289+00:00"},{"alias_kind":"pith_short_12","alias_value":"LWSS3A2Q36SK","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"LWSS3A2Q36SKOFRL","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"LWSS3A2Q","created_at":"2026-05-18T12:28:38.356838+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/LWSS3A2Q36SKOFRLSTDREPFEKV","json":"https://pith.science/pith/LWSS3A2Q36SKOFRLSTDREPFEKV.json","graph_json":"https://pith.science/api/pith-number/LWSS3A2Q36SKOFRLSTDREPFEKV/graph.json","events_json":"https://pith.science/api/pith-number/LWSS3A2Q36SKOFRLSTDREPFEKV/events.json","paper":"https://pith.science/paper/LWSS3A2Q"},"agent_actions":{"view_html":"https://pith.science/pith/LWSS3A2Q36SKOFRLSTDREPFEKV","download_json":"https://pith.science/pith/LWSS3A2Q36SKOFRLSTDREPFEKV.json","view_paper":"https://pith.science/paper/LWSS3A2Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.3034&json=true","fetch_graph":"https://pith.science/api/pith-number/LWSS3A2Q36SKOFRLSTDREPFEKV/graph.json","fetch_events":"https://pith.science/api/pith-number/LWSS3A2Q36SKOFRLSTDREPFEKV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LWSS3A2Q36SKOFRLSTDREPFEKV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LWSS3A2Q36SKOFRLSTDREPFEKV/action/storage_attestation","attest_author":"https://pith.science/pith/LWSS3A2Q36SKOFRLSTDREPFEKV/action/author_attestation","sign_citation":"https://pith.science/pith/LWSS3A2Q36SKOFRLSTDREPFEKV/action/citation_signature","submit_replication":"https://pith.science/pith/LWSS3A2Q36SKOFRLSTDREPFEKV/action/replication_record"}},"created_at":"2026-05-18T02:41:52.865289+00:00","updated_at":"2026-05-18T02:41:52.865289+00:00"}