{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:RYMCRMJYYDNO3S74KM2HD3Q43L","short_pith_number":"pith:RYMCRMJY","schema_version":"1.0","canonical_sha256":"8e1828b138c0daedcbfc533471ee1cdacd32ddd0dd2bf1a563777f19c6dcbd1f","source":{"kind":"arxiv","id":"2502.18921","version":3},"attestation_state":"computed","paper":{"title":"Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Fan Liu, Jie Yang, Rui Wang, Wei-Zhong Zhao","submitted_at":"2025-02-26T08:18:18Z","abstract_excerpt":"We reinvestigate the Calogero-Sutherland-type (CS-type) models and generalized hypergeometric functions. We construct the generalized CS operators for circular, Hermite, Laguerre, Jacobi and Bessel cases and establish the generalized Lassalle-Nekrasov correspondence. A family of operators are constructed based on the spherical degenerate double affine Hecke algebra. In terms of these operators, we provide concise representations and constraints for the generalized hypergeometric functions. We analyze the superintegrability for the $\\beta$-deformed integrals, where the measures are associated w"},"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":"2502.18921","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-02-26T08:18:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"009caaf5137b8f0ef0d900be716cb940e0afa846271ea5fd32297781b8ed31dc","abstract_canon_sha256":"66fcd176badc182430be396dbd1f0e326f959b703641cc936ca6dfa9a12ed2da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:56:17.849721Z","signature_b64":"/dxC3KsnENw5FebSCP2RCbuwqT9Q08CFlquoBnvGGAv5+CNTpyXT+MscaCRJU9daJekrXTrZc36Va6JVMOntDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e1828b138c0daedcbfc533471ee1cdacd32ddd0dd2bf1a563777f19c6dcbd1f","last_reissued_at":"2026-07-05T11:56:17.849219Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:56:17.849219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Fan Liu, Jie Yang, Rui Wang, Wei-Zhong Zhao","submitted_at":"2025-02-26T08:18:18Z","abstract_excerpt":"We reinvestigate the Calogero-Sutherland-type (CS-type) models and generalized hypergeometric functions. We construct the generalized CS operators for circular, Hermite, Laguerre, Jacobi and Bessel cases and establish the generalized Lassalle-Nekrasov correspondence. A family of operators are constructed based on the spherical degenerate double affine Hecke algebra. In terms of these operators, we provide concise representations and constraints for the generalized hypergeometric functions. We analyze the superintegrability for the $\\beta$-deformed integrals, where the measures are associated w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.18921","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.18921/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2502.18921","created_at":"2026-07-05T11:56:17.849277+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.18921v3","created_at":"2026-07-05T11:56:17.849277+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.18921","created_at":"2026-07-05T11:56:17.849277+00:00"},{"alias_kind":"pith_short_12","alias_value":"RYMCRMJYYDNO","created_at":"2026-07-05T11:56:17.849277+00:00"},{"alias_kind":"pith_short_16","alias_value":"RYMCRMJYYDNO3S74","created_at":"2026-07-05T11:56:17.849277+00:00"},{"alias_kind":"pith_short_8","alias_value":"RYMCRMJY","created_at":"2026-07-05T11:56:17.849277+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.09865","citing_title":"Finite size corrections in the bulk for circular $\\beta$ ensembles","ref_index":56,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L","json":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L.json","graph_json":"https://pith.science/api/pith-number/RYMCRMJYYDNO3S74KM2HD3Q43L/graph.json","events_json":"https://pith.science/api/pith-number/RYMCRMJYYDNO3S74KM2HD3Q43L/events.json","paper":"https://pith.science/paper/RYMCRMJY"},"agent_actions":{"view_html":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L","download_json":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L.json","view_paper":"https://pith.science/paper/RYMCRMJY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.18921&json=true","fetch_graph":"https://pith.science/api/pith-number/RYMCRMJYYDNO3S74KM2HD3Q43L/graph.json","fetch_events":"https://pith.science/api/pith-number/RYMCRMJYYDNO3S74KM2HD3Q43L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L/action/storage_attestation","attest_author":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L/action/author_attestation","sign_citation":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L/action/citation_signature","submit_replication":"https://pith.science/pith/RYMCRMJYYDNO3S74KM2HD3Q43L/action/replication_record"}},"created_at":"2026-07-05T11:56:17.849277+00:00","updated_at":"2026-07-05T11:56:17.849277+00:00"}