{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:OP64ZI5U7GLSQJSFGDVUFVH6AK","short_pith_number":"pith:OP64ZI5U","schema_version":"1.0","canonical_sha256":"73fdcca3b4f99728264530eb42d4fe02bef3026c3d39e3ad0ded39bcd954c8fe","source":{"kind":"arxiv","id":"q-alg/9509003","version":1},"attestation_state":"computed","paper":{"title":"Exact operator solution of the Calogero-Sutherland model","license":"","headline":"","cross_cats":["math.CA","math.QA"],"primary_cat":"q-alg","authors_text":"Luc Lapointe, Luc Vinet","submitted_at":"1995-09-05T04:39:18Z","abstract_excerpt":"The wave functions of the Calogero-Sutherland model are known to be expressible in terms of Jack polynomials. A formula which allows to obtain the wave functions of the excited states by acting with a string of creation operators on the wave function of the ground state is presented and derived. The creation operators that enter in this formula of Rodrigues-type for the Jack polynomials involve Dunkl operators."},"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":"q-alg/9509003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1995-09-05T04:39:18Z","cross_cats_sorted":["math.CA","math.QA"],"title_canon_sha256":"68ccf89fa1af61de2f8164cd38b99005e2b4311b5458be61635868057ed59dc1","abstract_canon_sha256":"4a0028151427de8ff55eb8a89a3d929e8da83b4415a01074221c93e921719a89"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:56.007802Z","signature_b64":"SgTpY9NHlzra+8+4db0ebrO0htMTI5T9HTyNnNOQACCHgBT4iobbhAGyR0oBuHUwvY/sXIVbPvN0c/IsB7RjDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73fdcca3b4f99728264530eb42d4fe02bef3026c3d39e3ad0ded39bcd954c8fe","last_reissued_at":"2026-07-04T15:59:56.007432Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:56.007432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact operator solution of the Calogero-Sutherland model","license":"","headline":"","cross_cats":["math.CA","math.QA"],"primary_cat":"q-alg","authors_text":"Luc Lapointe, Luc Vinet","submitted_at":"1995-09-05T04:39:18Z","abstract_excerpt":"The wave functions of the Calogero-Sutherland model are known to be expressible in terms of Jack polynomials. A formula which allows to obtain the wave functions of the excited states by acting with a string of creation operators on the wave function of the ground state is presented and derived. The creation operators that enter in this formula of Rodrigues-type for the Jack polynomials involve Dunkl operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9509003","kind":"arxiv","version":1},"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/q-alg/9509003/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":"q-alg/9509003","created_at":"2026-07-04T15:59:56.007498+00:00"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9509003v1","created_at":"2026-07-04T15:59:56.007498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9509003","created_at":"2026-07-04T15:59:56.007498+00:00"},{"alias_kind":"pith_short_12","alias_value":"OP64ZI5U7GLS","created_at":"2026-07-04T15:59:56.007498+00:00"},{"alias_kind":"pith_short_16","alias_value":"OP64ZI5U7GLSQJSF","created_at":"2026-07-04T15:59:56.007498+00:00"},{"alias_kind":"pith_short_8","alias_value":"OP64ZI5U","created_at":"2026-07-04T15:59:56.007498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2507.17811","citing_title":"Medicine show: A Calogero model with principal series states","ref_index":85,"is_internal_anchor":true},{"citing_arxiv_id":"2508.07255","citing_title":"Non-commutative creation operators for symmetric polynomials","ref_index":46,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK","json":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK.json","graph_json":"https://pith.science/api/pith-number/OP64ZI5U7GLSQJSFGDVUFVH6AK/graph.json","events_json":"https://pith.science/api/pith-number/OP64ZI5U7GLSQJSFGDVUFVH6AK/events.json","paper":"https://pith.science/paper/OP64ZI5U"},"agent_actions":{"view_html":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK","download_json":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK.json","view_paper":"https://pith.science/paper/OP64ZI5U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=q-alg/9509003&json=true","fetch_graph":"https://pith.science/api/pith-number/OP64ZI5U7GLSQJSFGDVUFVH6AK/graph.json","fetch_events":"https://pith.science/api/pith-number/OP64ZI5U7GLSQJSFGDVUFVH6AK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK/action/storage_attestation","attest_author":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK/action/author_attestation","sign_citation":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK/action/citation_signature","submit_replication":"https://pith.science/pith/OP64ZI5U7GLSQJSFGDVUFVH6AK/action/replication_record"}},"created_at":"2026-07-04T15:59:56.007498+00:00","updated_at":"2026-07-04T15:59:56.007498+00:00"}