{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:PH3YHOB7WKBLP4E43BM5WWTNLR","short_pith_number":"pith:PH3YHOB7","schema_version":"1.0","canonical_sha256":"79f783b83fb282b7f09cd859db5a6d5c63316e309f06398a8785c1cff367eac0","source":{"kind":"arxiv","id":"solv-int/9609010","version":1},"attestation_state":"computed","paper":{"title":"The Calogero-Sutherland Model and Polynomials with Prescribed Symmetry","license":"","headline":"","cross_cats":["math.QA","nlin.SI","q-alg"],"primary_cat":"solv-int","authors_text":"P. J. Forrester (Uni. of Melbourne), T. H. Baker","submitted_at":"1996-09-26T02:51:44Z","abstract_excerpt":"The Schr\\\"odinger operators with exchange terms for certain Calogero-Sutherland quantum many body systems have eigenfunctions which factor into the symmetric ground state and a multivariable polynomial. The polynomial can be chosen to have a prescribed symmetry (i.e. be symmetric or antisymmetric) with respect to the interchange of some specified variables. For four particular Calogero-Sutherland systems we construct an eigenoperator for these polynomials which separates the eigenvalues and establishes orthogonality. In two of the cases this involves identifying new operators which commute wit"},"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":"solv-int/9609010","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1996-09-26T02:51:44Z","cross_cats_sorted":["math.QA","nlin.SI","q-alg"],"title_canon_sha256":"eb07dfafa3393f4d034bc1963a356b2793cfcdaeb7e75a4aa8c4bb499998d0a1","abstract_canon_sha256":"24aaf68052895b1ee08b297dcd3411db49684ef704ed64154e279af311678ae1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:00.034422Z","signature_b64":"9jkxt01aIwqvLG30QtlUuV/ii9nrq/FKN7ykhe8UxxAS6K/fDsBmIhgFIeEwf1iXYeB6evKNHQSI5q9/WxeMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79f783b83fb282b7f09cd859db5a6d5c63316e309f06398a8785c1cff367eac0","last_reissued_at":"2026-05-18T01:05:00.033936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:00.033936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Calogero-Sutherland Model and Polynomials with Prescribed Symmetry","license":"","headline":"","cross_cats":["math.QA","nlin.SI","q-alg"],"primary_cat":"solv-int","authors_text":"P. J. Forrester (Uni. of Melbourne), T. H. Baker","submitted_at":"1996-09-26T02:51:44Z","abstract_excerpt":"The Schr\\\"odinger operators with exchange terms for certain Calogero-Sutherland quantum many body systems have eigenfunctions which factor into the symmetric ground state and a multivariable polynomial. The polynomial can be chosen to have a prescribed symmetry (i.e. be symmetric or antisymmetric) with respect to the interchange of some specified variables. For four particular Calogero-Sutherland systems we construct an eigenoperator for these polynomials which separates the eigenvalues and establishes orthogonality. In two of the cases this involves identifying new operators which commute wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9609010","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":""},"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":"solv-int/9609010","created_at":"2026-05-18T01:05:00.034010+00:00"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9609010v1","created_at":"2026-05-18T01:05:00.034010+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9609010","created_at":"2026-05-18T01:05:00.034010+00:00"},{"alias_kind":"pith_short_12","alias_value":"PH3YHOB7WKBL","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"PH3YHOB7WKBLP4E4","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"PH3YHOB7","created_at":"2026-05-18T12:25:48.327863+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/PH3YHOB7WKBLP4E43BM5WWTNLR","json":"https://pith.science/pith/PH3YHOB7WKBLP4E43BM5WWTNLR.json","graph_json":"https://pith.science/api/pith-number/PH3YHOB7WKBLP4E43BM5WWTNLR/graph.json","events_json":"https://pith.science/api/pith-number/PH3YHOB7WKBLP4E43BM5WWTNLR/events.json","paper":"https://pith.science/paper/PH3YHOB7"},"agent_actions":{"view_html":"https://pith.science/pith/PH3YHOB7WKBLP4E43BM5WWTNLR","download_json":"https://pith.science/pith/PH3YHOB7WKBLP4E43BM5WWTNLR.json","view_paper":"https://pith.science/paper/PH3YHOB7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=solv-int/9609010&json=true","fetch_graph":"https://pith.science/api/pith-number/PH3YHOB7WKBLP4E43BM5WWTNLR/graph.json","fetch_events":"https://pith.science/api/pith-number/PH3YHOB7WKBLP4E43BM5WWTNLR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PH3YHOB7WKBLP4E43BM5WWTNLR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PH3YHOB7WKBLP4E43BM5WWTNLR/action/storage_attestation","attest_author":"https://pith.science/pith/PH3YHOB7WKBLP4E43BM5WWTNLR/action/author_attestation","sign_citation":"https://pith.science/pith/PH3YHOB7WKBLP4E43BM5WWTNLR/action/citation_signature","submit_replication":"https://pith.science/pith/PH3YHOB7WKBLP4E43BM5WWTNLR/action/replication_record"}},"created_at":"2026-05-18T01:05:00.034010+00:00","updated_at":"2026-05-18T01:05:00.034010+00:00"}