{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:EJI7CVCTMSYSMGP6AMMKGCNHJA","short_pith_number":"pith:EJI7CVCT","schema_version":"1.0","canonical_sha256":"2251f1545364b12619fe0318a309a74832768640022e74ab87ea3cc8478a5e0f","source":{"kind":"arxiv","id":"hep-th/0102153","version":1},"attestation_state":"computed","paper":{"title":"Quadratic Algebra associated with Rational Calogero-Moser Models","license":"","headline":"","cross_cats":["cond-mat","math-ph","math.MP","nlin.SI","quant-ph"],"primary_cat":"hep-th","authors_text":"J.-P. Francoise, R. Caseiro, R. Sasaki","submitted_at":"2001-02-22T08:09:50Z","abstract_excerpt":"Classical Calogero-Moser models with rational potential are known to be superintegrable. That is, on top of the r involutive conserved quantities necessary for the integrability of a system with r degrees of freedom, they possess an additional set of r-1 algebraically and functionally independent globally defined conserved quantities. At the quantum level, Kuznetsov uncovered the existence of a quadratic algebra structure as an underlying key for superintegrability for the models based on A type root systems. Here we demonstrate in a universal way the quadratic algebra structure for quantum ra"},"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":"hep-th/0102153","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-02-22T08:09:50Z","cross_cats_sorted":["cond-mat","math-ph","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"4f450d4579b2c176c625c7ac5c90af25d5db403f5846ceca8c96830bedd706fe","abstract_canon_sha256":"2d6957bfb7154579ae5f6afde750c3b9325ff532ee652248c28ed5ebdab6ce6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:54.769434Z","signature_b64":"hVzU+yBMrGMeAGbRDbFqpHyeTEPRFJsMAOhLzk9+OPOO8cY49M2qan0fjCuuD0P2L7MkpTaKE5wZEYnlYlafAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2251f1545364b12619fe0318a309a74832768640022e74ab87ea3cc8478a5e0f","last_reissued_at":"2026-05-18T01:38:54.768860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:54.768860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quadratic Algebra associated with Rational Calogero-Moser Models","license":"","headline":"","cross_cats":["cond-mat","math-ph","math.MP","nlin.SI","quant-ph"],"primary_cat":"hep-th","authors_text":"J.-P. Francoise, R. Caseiro, R. Sasaki","submitted_at":"2001-02-22T08:09:50Z","abstract_excerpt":"Classical Calogero-Moser models with rational potential are known to be superintegrable. That is, on top of the r involutive conserved quantities necessary for the integrability of a system with r degrees of freedom, they possess an additional set of r-1 algebraically and functionally independent globally defined conserved quantities. At the quantum level, Kuznetsov uncovered the existence of a quadratic algebra structure as an underlying key for superintegrability for the models based on A type root systems. Here we demonstrate in a universal way the quadratic algebra structure for quantum ra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0102153","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":"hep-th/0102153","created_at":"2026-05-18T01:38:54.768940+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0102153v1","created_at":"2026-05-18T01:38:54.768940+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0102153","created_at":"2026-05-18T01:38:54.768940+00:00"},{"alias_kind":"pith_short_12","alias_value":"EJI7CVCTMSYS","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"EJI7CVCTMSYSMGP6","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"EJI7CVCT","created_at":"2026-05-18T12:25:50.254431+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/EJI7CVCTMSYSMGP6AMMKGCNHJA","json":"https://pith.science/pith/EJI7CVCTMSYSMGP6AMMKGCNHJA.json","graph_json":"https://pith.science/api/pith-number/EJI7CVCTMSYSMGP6AMMKGCNHJA/graph.json","events_json":"https://pith.science/api/pith-number/EJI7CVCTMSYSMGP6AMMKGCNHJA/events.json","paper":"https://pith.science/paper/EJI7CVCT"},"agent_actions":{"view_html":"https://pith.science/pith/EJI7CVCTMSYSMGP6AMMKGCNHJA","download_json":"https://pith.science/pith/EJI7CVCTMSYSMGP6AMMKGCNHJA.json","view_paper":"https://pith.science/paper/EJI7CVCT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0102153&json=true","fetch_graph":"https://pith.science/api/pith-number/EJI7CVCTMSYSMGP6AMMKGCNHJA/graph.json","fetch_events":"https://pith.science/api/pith-number/EJI7CVCTMSYSMGP6AMMKGCNHJA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EJI7CVCTMSYSMGP6AMMKGCNHJA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EJI7CVCTMSYSMGP6AMMKGCNHJA/action/storage_attestation","attest_author":"https://pith.science/pith/EJI7CVCTMSYSMGP6AMMKGCNHJA/action/author_attestation","sign_citation":"https://pith.science/pith/EJI7CVCTMSYSMGP6AMMKGCNHJA/action/citation_signature","submit_replication":"https://pith.science/pith/EJI7CVCTMSYSMGP6AMMKGCNHJA/action/replication_record"}},"created_at":"2026-05-18T01:38:54.768940+00:00","updated_at":"2026-05-18T01:38:54.768940+00:00"}