{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:PLND3BA47Y24KQXFGWBZAJ2NA4","short_pith_number":"pith:PLND3BA4","schema_version":"1.0","canonical_sha256":"7ada3d841cfe35c542e5358390274d073cf93fab86ab25bb677dd9553c8c138d","source":{"kind":"arxiv","id":"0912.3468","version":2},"attestation_state":"computed","paper":{"title":"Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Antal Jevicki, In\\^es Aniceto, Jean Avan","submitted_at":"2009-12-17T18:18:15Z","abstract_excerpt":"We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integrable models. We propose explicit formulations of the bihamiltonian structures for the discrete models, and field-theoretical realizations of these structures. We discuss the relevance of these realizations as collective-field theory for the discrete models."},"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":"0912.3468","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-12-17T18:18:15Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"0a1cbace902b80d6c1840dc947656d54f93144041aa59c56c93ccc8857c346dd","abstract_canon_sha256":"dae857a420168e3bd8153956897d0ffe01dd606ba18b166b98d8fbd486003efe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:56.151520Z","signature_b64":"mrtpts9nsCAwes2OVdtadmcfDFbOabL5WkM0N676o/QJREzKd+rPcgxkh9+VcW2fzMu7+Vz0KLbNbqTURSlfCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ada3d841cfe35c542e5358390274d073cf93fab86ab25bb677dd9553c8c138d","last_reissued_at":"2026-05-18T02:33:56.151141Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:56.151141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Antal Jevicki, In\\^es Aniceto, Jean Avan","submitted_at":"2009-12-17T18:18:15Z","abstract_excerpt":"We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integrable models. We propose explicit formulations of the bihamiltonian structures for the discrete models, and field-theoretical realizations of these structures. We discuss the relevance of these realizations as collective-field theory for the discrete models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3468","kind":"arxiv","version":2},"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":"0912.3468","created_at":"2026-05-18T02:33:56.151198+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.3468v2","created_at":"2026-05-18T02:33:56.151198+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3468","created_at":"2026-05-18T02:33:56.151198+00:00"},{"alias_kind":"pith_short_12","alias_value":"PLND3BA47Y24","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PLND3BA47Y24KQXF","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PLND3BA4","created_at":"2026-05-18T12:26:01.383474+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/PLND3BA47Y24KQXFGWBZAJ2NA4","json":"https://pith.science/pith/PLND3BA47Y24KQXFGWBZAJ2NA4.json","graph_json":"https://pith.science/api/pith-number/PLND3BA47Y24KQXFGWBZAJ2NA4/graph.json","events_json":"https://pith.science/api/pith-number/PLND3BA47Y24KQXFGWBZAJ2NA4/events.json","paper":"https://pith.science/paper/PLND3BA4"},"agent_actions":{"view_html":"https://pith.science/pith/PLND3BA47Y24KQXFGWBZAJ2NA4","download_json":"https://pith.science/pith/PLND3BA47Y24KQXFGWBZAJ2NA4.json","view_paper":"https://pith.science/paper/PLND3BA4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.3468&json=true","fetch_graph":"https://pith.science/api/pith-number/PLND3BA47Y24KQXFGWBZAJ2NA4/graph.json","fetch_events":"https://pith.science/api/pith-number/PLND3BA47Y24KQXFGWBZAJ2NA4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PLND3BA47Y24KQXFGWBZAJ2NA4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PLND3BA47Y24KQXFGWBZAJ2NA4/action/storage_attestation","attest_author":"https://pith.science/pith/PLND3BA47Y24KQXFGWBZAJ2NA4/action/author_attestation","sign_citation":"https://pith.science/pith/PLND3BA47Y24KQXFGWBZAJ2NA4/action/citation_signature","submit_replication":"https://pith.science/pith/PLND3BA47Y24KQXFGWBZAJ2NA4/action/replication_record"}},"created_at":"2026-05-18T02:33:56.151198+00:00","updated_at":"2026-05-18T02:33:56.151198+00:00"}