{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QDEMQIFMQ7WY4ASJEG5YU2KEB4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9d4bf2c2b7284001caabaaa948c977012dc9c8e0e453787a9ba7dc19b17290ae","cross_cats_sorted":["math-ph","math.CA","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-05-21T08:59:36Z","title_canon_sha256":"c7370022ee0fc75cc3fd23e1940d8004097087484ca6826c380cc432518f26b6"},"schema_version":"1.0","source":{"id":"1305.4759","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4759","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4759v2","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4759","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"pith_short_12","alias_value":"QDEMQIFMQ7WY","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QDEMQIFMQ7WY4ASJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QDEMQIFM","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:2de206c10b2fe23d4f429f190a26ccbbf1fa1f2a132e4c7cd2f3879443340f76","target":"graph","created_at":"2026-05-18T02:41:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We obtain symmetric joint eigenfunctions for the commuting PDOs associated to the hyperbolic Calogero-Moser N-particle system. The eigenfunctions are constructed via a recursion scheme, which leads to representations by multidimensional integrals whose integrands are elementary functions. We also tie in these eigenfunctions with the Heckman-Opdam hypergeometric function for the root system A_{N-1}.","authors_text":"Martin Halln\\\"as, Simon Ruijsenaars","cross_cats":["math-ph","math.CA","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-05-21T08:59:36Z","title":"A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4759","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:74aeea349e4024544bdcf0ac4b0453b58deb859495a70ef7d4ca7e5812a6d34c","target":"record","created_at":"2026-05-18T02:41:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9d4bf2c2b7284001caabaaa948c977012dc9c8e0e453787a9ba7dc19b17290ae","cross_cats_sorted":["math-ph","math.CA","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-05-21T08:59:36Z","title_canon_sha256":"c7370022ee0fc75cc3fd23e1940d8004097087484ca6826c380cc432518f26b6"},"schema_version":"1.0","source":{"id":"1305.4759","kind":"arxiv","version":2}},"canonical_sha256":"80c8c820ac87ed8e024921bb8a69440f0d3f5c963111f3c6acb3534195d8f1f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80c8c820ac87ed8e024921bb8a69440f0d3f5c963111f3c6acb3534195d8f1f7","first_computed_at":"2026-05-18T02:41:17.222376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:17.222376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ISTc8B1rSujum8k8IUZx/D+DMOd1LSisj8uxV6tz6PldPczqKDl1xxpVakexhHldj+Ftk6qbnf8WRTrjtBqZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:17.222896Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4759","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74aeea349e4024544bdcf0ac4b0453b58deb859495a70ef7d4ca7e5812a6d34c","sha256:2de206c10b2fe23d4f429f190a26ccbbf1fa1f2a132e4c7cd2f3879443340f76"],"state_sha256":"c674ccbba24da9b78af878ed925eca26583e47962fe2fa5cd2b1b7d0709007e4"}