{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:WZ32IHCIFWW77PSVVFE4QWZL3M","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":"2884f7bdfd5cb521d7ad62c6f1f1ede40abb5629e6ea2331b2da5ea62079bbe1","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-10-04T12:57:52Z","title_canon_sha256":"b6ffe875c9c1c6931e5f5aba8f2de1ede6ade754d5de79fa32fd8d7e30a44b0d"},"schema_version":"1.0","source":{"id":"quant-ph/0410023","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0410023","created_at":"2026-05-18T04:17:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0410023v2","created_at":"2026-05-18T04:17:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0410023","created_at":"2026-05-18T04:17:54Z"},{"alias_kind":"pith_short_12","alias_value":"WZ32IHCIFWW7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"WZ32IHCIFWW77PSV","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"WZ32IHCI","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:5fa62706ebd9346733a8c1d33f2e6b6d86f7f01e55a726136c60635d3f51bcae","target":"graph","created_at":"2026-05-18T04:17:54Z","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":"Angular parts of certain solvable models are studied. We find that an extension of this class may be based on suitable trigonometric identities. The new exactly solvable Hamiltonians are shown to describe interesting two- and three-particle systems of the generalized Calogero, Wolfes and Winternitz-Smorodinsky types.","authors_text":"Euclides Augusto Luis, Frieder Kleefeld, Miloslav Znojil, Vit Jakubsky","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2004-10-04T12:57:52Z","title":"Trigonometric identities, angular Schr\\\"{o}dinger equations and a new family of solvable models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0410023","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":"sha256:162ca1421415d2ea7ce0cde5ea24f5d9c58a73c60672128db4a15bc6491f4bed","target":"record","created_at":"2026-05-18T04:17:54Z","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":"2884f7bdfd5cb521d7ad62c6f1f1ede40abb5629e6ea2331b2da5ea62079bbe1","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-10-04T12:57:52Z","title_canon_sha256":"b6ffe875c9c1c6931e5f5aba8f2de1ede6ade754d5de79fa32fd8d7e30a44b0d"},"schema_version":"1.0","source":{"id":"quant-ph/0410023","kind":"arxiv","version":2}},"canonical_sha256":"b677a41c482dadffbe55a949c85b2bdb3d946fbb27e215089110c9b2b607fda4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b677a41c482dadffbe55a949c85b2bdb3d946fbb27e215089110c9b2b607fda4","first_computed_at":"2026-05-18T04:17:54.211010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:54.211010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hDNrz3Klrr5WOI2vNFUx4hBZmWXS5Wowuq0Z4bnCEK31LykqXBYRIdZD1xfpyWnswV6MOwdzykSMqlCUSuMaAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:54.211578Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0410023","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:162ca1421415d2ea7ce0cde5ea24f5d9c58a73c60672128db4a15bc6491f4bed","sha256:5fa62706ebd9346733a8c1d33f2e6b6d86f7f01e55a726136c60635d3f51bcae"],"state_sha256":"4ce7813ce19b2ef98fea08507814a9b935fcc8c244c7557286036c8975f8d6ba"}