{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:VPSAH5KLVVXS6Y4K5W35SMUZ4W","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":"9f73cde5e3e44d83589b6cacb0e98b309ad149e2191bbf9de2a78ad32dd3e132","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"","primary_cat":"math-ph","submitted_at":"2004-11-16T14:51:15Z","title_canon_sha256":"04a34b2a29138b266549a88d74cf0c3c2ce9ce09cb387dc0bb507bd744220686"},"schema_version":"1.0","source":{"id":"math-ph/0411054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0411054","created_at":"2026-05-18T04:17:54Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0411054v1","created_at":"2026-05-18T04:17:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0411054","created_at":"2026-05-18T04:17:54Z"},{"alias_kind":"pith_short_12","alias_value":"VPSAH5KLVVXS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"VPSAH5KLVVXS6Y4K","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"VPSAH5KL","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:e27f67a051e481e51ca346fa85e06e85001e0c2b8dbc422900461b6e7c6c815a","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":"Exactly solvable model of the quantum isotropic three-dimensional singular oscillator in the relativistic configurational $\\vec r$-space is proposed. We have found the radial wavefunctions, which are expressed through the continuous dual Hahn polynomials and energy spectrum for the model under consideration. It is shown that they have the correct non-relativistic limits.","authors_text":"E.I. Jafarov, L. Homorodean, R.M. Imanov, S.M. Nagiyev","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2004-11-16T14:51:15Z","title":"A relativistic model of the isotropic three-dimensional singular oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0411054","kind":"arxiv","version":1},"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":"sha256:3f34b1039c70f5d2b7799ed3dee0a05443b5689a2105d0c5f0f4440a011da27a","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":"9f73cde5e3e44d83589b6cacb0e98b309ad149e2191bbf9de2a78ad32dd3e132","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"","primary_cat":"math-ph","submitted_at":"2004-11-16T14:51:15Z","title_canon_sha256":"04a34b2a29138b266549a88d74cf0c3c2ce9ce09cb387dc0bb507bd744220686"},"schema_version":"1.0","source":{"id":"math-ph/0411054","kind":"arxiv","version":1}},"canonical_sha256":"abe403f54bad6f2f638aedb7d93299e581b16201e7e276ed27afc10f45d4d04b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abe403f54bad6f2f638aedb7d93299e581b16201e7e276ed27afc10f45d4d04b","first_computed_at":"2026-05-18T04:17:54.563935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:54.563935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2w8feMvUgWDCXyJo/VmP/sCD0lyccMQy6JGm6uMbke5jd+z0ZvvTGId50QPZCS9hjcCPoJv0x2Sovx66BfL3CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:54.564451Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0411054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f34b1039c70f5d2b7799ed3dee0a05443b5689a2105d0c5f0f4440a011da27a","sha256:e27f67a051e481e51ca346fa85e06e85001e0c2b8dbc422900461b6e7c6c815a"],"state_sha256":"c9ee928522eb5287ffaa933faf96e27cfe4d2b54a9a3a61d29ca50bbeda1fd89"}