{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2HLYNBZCT2SXV5KTHDWDRGCGF3","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":"bda559f47e2f4a598698952e83811bca9fec59e7793ee41be21040b1ee7ca979","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-20T09:56:48Z","title_canon_sha256":"720ea3a35784511ef794473f5a9386dfb6cf3df06a7ef314039cc57ff68ae061"},"schema_version":"1.0","source":{"id":"1205.4401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4401","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4401v1","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4401","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"pith_short_12","alias_value":"2HLYNBZCT2SX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2HLYNBZCT2SXV5KT","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2HLYNBZC","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:3c96298850c8832f64ca1fdff24ae6a98c411a6646c03f10e1a3c2590917fc55","target":"graph","created_at":"2026-05-18T03:55:13Z","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":"In a previous paper [{\\it J. Phys. A: Math. Theor.} {\\bf 40} (2007) 11105], we constructed a class of coherent states for a polynomially deformed $su(2)$ algebra. In this paper, we first prepare the discrete representations of the nonlinearly deformed $su(1,1)$ algebra. Then we extend the previous procedure to construct a discrete class of coherent states for a polynomial su(1,1) algebra which contains the Barut-Girardello set and the Perelomov set of the SU(1,1) coherent states as special cases. We also construct coherent states for the cubic algebra related to the conditionally solvable radi","authors_text":"Akira Inomata, Georg Junker, Muhammad Sadiq","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-20T09:56:48Z","title":"Coherent states for polynomial su(1,1) algebra and a conditionally solvable system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4401","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":"sha256:44301a8232adf0195a433aae3262669fc1ac63db46c05f5083cd937f906909a1","target":"record","created_at":"2026-05-18T03:55:13Z","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":"bda559f47e2f4a598698952e83811bca9fec59e7793ee41be21040b1ee7ca979","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-20T09:56:48Z","title_canon_sha256":"720ea3a35784511ef794473f5a9386dfb6cf3df06a7ef314039cc57ff68ae061"},"schema_version":"1.0","source":{"id":"1205.4401","kind":"arxiv","version":1}},"canonical_sha256":"d1d78687229ea57af55338ec3898462ef31ecdef4506db76c5454794ae1f2727","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1d78687229ea57af55338ec3898462ef31ecdef4506db76c5454794ae1f2727","first_computed_at":"2026-05-18T03:55:13.275754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:13.275754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pek9apON58VcOXfnRlS9ygBAwFc+5G8kyRIb9o5kW1EpHxckntHEiV/uHGvEAi5RFOMAVKZiPDGp9zno3lA1BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:13.276241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44301a8232adf0195a433aae3262669fc1ac63db46c05f5083cd937f906909a1","sha256:3c96298850c8832f64ca1fdff24ae6a98c411a6646c03f10e1a3c2590917fc55"],"state_sha256":"71cce31ea6a02982cd30dd1444b115abaf859fd2fa931c10825b8309a779c2c2"}