{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QYZ6RAQZGAETPCMJH7Y2UILXQO","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":"7adc2e1fe2d99769e99daa2e6cc5f2b74230e4b08408faa05cdaabb0c9d6ef61","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-05T15:57:32Z","title_canon_sha256":"0a1dbe7c4ad5f5cd36a5f07057c1cc9245cdceeda936edcdf8a44db18eb76442"},"schema_version":"1.0","source":{"id":"1110.1025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1025","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1025v1","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1025","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"pith_short_12","alias_value":"QYZ6RAQZGAET","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QYZ6RAQZGAETPCMJ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QYZ6RAQZ","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:1b7c1e5003d6909ed46a73609c6119200e7c38257277d331f43785f7cdfc82bb","target":"graph","created_at":"2026-05-18T04:11:39Z","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":"The aim of this paper is to review our results on description of the multi-parameter deformed oscillators and their oscillator algebras. We define generalized (q;\\alpha,\\beta,\\gamma;\\nu)-deformed oscillator algebra and study its irreducible representations. The Arik-Coon oscillator with the main relation aa^+ - q a^+a = 1, where q > 1 is embedded in this framework. We find connection of this oscillator with the Askey (1/q)-Hermite polynomials. We construct family of the generalized coherent states associated with these polynomials and give their explicit expression in terms of standard special","authors_text":"I.M. Burban (BITP, Kyiv)","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-05T15:57:32Z","title":"Generalized deformed oscillators in framework of unified (q;\\alpha,\\beta,\\gamma;\\nu)-deformation and their oscillator algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1025","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:b6693ad3f51107c48aada4c980fb7d66db7c552ac49fe38d825413b9282ee35f","target":"record","created_at":"2026-05-18T04:11:39Z","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":"7adc2e1fe2d99769e99daa2e6cc5f2b74230e4b08408faa05cdaabb0c9d6ef61","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-05T15:57:32Z","title_canon_sha256":"0a1dbe7c4ad5f5cd36a5f07057c1cc9245cdceeda936edcdf8a44db18eb76442"},"schema_version":"1.0","source":{"id":"1110.1025","kind":"arxiv","version":1}},"canonical_sha256":"8633e8821930093789893ff1aa217783a4026e69e5b9dccb8d69d39be5f1d68f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8633e8821930093789893ff1aa217783a4026e69e5b9dccb8d69d39be5f1d68f","first_computed_at":"2026-05-18T04:11:39.980208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:39.980208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NDCWxuG7jeZKUJJuTEAokDVzLkHfOvS1OUUyy+Td+mu/yRZ4PhAHdbWRDWllsvEOOiHX3qsm4D/c53bfYv16Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:39.980696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6693ad3f51107c48aada4c980fb7d66db7c552ac49fe38d825413b9282ee35f","sha256:1b7c1e5003d6909ed46a73609c6119200e7c38257277d331f43785f7cdfc82bb"],"state_sha256":"35a150f9f6567176a50ed128f70bbe1339b2e38ae7243493e671d48317c8df16"}