{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YXLY3OBIMWV5YCSZEV6TUMB6XI","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":"9088d9e6787818db5c7a5dbd89a2c4eadbede84131a948f4f8a5a774764cac24","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-26T19:09:32Z","title_canon_sha256":"480b47b876a2502a118f9ab9f2efaa29fb761ad3d94054fc6fd7467c96d6c9cd"},"schema_version":"1.0","source":{"id":"1301.6280","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6280","created_at":"2026-05-18T01:36:39Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6280v4","created_at":"2026-05-18T01:36:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6280","created_at":"2026-05-18T01:36:39Z"},{"alias_kind":"pith_short_12","alias_value":"YXLY3OBIMWV5","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YXLY3OBIMWV5YCSZ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YXLY3OBI","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:8c37400e5c497472955d948dd7c542ecd46ead6aea92689f0409cb95b9f89ea2","target":"graph","created_at":"2026-05-18T01:36:39Z","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":"This work describes coherent states for a physical system governed by a Hamiltonian operator, in two dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential. The underlying su(1, 1) Lie algebra and Barut-Girardello coherent states are constructed and discussed. Then, the Berezin - Klauder - Toeplitz quantization, also known as coherent state (or anti-Wick) quantization, is discussed. The thermodynamics of such a quantum gas system is elaborated and analyzed.","authors_text":"Ezinvi Balo\\\"itcha, Isiaka Aremua, Mahouton Norbert Hounkonnou","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-26T19:09:32Z","title":"Coherent states for Landau levels: algebraic and thermodynamical properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6280","kind":"arxiv","version":4},"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":"sha256:8972a2ab6ba1829c28dcf2ee95a2e9fa4f5cb3133ad199c123aaef76a600d0c7","target":"record","created_at":"2026-05-18T01:36:39Z","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":"9088d9e6787818db5c7a5dbd89a2c4eadbede84131a948f4f8a5a774764cac24","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-26T19:09:32Z","title_canon_sha256":"480b47b876a2502a118f9ab9f2efaa29fb761ad3d94054fc6fd7467c96d6c9cd"},"schema_version":"1.0","source":{"id":"1301.6280","kind":"arxiv","version":4}},"canonical_sha256":"c5d78db82865abdc0a59257d3a303eba2818e314f1e863c01130961e86355035","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5d78db82865abdc0a59257d3a303eba2818e314f1e863c01130961e86355035","first_computed_at":"2026-05-18T01:36:39.140250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:39.140250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zUKylggpq9VLf7bAxSzdiRc32Wb3ORdYfNC/YKEKU/DDD5AYxoYB/SQXDf5HkZ2XrXQuyUPrjNudfpHSegwtAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:39.140873Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6280","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8972a2ab6ba1829c28dcf2ee95a2e9fa4f5cb3133ad199c123aaef76a600d0c7","sha256:8c37400e5c497472955d948dd7c542ecd46ead6aea92689f0409cb95b9f89ea2"],"state_sha256":"dc30c2aeb41230d2b32a01f603be49e1fd1e0fe74762b1574c83c121026f5c18"}