{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:XORYOWLEIU3QYDHY4TVDFD5MQW","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":"56e03feea62e3e2c9e3c1107178a38d59c49a217dcc962c31aeff56366d9cd06","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.RT","submitted_at":"2004-05-10T20:24:20Z","title_canon_sha256":"36b4e817c801fe6757dfa65c2f963945dd99952a7fe11d45620b86aba207b22a"},"schema_version":"1.0","source":{"id":"math/0405176","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0405176","created_at":"2026-05-18T02:28:13Z"},{"alias_kind":"arxiv_version","alias_value":"math/0405176v4","created_at":"2026-05-18T02:28:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0405176","created_at":"2026-05-18T02:28:13Z"},{"alias_kind":"pith_short_12","alias_value":"XORYOWLEIU3Q","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"XORYOWLEIU3QYDHY","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"XORYOWLE","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:4869cbb7404eb681023c8cf360a0959b70695e1a466f7a15b344bd2c70e23fff","target":"graph","created_at":"2026-05-18T02:28:13Z","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":"A quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash product of the quantum plane with U_q(sl_2). We study its representation theory, and in particular, its category O.","authors_text":"Apoorva Khare, Nicolas Guay, Wee Liang Gan","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"2004-05-10T20:24:20Z","title":"Quantized symplectic oscillator algebras of rank one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0405176","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:ee2ee6b5cc4e101b35ef710b0e5d770a42284619a48b52674ab77c071551a7b9","target":"record","created_at":"2026-05-18T02:28:13Z","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":"56e03feea62e3e2c9e3c1107178a38d59c49a217dcc962c31aeff56366d9cd06","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.RT","submitted_at":"2004-05-10T20:24:20Z","title_canon_sha256":"36b4e817c801fe6757dfa65c2f963945dd99952a7fe11d45620b86aba207b22a"},"schema_version":"1.0","source":{"id":"math/0405176","kind":"arxiv","version":4}},"canonical_sha256":"bba387596445370c0cf8e4ea328fac85836c400edb237c2dc7faf42c3638e2b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bba387596445370c0cf8e4ea328fac85836c400edb237c2dc7faf42c3638e2b8","first_computed_at":"2026-05-18T02:28:13.767383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:13.767383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZIjW4M/P8n5O93xEDqfaMPGh66cLTJ3GU4RHaD3nQHKMgsWcE42Fwv4DDPPRB0sDg9JsVO1qBsK/x1hVJ1xqCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:13.767993Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0405176","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee2ee6b5cc4e101b35ef710b0e5d770a42284619a48b52674ab77c071551a7b9","sha256:4869cbb7404eb681023c8cf360a0959b70695e1a466f7a15b344bd2c70e23fff"],"state_sha256":"27d5d39e19d654e5c90408b6ac340c3e14348b318bf2a099e7ff647fefd5b336"}