{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6FRT3PCK4SPL6IGBDNANGGXHQ2","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":"ed1fb8fb6465f666b2d1a2687c1948c6c3219b139310fba83f66914354cc14b3","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-08-31T16:53:15Z","title_canon_sha256":"f22cd5e57bedaecce98dc8b71d9702096a5a8fff9032fd0bb04873a82e12ed82"},"schema_version":"1.0","source":{"id":"1208.6548","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.6548","created_at":"2026-05-18T02:48:55Z"},{"alias_kind":"arxiv_version","alias_value":"1208.6548v1","created_at":"2026-05-18T02:48:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6548","created_at":"2026-05-18T02:48:55Z"},{"alias_kind":"pith_short_12","alias_value":"6FRT3PCK4SPL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6FRT3PCK4SPL6IGB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6FRT3PCK","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:d3d392de753692610ccf2f9d0aded5d581089100bd2059567f81ba6f4a042db9","target":"graph","created_at":"2026-05-18T02:48:55Z","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":"To a continuous action of a vector group on a $C^*$-algebra, twisted by the imaginary exponential of a symplectic form, one associates a Rieffel deformed algebra as well as a twisted crossed product. We show that the second one is isomorphic to the tensor product of the first one with the $C^*$-algebra of compact operators in a separable Hilbert space and we indicate some applications.","authors_text":"I. Beltita, M. Mantoiu","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-08-31T16:53:15Z","title":"Rieffel deformation and twisted crossed products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6548","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":"sha256:95f17878683a4db21a7eb074d308ede9925098231ad1331c3a05eea1eb1e12bf","target":"record","created_at":"2026-05-18T02:48:55Z","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":"ed1fb8fb6465f666b2d1a2687c1948c6c3219b139310fba83f66914354cc14b3","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-08-31T16:53:15Z","title_canon_sha256":"f22cd5e57bedaecce98dc8b71d9702096a5a8fff9032fd0bb04873a82e12ed82"},"schema_version":"1.0","source":{"id":"1208.6548","kind":"arxiv","version":1}},"canonical_sha256":"f1633dbc4ae49ebf20c11b40d31ae78690343bd9a1409d8006fcd29c403cc7c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1633dbc4ae49ebf20c11b40d31ae78690343bd9a1409d8006fcd29c403cc7c1","first_computed_at":"2026-05-18T02:48:55.095784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:55.095784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hn5YuvMzbbSYuaYsGIG+uAxwcWWHrRgY/YSthfF98mbzDw9GS9fDitqxyK518NXJNsqbj3J0V7SjLwPG6PAbBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:55.096416Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.6548","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95f17878683a4db21a7eb074d308ede9925098231ad1331c3a05eea1eb1e12bf","sha256:d3d392de753692610ccf2f9d0aded5d581089100bd2059567f81ba6f4a042db9"],"state_sha256":"f4d4d94278cfa178534ea3fdf06f71cbd2f637f159bf5b59de6d901aa74bed84"}