{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:A5FUEBOYSCBH56DA2UUQUE2VFW","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":"be27ce7266a0dd30c761b34e1e4675a0221561a679df3b6d580a7c6cc0793648","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-08T18:27:22Z","title_canon_sha256":"9e3f0c10da2fb4e2d1638acdd2696bf74e3c6fe3b96c3a51b85341d8a6663044"},"schema_version":"1.0","source":{"id":"1102.1679","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1679","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1679v1","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1679","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"pith_short_12","alias_value":"A5FUEBOYSCBH","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"A5FUEBOYSCBH56DA","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"A5FUEBOY","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:1adb8e66ddc27f20f6d5c8142ea909a1b87903a590492d252aa7977894cd5ae3","target":"graph","created_at":"2026-05-18T03:56:24Z","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 time-dependent product is introduced between the observables of a dissipative quantum system, that accounts for the effects of dissipation on observables and commutators. In the $t \\to \\infty$ limit this yields a contracted algebra. The general ideas are corroborated by a few explicit examples.","authors_text":"Dariusz Chru\\'sci\\'nski, Giuseppe Marmo, Paolo Facchi, Saverio Pascazio","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-08T18:27:22Z","title":"The observables of a dissipative quantum system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1679","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:ba963c1707a94d5bf70f846fa669781396a433248b7576de37e1ad0da810b324","target":"record","created_at":"2026-05-18T03:56:24Z","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":"be27ce7266a0dd30c761b34e1e4675a0221561a679df3b6d580a7c6cc0793648","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-08T18:27:22Z","title_canon_sha256":"9e3f0c10da2fb4e2d1638acdd2696bf74e3c6fe3b96c3a51b85341d8a6663044"},"schema_version":"1.0","source":{"id":"1102.1679","kind":"arxiv","version":1}},"canonical_sha256":"074b4205d890827ef860d5290a13552db032243ee722377d4607634ef09c3d75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"074b4205d890827ef860d5290a13552db032243ee722377d4607634ef09c3d75","first_computed_at":"2026-05-18T03:56:24.313544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:24.313544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N0+H6ZVvhith7hrp8uxJ3Vc6ZXNUT7wJ6QIwllwPZvn3pTugRchqcMqO9jRMjWa16iDRhJM3p+IS2XRRpr/eBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:24.314052Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1679","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba963c1707a94d5bf70f846fa669781396a433248b7576de37e1ad0da810b324","sha256:1adb8e66ddc27f20f6d5c8142ea909a1b87903a590492d252aa7977894cd5ae3"],"state_sha256":"f6b09d7549f371f735e4b0115b403d8d0ae43f4884df9a4cdc076ecbf45d9d29"}