{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:A5FUEBOYSCBH56DA2UUQUE2VFW","short_pith_number":"pith:A5FUEBOY","canonical_record":{"source":{"id":"1102.1679","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-08T18:27:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9e3f0c10da2fb4e2d1638acdd2696bf74e3c6fe3b96c3a51b85341d8a6663044","abstract_canon_sha256":"be27ce7266a0dd30c761b34e1e4675a0221561a679df3b6d580a7c6cc0793648"},"schema_version":"1.0"},"canonical_sha256":"074b4205d890827ef860d5290a13552db032243ee722377d4607634ef09c3d75","source":{"kind":"arxiv","id":"1102.1679","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:A5FUEBOYSCBH56DA2UUQUE2VFW","target":"record","payload":{"canonical_record":{"source":{"id":"1102.1679","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-08T18:27:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9e3f0c10da2fb4e2d1638acdd2696bf74e3c6fe3b96c3a51b85341d8a6663044","abstract_canon_sha256":"be27ce7266a0dd30c761b34e1e4675a0221561a679df3b6d580a7c6cc0793648"},"schema_version":"1.0"},"canonical_sha256":"074b4205d890827ef860d5290a13552db032243ee722377d4607634ef09c3d75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:24.314052Z","signature_b64":"N0+H6ZVvhith7hrp8uxJ3Vc6ZXNUT7wJ6QIwllwPZvn3pTugRchqcMqO9jRMjWa16iDRhJM3p+IS2XRRpr/eBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"074b4205d890827ef860d5290a13552db032243ee722377d4607634ef09c3d75","last_reissued_at":"2026-05-18T03:56:24.313544Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:24.313544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.1679","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UJSko4ej/XVwe6XhoCfbsI0UyYo4EWup68lmdcg2L/yBvJs5SlNbaZBmqu1tlX0vKsxXH1ZJMkpbPZfdubQ5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:18:37.130616Z"},"content_sha256":"ba963c1707a94d5bf70f846fa669781396a433248b7576de37e1ad0da810b324","schema_version":"1.0","event_id":"sha256:ba963c1707a94d5bf70f846fa669781396a433248b7576de37e1ad0da810b324"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:A5FUEBOYSCBH56DA2UUQUE2VFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The observables of a dissipative quantum system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Dariusz Chru\\'sci\\'nski, Giuseppe Marmo, Paolo Facchi, Saverio Pascazio","submitted_at":"2011-02-08T18:27:22Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1679","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2rL2L9rQAfPIpU4H2D8Kb31Slx7NHqOi/2TLAeETE2iqFxoQgJ1e2zqI8lK6NWDvr2hrTBa5k0Vy27TYeYaGBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:18:37.131251Z"},"content_sha256":"1adb8e66ddc27f20f6d5c8142ea909a1b87903a590492d252aa7977894cd5ae3","schema_version":"1.0","event_id":"sha256:1adb8e66ddc27f20f6d5c8142ea909a1b87903a590492d252aa7977894cd5ae3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5FUEBOYSCBH56DA2UUQUE2VFW/bundle.json","state_url":"https://pith.science/pith/A5FUEBOYSCBH56DA2UUQUE2VFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5FUEBOYSCBH56DA2UUQUE2VFW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T04:18:37Z","links":{"resolver":"https://pith.science/pith/A5FUEBOYSCBH56DA2UUQUE2VFW","bundle":"https://pith.science/pith/A5FUEBOYSCBH56DA2UUQUE2VFW/bundle.json","state":"https://pith.science/pith/A5FUEBOYSCBH56DA2UUQUE2VFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5FUEBOYSCBH56DA2UUQUE2VFW/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LkA20Sz1cDKjSfUygpkjL8YgJbRmpbbnqrQ8XMS77Sg42q7UAyHiJNBcl5lRv4c9C4kjpil4PDw2ocTxKoysAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:18:37.134568Z","bundle_sha256":"6af773025bf31c3ac27329662444baf267918c976051fca51cb8bf91caea1029"}}