{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WZIO2ZUH722POLNWOQC4SYHKWX","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":"4a35585bcf3a1daad5d140161ada0aa1a0e9ea26038219d6c7576f7b8e720cf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-14T16:51:00Z","title_canon_sha256":"0789414a43fbddb28c79d6c8ed184906ea8e4bcc7cf180b498151fc5a8a67c2f"},"schema_version":"1.0","source":{"id":"1006.2764","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.2764","created_at":"2026-07-04T17:30:27Z"},{"alias_kind":"arxiv_version","alias_value":"1006.2764v1","created_at":"2026-07-04T17:30:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2764","created_at":"2026-07-04T17:30:27Z"},{"alias_kind":"pith_short_12","alias_value":"WZIO2ZUH722P","created_at":"2026-07-04T17:30:27Z"},{"alias_kind":"pith_short_16","alias_value":"WZIO2ZUH722POLNW","created_at":"2026-07-04T17:30:27Z"},{"alias_kind":"pith_short_8","alias_value":"WZIO2ZUH","created_at":"2026-07-04T17:30:27Z"}],"graph_snapshots":[{"event_id":"sha256:a26ac4aba0893cb1cc310470fb372f26a4b06541ef34710d77f1db071402b954","target":"graph","created_at":"2026-07-04T17:30:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1006.2764/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a complete treatment of a local in time dynamics of open quantum systems. In this approach Markovian evolution turns out to be a special case of a general non-Markovian one. We provide a general representation of the local generator which generalizes well known Lindblad representation for the Markovian dynamics. It shows that the structure of non-Markovian generators is highly intricate and the problem of their classification is still open. Simple examples illustrate our approach.","authors_text":"Andrzej Kossakowski, Dariusz Chruscinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-14T16:51:00Z","title":"General form of quantum evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2764","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":"sha256:490c46b8e93f21b157fdeda8408ac76bc84a3246be6a3d229b17a352f870ddae","target":"record","created_at":"2026-07-04T17:30:27Z","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":"4a35585bcf3a1daad5d140161ada0aa1a0e9ea26038219d6c7576f7b8e720cf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-14T16:51:00Z","title_canon_sha256":"0789414a43fbddb28c79d6c8ed184906ea8e4bcc7cf180b498151fc5a8a67c2f"},"schema_version":"1.0","source":{"id":"1006.2764","kind":"arxiv","version":1}},"canonical_sha256":"b650ed6687feb4f72db67405c960eab5e8ad7612fb51bdc0bdf4a58a45e4f736","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b650ed6687feb4f72db67405c960eab5e8ad7612fb51bdc0bdf4a58a45e4f736","first_computed_at":"2026-07-04T17:30:27.787270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:30:27.787270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sOuwAD54twMF48FSIyvO9zcoZxiptiimmfkZEQ6Qnl3bG8y2QK5VdFvzXeE11vPB3rbpQ+LPhrqL9o5D+OoDAg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:30:27.787699Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.2764","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:490c46b8e93f21b157fdeda8408ac76bc84a3246be6a3d229b17a352f870ddae","sha256:a26ac4aba0893cb1cc310470fb372f26a4b06541ef34710d77f1db071402b954"],"state_sha256":"3afb269e5c5f2643fae906ce71c36b4e6cb01e0130395ac75a27f9e11b1493b5"}