{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GJGIL3EKVZLH4HCBGDZKMB6A3N","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":"358801b7f2088d38e5a023dae67fa1a6854fe3097b40c57ca175ced33fc3964c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-23T18:04:14Z","title_canon_sha256":"eebdb987af386d4ac318f73d1149bf8d8267f6f4d3969698b14fd026a5f0a961"},"schema_version":"1.0","source":{"id":"1701.06534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06534","created_at":"2026-05-18T00:32:59Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06534v1","created_at":"2026-05-18T00:32:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06534","created_at":"2026-05-18T00:32:59Z"},{"alias_kind":"pith_short_12","alias_value":"GJGIL3EKVZLH","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GJGIL3EKVZLH4HCB","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GJGIL3EK","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:4af3398abd599cef21b9e61f08bbd7aef9de2bdc50bd7057aeaa19f2496b2958","target":"graph","created_at":"2026-05-18T00:32:59Z","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":"We provide a large class of quantum evolution governed by the memory kernel master equation. This class defines quantum analog of so called semi-Markov classical stochastic evolution. In this Letter for the first time we provide a proper definition of quantum semi-Markov evolution and using the appropriate gauge freedom we propose a suitable generalization which contains majority of examples considered so far in the literature. The key concepts are quantum counterparts of classical waiting time distribution and survival probability -- quantum waiting time operator and quantum survival operator","authors_text":"Andrzej Kossakowski, Dariusz Chru\\'sci\\'nski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-23T18:04:14Z","title":"On generalized semi-Markov quantum evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06534","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":"sha256:56294c1b8deb3d88e08130e0cd50dc4a6b9b8c1ef9de021271e2e95e09f04ad1","target":"record","created_at":"2026-05-18T00:32:59Z","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":"358801b7f2088d38e5a023dae67fa1a6854fe3097b40c57ca175ced33fc3964c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-23T18:04:14Z","title_canon_sha256":"eebdb987af386d4ac318f73d1149bf8d8267f6f4d3969698b14fd026a5f0a961"},"schema_version":"1.0","source":{"id":"1701.06534","kind":"arxiv","version":1}},"canonical_sha256":"324c85ec8aae567e1c4130f2a607c0db57ca21e1b2dc62b383fd843e0fae77f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"324c85ec8aae567e1c4130f2a607c0db57ca21e1b2dc62b383fd843e0fae77f7","first_computed_at":"2026-05-18T00:32:59.888842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:59.888842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MCUw7qGb17bk6kbK/Z0AkboEWLKgzE6z+gD+wNi5h4pTq0NPIpkef4Kaz4E77IiA817ZpWOO2e1pbofUVO5zBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:59.889454Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56294c1b8deb3d88e08130e0cd50dc4a6b9b8c1ef9de021271e2e95e09f04ad1","sha256:4af3398abd599cef21b9e61f08bbd7aef9de2bdc50bd7057aeaa19f2496b2958"],"state_sha256":"8fbaccdc657fcadae2e0f0db4cd3719719565e630f04088571ead8c41c18d3e2"}