{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:C6CXJ6Z6FRG6UPL3P6UC3UNRH5","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":"9148e774b1be9a417c1643b394e33f637fc69fe98658e5fa9b816c25f3854b3d","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-23T00:57:59Z","title_canon_sha256":"7ebee474c6ccfbfa988a015dd78ef874509c7c39af4d5ecd16f9f81b2694208a"},"schema_version":"1.0","source":{"id":"1206.5346","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5346","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5346v1","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5346","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"C6CXJ6Z6FRG6","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"C6CXJ6Z6FRG6UPL3","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"C6CXJ6Z6","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:bfa6f10d226f2e37f8b676e18ca21e97b104b9db6ac4205512924ba3b16a283f","target":"graph","created_at":"2026-05-18T03:49:11Z","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":"The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex structures are of central importance in many applications of quantum mechanics. The theoretical description, analysis and control of non-Markovian quantum processes play an important role in this context. While in a Markovian process an open system irretrievably loses information to its surroundings, non-Markovian processes feature a flow of information from the e","authors_text":"Heinz-Peter Breuer","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-23T00:57:59Z","title":"Foundations and Measures of Quantum Non-Markovianity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5346","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":"sha256:7a8970a3683465e3ec6b6b64c06cc555715b4f5f95c14a3c5908814879c91c4f","target":"record","created_at":"2026-05-18T03:49:11Z","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":"9148e774b1be9a417c1643b394e33f637fc69fe98658e5fa9b816c25f3854b3d","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-23T00:57:59Z","title_canon_sha256":"7ebee474c6ccfbfa988a015dd78ef874509c7c39af4d5ecd16f9f81b2694208a"},"schema_version":"1.0","source":{"id":"1206.5346","kind":"arxiv","version":1}},"canonical_sha256":"178574fb3e2c4dea3d7b7fa82dd1b13f680e9c988d7daf988eb99b4313142f1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"178574fb3e2c4dea3d7b7fa82dd1b13f680e9c988d7daf988eb99b4313142f1e","first_computed_at":"2026-05-18T03:49:11.532100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:11.532100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HciRY2o4ZRsgWo3BVm73lohbcFAC5fX+PnuunEyrl9a3hbywRRQvWcxxLCKoXh5WDNESd6FhAmrIPiO5S5w5AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:11.532737Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5346","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a8970a3683465e3ec6b6b64c06cc555715b4f5f95c14a3c5908814879c91c4f","sha256:bfa6f10d226f2e37f8b676e18ca21e97b104b9db6ac4205512924ba3b16a283f"],"state_sha256":"83d046a0715a62c5541c8d04d6682819782d13cf7d52a7aeac2fbc906fee2304"}