{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YBTDH22ZNRJEGMAKZWDZHKJTCN","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":"6b67548144afdb0c75732dc5652d60be19c5fa69c90c6ff97ffb0aba1e30fcdb","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-04T14:03:27Z","title_canon_sha256":"9320461e95f283b2d0614c657295eceb8e32e64ce535e99c504eb30d3827ea3c"},"schema_version":"1.0","source":{"id":"1601.00509","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00509","created_at":"2026-05-18T00:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00509v1","created_at":"2026-05-18T00:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00509","created_at":"2026-05-18T00:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"YBTDH22ZNRJE","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YBTDH22ZNRJEGMAK","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YBTDH22Z","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:20b4a0d39e3b86f10a53f58c19fbafe386f3d64d70fb999bc7bf77d157d43cd0","target":"graph","created_at":"2026-05-18T00:49:19Z","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":"Starting form a microscopic system-environment model, we construct a quantum dynamical semigroup for the reduced evolution of the open system. The difference between the true system dynamics and its approximation by the semigroup has the following two properties: It is (linearly) small in the system-environment coupling constant for all times, and it vanishes exponentially quickly in the large time limit. Our approach is based on the quantum dynamical resonance theory.","authors_text":"Marco Merkli, Martin K\\\"onenberg","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-04T14:03:27Z","title":"Completely positive dynamical semigroups and quantum resonance theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00509","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":"sha256:2861829a5156d56ee853db768d8673469a4443067502ea13d30cc7e6aaaaa8b7","target":"record","created_at":"2026-05-18T00:49:19Z","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":"6b67548144afdb0c75732dc5652d60be19c5fa69c90c6ff97ffb0aba1e30fcdb","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-04T14:03:27Z","title_canon_sha256":"9320461e95f283b2d0614c657295eceb8e32e64ce535e99c504eb30d3827ea3c"},"schema_version":"1.0","source":{"id":"1601.00509","kind":"arxiv","version":1}},"canonical_sha256":"c06633eb596c5243300acd8793a933137ab1e85c1d713966f7999f0e7943cee1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c06633eb596c5243300acd8793a933137ab1e85c1d713966f7999f0e7943cee1","first_computed_at":"2026-05-18T00:49:19.287124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:19.287124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pfV9JWeX3pSihbRPfm7GVcbA4RhQExXG3LuOFyIUm6IdenrA+D6gO+x30DRhSafhwuuUOm3CrDX3NkMPQRlnBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:19.287503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00509","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2861829a5156d56ee853db768d8673469a4443067502ea13d30cc7e6aaaaa8b7","sha256:20b4a0d39e3b86f10a53f58c19fbafe386f3d64d70fb999bc7bf77d157d43cd0"],"state_sha256":"f2c29f649bbaef16bd6a6abc92b9b85fd49ae42ea64ceaba38c59114f1bde32d"}