{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FXDH7J7WDBE45UYFGGFS5R2IEY","short_pith_number":"pith:FXDH7J7W","canonical_record":{"source":{"id":"1302.6218","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-25T20:40:26Z","cross_cats_sorted":[],"title_canon_sha256":"faeac2c33aa236888b3a9284a762157e9984ed179c41499eeb5a36dfc4cdab3b","abstract_canon_sha256":"dbfd80a36ca318d706a2aeef9f811af629d70de5db35d137e8e2655c01022b8b"},"schema_version":"1.0"},"canonical_sha256":"2dc67fa7f61849ced305318b2ec748262fddce5c0d02ebcdac1ffa9cd33dfd12","source":{"kind":"arxiv","id":"1302.6218","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6218","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6218v3","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6218","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"pith_short_12","alias_value":"FXDH7J7WDBE4","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FXDH7J7WDBE45UYF","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FXDH7J7W","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FXDH7J7WDBE45UYFGGFS5R2IEY","target":"record","payload":{"canonical_record":{"source":{"id":"1302.6218","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-25T20:40:26Z","cross_cats_sorted":[],"title_canon_sha256":"faeac2c33aa236888b3a9284a762157e9984ed179c41499eeb5a36dfc4cdab3b","abstract_canon_sha256":"dbfd80a36ca318d706a2aeef9f811af629d70de5db35d137e8e2655c01022b8b"},"schema_version":"1.0"},"canonical_sha256":"2dc67fa7f61849ced305318b2ec748262fddce5c0d02ebcdac1ffa9cd33dfd12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:06.131020Z","signature_b64":"76cDa4Zb5TAW23AGZIBN8eDWwJf3DMTepNGnakZVoVoxwnbcEWG67IlQZwqHjrzjB4M+hxhh8vEJsFk8xkhUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dc67fa7f61849ced305318b2ec748262fddce5c0d02ebcdac1ffa9cd33dfd12","last_reissued_at":"2026-05-18T03:16:06.130562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:06.130562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.6218","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:16:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eoNpFD+V1Dn1SEwSQpG8XQgNTSHxMWAKiel3HEVIEr7cuWCO0Xzx0GY0iQKpO9f5vtCMC9KiJwzXk18mIAcuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:13:28.654490Z"},"content_sha256":"5ef807173202e1364bedd5c380a9ccc990963dcb8ff4de51580e2bb082d31aa2","schema_version":"1.0","event_id":"sha256:5ef807173202e1364bedd5c380a9ccc990963dcb8ff4de51580e2bb082d31aa2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FXDH7J7WDBE45UYFGGFS5R2IEY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Feshbach projection formalism for open quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andrzej Kossakowski, Dariusz Chru\\'sci\\'nski","submitted_at":"2013-02-25T20:40:26Z","abstract_excerpt":"We provide a new approach to open quantum systems which is based on the Feshbach projection method in an appropriate Hilbert space. Instead of looking for a master equation for the dynamical map acting in the space of density operators we provide the corresponding equation for the evolution in the Hilbert space of the system. Its solution enables one to construct a legitimate quantum evolution (completely positive and trace preserving). The big advantage of this approach is the ability of performing a consistent approximation which creates notorious problems in the standard Nakajima-Zwanzig ap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6218","kind":"arxiv","version":3},"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":"2026-05-18T03:16:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Uump9bpBk8uQpng1ofNy5ZkbsPG4tBDZUHNaP/SosZiBhZH+Lhw17ZKepYo6e3LyKVjPpQ3qjZ9HqdO/WGmCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:13:28.655143Z"},"content_sha256":"d037cf9012c0e4484665f1d2c2dd440dba4100f1336a946d12788e6923ca1e38","schema_version":"1.0","event_id":"sha256:d037cf9012c0e4484665f1d2c2dd440dba4100f1336a946d12788e6923ca1e38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FXDH7J7WDBE45UYFGGFS5R2IEY/bundle.json","state_url":"https://pith.science/pith/FXDH7J7WDBE45UYFGGFS5R2IEY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FXDH7J7WDBE45UYFGGFS5R2IEY/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":"2026-05-31T07:13:28Z","links":{"resolver":"https://pith.science/pith/FXDH7J7WDBE45UYFGGFS5R2IEY","bundle":"https://pith.science/pith/FXDH7J7WDBE45UYFGGFS5R2IEY/bundle.json","state":"https://pith.science/pith/FXDH7J7WDBE45UYFGGFS5R2IEY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FXDH7J7WDBE45UYFGGFS5R2IEY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FXDH7J7WDBE45UYFGGFS5R2IEY","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":"dbfd80a36ca318d706a2aeef9f811af629d70de5db35d137e8e2655c01022b8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-25T20:40:26Z","title_canon_sha256":"faeac2c33aa236888b3a9284a762157e9984ed179c41499eeb5a36dfc4cdab3b"},"schema_version":"1.0","source":{"id":"1302.6218","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6218","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6218v3","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6218","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"pith_short_12","alias_value":"FXDH7J7WDBE4","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FXDH7J7WDBE45UYF","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FXDH7J7W","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:d037cf9012c0e4484665f1d2c2dd440dba4100f1336a946d12788e6923ca1e38","target":"graph","created_at":"2026-05-18T03:16:06Z","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 new approach to open quantum systems which is based on the Feshbach projection method in an appropriate Hilbert space. Instead of looking for a master equation for the dynamical map acting in the space of density operators we provide the corresponding equation for the evolution in the Hilbert space of the system. Its solution enables one to construct a legitimate quantum evolution (completely positive and trace preserving). The big advantage of this approach is the ability of performing a consistent approximation which creates notorious problems in the standard Nakajima-Zwanzig ap","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":"2013-02-25T20:40:26Z","title":"Feshbach projection formalism for open quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6218","kind":"arxiv","version":3},"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":"sha256:5ef807173202e1364bedd5c380a9ccc990963dcb8ff4de51580e2bb082d31aa2","target":"record","created_at":"2026-05-18T03:16:06Z","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":"dbfd80a36ca318d706a2aeef9f811af629d70de5db35d137e8e2655c01022b8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-25T20:40:26Z","title_canon_sha256":"faeac2c33aa236888b3a9284a762157e9984ed179c41499eeb5a36dfc4cdab3b"},"schema_version":"1.0","source":{"id":"1302.6218","kind":"arxiv","version":3}},"canonical_sha256":"2dc67fa7f61849ced305318b2ec748262fddce5c0d02ebcdac1ffa9cd33dfd12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dc67fa7f61849ced305318b2ec748262fddce5c0d02ebcdac1ffa9cd33dfd12","first_computed_at":"2026-05-18T03:16:06.130562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:06.130562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"76cDa4Zb5TAW23AGZIBN8eDWwJf3DMTepNGnakZVoVoxwnbcEWG67IlQZwqHjrzjB4M+hxhh8vEJsFk8xkhUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:06.131020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6218","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ef807173202e1364bedd5c380a9ccc990963dcb8ff4de51580e2bb082d31aa2","sha256:d037cf9012c0e4484665f1d2c2dd440dba4100f1336a946d12788e6923ca1e38"],"state_sha256":"0812c86e672437af273b0a6e48a2c7505b1e87f5bb6d1f7fe8a0f4fafd980036"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IJxOfydW0LSwbv/H3N0eDjEjaxqX0t7x4d5D2k6erjI32z+XsF3Shmm71YbNZV/OrCCYznILGDugOBZ1+6MsCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:13:28.658225Z","bundle_sha256":"89af545603f51574a52c283b4c022d1ba69b7402a62301dec36d8b45ff6ececb"}}