{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:G3VLUJZMBQ4XMBEZEQPDOGKKAO","short_pith_number":"pith:G3VLUJZM","canonical_record":{"source":{"id":"1605.08521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-27T07:15:07Z","cross_cats_sorted":[],"title_canon_sha256":"50676b7500e22a74ee7ea3be544c1b02f4790ce854df5507c580668b01a99b28","abstract_canon_sha256":"8998a35b84bc8ce75dd9489277f7839321fe9800902d1b61ecec1c2899e89076"},"schema_version":"1.0"},"canonical_sha256":"36eaba272c0c39760499241e37194a03b515e947d3988e10fb647608040f0faf","source":{"kind":"arxiv","id":"1605.08521","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08521","created_at":"2026-05-18T01:02:12Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08521v2","created_at":"2026-05-18T01:02:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08521","created_at":"2026-05-18T01:02:12Z"},{"alias_kind":"pith_short_12","alias_value":"G3VLUJZMBQ4X","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"G3VLUJZMBQ4XMBEZ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"G3VLUJZM","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:G3VLUJZMBQ4XMBEZEQPDOGKKAO","target":"record","payload":{"canonical_record":{"source":{"id":"1605.08521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-27T07:15:07Z","cross_cats_sorted":[],"title_canon_sha256":"50676b7500e22a74ee7ea3be544c1b02f4790ce854df5507c580668b01a99b28","abstract_canon_sha256":"8998a35b84bc8ce75dd9489277f7839321fe9800902d1b61ecec1c2899e89076"},"schema_version":"1.0"},"canonical_sha256":"36eaba272c0c39760499241e37194a03b515e947d3988e10fb647608040f0faf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:12.746141Z","signature_b64":"zpS63iE6MoFF7Wzj4uY7JIEXi58NQLdgTRcMuSIOq8N4IF1085oN2Bir4AA3jQ8PqnaYMRvz3Xj96oONmv3LAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36eaba272c0c39760499241e37194a03b515e947d3988e10fb647608040f0faf","last_reissued_at":"2026-05-18T01:02:12.744770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:12.744770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.08521","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:02:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgjtqlyYYs0zEdrTKF35ZWMZE6xxTABKSCcXKG1LOvQE6BZMQOjgdlxzz5fInedM3+ebHIGImjtFFyhclbQQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:28:01.710785Z"},"content_sha256":"6e5997ddb4e7237d3b16659cd610d1376c7c5897a68973af2121619026f62ad9","schema_version":"1.0","event_id":"sha256:6e5997ddb4e7237d3b16659cd610d1376c7c5897a68973af2121619026f62ad9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:G3VLUJZMBQ4XMBEZEQPDOGKKAO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact homogeneous master equation for open quantum systems incorporating initial correlations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Pei-Yun Yang, Wei-Min Zhang","submitted_at":"2016-05-27T07:15:07Z","abstract_excerpt":"We show that the exact master equation incorporating initial correlations for open quantum systems, within the Nakajima-Zwanzig operator-projection method, is a homegenous master equation for the reduced density matrix. We also derive explicitly the exact master equation for a large class of bosonic and fermionic open quantum systems incorporating initial correlations, the resulting master equation is homogenous. We find that the effects of the initial correlations can be fully embedded into the fluctuation dynamics through the exact homogenous master equation. Also a generalized nonequilibriu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08521","kind":"arxiv","version":2},"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":"2026-05-18T01:02:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vJehqZY2p9EjOLoAWNlcvhWPkgsE5CRqrj4vG8qPqAzQnXzmUgxWfPEI3KMAmHudVFrdkWrzEZTvyI1MoGSpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:28:01.711431Z"},"content_sha256":"9e706d51428e237ea38ec65e69f5449cb73ad87247b610bbd6ee9cf634d1eee5","schema_version":"1.0","event_id":"sha256:9e706d51428e237ea38ec65e69f5449cb73ad87247b610bbd6ee9cf634d1eee5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G3VLUJZMBQ4XMBEZEQPDOGKKAO/bundle.json","state_url":"https://pith.science/pith/G3VLUJZMBQ4XMBEZEQPDOGKKAO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G3VLUJZMBQ4XMBEZEQPDOGKKAO/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":"2026-06-06T16:28:01Z","links":{"resolver":"https://pith.science/pith/G3VLUJZMBQ4XMBEZEQPDOGKKAO","bundle":"https://pith.science/pith/G3VLUJZMBQ4XMBEZEQPDOGKKAO/bundle.json","state":"https://pith.science/pith/G3VLUJZMBQ4XMBEZEQPDOGKKAO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G3VLUJZMBQ4XMBEZEQPDOGKKAO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:G3VLUJZMBQ4XMBEZEQPDOGKKAO","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":"8998a35b84bc8ce75dd9489277f7839321fe9800902d1b61ecec1c2899e89076","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-27T07:15:07Z","title_canon_sha256":"50676b7500e22a74ee7ea3be544c1b02f4790ce854df5507c580668b01a99b28"},"schema_version":"1.0","source":{"id":"1605.08521","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08521","created_at":"2026-05-18T01:02:12Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08521v2","created_at":"2026-05-18T01:02:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08521","created_at":"2026-05-18T01:02:12Z"},{"alias_kind":"pith_short_12","alias_value":"G3VLUJZMBQ4X","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"G3VLUJZMBQ4XMBEZ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"G3VLUJZM","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:9e706d51428e237ea38ec65e69f5449cb73ad87247b610bbd6ee9cf634d1eee5","target":"graph","created_at":"2026-05-18T01:02:12Z","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 show that the exact master equation incorporating initial correlations for open quantum systems, within the Nakajima-Zwanzig operator-projection method, is a homegenous master equation for the reduced density matrix. We also derive explicitly the exact master equation for a large class of bosonic and fermionic open quantum systems incorporating initial correlations, the resulting master equation is homogenous. We find that the effects of the initial correlations can be fully embedded into the fluctuation dynamics through the exact homogenous master equation. Also a generalized nonequilibriu","authors_text":"Pei-Yun Yang, Wei-Min Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-27T07:15:07Z","title":"Exact homogeneous master equation for open quantum systems incorporating initial correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08521","kind":"arxiv","version":2},"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":"sha256:6e5997ddb4e7237d3b16659cd610d1376c7c5897a68973af2121619026f62ad9","target":"record","created_at":"2026-05-18T01:02:12Z","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":"8998a35b84bc8ce75dd9489277f7839321fe9800902d1b61ecec1c2899e89076","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-27T07:15:07Z","title_canon_sha256":"50676b7500e22a74ee7ea3be544c1b02f4790ce854df5507c580668b01a99b28"},"schema_version":"1.0","source":{"id":"1605.08521","kind":"arxiv","version":2}},"canonical_sha256":"36eaba272c0c39760499241e37194a03b515e947d3988e10fb647608040f0faf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36eaba272c0c39760499241e37194a03b515e947d3988e10fb647608040f0faf","first_computed_at":"2026-05-18T01:02:12.744770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:12.744770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zpS63iE6MoFF7Wzj4uY7JIEXi58NQLdgTRcMuSIOq8N4IF1085oN2Bir4AA3jQ8PqnaYMRvz3Xj96oONmv3LAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:12.746141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.08521","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e5997ddb4e7237d3b16659cd610d1376c7c5897a68973af2121619026f62ad9","sha256:9e706d51428e237ea38ec65e69f5449cb73ad87247b610bbd6ee9cf634d1eee5"],"state_sha256":"fd535ee0275b032fa9c0a129be1aead7b8740c836c7c4e89410add82e00df53b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2r6ahsp3nUBbA2UaxOulHvpmrhWYNc7HzoGZmGefKa0ACY5EgFJmghI3h3qrI7fj0cwUp9NfvUOCCOoLowGkCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:28:01.715531Z","bundle_sha256":"6c139dceb34281b3c4314772719b5a3262f6c5299b2da2670b6c4b84589654fa"}}