{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NGEMXMTBXR7FX4CR2BG5FHQCHT","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":"1fcfbbfcf02e2fb6d98be597112dc9f4d15a50a515134004812fdde0660318a2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-05-12T13:45:05Z","title_canon_sha256":"32267769990b7217d524de0c8298567eed4ef90e2db1b43aa0021f6dbfdc6e40"},"schema_version":"1.0","source":{"id":"1705.04566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04566","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04566v1","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04566","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"pith_short_12","alias_value":"NGEMXMTBXR7F","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NGEMXMTBXR7FX4CR","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NGEMXMTB","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:cf3bdf4a3c00543f746b1cedeff470f54c194444ea9e6be0e941ec044342ce09","target":"graph","created_at":"2026-05-17T23:59:18Z","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":"Time reversal symmetry is a fundamental property of many quantum mechanical systems. The relation between statistical physics and time reversal is subtle and not all statistical theories conserve this particular symmetry, most notably hydrodynamic equations and kinetic equations such as the Boltzmann equation. Here we consider quantum kinetic generalizations of the Boltzmann equation by using the method of reduced density operators leading to the quantum generalization of the BBGKY-(Bogolyubov, Born, Green, Kirkwood, Yvon) hierachy. We demonstrate that all commonly used approximations, includi","authors_text":"M. Bonitz, M. Scharnke, N. Schl\\\"unzen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-05-12T13:45:05Z","title":"Time Reversal Invariance of quantum kinetic equations II: Density operator formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04566","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":"sha256:3e7fab1ebfbaf078c9b1ebbb7bc777447abde60fb547f21a4849382ab963b87d","target":"record","created_at":"2026-05-17T23:59:18Z","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":"1fcfbbfcf02e2fb6d98be597112dc9f4d15a50a515134004812fdde0660318a2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-05-12T13:45:05Z","title_canon_sha256":"32267769990b7217d524de0c8298567eed4ef90e2db1b43aa0021f6dbfdc6e40"},"schema_version":"1.0","source":{"id":"1705.04566","kind":"arxiv","version":1}},"canonical_sha256":"6988cbb261bc7e5bf051d04dd29e023cd757cbaeaa3e9fa8ccfd5f8598a32ec6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6988cbb261bc7e5bf051d04dd29e023cd757cbaeaa3e9fa8ccfd5f8598a32ec6","first_computed_at":"2026-05-17T23:59:18.079344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:18.079344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O77AOJPu420TVO4p99KjMTx0OnkhUbD4ZNTJGOcMXJ2Od8dsTniMQW9NAkixYhm+fyOGzONAxMpyb+cokeaaBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:18.079763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e7fab1ebfbaf078c9b1ebbb7bc777447abde60fb547f21a4849382ab963b87d","sha256:cf3bdf4a3c00543f746b1cedeff470f54c194444ea9e6be0e941ec044342ce09"],"state_sha256":"debd771052c8777fb6d471ef9df94873d83445adf589ff5b7098e88ac23d3c8e"}