{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4VLP3V2DELBZNN4HG4LAOYNZWI","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":"dc858df49ff58bfc7ecd9c3237309e51244dfdce888cfc327810079e80a6ff47","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-18T15:15:37Z","title_canon_sha256":"ba2759599f389129a4e29ed580cb9d92da0e06be696ba41ede54a7399cf21934"},"schema_version":"1.0","source":{"id":"1207.4395","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4395","created_at":"2026-05-18T03:46:47Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4395v2","created_at":"2026-05-18T03:46:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4395","created_at":"2026-05-18T03:46:47Z"},{"alias_kind":"pith_short_12","alias_value":"4VLP3V2DELBZ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4VLP3V2DELBZNN4H","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4VLP3V2D","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:7cf9011c36b01b02b07d6fdb30b88eb14d7159b9770dfcaee834052357ebf5c7","target":"graph","created_at":"2026-05-18T03:46:47Z","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 discuss a combination of unitary and anti-unitary symmetry of quantum Liouvillian dynamics, in the context of open quantum systems, which implies a D2 symmetry of the complex Liovillean spectrum. For sufficiently weak system-bath coupling it implies a uniform decay rate for all coherences, i.e. off-diagonal elements of the system's density matrix taken in the eigenbasis of the Hamiltonian. As an example we discuss symmetrically boundary driven open XXZ spin 1/2 chains.","authors_text":"Tomaz Prosen","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-18T15:15:37Z","title":"PT-symmetric quantum Liouvillian dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4395","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:fb4d965755e893f1e7b1f137c7a0f0eb46979162304fbb8884040f5311921c91","target":"record","created_at":"2026-05-18T03:46:47Z","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":"dc858df49ff58bfc7ecd9c3237309e51244dfdce888cfc327810079e80a6ff47","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-18T15:15:37Z","title_canon_sha256":"ba2759599f389129a4e29ed580cb9d92da0e06be696ba41ede54a7399cf21934"},"schema_version":"1.0","source":{"id":"1207.4395","kind":"arxiv","version":2}},"canonical_sha256":"e556fdd74322c396b78737160761b9b217dea959da1e58fc50d3e56b3291e3c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e556fdd74322c396b78737160761b9b217dea959da1e58fc50d3e56b3291e3c5","first_computed_at":"2026-05-18T03:46:47.026442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:47.026442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+SMJEvAQNZ8WhYlfzlIqFDoSsiMwupsAl5jvsTt6REwwsSyhdyBG1Gkiw4PPKU3EE9smzBcjWPoRpUYigxjzDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:47.027144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4395","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb4d965755e893f1e7b1f137c7a0f0eb46979162304fbb8884040f5311921c91","sha256:7cf9011c36b01b02b07d6fdb30b88eb14d7159b9770dfcaee834052357ebf5c7"],"state_sha256":"6a13e505dd8d1b0e6a9a533711146b057c5e036beee11faa7f381aeaca5ef8b3"}