{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:MMEVTQ5EWENY4L2MYWG2F7EPHX","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":"859902e13c8394f76df7e52e8827c7d6bc8d66292bd72bfeae620023250edc95","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-01-03T17:02:59Z","title_canon_sha256":"7781772ed322232d2f439dc542708f07a88f2fe34605922342e207ccc54ef2e1"},"schema_version":"1.0","source":{"id":"2301.01210","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.01210","created_at":"2026-07-05T06:59:28Z"},{"alias_kind":"arxiv_version","alias_value":"2301.01210v3","created_at":"2026-07-05T06:59:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.01210","created_at":"2026-07-05T06:59:28Z"},{"alias_kind":"pith_short_12","alias_value":"MMEVTQ5EWENY","created_at":"2026-07-05T06:59:28Z"},{"alias_kind":"pith_short_16","alias_value":"MMEVTQ5EWENY4L2M","created_at":"2026-07-05T06:59:28Z"},{"alias_kind":"pith_short_8","alias_value":"MMEVTQ5E","created_at":"2026-07-05T06:59:28Z"}],"graph_snapshots":[{"event_id":"sha256:16d6ea2a45af44b18be202c0b44d9157118f34a4659dd3503a7e86f6562691da","target":"graph","created_at":"2026-07-05T06:59:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2301.01210/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two geometric phases of mixed quantum states, known as the interferometric phase and Uhlmann phase, are generalizations of the Berry phase of pure states. After reviewing the two geometric phases and examining their parallel-transport conditions, we specify a class of cyclic processes that are compatible with both conditions and therefore accumulate both phases through their definitions, respectively. Those processes then facilitate a fair comparison between the two phases. We present exact solutions of two-level and three-level systems to contrast the two phases. While the interferometric pha","authors_text":"Chih-Chun Chien, Hao Guo, Xin Wang, Xu-Yang Hou, Zheng Zhou","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-01-03T17:02:59Z","title":"Geometric phases of mixed quantum states: A comparative study of interferometric and Uhlmann phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.01210","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":"sha256:82153ba80d421bf962906fcf83903db7dfc785db75d03a0320747dfb43786c7c","target":"record","created_at":"2026-07-05T06:59:28Z","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":"859902e13c8394f76df7e52e8827c7d6bc8d66292bd72bfeae620023250edc95","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-01-03T17:02:59Z","title_canon_sha256":"7781772ed322232d2f439dc542708f07a88f2fe34605922342e207ccc54ef2e1"},"schema_version":"1.0","source":{"id":"2301.01210","kind":"arxiv","version":3}},"canonical_sha256":"630959c3a4b11b8e2f4cc58da2fc8f3df2988529f7d4de0966013a8d993b2301","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"630959c3a4b11b8e2f4cc58da2fc8f3df2988529f7d4de0966013a8d993b2301","first_computed_at":"2026-07-05T06:59:28.946492Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:59:28.946492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h24r8b8PZYrtTpA9LKzOeoL182YfwfbKDZm9AY1DVhkk4hfwWMQaLz3LwNEgk8G4z6bLf9CZiDabANXBKE5ZDg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:59:28.949661Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.01210","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82153ba80d421bf962906fcf83903db7dfc785db75d03a0320747dfb43786c7c","sha256:16d6ea2a45af44b18be202c0b44d9157118f34a4659dd3503a7e86f6562691da"],"state_sha256":"adf6532c8f78d16eeca5e021c5872315b8ab337d792f8ddcde7c17e42c191993"}