{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:CJ4RXPAH3YZDQVJ3O3CDHFI2BQ","short_pith_number":"pith:CJ4RXPAH","canonical_record":{"source":{"id":"2205.08679","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-18T01:32:29Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"f5594ed5f8cee0e5317effa16eca6d80f791a1183f076fe3d592ca7bc3e82ddb","abstract_canon_sha256":"3ae1043070f66cc312f096dc406fba2b36304f60add1feaaed85dc270aa65ee5"},"schema_version":"1.0"},"canonical_sha256":"12791bbc07de3238553b76c433951a0c3c7f0c871facafab4c0a13d577b1fdaa","source":{"kind":"arxiv","id":"2205.08679","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.08679","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"arxiv_version","alias_value":"2205.08679v2","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08679","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"pith_short_12","alias_value":"CJ4RXPAH3YZD","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"pith_short_16","alias_value":"CJ4RXPAH3YZDQVJ3","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"pith_short_8","alias_value":"CJ4RXPAH","created_at":"2026-07-05T05:19:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:CJ4RXPAH3YZDQVJ3O3CDHFI2BQ","target":"record","payload":{"canonical_record":{"source":{"id":"2205.08679","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-18T01:32:29Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"f5594ed5f8cee0e5317effa16eca6d80f791a1183f076fe3d592ca7bc3e82ddb","abstract_canon_sha256":"3ae1043070f66cc312f096dc406fba2b36304f60add1feaaed85dc270aa65ee5"},"schema_version":"1.0"},"canonical_sha256":"12791bbc07de3238553b76c433951a0c3c7f0c871facafab4c0a13d577b1fdaa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:19:15.430504Z","signature_b64":"J4WnDQGwL3hIlkazCkNCRVmygHoxhDvVc8/mmcgIIS3+gkLCEdtaPclcRiJawvtQvXdygJAWo9LsCUdqWc93CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12791bbc07de3238553b76c433951a0c3c7f0c871facafab4c0a13d577b1fdaa","last_reissued_at":"2026-07-05T05:19:15.430035Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:19:15.430035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.08679","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":"2026-07-05T05:19:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uTt75Eq1mcRg7Hoe5vmlwFbRhnXcb11YE3qgleNweETNHNEHcRTAMKE6Zr3e6iqGi+B7lgJxLO7PpKvAC4zYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T08:13:51.944306Z"},"content_sha256":"8bcf585f15cdbb710587245b84d52e1c4a8796a620dd30484b8e0db6a95ee62c","schema_version":"1.0","event_id":"sha256:8bcf585f15cdbb710587245b84d52e1c4a8796a620dd30484b8e0db6a95ee62c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:CJ4RXPAH3YZDQVJ3O3CDHFI2BQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalizations of Berry phase and differentiation of purified state and thermal vacuum of mixed states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"quant-ph","authors_text":"Chih-Chun Chien, Hao Guo, Xin Wang, Xu-Yang Hou, Zheng Zhou, Zi-Wen Huang","submitted_at":"2022-05-18T01:32:29Z","abstract_excerpt":"Two representations of mixed states by state-vectors, known as purified state and thermal vacuum, have been realized on quantum computers. While the two representations look similar, they differ by a partial transposition in the ancilla space. While ordinary observables cannot discern the two representations, we generalize the Berry phase of pure quantum states to mixed states and construct two geometric phases that can reflect the partial transposition. By generalizing the adiabatic condition, we construct the thermal Berry phase, whose values from the two representations can be different, Ho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08679","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.08679/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:19:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hXRQgShKBtZhbJgoJvdEmcWszFTsD8FTynhmfiFKwt14uBAkteEkwj3gwOJAtJcWrMb6vt5rG4aXPUvnK+9GAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T08:13:51.945250Z"},"content_sha256":"88cd6b5082dcbab67d8cb4c9640bcdb935702f077b0fe5a247db0b2269034579","schema_version":"1.0","event_id":"sha256:88cd6b5082dcbab67d8cb4c9640bcdb935702f077b0fe5a247db0b2269034579"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CJ4RXPAH3YZDQVJ3O3CDHFI2BQ/bundle.json","state_url":"https://pith.science/pith/CJ4RXPAH3YZDQVJ3O3CDHFI2BQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CJ4RXPAH3YZDQVJ3O3CDHFI2BQ/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":"2026-08-14T08:13:51Z","links":{"resolver":"https://pith.science/pith/CJ4RXPAH3YZDQVJ3O3CDHFI2BQ","bundle":"https://pith.science/pith/CJ4RXPAH3YZDQVJ3O3CDHFI2BQ/bundle.json","state":"https://pith.science/pith/CJ4RXPAH3YZDQVJ3O3CDHFI2BQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CJ4RXPAH3YZDQVJ3O3CDHFI2BQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CJ4RXPAH3YZDQVJ3O3CDHFI2BQ","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":"3ae1043070f66cc312f096dc406fba2b36304f60add1feaaed85dc270aa65ee5","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-18T01:32:29Z","title_canon_sha256":"f5594ed5f8cee0e5317effa16eca6d80f791a1183f076fe3d592ca7bc3e82ddb"},"schema_version":"1.0","source":{"id":"2205.08679","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.08679","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"arxiv_version","alias_value":"2205.08679v2","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08679","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"pith_short_12","alias_value":"CJ4RXPAH3YZD","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"pith_short_16","alias_value":"CJ4RXPAH3YZDQVJ3","created_at":"2026-07-05T05:19:15Z"},{"alias_kind":"pith_short_8","alias_value":"CJ4RXPAH","created_at":"2026-07-05T05:19:15Z"}],"graph_snapshots":[{"event_id":"sha256:88cd6b5082dcbab67d8cb4c9640bcdb935702f077b0fe5a247db0b2269034579","target":"graph","created_at":"2026-07-05T05:19:15Z","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/2205.08679/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two representations of mixed states by state-vectors, known as purified state and thermal vacuum, have been realized on quantum computers. While the two representations look similar, they differ by a partial transposition in the ancilla space. While ordinary observables cannot discern the two representations, we generalize the Berry phase of pure quantum states to mixed states and construct two geometric phases that can reflect the partial transposition. By generalizing the adiabatic condition, we construct the thermal Berry phase, whose values from the two representations can be different, Ho","authors_text":"Chih-Chun Chien, Hao Guo, Xin Wang, Xu-Yang Hou, Zheng Zhou, Zi-Wen Huang","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-18T01:32:29Z","title":"Generalizations of Berry phase and differentiation of purified state and thermal vacuum of mixed states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08679","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":"sha256:8bcf585f15cdbb710587245b84d52e1c4a8796a620dd30484b8e0db6a95ee62c","target":"record","created_at":"2026-07-05T05:19:15Z","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":"3ae1043070f66cc312f096dc406fba2b36304f60add1feaaed85dc270aa65ee5","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-18T01:32:29Z","title_canon_sha256":"f5594ed5f8cee0e5317effa16eca6d80f791a1183f076fe3d592ca7bc3e82ddb"},"schema_version":"1.0","source":{"id":"2205.08679","kind":"arxiv","version":2}},"canonical_sha256":"12791bbc07de3238553b76c433951a0c3c7f0c871facafab4c0a13d577b1fdaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12791bbc07de3238553b76c433951a0c3c7f0c871facafab4c0a13d577b1fdaa","first_computed_at":"2026-07-05T05:19:15.430035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:19:15.430035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J4WnDQGwL3hIlkazCkNCRVmygHoxhDvVc8/mmcgIIS3+gkLCEdtaPclcRiJawvtQvXdygJAWo9LsCUdqWc93CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:19:15.430504Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.08679","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bcf585f15cdbb710587245b84d52e1c4a8796a620dd30484b8e0db6a95ee62c","sha256:88cd6b5082dcbab67d8cb4c9640bcdb935702f077b0fe5a247db0b2269034579"],"state_sha256":"5a08bd017d5e664a47b0027539ae94542010daabc36334483605007a9d392dec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFvVO3pcYQp6SGqq8rP/J1j++fsHfy4PlIkBTk55lDXZQo70p5hNaMAhQHWrjzVNLTtWr7ZVs/FGQdNvUslBAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T08:13:51.954335Z","bundle_sha256":"f187af7fa6d9aa8016a2245c2893d9914c9c1d015889fc1f362bef6753863da1"}}