{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:IURIZWNH7KLRT5BJVV4MYLQTR5","short_pith_number":"pith:IURIZWNH","canonical_record":{"source":{"id":"1805.04753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-05-12T17:52:29Z","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"title_canon_sha256":"aeb81beede5999fc74e5b47141075961569d2bed2cdc6c61cf40c3de81b0a383","abstract_canon_sha256":"684412746bea3e9366dc830642fb052f76dce028a1d0118a402d4148b334e6c7"},"schema_version":"1.0"},"canonical_sha256":"45228cd9a7fa9719f429ad78cc2e138f5fb19496fa4c75dbeaceb8039d99ac38","source":{"kind":"arxiv","id":"1805.04753","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04753","created_at":"2026-05-18T00:12:16Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04753v2","created_at":"2026-05-18T00:12:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04753","created_at":"2026-05-18T00:12:16Z"},{"alias_kind":"pith_short_12","alias_value":"IURIZWNH7KLR","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IURIZWNH7KLRT5BJ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IURIZWNH","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:IURIZWNH7KLRT5BJVV4MYLQTR5","target":"record","payload":{"canonical_record":{"source":{"id":"1805.04753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-05-12T17:52:29Z","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"title_canon_sha256":"aeb81beede5999fc74e5b47141075961569d2bed2cdc6c61cf40c3de81b0a383","abstract_canon_sha256":"684412746bea3e9366dc830642fb052f76dce028a1d0118a402d4148b334e6c7"},"schema_version":"1.0"},"canonical_sha256":"45228cd9a7fa9719f429ad78cc2e138f5fb19496fa4c75dbeaceb8039d99ac38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:16.873339Z","signature_b64":"RRmqLXA50b4yKNhgdHmJxnhTWKtuqwzw9wlGNV8mov7wV5CsiAB/2a6bonaVdyeaBywAQ90Y9BBJ8A9j+XymAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45228cd9a7fa9719f429ad78cc2e138f5fb19496fa4c75dbeaceb8039d99ac38","last_reissued_at":"2026-05-18T00:12:16.872621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:16.872621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.04753","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":"2026-05-18T00:12:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PJIND8V0bVk2351sVT5X7fnBPg6SXKVTrL7kvXm2ONWy0WtPmvuUwCM0eC6efrus2v0cJtSTGrTI72DfxjtWDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:39:05.277686Z"},"content_sha256":"a634a9f633d608d3020ba82ed4dd6aa2e6d5e17f674ba54bbeb31566e7c70793","schema_version":"1.0","event_id":"sha256:a634a9f633d608d3020ba82ed4dd6aa2e6d5e17f674ba54bbeb31566e7c70793"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:IURIZWNH7KLRT5BJVV4MYLQTR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermal Uhlmann Chern number from the Uhlmann connection for extracting topological properties of mixed states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Chih-Chun Chien, Hao Guo, Yan He","submitted_at":"2018-05-12T17:52:29Z","abstract_excerpt":"The Berry phase is a geometric phase of a pure state when the system is adiabatically transported along a loop in its parameter space. The concept of geometric phase has been generalized to mixed states by the so called Uhlmann phase. However, the Uhlmann phase is constructed from the Uhlmann connection that possesses a well defined global section. This property implies that the Uhlmann connection is topologically trivial and as a consequence, the corresponding Chern character vanishes. We propose modified Chern character whose integral gives the thermal Uhlmann Chern number, which is related "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04753","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":"2026-05-18T00:12:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YxFcV/G8KDozeADrR4kLnVK2UtpqDKLU1EIWE2kvUTTGXcge6Qd83ceXRuQu1Rdaga/KjmrioIVceQxsWezNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:39:05.278033Z"},"content_sha256":"0b66aaaf024c50729f7d482c8b29dde7920439519816769775b782c3cde97487","schema_version":"1.0","event_id":"sha256:0b66aaaf024c50729f7d482c8b29dde7920439519816769775b782c3cde97487"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IURIZWNH7KLRT5BJVV4MYLQTR5/bundle.json","state_url":"https://pith.science/pith/IURIZWNH7KLRT5BJVV4MYLQTR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IURIZWNH7KLRT5BJVV4MYLQTR5/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":"2026-06-02T14:39:05Z","links":{"resolver":"https://pith.science/pith/IURIZWNH7KLRT5BJVV4MYLQTR5","bundle":"https://pith.science/pith/IURIZWNH7KLRT5BJVV4MYLQTR5/bundle.json","state":"https://pith.science/pith/IURIZWNH7KLRT5BJVV4MYLQTR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IURIZWNH7KLRT5BJVV4MYLQTR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IURIZWNH7KLRT5BJVV4MYLQTR5","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":"684412746bea3e9366dc830642fb052f76dce028a1d0118a402d4148b334e6c7","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-05-12T17:52:29Z","title_canon_sha256":"aeb81beede5999fc74e5b47141075961569d2bed2cdc6c61cf40c3de81b0a383"},"schema_version":"1.0","source":{"id":"1805.04753","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04753","created_at":"2026-05-18T00:12:16Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04753v2","created_at":"2026-05-18T00:12:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04753","created_at":"2026-05-18T00:12:16Z"},{"alias_kind":"pith_short_12","alias_value":"IURIZWNH7KLR","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IURIZWNH7KLRT5BJ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IURIZWNH","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:0b66aaaf024c50729f7d482c8b29dde7920439519816769775b782c3cde97487","target":"graph","created_at":"2026-05-18T00:12:16Z","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":"The Berry phase is a geometric phase of a pure state when the system is adiabatically transported along a loop in its parameter space. The concept of geometric phase has been generalized to mixed states by the so called Uhlmann phase. However, the Uhlmann phase is constructed from the Uhlmann connection that possesses a well defined global section. This property implies that the Uhlmann connection is topologically trivial and as a consequence, the corresponding Chern character vanishes. We propose modified Chern character whose integral gives the thermal Uhlmann Chern number, which is related ","authors_text":"Chih-Chun Chien, Hao Guo, Yan He","cross_cats":["cond-mat.quant-gas","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-05-12T17:52:29Z","title":"Thermal Uhlmann Chern number from the Uhlmann connection for extracting topological properties of mixed states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04753","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:a634a9f633d608d3020ba82ed4dd6aa2e6d5e17f674ba54bbeb31566e7c70793","target":"record","created_at":"2026-05-18T00:12:16Z","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":"684412746bea3e9366dc830642fb052f76dce028a1d0118a402d4148b334e6c7","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-05-12T17:52:29Z","title_canon_sha256":"aeb81beede5999fc74e5b47141075961569d2bed2cdc6c61cf40c3de81b0a383"},"schema_version":"1.0","source":{"id":"1805.04753","kind":"arxiv","version":2}},"canonical_sha256":"45228cd9a7fa9719f429ad78cc2e138f5fb19496fa4c75dbeaceb8039d99ac38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45228cd9a7fa9719f429ad78cc2e138f5fb19496fa4c75dbeaceb8039d99ac38","first_computed_at":"2026-05-18T00:12:16.872621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:16.872621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RRmqLXA50b4yKNhgdHmJxnhTWKtuqwzw9wlGNV8mov7wV5CsiAB/2a6bonaVdyeaBywAQ90Y9BBJ8A9j+XymAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:16.873339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04753","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a634a9f633d608d3020ba82ed4dd6aa2e6d5e17f674ba54bbeb31566e7c70793","sha256:0b66aaaf024c50729f7d482c8b29dde7920439519816769775b782c3cde97487"],"state_sha256":"37a9fbb16f73184893970ec921a26d5ec76fa3e6bf0e54f1d1d74354bca0fd96"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dD2W7IWUbfuKWnEW7pY3Iou5iDpTXN+4QMltjYR2Vz4TI/Dj1einw6fovQBLvzDb26EnXweKqylgEmOTPZUPAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:39:05.280010Z","bundle_sha256":"7b773951162be58663705d463b4f2bb1b3c18b6bf516a9fee15498092a62ed39"}}