{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:H2QFUHLHU7674B7GGHVGYBUWL6","short_pith_number":"pith:H2QFUHLH","canonical_record":{"source":{"id":"2504.02208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-03T01:54:42Z","cross_cats_sorted":["cond-mat.stat-mech","cs.DS","math-ph","math.MP"],"title_canon_sha256":"6faf1cb60d2522c6caf74e932f53bc305edb4db2902db85c0427596308ea3eb3","abstract_canon_sha256":"2a6fbf88c099b786bffa2c90f1ec872a93896f14472f8329df36a41427961e97"},"schema_version":"1.0"},"canonical_sha256":"3ea05a1d67a7fdfe07e631ea6c06965fbb631d3e714ae67c628a9618dae3ea45","source":{"kind":"arxiv","id":"2504.02208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.02208","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"2504.02208v1","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.02208","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"H2QFUHLHU767","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"pith_short_16","alias_value":"H2QFUHLHU7674B7G","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"pith_short_8","alias_value":"H2QFUHLH","created_at":"2026-07-05T10:43:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:H2QFUHLHU7674B7GGHVGYBUWL6","target":"record","payload":{"canonical_record":{"source":{"id":"2504.02208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-03T01:54:42Z","cross_cats_sorted":["cond-mat.stat-mech","cs.DS","math-ph","math.MP"],"title_canon_sha256":"6faf1cb60d2522c6caf74e932f53bc305edb4db2902db85c0427596308ea3eb3","abstract_canon_sha256":"2a6fbf88c099b786bffa2c90f1ec872a93896f14472f8329df36a41427961e97"},"schema_version":"1.0"},"canonical_sha256":"3ea05a1d67a7fdfe07e631ea6c06965fbb631d3e714ae67c628a9618dae3ea45","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:43:52.778471Z","signature_b64":"1csQOUx63CQJX0F+nsntkfo2Sq/VGNJ54EA+0Dac7kMl11IN56BisZ2OVAnbT4SfT7CRU+WdEAfvgeaHeQ8HCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ea05a1d67a7fdfe07e631ea6c06965fbb631d3e714ae67c628a9618dae3ea45","last_reissued_at":"2026-07-05T10:43:52.778006Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:43:52.778006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.02208","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XE2z4+PsrcJT39m0pZP53BEAVpmtcUviHdeB8MtKF6CMPALpprjlalEXmhpRh+nzGrHfCDrv7SJvFp5FpR5BCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:26:20.009435Z"},"content_sha256":"02a036a480af81e589256dab8adfafb4d16054ae3065c970282f30617bbf8740","schema_version":"1.0","event_id":"sha256:02a036a480af81e589256dab8adfafb4d16054ae3065c970282f30617bbf8740"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:H2QFUHLHU7674B7GGHVGYBUWL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Gibbs states are locally Markovian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.DS","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Cambyse Rouz\\'e, Chi-Fang Chen","submitted_at":"2025-04-03T01:54:42Z","abstract_excerpt":"The Markov property entails the conditional independence structure inherent in Gibbs distributions for general classical Hamiltonians, a feature that plays a crucial role in inference, mixing time analysis, and algorithm design. However, much less is known about quantum Gibbs states. In this work, we show that for any Hamiltonian with a bounded interaction degree, the quantum Gibbs state is locally Markov at arbitrary temperature, meaning there exists a quasi-local recovery map for every local region. Notably, this recovery map is obtained by applying a detailed-balanced Lindbladian with jumps"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.02208","kind":"arxiv","version":1},"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/2504.02208/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":"2026-07-05T10:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"25/4he6mPC6jSacjYq7c+zdBubnruyhxjy4TnX0WZ91eYFz6T3sEWz6gUpMmPX/D4oGdYGU4YR4Ffv7KHqfAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:26:20.010056Z"},"content_sha256":"0ea8cb844618bc0c061391851ecf595b2cb8edc3410beded0788ef52bdbb8e6d","schema_version":"1.0","event_id":"sha256:0ea8cb844618bc0c061391851ecf595b2cb8edc3410beded0788ef52bdbb8e6d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H2QFUHLHU7674B7GGHVGYBUWL6/bundle.json","state_url":"https://pith.science/pith/H2QFUHLHU7674B7GGHVGYBUWL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H2QFUHLHU7674B7GGHVGYBUWL6/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":"2026-08-09T20:26:20Z","links":{"resolver":"https://pith.science/pith/H2QFUHLHU7674B7GGHVGYBUWL6","bundle":"https://pith.science/pith/H2QFUHLHU7674B7GGHVGYBUWL6/bundle.json","state":"https://pith.science/pith/H2QFUHLHU7674B7GGHVGYBUWL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H2QFUHLHU7674B7GGHVGYBUWL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:H2QFUHLHU7674B7GGHVGYBUWL6","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":"2a6fbf88c099b786bffa2c90f1ec872a93896f14472f8329df36a41427961e97","cross_cats_sorted":["cond-mat.stat-mech","cs.DS","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-03T01:54:42Z","title_canon_sha256":"6faf1cb60d2522c6caf74e932f53bc305edb4db2902db85c0427596308ea3eb3"},"schema_version":"1.0","source":{"id":"2504.02208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.02208","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"2504.02208v1","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.02208","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"H2QFUHLHU767","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"pith_short_16","alias_value":"H2QFUHLHU7674B7G","created_at":"2026-07-05T10:43:52Z"},{"alias_kind":"pith_short_8","alias_value":"H2QFUHLH","created_at":"2026-07-05T10:43:52Z"}],"graph_snapshots":[{"event_id":"sha256:0ea8cb844618bc0c061391851ecf595b2cb8edc3410beded0788ef52bdbb8e6d","target":"graph","created_at":"2026-07-05T10:43:52Z","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/2504.02208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Markov property entails the conditional independence structure inherent in Gibbs distributions for general classical Hamiltonians, a feature that plays a crucial role in inference, mixing time analysis, and algorithm design. However, much less is known about quantum Gibbs states. In this work, we show that for any Hamiltonian with a bounded interaction degree, the quantum Gibbs state is locally Markov at arbitrary temperature, meaning there exists a quasi-local recovery map for every local region. Notably, this recovery map is obtained by applying a detailed-balanced Lindbladian with jumps","authors_text":"Cambyse Rouz\\'e, Chi-Fang Chen","cross_cats":["cond-mat.stat-mech","cs.DS","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-03T01:54:42Z","title":"Quantum Gibbs states are locally Markovian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.02208","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":"sha256:02a036a480af81e589256dab8adfafb4d16054ae3065c970282f30617bbf8740","target":"record","created_at":"2026-07-05T10:43:52Z","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":"2a6fbf88c099b786bffa2c90f1ec872a93896f14472f8329df36a41427961e97","cross_cats_sorted":["cond-mat.stat-mech","cs.DS","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-03T01:54:42Z","title_canon_sha256":"6faf1cb60d2522c6caf74e932f53bc305edb4db2902db85c0427596308ea3eb3"},"schema_version":"1.0","source":{"id":"2504.02208","kind":"arxiv","version":1}},"canonical_sha256":"3ea05a1d67a7fdfe07e631ea6c06965fbb631d3e714ae67c628a9618dae3ea45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ea05a1d67a7fdfe07e631ea6c06965fbb631d3e714ae67c628a9618dae3ea45","first_computed_at":"2026-07-05T10:43:52.778006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:43:52.778006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1csQOUx63CQJX0F+nsntkfo2Sq/VGNJ54EA+0Dac7kMl11IN56BisZ2OVAnbT4SfT7CRU+WdEAfvgeaHeQ8HCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:43:52.778471Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.02208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02a036a480af81e589256dab8adfafb4d16054ae3065c970282f30617bbf8740","sha256:0ea8cb844618bc0c061391851ecf595b2cb8edc3410beded0788ef52bdbb8e6d"],"state_sha256":"bb49a9a3dc31453d2a272e297b86b8007a6d1c5fa64cc0a5a2d5b5f0cac2559e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gyvDaxcnINAbbelggpM5i6XgzFz5J4f+Fy8wzCRgpWcSk+s2WauRd+bAKjbw9+Gk7TusJC0kwmPgqx3xToD0Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T20:26:20.014960Z","bundle_sha256":"9d01184e6327482ba95af68e13b9499e944c4f0ec2c4a2bf06595f2288261352"}}