{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:E2X4DNLTFGLVDBZ734OK3Z47HQ","short_pith_number":"pith:E2X4DNLT","schema_version":"1.0","canonical_sha256":"26afc1b573299751873fdf1cade79f3c235469348ddd096737dc6b8a031b31d7","source":{"kind":"arxiv","id":"2201.07792","version":1},"attestation_state":"computed","paper":{"title":"Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Sagar Vijay, Tsung-Cheng Lu","submitted_at":"2022-01-19T18:59:31Z","abstract_excerpt":"Topologically-ordered phases of matter at non-zero temperature are conjectured to exhibit universal patterns of long-range entanglement which may be detected by a mixed-state entanglement measure known as entanglement negativity. We show that the entanglement negativity in certain topological orders can be understood through the properties of an emergent symmetry-protected topological (SPT) order which is localized on the entanglement bipartition. This connection leads to an understanding of ($i$) universal contributions to the entanglement negativity which diagnose finite-temperature topologi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2201.07792","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-01-19T18:59:31Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"da753c8eb181c854b3f613d0eab16dad33773fc08b3e1fb4dbf21bbb289465d0","abstract_canon_sha256":"b5e2b0061e287b6730fbd3ba223d425d2ceee57b25e56237c3f62bbca49aaa55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-28T02:04:38.400054Z","signature_b64":"1guo/W5tex8/NyhazCbH0r7atHHSYstYZaQOIS+MXZ+/18pPFnCoN7kiw8GlKhcPKLlh2UEFEiFzktjmLdFwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26afc1b573299751873fdf1cade79f3c235469348ddd096737dc6b8a031b31d7","last_reissued_at":"2026-05-28T02:04:38.399542Z","signature_status":"signed_v1","first_computed_at":"2026-05-28T02:04:38.399542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Sagar Vijay, Tsung-Cheng Lu","submitted_at":"2022-01-19T18:59:31Z","abstract_excerpt":"Topologically-ordered phases of matter at non-zero temperature are conjectured to exhibit universal patterns of long-range entanglement which may be detected by a mixed-state entanglement measure known as entanglement negativity. We show that the entanglement negativity in certain topological orders can be understood through the properties of an emergent symmetry-protected topological (SPT) order which is localized on the entanglement bipartition. This connection leads to an understanding of ($i$) universal contributions to the entanglement negativity which diagnose finite-temperature topologi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.07792","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/2201.07792/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2201.07792","created_at":"2026-05-28T02:04:38.399601+00:00"},{"alias_kind":"arxiv_version","alias_value":"2201.07792v1","created_at":"2026-05-28T02:04:38.399601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.07792","created_at":"2026-05-28T02:04:38.399601+00:00"},{"alias_kind":"pith_short_12","alias_value":"E2X4DNLTFGLV","created_at":"2026-05-28T02:04:38.399601+00:00"},{"alias_kind":"pith_short_16","alias_value":"E2X4DNLTFGLVDBZ7","created_at":"2026-05-28T02:04:38.399601+00:00"},{"alias_kind":"pith_short_8","alias_value":"E2X4DNLT","created_at":"2026-05-28T02:04:38.399601+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ","json":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ.json","graph_json":"https://pith.science/api/pith-number/E2X4DNLTFGLVDBZ734OK3Z47HQ/graph.json","events_json":"https://pith.science/api/pith-number/E2X4DNLTFGLVDBZ734OK3Z47HQ/events.json","paper":"https://pith.science/paper/E2X4DNLT"},"agent_actions":{"view_html":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ","download_json":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ.json","view_paper":"https://pith.science/paper/E2X4DNLT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2201.07792&json=true","fetch_graph":"https://pith.science/api/pith-number/E2X4DNLTFGLVDBZ734OK3Z47HQ/graph.json","fetch_events":"https://pith.science/api/pith-number/E2X4DNLTFGLVDBZ734OK3Z47HQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ/action/storage_attestation","attest_author":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ/action/author_attestation","sign_citation":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ/action/citation_signature","submit_replication":"https://pith.science/pith/E2X4DNLTFGLVDBZ734OK3Z47HQ/action/replication_record"}},"created_at":"2026-05-28T02:04:38.399601+00:00","updated_at":"2026-05-28T02:04:38.399601+00:00"}