{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4GJYRPVN7XTE2MF52DVTRGE45W","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":"0c8bf94246c4a24ab644a54410eefa48dfa66cd179e13168ee1cc095199abe07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-25T18:00:00Z","title_canon_sha256":"4f9c841a6fe198eb3824cb1d54f8c185f5078ce2ce34a4b2bbcf225de197e93c"},"schema_version":"1.0","source":{"id":"1806.09622","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.09622","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"arxiv_version","alias_value":"1806.09622v2","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09622","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"pith_short_12","alias_value":"4GJYRPVN7XTE","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4GJYRPVN7XTE2MF5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4GJYRPVN","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:0eeb5343ba74c8b419796095550fd3f104c4bc4ad7ed8f2ef4825090de2c514d","target":"graph","created_at":"2026-05-17T23:57:31Z","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":"In holographic duality, the entanglement entropy of a boundary region is proposed to be dual to the area of an extremal codimension-2 surface that is homologous to the boundary region, known as the Hubeny-Rangamani-Takayanagi (HRT) surface. In this paper, we study when the HRT surfaces of two boundary subregions R, A are in the same Cauchy slice. This condition is necessary for the subregion-subregion mapping to be local for both subregions and for states to have a tensor network description. To quantify this, we study the area of a surface that is homologous to A and is extremal except at pos","authors_text":"Aitor Lewkowycz, Xiao-Liang Qi, Xi Dong, Yiming Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-25T18:00:00Z","title":"Modular Flow as a Disentangler"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09622","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:e2a7bfccf40e56eb8a888f67908c19b29c9d85c24611f1d650fc2cfcd7424eb8","target":"record","created_at":"2026-05-17T23:57:31Z","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":"0c8bf94246c4a24ab644a54410eefa48dfa66cd179e13168ee1cc095199abe07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-25T18:00:00Z","title_canon_sha256":"4f9c841a6fe198eb3824cb1d54f8c185f5078ce2ce34a4b2bbcf225de197e93c"},"schema_version":"1.0","source":{"id":"1806.09622","kind":"arxiv","version":2}},"canonical_sha256":"e19388beadfde64d30bdd0eb38989ced8220f05782f2bbcc2b64f24db986afde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e19388beadfde64d30bdd0eb38989ced8220f05782f2bbcc2b64f24db986afde","first_computed_at":"2026-05-17T23:57:31.766948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:31.766948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zqj3N8TdC0jEIKRWRgD/472lOFTgSIi0jrJB/pVKzIK2r78D/vVzgcTnn4aPtA0hEidRFUy78mg1AvVQ/3XpBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:31.767393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.09622","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2a7bfccf40e56eb8a888f67908c19b29c9d85c24611f1d650fc2cfcd7424eb8","sha256:0eeb5343ba74c8b419796095550fd3f104c4bc4ad7ed8f2ef4825090de2c514d"],"state_sha256":"ce4522b5e1321045b57530fd30a64102ecf0780e550f217fe1599633bf4fd572"}