{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:T523RREIJPH3DPXXZ6Z3DCHE7C","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":"7bb34d988e450f67f0da8fa04510b963a143f89d0f8cc7b401fd7e389a68a993","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T00:44:27Z","title_canon_sha256":"68a18a7943020ef982167280bdfc5910e068ad08c5aaafd4d1f78a03f4663d5d"},"schema_version":"1.0","source":{"id":"1803.05552","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05552","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05552v4","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05552","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"pith_short_12","alias_value":"T523RREIJPH3","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"T523RREIJPH3DPXX","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"T523RREI","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:c9a53c21728afb8aa8ea2cf5a78258a37800faa6b2e1d88606112400af79856a","target":"graph","created_at":"2026-05-18T00:00:56Z","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":"We explore the fine structure of the holographic entanglement entropy proposal (the Ryu-Takayanagi formula) in AdS$_3$/CFT$_{2}$. With the guidance from the boundary and bulk modular flows we find a natural slicing of the entanglement wedge with the modular planes, which are co-dimension one bulk surfaces tangent to the modular flow everywhere. This gives an one-to-one correspondence between the points on the boundary interval $\\mathcal{A}$ and the points on the Ryu-Takayanagi (RT) surface $\\mathcal{E}_{\\mathcal{A}}$. In the same sense an arbitrary subinterval $\\mathcal{A}_2$ of $\\mathcal{A}$ ","authors_text":"Qiang Wen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T00:44:27Z","title":"Fine structure in holographic entanglement and entanglement contour"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05552","kind":"arxiv","version":4},"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":"sha256:6866f329858fd117ab9af85f91d69d2f9e4311a6ef1499074b0d6ab9bf1469d1","target":"record","created_at":"2026-05-18T00:00:56Z","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":"7bb34d988e450f67f0da8fa04510b963a143f89d0f8cc7b401fd7e389a68a993","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T00:44:27Z","title_canon_sha256":"68a18a7943020ef982167280bdfc5910e068ad08c5aaafd4d1f78a03f4663d5d"},"schema_version":"1.0","source":{"id":"1803.05552","kind":"arxiv","version":4}},"canonical_sha256":"9f75b8c4884bcfb1bef7cfb3b188e4f89b9170ea87cd9ecd95cf738c019c8dea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f75b8c4884bcfb1bef7cfb3b188e4f89b9170ea87cd9ecd95cf738c019c8dea","first_computed_at":"2026-05-18T00:00:56.983885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:56.983885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CIYJ6JVlxoOQ2uzA7VYn868sit7xu1nnjfPoVzjW1iSBfZff9GhIz/pub8SM44WEorCUlWR6po3yZf8LauaVAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:56.984349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.05552","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6866f329858fd117ab9af85f91d69d2f9e4311a6ef1499074b0d6ab9bf1469d1","sha256:c9a53c21728afb8aa8ea2cf5a78258a37800faa6b2e1d88606112400af79856a"],"state_sha256":"3fe4bdda1565cc1e85791a829477d68c03dfad548a64f4730eac199129ca8d74"}