{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HYYVLGORF6ATFE7NQVQ3X7DECN","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":"fbd717e4626de7e1ac443949d0c239680a5334213773f1e9c34f346235164a0d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-10-22T18:00:01Z","title_canon_sha256":"3c3ef45a64fee04798a54ff26ecab6096379aa16372eae37e486a2d4e27e7b7f"},"schema_version":"1.0","source":{"id":"2110.11965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.11965","created_at":"2026-07-05T04:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"2110.11965v1","created_at":"2026-07-05T04:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.11965","created_at":"2026-07-05T04:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"HYYVLGORF6AT","created_at":"2026-07-05T04:41:26Z"},{"alias_kind":"pith_short_16","alias_value":"HYYVLGORF6ATFE7N","created_at":"2026-07-05T04:41:26Z"},{"alias_kind":"pith_short_8","alias_value":"HYYVLGOR","created_at":"2026-07-05T04:41:26Z"}],"graph_snapshots":[{"event_id":"sha256:3e9d9119bb598706a36f6c57ad3bb163bdc0049f5d4c48474919f02ebe157021","target":"graph","created_at":"2026-07-05T04:41:26Z","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/2110.11965/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Gapped two-dimensional topological phases can feature ungappable edge states which are robust even in the absence of protecting symmetries. In this work we show that a multipartite entanglement measure recently proposed in the context of holography, the Markov gap, provides a universal diagnostic of ungappable edge states. Defined as a difference of the reflected entropy and mutual information $h(A:B) = S_R(A:B) - I(A:B)$ between two parties, we argue that for $A,B$ being adjacent subregions in the bulk, $h=\\frac{c_+}{3}\\log 2$, where $c_+$ is the minimal total central charge of the boundary t","authors_text":"Karthik Siva, Michael P. Zaletel, Roger S.K. Mong, Tomohiro Soejima, Yijian Zou","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-10-22T18:00:01Z","title":"A universal tripartite entanglement signature of ungappable edge states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.11965","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":"sha256:632a04d33803dc286099561b744b99ddd9415ded5605fb5c3743699dc5898152","target":"record","created_at":"2026-07-05T04:41:26Z","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":"fbd717e4626de7e1ac443949d0c239680a5334213773f1e9c34f346235164a0d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-10-22T18:00:01Z","title_canon_sha256":"3c3ef45a64fee04798a54ff26ecab6096379aa16372eae37e486a2d4e27e7b7f"},"schema_version":"1.0","source":{"id":"2110.11965","kind":"arxiv","version":1}},"canonical_sha256":"3e315599d12f813293ed8561bbfc64135932d12715eacee5c7d393c22df8dc80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e315599d12f813293ed8561bbfc64135932d12715eacee5c7d393c22df8dc80","first_computed_at":"2026-07-05T04:41:26.460491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:41:26.460491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nCjHa/PuCqJKq+l0pzCsOufhrDsNZJ+bGG1fROx5UVjwz2sFEEXwlC6yIRz0nDbYwSeswtz3grCNSmbzapgACg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:41:26.460866Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.11965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:632a04d33803dc286099561b744b99ddd9415ded5605fb5c3743699dc5898152","sha256:3e9d9119bb598706a36f6c57ad3bb163bdc0049f5d4c48474919f02ebe157021"],"state_sha256":"4e3621d2339522c9c475637c13c81bc4c18c60fc63beb4b51922be371d7255c5"}