{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:A4RZKTJ6EHQGLQINR2JI2RTLUB","short_pith_number":"pith:A4RZKTJ6","schema_version":"1.0","canonical_sha256":"0723954d3e21e065c10d8e928d466ba05ab110818d0579c7784bf4fd001a6bee","source":{"kind":"arxiv","id":"1811.05382","version":3},"attestation_state":"computed","paper":{"title":"Flat entanglement spectra in fixed-area states of quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel Harlow, Donald Marolf, Xi Dong","submitted_at":"2018-11-13T16:19:06Z","abstract_excerpt":"We use the Einstein-Hilbert gravitational path integral to investigate gravitational entanglement at leading order $O(1/G)$. We argue that semiclassical states prepared by a Euclidean path integral have the property that projecting them onto a subspace in which the Ryu-Takayanagi or Hubeny-Rangamani-Takayanagi surface has definite area gives a state with a flat entanglement spectrum at this order in gravitational perturbation theory. This means that the reduced density matrix can be approximated as proportional to the identity to the extent that its Renyi entropies $S_n$ are independent of $n$"},"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":"1811.05382","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-13T16:19:06Z","cross_cats_sorted":[],"title_canon_sha256":"a3bab8f00f96800b8d924879f58afc9c42752689d71736846663ccfb38814db2","abstract_canon_sha256":"6f93d0fbfcaabc5b3ebaaa515e37b561d255f36f7f554e6252c89087458af1bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:29:59.433392Z","signature_b64":"LuDEPuTyui+MK8TIQQtm+t/zoV9PcITL3S7m2/FE6Eb9QdqgjoqWKPJw/3Wo/tqcZSITTYJFSDM3vNlUbvNwDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0723954d3e21e065c10d8e928d466ba05ab110818d0579c7784bf4fd001a6bee","last_reissued_at":"2026-07-05T00:29:59.432850Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:29:59.432850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Flat entanglement spectra in fixed-area states of quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel Harlow, Donald Marolf, Xi Dong","submitted_at":"2018-11-13T16:19:06Z","abstract_excerpt":"We use the Einstein-Hilbert gravitational path integral to investigate gravitational entanglement at leading order $O(1/G)$. We argue that semiclassical states prepared by a Euclidean path integral have the property that projecting them onto a subspace in which the Ryu-Takayanagi or Hubeny-Rangamani-Takayanagi surface has definite area gives a state with a flat entanglement spectrum at this order in gravitational perturbation theory. This means that the reduced density matrix can be approximated as proportional to the identity to the extent that its Renyi entropies $S_n$ are independent of $n$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05382","kind":"arxiv","version":3},"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/1811.05382/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":"1811.05382","created_at":"2026-07-05T00:29:59.432907+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.05382v3","created_at":"2026-07-05T00:29:59.432907+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05382","created_at":"2026-07-05T00:29:59.432907+00:00"},{"alias_kind":"pith_short_12","alias_value":"A4RZKTJ6EHQG","created_at":"2026-07-05T00:29:59.432907+00:00"},{"alias_kind":"pith_short_16","alias_value":"A4RZKTJ6EHQGLQIN","created_at":"2026-07-05T00:29:59.432907+00:00"},{"alias_kind":"pith_short_8","alias_value":"A4RZKTJ6","created_at":"2026-07-05T00:29:59.432907+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":9,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.01320","citing_title":"Logarithmic negativity typically equals exact entanglement cost","ref_index":34,"is_internal_anchor":false},{"citing_arxiv_id":"2606.04470","citing_title":"Multi-entropy in random tensor networks","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2606.28484","citing_title":"Subregion observer rules from generalized entanglement wedges","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2403.09021","citing_title":"Von Neumann Algebras in Double-Scaled SYK","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"1911.11977","citing_title":"Replica wormholes and the black hole interior","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2509.15295","citing_title":"Living on the edge: a non-perturbative resolution to the negativity of bulk entropies","ref_index":81,"is_internal_anchor":false},{"citing_arxiv_id":"2512.19452","citing_title":"Holographic Tensor Networks as Tessellations of Geometry","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13261","citing_title":"Structural Obstruction to Replica Symmetry Breaking for Multi-Entropy in Random Tensor Networks","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2604.10583","citing_title":"The Junction Law for Multipartite Entanglement in Confining Holographic Backgrounds","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB","json":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB.json","graph_json":"https://pith.science/api/pith-number/A4RZKTJ6EHQGLQINR2JI2RTLUB/graph.json","events_json":"https://pith.science/api/pith-number/A4RZKTJ6EHQGLQINR2JI2RTLUB/events.json","paper":"https://pith.science/paper/A4RZKTJ6"},"agent_actions":{"view_html":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB","download_json":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB.json","view_paper":"https://pith.science/paper/A4RZKTJ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.05382&json=true","fetch_graph":"https://pith.science/api/pith-number/A4RZKTJ6EHQGLQINR2JI2RTLUB/graph.json","fetch_events":"https://pith.science/api/pith-number/A4RZKTJ6EHQGLQINR2JI2RTLUB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB/action/storage_attestation","attest_author":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB/action/author_attestation","sign_citation":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB/action/citation_signature","submit_replication":"https://pith.science/pith/A4RZKTJ6EHQGLQINR2JI2RTLUB/action/replication_record"}},"created_at":"2026-07-05T00:29:59.432907+00:00","updated_at":"2026-07-05T00:29:59.432907+00:00"}