{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:OXDOWEAHM2CISRJPFZNUI3YBGV","short_pith_number":"pith:OXDOWEAH","schema_version":"1.0","canonical_sha256":"75c6eb1007668489452f2e5b446f01357349f3ada353501550ce02b0d5755312","source":{"kind":"arxiv","id":"2008.03319","version":2},"attestation_state":"computed","paper":{"title":"Leading order corrections to the quantum extremal surface prescription","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chris Akers, Geoff Penington","submitted_at":"2020-08-07T18:02:03Z","abstract_excerpt":"We show that a na\\\"{i}ve application of the quantum extremal surface (QES) prescription can lead to paradoxical results and must be corrected at leading order. The corrections arise when there is a second QES (with strictly larger generalized entropy at leading order than the minimal QES), together with a large amount of highly incompressible bulk entropy between the two surfaces. We trace the source of the corrections to a failure of the assumptions used in the replica trick derivation of the QES prescription, and show that a more careful derivation correctly computes the corrections. Using t"},"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":"2008.03319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-07T18:02:03Z","cross_cats_sorted":[],"title_canon_sha256":"ba8b175ed59b163dc7919e045eeec8c1dd5f6fbb27233b163369c19b3b99ac85","abstract_canon_sha256":"3bf274ac8013fc86b7c49e92de7aa98d46e73801f5de4c09eb9c5f9b4ba1f0c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:35:16.281507Z","signature_b64":"feMKbopVNSOLxnBnsxHZjuDj7U3pS3PUXFAP2HjUXfXnA2uw2I+w5tO6Zz1WEaafYTO6KlE0L8jh9xSe7P1cAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75c6eb1007668489452f2e5b446f01357349f3ada353501550ce02b0d5755312","last_reissued_at":"2026-07-05T02:35:16.281016Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:35:16.281016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Leading order corrections to the quantum extremal surface prescription","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chris Akers, Geoff Penington","submitted_at":"2020-08-07T18:02:03Z","abstract_excerpt":"We show that a na\\\"{i}ve application of the quantum extremal surface (QES) prescription can lead to paradoxical results and must be corrected at leading order. The corrections arise when there is a second QES (with strictly larger generalized entropy at leading order than the minimal QES), together with a large amount of highly incompressible bulk entropy between the two surfaces. We trace the source of the corrections to a failure of the assumptions used in the replica trick derivation of the QES prescription, and show that a more careful derivation correctly computes the corrections. Using t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.03319","kind":"arxiv","version":2},"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/2008.03319/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":"2008.03319","created_at":"2026-07-05T02:35:16.281077+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.03319v2","created_at":"2026-07-05T02:35:16.281077+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.03319","created_at":"2026-07-05T02:35:16.281077+00:00"},{"alias_kind":"pith_short_12","alias_value":"OXDOWEAHM2CI","created_at":"2026-07-05T02:35:16.281077+00:00"},{"alias_kind":"pith_short_16","alias_value":"OXDOWEAHM2CISRJP","created_at":"2026-07-05T02:35:16.281077+00:00"},{"alias_kind":"pith_short_8","alias_value":"OXDOWEAH","created_at":"2026-07-05T02:35:16.281077+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.30853","citing_title":"Rethinking quantum information in gravity and fields","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2605.23670","citing_title":"Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2605.23670","citing_title":"Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2502.04437","citing_title":"Tripartite Haar random state has no bipartite entanglement","ref_index":43,"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":83,"is_internal_anchor":false},{"citing_arxiv_id":"2510.22601","citing_title":"Quantum Bit Threads and the Entropohedron","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22612","citing_title":"Generalized Entanglement Wedges and the Connected Wedge Theorem","ref_index":34,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV","json":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV.json","graph_json":"https://pith.science/api/pith-number/OXDOWEAHM2CISRJPFZNUI3YBGV/graph.json","events_json":"https://pith.science/api/pith-number/OXDOWEAHM2CISRJPFZNUI3YBGV/events.json","paper":"https://pith.science/paper/OXDOWEAH"},"agent_actions":{"view_html":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV","download_json":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV.json","view_paper":"https://pith.science/paper/OXDOWEAH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.03319&json=true","fetch_graph":"https://pith.science/api/pith-number/OXDOWEAHM2CISRJPFZNUI3YBGV/graph.json","fetch_events":"https://pith.science/api/pith-number/OXDOWEAHM2CISRJPFZNUI3YBGV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV/action/storage_attestation","attest_author":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV/action/author_attestation","sign_citation":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV/action/citation_signature","submit_replication":"https://pith.science/pith/OXDOWEAHM2CISRJPFZNUI3YBGV/action/replication_record"}},"created_at":"2026-07-05T02:35:16.281077+00:00","updated_at":"2026-07-05T02:35:16.281077+00:00"}