{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:MSNHUZUUKQ7BVE4MRM5PZX5F5R","short_pith_number":"pith:MSNHUZUU","schema_version":"1.0","canonical_sha256":"649a7a6694543e1a938c8b3afcdfa5ec7686581ecccaddde560b00db6a41b75d","source":{"kind":"arxiv","id":"1006.0047","version":3},"attestation_state":"computed","paper":{"title":"Entanglement Renyi entropies in holographic theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Matthew Headrick","submitted_at":"2010-06-01T02:30:12Z","abstract_excerpt":"Ryu and Takayanagi conjectured a formula for the entanglement (von Neumann) entropy of an arbitrary spatial region in an arbitrary holographic field theory. The von Neumann entropy is a special case of a more general class of entropies called Renyi entropies. Using Euclidean gravity, Fursaev computed the entanglement Renyi entropies (EREs) of an arbitrary spatial region in an arbitrary holographic field theory, and thereby derived the RT formula. We point out, however, that his EREs are incorrect, since his putative saddle points do not in fact solve the Einstein equation. We remedy this situa"},"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":"1006.0047","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-01T02:30:12Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"25dbf6fa349da2eb5cd9f38a25c646e7c99cd51b0311e69fefd947952fc4ce04","abstract_canon_sha256":"bf2e6a1f2ef128e90226862b7bcfd4903087e2ac2b165582191f85557f747f03"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:20.481803Z","signature_b64":"Nns2riTlpubxCeNQmh2vV2wyH1KJlHjtdWtCICCukm/moT9Ft8RjVpOBPGAHAke34GeUV4wZRde6iqmCH0XgBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"649a7a6694543e1a938c8b3afcdfa5ec7686581ecccaddde560b00db6a41b75d","last_reissued_at":"2026-05-18T03:37:20.481066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:20.481066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement Renyi entropies in holographic theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Matthew Headrick","submitted_at":"2010-06-01T02:30:12Z","abstract_excerpt":"Ryu and Takayanagi conjectured a formula for the entanglement (von Neumann) entropy of an arbitrary spatial region in an arbitrary holographic field theory. The von Neumann entropy is a special case of a more general class of entropies called Renyi entropies. Using Euclidean gravity, Fursaev computed the entanglement Renyi entropies (EREs) of an arbitrary spatial region in an arbitrary holographic field theory, and thereby derived the RT formula. We point out, however, that his EREs are incorrect, since his putative saddle points do not in fact solve the Einstein equation. We remedy this situa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0047","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":""},"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":"1006.0047","created_at":"2026-05-18T03:37:20.481147+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.0047v3","created_at":"2026-05-18T03:37:20.481147+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0047","created_at":"2026-05-18T03:37:20.481147+00:00"},{"alias_kind":"pith_short_12","alias_value":"MSNHUZUUKQ7B","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"MSNHUZUUKQ7BVE4M","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"MSNHUZUU","created_at":"2026-05-18T12:26:10.704358+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":6,"sample":[{"citing_arxiv_id":"2607.06870","citing_title":"Phase transitions and uberholography of holographic pure-state geometries","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2606.29549","citing_title":"Velocity dependence of holographic entanglement entropy in a charged plasma","ref_index":17,"is_internal_anchor":true},{"citing_arxiv_id":"2605.28939","citing_title":"Dynamical Entanglement Phase Transitions in Holographic CFTs","ref_index":144,"is_internal_anchor":true},{"citing_arxiv_id":"1906.08274","citing_title":"Entropy Variations and Light Ray Operators from Replica Defects","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"1907.08126","citing_title":"Lectures on entanglement entropy in field theory and holography","ref_index":70,"is_internal_anchor":true},{"citing_arxiv_id":"2510.26247","citing_title":"Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory","ref_index":60,"is_internal_anchor":true},{"citing_arxiv_id":"2604.19860","citing_title":"Mutual Information from Modular Flow in General CFTs","ref_index":9,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R","json":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R.json","graph_json":"https://pith.science/api/pith-number/MSNHUZUUKQ7BVE4MRM5PZX5F5R/graph.json","events_json":"https://pith.science/api/pith-number/MSNHUZUUKQ7BVE4MRM5PZX5F5R/events.json","paper":"https://pith.science/paper/MSNHUZUU"},"agent_actions":{"view_html":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R","download_json":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R.json","view_paper":"https://pith.science/paper/MSNHUZUU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.0047&json=true","fetch_graph":"https://pith.science/api/pith-number/MSNHUZUUKQ7BVE4MRM5PZX5F5R/graph.json","fetch_events":"https://pith.science/api/pith-number/MSNHUZUUKQ7BVE4MRM5PZX5F5R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R/action/storage_attestation","attest_author":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R/action/author_attestation","sign_citation":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R/action/citation_signature","submit_replication":"https://pith.science/pith/MSNHUZUUKQ7BVE4MRM5PZX5F5R/action/replication_record"}},"created_at":"2026-05-18T03:37:20.481147+00:00","updated_at":"2026-05-18T03:37:20.481147+00:00"}