{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:ROH2NK7DXT4NGADSQLQQAF66EA","short_pith_number":"pith:ROH2NK7D","schema_version":"1.0","canonical_sha256":"8b8fa6abe3bcf8d3007282e10017de201fac4df2e74fa193d5fa88da3488dcf7","source":{"kind":"arxiv","id":"hep-th/0603001","version":2},"attestation_state":"computed","paper":{"title":"Holographic Derivation of Entanglement Entropy from AdS/CFT","license":"","headline":"","cross_cats":["cond-mat.str-el","gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Shinsei Ryu, Tadashi Takayanagi","submitted_at":"2006-02-28T21:29:24Z","abstract_excerpt":"A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS_{d+2}, analogous to the Bekenstein-Hawking formula for black hole entropy. We show that our proposal perfectly reproduces the correct entanglement entropy in 2D CFT when applied to AdS_3. We also compare the entropy computed in AdS_5 \\times S^5 with that of the free N=4 super Yang-Mills."},"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":"hep-th/0603001","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-02-28T21:29:24Z","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"title_canon_sha256":"8960206ab890c84f21d92b7bfd25a50a10afe704581b835d98b698ff7611d639","abstract_canon_sha256":"dd422e801f87f087cb8a34e185e78526db87b6590b1e0a6228822c1410da46e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:39.092529Z","signature_b64":"2uqF8EVz1Bm+s7zxNYopYTsNqkFBwbcLvCPPrEAq06+dpaTysmqTP/5CftYlkBVumAtcNf3JvbFOfTBSoz88DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b8fa6abe3bcf8d3007282e10017de201fac4df2e74fa193d5fa88da3488dcf7","last_reissued_at":"2026-05-18T02:35:39.091926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:39.091926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Holographic Derivation of Entanglement Entropy from AdS/CFT","license":"","headline":"","cross_cats":["cond-mat.str-el","gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Shinsei Ryu, Tadashi Takayanagi","submitted_at":"2006-02-28T21:29:24Z","abstract_excerpt":"A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS_{d+2}, analogous to the Bekenstein-Hawking formula for black hole entropy. We show that our proposal perfectly reproduces the correct entanglement entropy in 2D CFT when applied to AdS_3. We also compare the entropy computed in AdS_5 \\times S^5 with that of the free N=4 super Yang-Mills."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0603001","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":""},"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":"hep-th/0603001","created_at":"2026-05-18T02:35:39.092009+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0603001v2","created_at":"2026-05-18T02:35:39.092009+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0603001","created_at":"2026-05-18T02:35:39.092009+00:00"},{"alias_kind":"pith_short_12","alias_value":"ROH2NK7DXT4N","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"ROH2NK7DXT4NGADS","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"ROH2NK7D","created_at":"2026-05-18T12:25:54.717736+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":68,"internal_anchor_count":53,"sample":[{"citing_arxiv_id":"2605.23670","citing_title":"Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"1907.08126","citing_title":"Lectures on entanglement entropy in field theory and holography","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2309.04231","citing_title":"Subregion Complementarity in AdS/CFT","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"2406.19125","citing_title":"Entanglement Harvesting and Quantum Discord of Alpha Vacua in de Sitter Space","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2411.01105","citing_title":"UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox","ref_index":194,"is_internal_anchor":true},{"citing_arxiv_id":"2412.05484","citing_title":"Topological entanglement entropy meets holographic entropy inequalities","ref_index":39,"is_internal_anchor":true},{"citing_arxiv_id":"2412.18610","citing_title":"Crosscap Quenches and Entanglement Evolution","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2505.00501","citing_title":"Minimal Factorization of Chern-Simons Theory -- Gravitational Anyonic Edge Modes","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"2505.11553","citing_title":"Holographic entanglement entropy and complexity for the cosmological braneworld model","ref_index":27,"is_internal_anchor":true},{"citing_arxiv_id":"2605.22172","citing_title":"Landauer entropy of spacetime","ref_index":15,"is_internal_anchor":true},{"citing_arxiv_id":"2509.05700","citing_title":"Entanglement Entropy and Thermodynamics of Dynamical Black Holes","ref_index":17,"is_internal_anchor":true},{"citing_arxiv_id":"2510.25688","citing_title":"Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"2512.02120","citing_title":"(Iso)spin from Isospin in Top-Down Holography","ref_index":11,"is_internal_anchor":true},{"citing_arxiv_id":"2512.22997","citing_title":"Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2602.11806","citing_title":"GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared","ref_index":11,"is_internal_anchor":true},{"citing_arxiv_id":"2605.15776","citing_title":"Exact Bulk-Boundary Pairs in AdS/CFT","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2605.20417","citing_title":"Quantum Simulation of Gauge Theories for Particle and Nuclear Physics","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2605.16316","citing_title":"Gauging Time Reversal Symmetry in Quantum Gravity: Arrow of Time from a Confinement--Deconfinement Transition","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"2605.16641","citing_title":"On bulk reconstruction in Lorentzian AdS and its flat space limit","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18964","citing_title":"Modave lectures on energy conditions in quantum field theory and semi-classical gravity","ref_index":58,"is_internal_anchor":true},{"citing_arxiv_id":"2605.17209","citing_title":"Emergent AdS Geometry and Black Hole Thermodynamics from Functional Renormalization Group","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2605.17438","citing_title":"Holographic entanglement entropy in the QCD phase diagram under external magnetic field","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2604.15730","citing_title":"Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes","ref_index":2,"is_internal_anchor":true},{"citing_arxiv_id":"2506.16164","citing_title":"The Carrollian Kaleidoscope","ref_index":178,"is_internal_anchor":true},{"citing_arxiv_id":"2508.00060","citing_title":"Entanglement spreading and emergent locality in Brownian SYK chains","ref_index":1,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA","json":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA.json","graph_json":"https://pith.science/api/pith-number/ROH2NK7DXT4NGADSQLQQAF66EA/graph.json","events_json":"https://pith.science/api/pith-number/ROH2NK7DXT4NGADSQLQQAF66EA/events.json","paper":"https://pith.science/paper/ROH2NK7D"},"agent_actions":{"view_html":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA","download_json":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA.json","view_paper":"https://pith.science/paper/ROH2NK7D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0603001&json=true","fetch_graph":"https://pith.science/api/pith-number/ROH2NK7DXT4NGADSQLQQAF66EA/graph.json","fetch_events":"https://pith.science/api/pith-number/ROH2NK7DXT4NGADSQLQQAF66EA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA/action/storage_attestation","attest_author":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA/action/author_attestation","sign_citation":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA/action/citation_signature","submit_replication":"https://pith.science/pith/ROH2NK7DXT4NGADSQLQQAF66EA/action/replication_record"}},"created_at":"2026-05-18T02:35:39.092009+00:00","updated_at":"2026-05-18T02:35:39.092009+00:00"}