{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:I2SZOKR3P6T3OMGKYKSL5FEKV4","short_pith_number":"pith:I2SZOKR3","schema_version":"1.0","canonical_sha256":"46a5972a3b7fa7b730cac2a4be948aaf280f66ff74dadf0745e04c039e45c45c","source":{"kind":"arxiv","id":"1304.4926","version":2},"attestation_state":"computed","paper":{"title":"Generalized gravitational entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Aitor Lewkowycz, Juan Maldacena","submitted_at":"2013-04-17T19:30:11Z","abstract_excerpt":"We consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density matrix in the full quantum gravity theory, in the classical approximation. When the circle is contractible in the bulk, we argue that the entropy of this density matrix is given by the area of a minimal surface. This is a generalization of the usual black hole entropy formula to euclidean solutions without a Killing vector.\n  A particular example of this set up appears in the computation of the entanglement en"},"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":"1304.4926","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-17T19:30:11Z","cross_cats_sorted":[],"title_canon_sha256":"a29f29f3433a85c60123084fcd0f8d602c5937405085262c0d0ab70106f62a2c","abstract_canon_sha256":"d50f4d4fc09c2beddd7012b80033b52093a19a840fa4db1a00f8ae350356050b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:31.485170Z","signature_b64":"v+SuUkmIlx6XYiTP9l9Ub4P7NvMuVBC+Nh+ygHHB+lStthNjGopzXpzpu45rPZMpo4jNSnQClZMQ6buMB8pXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46a5972a3b7fa7b730cac2a4be948aaf280f66ff74dadf0745e04c039e45c45c","last_reissued_at":"2026-05-18T01:50:31.484603Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:31.484603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized gravitational entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Aitor Lewkowycz, Juan Maldacena","submitted_at":"2013-04-17T19:30:11Z","abstract_excerpt":"We consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density matrix in the full quantum gravity theory, in the classical approximation. When the circle is contractible in the bulk, we argue that the entropy of this density matrix is given by the area of a minimal surface. This is a generalization of the usual black hole entropy formula to euclidean solutions without a Killing vector.\n  A particular example of this set up appears in the computation of the entanglement en"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4926","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":"1304.4926","created_at":"2026-05-18T01:50:31.484685+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.4926v2","created_at":"2026-05-18T01:50:31.484685+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4926","created_at":"2026-05-18T01:50:31.484685+00:00"},{"alias_kind":"pith_short_12","alias_value":"I2SZOKR3P6T3","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"I2SZOKR3P6T3OMGK","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"I2SZOKR3","created_at":"2026-05-18T12:27:46.883200+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":24,"internal_anchor_count":18,"sample":[{"citing_arxiv_id":"1906.08274","citing_title":"Entropy Variations and Light Ray Operators from Replica Defects","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"1907.08126","citing_title":"Lectures on entanglement entropy in field theory and holography","ref_index":72,"is_internal_anchor":true},{"citing_arxiv_id":"2509.05700","citing_title":"Entanglement Entropy and Thermodynamics of Dynamical Black Holes","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2509.21796","citing_title":"Black Hole Entropy from String Entanglement","ref_index":24,"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":46,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18942","citing_title":"Covariant unification of holographic c-functions","ref_index":99,"is_internal_anchor":true},{"citing_arxiv_id":"2506.16164","citing_title":"The Carrollian Kaleidoscope","ref_index":183,"is_internal_anchor":true},{"citing_arxiv_id":"1911.12333","citing_title":"Replica Wormholes and the Entropy of Hawking Radiation","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"1911.11977","citing_title":"Replica wormholes and the black hole interior","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"1905.08762","citing_title":"The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2511.01366","citing_title":"Symmetry-Resolved Entanglement Entropy from Heat Kernels","ref_index":27,"is_internal_anchor":true},{"citing_arxiv_id":"2511.03779","citing_title":"Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity","ref_index":11,"is_internal_anchor":true},{"citing_arxiv_id":"2512.11754","citing_title":"Modular Witten Diagrams and Quantum Extremality","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2512.19452","citing_title":"Holographic Tensor Networks as Tessellations of Geometry","ref_index":45,"is_internal_anchor":true},{"citing_arxiv_id":"2601.06697","citing_title":"Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality","ref_index":236,"is_internal_anchor":true},{"citing_arxiv_id":"2602.06113","citing_title":"Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography","ref_index":275,"is_internal_anchor":true},{"citing_arxiv_id":"2605.13956","citing_title":"q-Askey Deformations of Double-Scaled SYK","ref_index":177,"is_internal_anchor":true},{"citing_arxiv_id":"2605.13576","citing_title":"Semiclassical algebraic reconstruction for type III algebras","ref_index":41,"is_internal_anchor":true},{"citing_arxiv_id":"2604.22612","citing_title":"Generalized Entanglement Wedges and the Connected Wedge Theorem","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04210","citing_title":"The nonlocal magic of a holographic Schwinger pair","ref_index":79,"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":15,"is_internal_anchor":false},{"citing_arxiv_id":"2604.10267","citing_title":"The yes boundaries wavefunctions of the universe","ref_index":93,"is_internal_anchor":false},{"citing_arxiv_id":"2604.11158","citing_title":"Entanglement inequalities for timelike intervals within dynamical holography","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05815","citing_title":"Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity","ref_index":1,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4","json":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4.json","graph_json":"https://pith.science/api/pith-number/I2SZOKR3P6T3OMGKYKSL5FEKV4/graph.json","events_json":"https://pith.science/api/pith-number/I2SZOKR3P6T3OMGKYKSL5FEKV4/events.json","paper":"https://pith.science/paper/I2SZOKR3"},"agent_actions":{"view_html":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4","download_json":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4.json","view_paper":"https://pith.science/paper/I2SZOKR3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.4926&json=true","fetch_graph":"https://pith.science/api/pith-number/I2SZOKR3P6T3OMGKYKSL5FEKV4/graph.json","fetch_events":"https://pith.science/api/pith-number/I2SZOKR3P6T3OMGKYKSL5FEKV4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4/action/storage_attestation","attest_author":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4/action/author_attestation","sign_citation":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4/action/citation_signature","submit_replication":"https://pith.science/pith/I2SZOKR3P6T3OMGKYKSL5FEKV4/action/replication_record"}},"created_at":"2026-05-18T01:50:31.484685+00:00","updated_at":"2026-05-18T01:50:31.484685+00:00"}