{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4X25ZHM5VLJEJ3PNQ6IDNAHGND","short_pith_number":"pith:4X25ZHM5","schema_version":"1.0","canonical_sha256":"e5f5dc9d9daad244eded87903680e668cd7e04042908446040ce185b5c367fb9","source":{"kind":"arxiv","id":"1111.1987","version":1},"attestation_state":"computed","paper":{"title":"The Gravity Dual of the Ising Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alejandra Castro, Alexander Maloney, Matthias R. Gaberdiel, Roberto Volpato, Thomas Hartman","submitted_at":"2011-11-08T17:43:08Z","abstract_excerpt":"We evaluate the partition function of three dimensional theories of gravity in the quantum regime, where the AdS radius is Planck scale and the central charge is of order one. The contribution from the AdS vacuum sector can - with certain assumptions - be computed and equals the vacuum character of a minimal model CFT. The torus partition function is given by a sum over geometries which is finite and computable. For generic values of Newton's constant G and the AdS radius L the result has no Hilbert space interpretation, but in certain cases it agrees with the partition function of a known CFT"},"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":"1111.1987","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-08T17:43:08Z","cross_cats_sorted":[],"title_canon_sha256":"170a6f2880a3c9564afa2637d2445f39bd8ea520c09c8a4fdbbd82ca74007f8b","abstract_canon_sha256":"984ade695207dcce9a6b87337055fddcc3174806aef2a5937182d907ad7106fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:12.627986Z","signature_b64":"6E8YYn9aBoUKDT4DutR5L8JLFOecmSUoHZxf1lhdESVP3363F2pqszc2ojb/O0lxt7FsFM0ZYxb98gF68DUFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5f5dc9d9daad244eded87903680e668cd7e04042908446040ce185b5c367fb9","last_reissued_at":"2026-05-18T03:23:12.627615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:12.627615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Gravity Dual of the Ising Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alejandra Castro, Alexander Maloney, Matthias R. Gaberdiel, Roberto Volpato, Thomas Hartman","submitted_at":"2011-11-08T17:43:08Z","abstract_excerpt":"We evaluate the partition function of three dimensional theories of gravity in the quantum regime, where the AdS radius is Planck scale and the central charge is of order one. The contribution from the AdS vacuum sector can - with certain assumptions - be computed and equals the vacuum character of a minimal model CFT. The torus partition function is given by a sum over geometries which is finite and computable. For generic values of Newton's constant G and the AdS radius L the result has no Hilbert space interpretation, but in certain cases it agrees with the partition function of a known CFT"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1987","kind":"arxiv","version":1},"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":"1111.1987","created_at":"2026-05-18T03:23:12.627672+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.1987v1","created_at":"2026-05-18T03:23:12.627672+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1987","created_at":"2026-05-18T03:23:12.627672+00:00"},{"alias_kind":"pith_short_12","alias_value":"4X25ZHM5VLJE","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4X25ZHM5VLJEJ3PN","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4X25ZHM5","created_at":"2026-05-18T12:26:20.644004+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2504.10868","citing_title":"AdS3 axion wormholes as stable contributions to the Euclidean gravitational path integral","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2505.03068","citing_title":"M\\\"obius randomness in the Hartle-Hawking state","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2511.19079","citing_title":"Analytical studies on 3D hairy rotating black hole interiors","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2605.12590","citing_title":"A solvable model of 3d quantum gravity","ref_index":24,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND","json":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND.json","graph_json":"https://pith.science/api/pith-number/4X25ZHM5VLJEJ3PNQ6IDNAHGND/graph.json","events_json":"https://pith.science/api/pith-number/4X25ZHM5VLJEJ3PNQ6IDNAHGND/events.json","paper":"https://pith.science/paper/4X25ZHM5"},"agent_actions":{"view_html":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND","download_json":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND.json","view_paper":"https://pith.science/paper/4X25ZHM5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.1987&json=true","fetch_graph":"https://pith.science/api/pith-number/4X25ZHM5VLJEJ3PNQ6IDNAHGND/graph.json","fetch_events":"https://pith.science/api/pith-number/4X25ZHM5VLJEJ3PNQ6IDNAHGND/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND/action/storage_attestation","attest_author":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND/action/author_attestation","sign_citation":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND/action/citation_signature","submit_replication":"https://pith.science/pith/4X25ZHM5VLJEJ3PNQ6IDNAHGND/action/replication_record"}},"created_at":"2026-05-18T03:23:12.627672+00:00","updated_at":"2026-05-18T03:23:12.627672+00:00"}