{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:3CPI4KYUTVIXIJFKUSNLVCVGYI","short_pith_number":"pith:3CPI4KYU","schema_version":"1.0","canonical_sha256":"d89e8e2b149d517424aaa49aba8aa6c2188115ee8a3e8e3e177b6d8da94a4d5d","source":{"kind":"arxiv","id":"hep-th/9712251","version":3},"attestation_state":"computed","paper":{"title":"Black Hole Entropy from Near-Horizon Microstates","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrew Strominger","submitted_at":"1997-12-30T21:48:15Z","abstract_excerpt":"Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we microscopically compute the black hole entropy from the asymptotic growth of states. Precise numerical agreement with the Bekenstein-Hawking area formula for the entropy is found. The result pertains to any consistent quantum theory of gravity, and does not use string theory or supersymmetry."},"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/9712251","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-12-30T21:48:15Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bf4d4dc48a4b96b2255ac525adc1275e5e150bf574f78a902166020cffd5a1e2","abstract_canon_sha256":"a3e26c4fa7d0e4ad6f8e01542dfe19da70fa065b44f3927ae787cf939e95069d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:05:49.119375Z","signature_b64":"H4HwTFEpJc6vQRVUOB+f5mAQQeb+mAsfgL9pAuSNFLa2JkqxeUhsGWWhf9bjHv5bbuMfn5Yb7byQyVcm+gTiDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d89e8e2b149d517424aaa49aba8aa6c2188115ee8a3e8e3e177b6d8da94a4d5d","last_reissued_at":"2026-07-04T16:05:49.119032Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:05:49.119032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black Hole Entropy from Near-Horizon Microstates","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrew Strominger","submitted_at":"1997-12-30T21:48:15Z","abstract_excerpt":"Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we microscopically compute the black hole entropy from the asymptotic growth of states. Precise numerical agreement with the Bekenstein-Hawking area formula for the entropy is found. The result pertains to any consistent quantum theory of gravity, and does not use string theory or supersymmetry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9712251","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9712251/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":"hep-th/9712251","created_at":"2026-07-04T16:05:49.119091+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9712251v3","created_at":"2026-07-04T16:05:49.119091+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9712251","created_at":"2026-07-04T16:05:49.119091+00:00"},{"alias_kind":"pith_short_12","alias_value":"3CPI4KYUTVIX","created_at":"2026-07-04T16:05:49.119091+00:00"},{"alias_kind":"pith_short_16","alias_value":"3CPI4KYUTVIXIJFK","created_at":"2026-07-04T16:05:49.119091+00:00"},{"alias_kind":"pith_short_8","alias_value":"3CPI4KYU","created_at":"2026-07-04T16:05:49.119091+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":19,"internal_anchor_count":13,"sample":[{"citing_arxiv_id":"2607.06867","citing_title":"On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity","ref_index":69,"is_internal_anchor":true},{"citing_arxiv_id":"2606.01296","citing_title":"Notes on Wasserstein distance and wormholes","ref_index":24,"is_internal_anchor":true},{"citing_arxiv_id":"1907.08149","citing_title":"The Cardy Formula from Goldstone Bosons","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2504.12521","citing_title":"Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics","ref_index":217,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18628","citing_title":"Field Theory Models for a Holographic Superconductor in Two Dimensions","ref_index":15,"is_internal_anchor":true},{"citing_arxiv_id":"2506.16164","citing_title":"The Carrollian Kaleidoscope","ref_index":167,"is_internal_anchor":true},{"citing_arxiv_id":"2508.05322","citing_title":"Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS$_4$ Black Holes","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2511.02903","citing_title":"Entanglement inequalities, black holes and the architecture of typical states","ref_index":44,"is_internal_anchor":true},{"citing_arxiv_id":"2511.15426","citing_title":"Probing decoupled Throats of AdS$_{D}$ Black Holes in $D=6,7$","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2512.04977","citing_title":"Thermodynamics vs Teleodynamics: A Cosmological Divide?","ref_index":11,"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":4,"is_internal_anchor":true},{"citing_arxiv_id":"2604.21540","citing_title":"Hawking radiation from black holes in 2+1 dimensions","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"2604.01275","citing_title":"Descending into the Modular Bootstrap","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2604.27068","citing_title":"Holographic realization of higher-spin Carrollian free fields","ref_index":15,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26854","citing_title":"Deforming ${\\rm AdS}_3\\times S^3\\times T^4$ in Type IIB Supergravity","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21540","citing_title":"Hawking radiation from black holes in 2+1 dimensions","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2604.11602","citing_title":"Celestial 1-form symmetries","ref_index":9,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14335","citing_title":"Hofstadter's Butterfly in AdS$_3$ Black Holes","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14492","citing_title":"Spinning States and Unitarity in 3D Gravity","ref_index":9,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI","json":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI.json","graph_json":"https://pith.science/api/pith-number/3CPI4KYUTVIXIJFKUSNLVCVGYI/graph.json","events_json":"https://pith.science/api/pith-number/3CPI4KYUTVIXIJFKUSNLVCVGYI/events.json","paper":"https://pith.science/paper/3CPI4KYU"},"agent_actions":{"view_html":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI","download_json":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI.json","view_paper":"https://pith.science/paper/3CPI4KYU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9712251&json=true","fetch_graph":"https://pith.science/api/pith-number/3CPI4KYUTVIXIJFKUSNLVCVGYI/graph.json","fetch_events":"https://pith.science/api/pith-number/3CPI4KYUTVIXIJFKUSNLVCVGYI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI/action/storage_attestation","attest_author":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI/action/author_attestation","sign_citation":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI/action/citation_signature","submit_replication":"https://pith.science/pith/3CPI4KYUTVIXIJFKUSNLVCVGYI/action/replication_record"}},"created_at":"2026-07-04T16:05:49.119091+00:00","updated_at":"2026-07-04T16:05:49.119091+00:00"}