{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:D35Q75UL765QLYKRRMSKAWH25W","short_pith_number":"pith:D35Q75UL","schema_version":"1.0","canonical_sha256":"1efb0ff68bffbb05e1518b24a058faeda8f1bc88712c02acf9d32c0c9a4f2959","source":{"kind":"arxiv","id":"gr-qc/9302012","version":1},"attestation_state":"computed","paper":{"title":"Geometry of the 2+1 Black Hole","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Claudio Teitelboim, Jorge Zanelli, Marc Henneaux, Maximo Banados","submitted_at":"1993-02-10T15:26:26Z","abstract_excerpt":"The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant and without couplings to matter, is analyzed in detail. It is shown that the black hole arises from identifications of points of anti-de Sitter space by a discrete subgroup of $SO(2,2)$. The generic black hole is a smooth manifold in the metric sense. The surface $r=0$ is not a curvature singularity but, rather, a singularity in the causal structure. Continuing past it would introduce closed timelike lines. However, simple examples show the regularity of the metric at $"},"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":"gr-qc/9302012","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1993-02-10T15:26:26Z","cross_cats_sorted":[],"title_canon_sha256":"6b7853c78eca3d17997337bd890324215289efe2bc663d13262cecbb290dc537","abstract_canon_sha256":"ac5a32a869657800d9ab6c28abecf7756bbfe44f2f4ddc50399b87c77c8d9d44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:18:22.475378Z","signature_b64":"KrYuxWxpOtZKKfr7eakqiKaa9hhdg8U5pfsUcIz7yKf8I0o0GrI9Q7tA3WYRCaCxT56GerxIQJsP+MuRz10nDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1efb0ff68bffbb05e1518b24a058faeda8f1bc88712c02acf9d32c0c9a4f2959","last_reissued_at":"2026-07-04T17:18:22.475018Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:18:22.475018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometry of the 2+1 Black Hole","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Claudio Teitelboim, Jorge Zanelli, Marc Henneaux, Maximo Banados","submitted_at":"1993-02-10T15:26:26Z","abstract_excerpt":"The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant and without couplings to matter, is analyzed in detail. It is shown that the black hole arises from identifications of points of anti-de Sitter space by a discrete subgroup of $SO(2,2)$. The generic black hole is a smooth manifold in the metric sense. The surface $r=0$ is not a curvature singularity but, rather, a singularity in the causal structure. Continuing past it would introduce closed timelike lines. However, simple examples show the regularity of the metric at $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9302012","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/9302012/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":"gr-qc/9302012","created_at":"2026-07-04T17:18:22.475080+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9302012v1","created_at":"2026-07-04T17:18:22.475080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9302012","created_at":"2026-07-04T17:18:22.475080+00:00"},{"alias_kind":"pith_short_12","alias_value":"D35Q75UL765Q","created_at":"2026-07-04T17:18:22.475080+00:00"},{"alias_kind":"pith_short_16","alias_value":"D35Q75UL765QLYKR","created_at":"2026-07-04T17:18:22.475080+00:00"},{"alias_kind":"pith_short_8","alias_value":"D35Q75UL","created_at":"2026-07-04T17:18:22.475080+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":19,"internal_anchor_count":12,"sample":[{"citing_arxiv_id":"2606.12526","citing_title":"Multi-entropy in heavy local quenches","ref_index":65,"is_internal_anchor":true},{"citing_arxiv_id":"2606.09170","citing_title":"Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy","ref_index":71,"is_internal_anchor":true},{"citing_arxiv_id":"2606.01025","citing_title":"Black holes with quantum corrections in $3d$: The case of Page curve in Lindblad, greybody factor, and Lyapunov exponent","ref_index":48,"is_internal_anchor":true},{"citing_arxiv_id":"2602.12797","citing_title":"Circular strings, magnons, plane waves and local quenches in BTZ","ref_index":2,"is_internal_anchor":true},{"citing_arxiv_id":"2504.10868","citing_title":"AdS3 axion wormholes as stable contributions to the Euclidean gravitational path integral","ref_index":40,"is_internal_anchor":true},{"citing_arxiv_id":"2508.03236","citing_title":"Timelike Liouville theory and AdS$_3$ gravity at finite cutoff","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18628","citing_title":"Field Theory Models for a Holographic Superconductor in Two Dimensions","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"2506.16164","citing_title":"The Carrollian Kaleidoscope","ref_index":162,"is_internal_anchor":true},{"citing_arxiv_id":"2509.20437","citing_title":"The degrees of freedom of multiway junctions in three dimensional gravity","ref_index":26,"is_internal_anchor":true},{"citing_arxiv_id":"2511.19079","citing_title":"Analytical studies on 3D hairy rotating black hole interiors","ref_index":1,"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":191,"is_internal_anchor":true},{"citing_arxiv_id":"2604.21540","citing_title":"Hawking radiation from black holes in 2+1 dimensions","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2604.24834","citing_title":"Revisiting near-extremal and near-BPS black holes in AdS3 supergravity","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21540","citing_title":"Hawking radiation from black holes in 2+1 dimensions","ref_index":30,"is_internal_anchor":false},{"citing_arxiv_id":"2605.08058","citing_title":"Undulating Conformal Boundaries in 3D Gravity","ref_index":53,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14492","citing_title":"Spinning States and Unitarity in 3D Gravity","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14638","citing_title":"Probing bulk geometry via pole skipping: from static to rotating spacetimes","ref_index":113,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04145","citing_title":"When AdS$_3$ Grows Hair: Boson Stars, Black Holes, and Double-Trace Deformations","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02523","citing_title":"Kerr-de Sitter Black Holes: Quantum Aspects and Cosmic Censorship Conjecture","ref_index":32,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W","json":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W.json","graph_json":"https://pith.science/api/pith-number/D35Q75UL765QLYKRRMSKAWH25W/graph.json","events_json":"https://pith.science/api/pith-number/D35Q75UL765QLYKRRMSKAWH25W/events.json","paper":"https://pith.science/paper/D35Q75UL"},"agent_actions":{"view_html":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W","download_json":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W.json","view_paper":"https://pith.science/paper/D35Q75UL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9302012&json=true","fetch_graph":"https://pith.science/api/pith-number/D35Q75UL765QLYKRRMSKAWH25W/graph.json","fetch_events":"https://pith.science/api/pith-number/D35Q75UL765QLYKRRMSKAWH25W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W/action/storage_attestation","attest_author":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W/action/author_attestation","sign_citation":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W/action/citation_signature","submit_replication":"https://pith.science/pith/D35Q75UL765QLYKRRMSKAWH25W/action/replication_record"}},"created_at":"2026-07-04T17:18:22.475080+00:00","updated_at":"2026-07-04T17:18:22.475080+00:00"}