{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:M2QJ6FLFT7XFU5D33XFDX7BPDW","short_pith_number":"pith:M2QJ6FLF","schema_version":"1.0","canonical_sha256":"66a09f15659fee5a747bddca3bfc2f1d92b3565b67a1de5c25cb0c5e604815e8","source":{"kind":"arxiv","id":"gr-qc/9607026","version":1},"attestation_state":"computed","paper":{"title":"Geometry of Black Holes and Multi-Black-Holes in 2+1 dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dieter Brill","submitted_at":"1996-07-11T23:10:54Z","abstract_excerpt":"Lecture given at ``Raychaudhuri session,\" ICGC-95 conference, Pune (India), December 1995.\n Contents:\n I. Introduction\n II. (2+1)-Dimensional Initial Values in Stereographic Projection\n A. The single, non-rotating black hole\n B. Non-rotating multi-black-holes\n C. ``Black Hole\" Universe Initial Values\n III. Time Development: Enter the Raychaudhuri Equation\n IV. Time Development in Stereographic Projection\n A. The BTZ black hole spacetime\n B. Multi-Black-Hole Spacetimes\n V. Black Holes with Angular Momentum\n VI. Analogous 3+1-Dimensional Black Holes\n VII. Conclusions"},"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/9607026","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-07-11T23:10:54Z","cross_cats_sorted":[],"title_canon_sha256":"447c1b6210adb6ab565c1b3d94baa8fcacd088a426b1289684c5cd45d8af4045","abstract_canon_sha256":"7e7433fbe455afedb287440c158deb980e20abe74bdd1768a7072c343a0e2e6d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:44.620001Z","signature_b64":"e5XdNEqmdYwOz+psRdKanodn+pjSmVGg77am5TeJmMNN0pFvPbnszF3wj/1zkpRiNF++o1qTlmlrwmxieXa3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66a09f15659fee5a747bddca3bfc2f1d92b3565b67a1de5c25cb0c5e604815e8","last_reissued_at":"2026-05-18T01:06:44.619280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:44.619280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometry of Black Holes and Multi-Black-Holes in 2+1 dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dieter Brill","submitted_at":"1996-07-11T23:10:54Z","abstract_excerpt":"Lecture given at ``Raychaudhuri session,\" ICGC-95 conference, Pune (India), December 1995.\n Contents:\n I. Introduction\n II. (2+1)-Dimensional Initial Values in Stereographic Projection\n A. The single, non-rotating black hole\n B. Non-rotating multi-black-holes\n C. ``Black Hole\" Universe Initial Values\n III. Time Development: Enter the Raychaudhuri Equation\n IV. Time Development in Stereographic Projection\n A. The BTZ black hole spacetime\n B. Multi-Black-Hole Spacetimes\n V. Black Holes with Angular Momentum\n VI. Analogous 3+1-Dimensional Black Holes\n VII. Conclusions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9607026","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":"gr-qc/9607026","created_at":"2026-05-18T01:06:44.619419+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9607026v1","created_at":"2026-05-18T01:06:44.619419+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9607026","created_at":"2026-05-18T01:06:44.619419+00:00"},{"alias_kind":"pith_short_12","alias_value":"M2QJ6FLFT7XF","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"M2QJ6FLFT7XFU5D3","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"M2QJ6FLF","created_at":"2026-05-18T12:25:48.327863+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW","json":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW.json","graph_json":"https://pith.science/api/pith-number/M2QJ6FLFT7XFU5D33XFDX7BPDW/graph.json","events_json":"https://pith.science/api/pith-number/M2QJ6FLFT7XFU5D33XFDX7BPDW/events.json","paper":"https://pith.science/paper/M2QJ6FLF"},"agent_actions":{"view_html":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW","download_json":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW.json","view_paper":"https://pith.science/paper/M2QJ6FLF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9607026&json=true","fetch_graph":"https://pith.science/api/pith-number/M2QJ6FLFT7XFU5D33XFDX7BPDW/graph.json","fetch_events":"https://pith.science/api/pith-number/M2QJ6FLFT7XFU5D33XFDX7BPDW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW/action/storage_attestation","attest_author":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW/action/author_attestation","sign_citation":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW/action/citation_signature","submit_replication":"https://pith.science/pith/M2QJ6FLFT7XFU5D33XFDX7BPDW/action/replication_record"}},"created_at":"2026-05-18T01:06:44.619419+00:00","updated_at":"2026-05-18T01:06:44.619419+00:00"}