{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:D3WX2NXCXEZOJBIMXNQHBZHURI","short_pith_number":"pith:D3WX2NXC","schema_version":"1.0","canonical_sha256":"1eed7d36e2b932e4850cbb6070e4f48a0aed5073494a22d8291d0fd0e9192339","source":{"kind":"arxiv","id":"1304.0487","version":2},"attestation_state":"computed","paper":{"title":"Rigidity of stationary black holes with small angular momentum on the horizon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"A. D. Ionescu, S. Alexakis, S. Klainerman","submitted_at":"2013-04-01T21:41:56Z","abstract_excerpt":"We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationary vacuum is isometric to the domain of outer communications of a Kerr solution, provided that the stationary Killing vector-field $\\T$ is small on the bifurcation sphere."},"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":"1304.0487","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-01T21:41:56Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"148b8ef469053481acc629d0b9649c51b3b6eac987e03e761e04b021ea7d69fe","abstract_canon_sha256":"99eeb551ebd1dae1de3e1e35f676fda6f254efdf03401e19727635c87e80a361"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:25.365591Z","signature_b64":"gbDAWfdcy33/GN+h9gMAwBjHDEK9Lpdvn0f4xBz5UjT4fmo2DvHTARgVT5Shy44KD2InhbhKC3tkit2ns8+qCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1eed7d36e2b932e4850cbb6070e4f48a0aed5073494a22d8291d0fd0e9192339","last_reissued_at":"2026-05-18T02:29:25.365034Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:25.365034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rigidity of stationary black holes with small angular momentum on the horizon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"A. D. Ionescu, S. Alexakis, S. Klainerman","submitted_at":"2013-04-01T21:41:56Z","abstract_excerpt":"We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationary vacuum is isometric to the domain of outer communications of a Kerr solution, provided that the stationary Killing vector-field $\\T$ is small on the bifurcation sphere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0487","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":"1304.0487","created_at":"2026-05-18T02:29:25.365114+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.0487v2","created_at":"2026-05-18T02:29:25.365114+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0487","created_at":"2026-05-18T02:29:25.365114+00:00"},{"alias_kind":"pith_short_12","alias_value":"D3WX2NXCXEZO","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"D3WX2NXCXEZOJBIM","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"D3WX2NXC","created_at":"2026-05-18T12:27:40.988391+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/D3WX2NXCXEZOJBIMXNQHBZHURI","json":"https://pith.science/pith/D3WX2NXCXEZOJBIMXNQHBZHURI.json","graph_json":"https://pith.science/api/pith-number/D3WX2NXCXEZOJBIMXNQHBZHURI/graph.json","events_json":"https://pith.science/api/pith-number/D3WX2NXCXEZOJBIMXNQHBZHURI/events.json","paper":"https://pith.science/paper/D3WX2NXC"},"agent_actions":{"view_html":"https://pith.science/pith/D3WX2NXCXEZOJBIMXNQHBZHURI","download_json":"https://pith.science/pith/D3WX2NXCXEZOJBIMXNQHBZHURI.json","view_paper":"https://pith.science/paper/D3WX2NXC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.0487&json=true","fetch_graph":"https://pith.science/api/pith-number/D3WX2NXCXEZOJBIMXNQHBZHURI/graph.json","fetch_events":"https://pith.science/api/pith-number/D3WX2NXCXEZOJBIMXNQHBZHURI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D3WX2NXCXEZOJBIMXNQHBZHURI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D3WX2NXCXEZOJBIMXNQHBZHURI/action/storage_attestation","attest_author":"https://pith.science/pith/D3WX2NXCXEZOJBIMXNQHBZHURI/action/author_attestation","sign_citation":"https://pith.science/pith/D3WX2NXCXEZOJBIMXNQHBZHURI/action/citation_signature","submit_replication":"https://pith.science/pith/D3WX2NXCXEZOJBIMXNQHBZHURI/action/replication_record"}},"created_at":"2026-05-18T02:29:25.365114+00:00","updated_at":"2026-05-18T02:29:25.365114+00:00"}