{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:235KAEPHQBJE2F2YEFTIVNOP65","short_pith_number":"pith:235KAEPH","schema_version":"1.0","canonical_sha256":"d6faa011e780524d175821668ab5cff756033f15bde6fcb6598b057b4f45550f","source":{"kind":"arxiv","id":"gr-qc/0105088","version":8},"attestation_state":"computed","paper":{"title":"A family of heavenly metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"gr-qc","authors_text":"M. B. Sheftel, Y. Nutku (deceased)","submitted_at":"2001-05-24T14:35:38Z","abstract_excerpt":"This is a corrected and essentially extended version of the previous preprint arXiv:gr-qc/0105088 v4 (2002) by Y. Nutku and M. Sheftel containing new results. It is being published now in honor of Y. Nutku's memory. All responsibility for the additions and changes must be attributed to M. Sheftel. We present new anti-self-dual exact solutions of the Einstein field equations with Euclidean and neutral (ultra-hyperbolic) signatures that admit only one rotational Killing vector. Such solutions of the Einstein field equations are determined by non-invariant solutions of Boyer-Finley ($BF$) equatio"},"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/0105088","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2001-05-24T14:35:38Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"175d4c606b205b800d53f5c6fa59f3679074a17b0f206fac0422fdd829bc4033","abstract_canon_sha256":"89dddffa0a28387fce193cbf2b0f59cc1021d6ae046a4a71bdf2c31c7425a3e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:08.655939Z","signature_b64":"lr5SJPhOAzNjBETTsXJ797SRixB60+O+6uFcFuXg+50ZpUK672G3mk0aXevN0NJMruPlgT/2ATnf/ekVHvAECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6faa011e780524d175821668ab5cff756033f15bde6fcb6598b057b4f45550f","last_reissued_at":"2026-05-18T03:05:08.655247Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:08.655247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A family of heavenly metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"gr-qc","authors_text":"M. B. Sheftel, Y. Nutku (deceased)","submitted_at":"2001-05-24T14:35:38Z","abstract_excerpt":"This is a corrected and essentially extended version of the previous preprint arXiv:gr-qc/0105088 v4 (2002) by Y. Nutku and M. Sheftel containing new results. It is being published now in honor of Y. Nutku's memory. All responsibility for the additions and changes must be attributed to M. Sheftel. We present new anti-self-dual exact solutions of the Einstein field equations with Euclidean and neutral (ultra-hyperbolic) signatures that admit only one rotational Killing vector. Such solutions of the Einstein field equations are determined by non-invariant solutions of Boyer-Finley ($BF$) equatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0105088","kind":"arxiv","version":8},"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/0105088","created_at":"2026-05-18T03:05:08.655375+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0105088v8","created_at":"2026-05-18T03:05:08.655375+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0105088","created_at":"2026-05-18T03:05:08.655375+00:00"},{"alias_kind":"pith_short_12","alias_value":"235KAEPHQBJE","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"235KAEPHQBJE2F2Y","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"235KAEPH","created_at":"2026-05-18T12:25:50.254431+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/235KAEPHQBJE2F2YEFTIVNOP65","json":"https://pith.science/pith/235KAEPHQBJE2F2YEFTIVNOP65.json","graph_json":"https://pith.science/api/pith-number/235KAEPHQBJE2F2YEFTIVNOP65/graph.json","events_json":"https://pith.science/api/pith-number/235KAEPHQBJE2F2YEFTIVNOP65/events.json","paper":"https://pith.science/paper/235KAEPH"},"agent_actions":{"view_html":"https://pith.science/pith/235KAEPHQBJE2F2YEFTIVNOP65","download_json":"https://pith.science/pith/235KAEPHQBJE2F2YEFTIVNOP65.json","view_paper":"https://pith.science/paper/235KAEPH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0105088&json=true","fetch_graph":"https://pith.science/api/pith-number/235KAEPHQBJE2F2YEFTIVNOP65/graph.json","fetch_events":"https://pith.science/api/pith-number/235KAEPHQBJE2F2YEFTIVNOP65/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/235KAEPHQBJE2F2YEFTIVNOP65/action/timestamp_anchor","attest_storage":"https://pith.science/pith/235KAEPHQBJE2F2YEFTIVNOP65/action/storage_attestation","attest_author":"https://pith.science/pith/235KAEPHQBJE2F2YEFTIVNOP65/action/author_attestation","sign_citation":"https://pith.science/pith/235KAEPHQBJE2F2YEFTIVNOP65/action/citation_signature","submit_replication":"https://pith.science/pith/235KAEPHQBJE2F2YEFTIVNOP65/action/replication_record"}},"created_at":"2026-05-18T03:05:08.655375+00:00","updated_at":"2026-05-18T03:05:08.655375+00:00"}