{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:5JC4N3J2GBCVLQGKMKYYDR5SS6","short_pith_number":"pith:5JC4N3J2","schema_version":"1.0","canonical_sha256":"ea45c6ed3a304555c0ca62b181c7b297b2aeb7b3bcd2a400f4e4a185c110c9be","source":{"kind":"arxiv","id":"2003.05139","version":2},"attestation_state":"computed","paper":{"title":"Infinitely degenerate exact Ricci-flat solutions in f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jose Mathew, Semin Xavier, S. Shankaranarayanan","submitted_at":"2020-03-11T07:22:48Z","abstract_excerpt":"We obtain an infinite number of exact static, Ricci-flat spherically symmetric vacuum solutions for a class of f(R) theories of gravity. We analytically derive two exact vacuum black-hole solutions for the same class of f(R) theories. The two black-hole solutions have the event-horizon at the same point; however, their asymptotic features are different. Our results suggest that no-hair theorem may not hold for generic modified gravity theories. We discuss the implications of our work to distinguish modified gravity theories from general relativity in gravitational wave detections."},"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":"2003.05139","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-03-11T07:22:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b3d628525d140c794e33c14d2ae27910461a87cc206d306c84cfae7f9cb0abf6","abstract_canon_sha256":"6358aee2d64ffb391aaf3af90d4f3a7c1448f55eb5fcac33d54953bc87afca88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:39:26.234404Z","signature_b64":"jCvAK4XFeEGZfsQ2h9lismxPeFIF51U965kaV2N+04WSvU7tQbimqwMNNoyQHvAzVDrFt09VqcnpJNw9aZUFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea45c6ed3a304555c0ca62b181c7b297b2aeb7b3bcd2a400f4e4a185c110c9be","last_reissued_at":"2026-07-05T01:39:26.233987Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:39:26.233987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinitely degenerate exact Ricci-flat solutions in f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jose Mathew, Semin Xavier, S. Shankaranarayanan","submitted_at":"2020-03-11T07:22:48Z","abstract_excerpt":"We obtain an infinite number of exact static, Ricci-flat spherically symmetric vacuum solutions for a class of f(R) theories of gravity. We analytically derive two exact vacuum black-hole solutions for the same class of f(R) theories. The two black-hole solutions have the event-horizon at the same point; however, their asymptotic features are different. Our results suggest that no-hair theorem may not hold for generic modified gravity theories. We discuss the implications of our work to distinguish modified gravity theories from general relativity in gravitational wave detections."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.05139","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.05139/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":"2003.05139","created_at":"2026-07-05T01:39:26.234043+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.05139v2","created_at":"2026-07-05T01:39:26.234043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.05139","created_at":"2026-07-05T01:39:26.234043+00:00"},{"alias_kind":"pith_short_12","alias_value":"5JC4N3J2GBCV","created_at":"2026-07-05T01:39:26.234043+00:00"},{"alias_kind":"pith_short_16","alias_value":"5JC4N3J2GBCVLQGK","created_at":"2026-07-05T01:39:26.234043+00:00"},{"alias_kind":"pith_short_8","alias_value":"5JC4N3J2","created_at":"2026-07-05T01:39:26.234043+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.23846","citing_title":"Primordial Black Holes: A Review of Formation and Evolution","ref_index":91,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6","json":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6.json","graph_json":"https://pith.science/api/pith-number/5JC4N3J2GBCVLQGKMKYYDR5SS6/graph.json","events_json":"https://pith.science/api/pith-number/5JC4N3J2GBCVLQGKMKYYDR5SS6/events.json","paper":"https://pith.science/paper/5JC4N3J2"},"agent_actions":{"view_html":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6","download_json":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6.json","view_paper":"https://pith.science/paper/5JC4N3J2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.05139&json=true","fetch_graph":"https://pith.science/api/pith-number/5JC4N3J2GBCVLQGKMKYYDR5SS6/graph.json","fetch_events":"https://pith.science/api/pith-number/5JC4N3J2GBCVLQGKMKYYDR5SS6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6/action/storage_attestation","attest_author":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6/action/author_attestation","sign_citation":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6/action/citation_signature","submit_replication":"https://pith.science/pith/5JC4N3J2GBCVLQGKMKYYDR5SS6/action/replication_record"}},"created_at":"2026-07-05T01:39:26.234043+00:00","updated_at":"2026-07-05T01:39:26.234043+00:00"}