{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:WVU3YZW2X5QD42QBDEQN6FT3IX","short_pith_number":"pith:WVU3YZW2","schema_version":"1.0","canonical_sha256":"b569bc66dabf603e6a011920df167b45d6e46b17853966bf3ac201d15e75590c","source":{"kind":"arxiv","id":"2012.05711","version":1},"attestation_state":"computed","paper":{"title":"Non-trivial black hole solutions in $\\mathit{f(R)}$ gravitational theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"G.G.L. Nashed, S. Nojiri","submitted_at":"2020-12-09T09:37:18Z","abstract_excerpt":"Recent observation shows that general relativity (GR) is not valid in the strong regime. $\\mathit{f(R)}$ gravity where $\\mathit{R}$ is the Ricci scalar, is regarded to be one of good candidates able to cure the anomalies appeared in the conventional general relativity. In this realm, we apply the equation of motions of $\\mathit{f(R)}$ gravity to a spherically symmetric spacetime with two unknown functions and derive original black hole (BH) solutions without any constrains on the Ricci scalar as well as on the form of $\\mathit{f(R)}$ gravity. Those solutions depend on a convolution function an"},"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":"2012.05711","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-12-09T09:37:18Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"33d4eb08639d55e0f98b1d28040b969d1d6a315eb5fba81f746ef7f2f6b79aa5","abstract_canon_sha256":"68d9ad1d1e1cccb56c61ac35c2cb92196726b63cf795115c3e74ae3471130991"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:53:30.488413Z","signature_b64":"p0Nx7oJF/qQcI2ej46X3+eR92/ykKwa2veRI+xJ00hhQd0plynpiYEvCRzfhjCpsYE4TMFf2wzlaOOn+5yoWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b569bc66dabf603e6a011920df167b45d6e46b17853966bf3ac201d15e75590c","last_reissued_at":"2026-07-05T02:53:30.487988Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:53:30.487988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-trivial black hole solutions in $\\mathit{f(R)}$ gravitational theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"G.G.L. Nashed, S. Nojiri","submitted_at":"2020-12-09T09:37:18Z","abstract_excerpt":"Recent observation shows that general relativity (GR) is not valid in the strong regime. $\\mathit{f(R)}$ gravity where $\\mathit{R}$ is the Ricci scalar, is regarded to be one of good candidates able to cure the anomalies appeared in the conventional general relativity. In this realm, we apply the equation of motions of $\\mathit{f(R)}$ gravity to a spherically symmetric spacetime with two unknown functions and derive original black hole (BH) solutions without any constrains on the Ricci scalar as well as on the form of $\\mathit{f(R)}$ gravity. Those solutions depend on a convolution function an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.05711","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/2012.05711/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":"2012.05711","created_at":"2026-07-05T02:53:30.488038+00:00"},{"alias_kind":"arxiv_version","alias_value":"2012.05711v1","created_at":"2026-07-05T02:53:30.488038+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.05711","created_at":"2026-07-05T02:53:30.488038+00:00"},{"alias_kind":"pith_short_12","alias_value":"WVU3YZW2X5QD","created_at":"2026-07-05T02:53:30.488038+00:00"},{"alias_kind":"pith_short_16","alias_value":"WVU3YZW2X5QD42QB","created_at":"2026-07-05T02:53:30.488038+00:00"},{"alias_kind":"pith_short_8","alias_value":"WVU3YZW2","created_at":"2026-07-05T02:53:30.488038+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.02643","citing_title":"An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field","ref_index":115,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX","json":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX.json","graph_json":"https://pith.science/api/pith-number/WVU3YZW2X5QD42QBDEQN6FT3IX/graph.json","events_json":"https://pith.science/api/pith-number/WVU3YZW2X5QD42QBDEQN6FT3IX/events.json","paper":"https://pith.science/paper/WVU3YZW2"},"agent_actions":{"view_html":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX","download_json":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX.json","view_paper":"https://pith.science/paper/WVU3YZW2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2012.05711&json=true","fetch_graph":"https://pith.science/api/pith-number/WVU3YZW2X5QD42QBDEQN6FT3IX/graph.json","fetch_events":"https://pith.science/api/pith-number/WVU3YZW2X5QD42QBDEQN6FT3IX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX/action/storage_attestation","attest_author":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX/action/author_attestation","sign_citation":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX/action/citation_signature","submit_replication":"https://pith.science/pith/WVU3YZW2X5QD42QBDEQN6FT3IX/action/replication_record"}},"created_at":"2026-07-05T02:53:30.488038+00:00","updated_at":"2026-07-05T02:53:30.488038+00:00"}