{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:UNUXVPUSH3VNYYDOTPZ3RI62DA","short_pith_number":"pith:UNUXVPUS","schema_version":"1.0","canonical_sha256":"a3697abe923eeadc606e9bf3b8a3da1801b7f3a1bda948fe19dc1123e8d29e26","source":{"kind":"arxiv","id":"1509.01664","version":1},"attestation_state":"computed","paper":{"title":"Spherically symmetric black holes in $f(R)$ gravity: Is geometric scalar hair supported ?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Luisa G. Jaime, Marcelo Salgado, Pedro Ca\\~nate","submitted_at":"2015-09-05T05:31:41Z","abstract_excerpt":"We discuss with a rather critical eye the current situation of black hole (BH) solutions in $f(R)$ gravity and shed light about its geometrical and physical significance. We also argue about the meaning, existence or lack thereof of a Birkhoff's theorem in this kind of modified gravity. We focus then on the analysis and quest of $non-trivial$ (i.e. hairy) $asymptotically\\,\\,flat$ (AF) BH solutions in static and spherically symmetric (SSS) spacetimes in vacuum having the property that the Ricci scalar does $not$ vanish identically in the domain of outer communication. To do so, we provide and e"},"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":"1509.01664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-05T05:31:41Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"ebc9155a4fc6307c525e3904dc1a1013c4979fc5a3b97d1b6cd60e82d6bbdfe4","abstract_canon_sha256":"4c540f414ef1dbcd35e52dd514c3b14cbe0d3c68a06c5539312bd67323805679"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:52.495565Z","signature_b64":"cd49fI//kVMDHfHYojapT6UkrLBkyeiEbMlE38PQf2HNlWnPNowdUAItRd3EdBxwYPJNhqTFi+m/floIgk4SCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3697abe923eeadc606e9bf3b8a3da1801b7f3a1bda948fe19dc1123e8d29e26","last_reissued_at":"2026-05-18T01:10:52.495041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:52.495041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spherically symmetric black holes in $f(R)$ gravity: Is geometric scalar hair supported ?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Luisa G. Jaime, Marcelo Salgado, Pedro Ca\\~nate","submitted_at":"2015-09-05T05:31:41Z","abstract_excerpt":"We discuss with a rather critical eye the current situation of black hole (BH) solutions in $f(R)$ gravity and shed light about its geometrical and physical significance. We also argue about the meaning, existence or lack thereof of a Birkhoff's theorem in this kind of modified gravity. We focus then on the analysis and quest of $non-trivial$ (i.e. hairy) $asymptotically\\,\\,flat$ (AF) BH solutions in static and spherically symmetric (SSS) spacetimes in vacuum having the property that the Ricci scalar does $not$ vanish identically in the domain of outer communication. To do so, we provide and e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01664","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":"1509.01664","created_at":"2026-05-18T01:10:52.495119+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.01664v1","created_at":"2026-05-18T01:10:52.495119+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01664","created_at":"2026-05-18T01:10:52.495119+00:00"},{"alias_kind":"pith_short_12","alias_value":"UNUXVPUSH3VN","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"UNUXVPUSH3VNYYDO","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"UNUXVPUS","created_at":"2026-05-18T12:29:44.643036+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/UNUXVPUSH3VNYYDOTPZ3RI62DA","json":"https://pith.science/pith/UNUXVPUSH3VNYYDOTPZ3RI62DA.json","graph_json":"https://pith.science/api/pith-number/UNUXVPUSH3VNYYDOTPZ3RI62DA/graph.json","events_json":"https://pith.science/api/pith-number/UNUXVPUSH3VNYYDOTPZ3RI62DA/events.json","paper":"https://pith.science/paper/UNUXVPUS"},"agent_actions":{"view_html":"https://pith.science/pith/UNUXVPUSH3VNYYDOTPZ3RI62DA","download_json":"https://pith.science/pith/UNUXVPUSH3VNYYDOTPZ3RI62DA.json","view_paper":"https://pith.science/paper/UNUXVPUS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.01664&json=true","fetch_graph":"https://pith.science/api/pith-number/UNUXVPUSH3VNYYDOTPZ3RI62DA/graph.json","fetch_events":"https://pith.science/api/pith-number/UNUXVPUSH3VNYYDOTPZ3RI62DA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UNUXVPUSH3VNYYDOTPZ3RI62DA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UNUXVPUSH3VNYYDOTPZ3RI62DA/action/storage_attestation","attest_author":"https://pith.science/pith/UNUXVPUSH3VNYYDOTPZ3RI62DA/action/author_attestation","sign_citation":"https://pith.science/pith/UNUXVPUSH3VNYYDOTPZ3RI62DA/action/citation_signature","submit_replication":"https://pith.science/pith/UNUXVPUSH3VNYYDOTPZ3RI62DA/action/replication_record"}},"created_at":"2026-05-18T01:10:52.495119+00:00","updated_at":"2026-05-18T01:10:52.495119+00:00"}