{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DW77UWLZAFGZYLHBGS4PGTKEJC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f82ef8064ab1dcb15267d027e831078dfb65605459667643cd40c56e1a5b059c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-23T12:14:25Z","title_canon_sha256":"ba453f672d3c9a9c0d0648efbfedeb01eea22517387cb28bb7a899d246c2bc56"},"schema_version":"1.0","source":{"id":"1001.4148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4148","created_at":"2026-05-18T04:13:45Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4148v1","created_at":"2026-05-18T04:13:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4148","created_at":"2026-05-18T04:13:45Z"},{"alias_kind":"pith_short_12","alias_value":"DW77UWLZAFGZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DW77UWLZAFGZYLHB","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DW77UWLZ","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:2c80f0f0c1d28966d4f3cfe07b1725795edc78846fa6b171ac5275b85616a4a7","target":"graph","created_at":"2026-05-18T04:13:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A static, asymptotically flat, spherically symmetric solutions is investigated in f(R) theories of gravity for a charged black hole. We have studied the weak field limit of f(R) gravity for the some f(R) model such as f(R) = R + epsilon h(R). In particular, weconsider the case lim_{R =0} {h(R)/ dh(R)/dR}=0 and find the space time metric for f(R) = R + {mu}^{4} /R and f(R) = R^{1-epsilon} theories of gravity far away a charged mass point.","authors_text":"A. Aghamohammadi, A.Vajdi, Kh. Saaidi, M. R.Abolhasani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-23T12:14:25Z","title":"Spherical Symmetric Solution in f(R) Model Around Charged Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4148","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:64d8e830ea850c9fbd387ecce8d936256d8b99f57a0ed733f051e00a013ebeed","target":"record","created_at":"2026-05-18T04:13:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f82ef8064ab1dcb15267d027e831078dfb65605459667643cd40c56e1a5b059c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-23T12:14:25Z","title_canon_sha256":"ba453f672d3c9a9c0d0648efbfedeb01eea22517387cb28bb7a899d246c2bc56"},"schema_version":"1.0","source":{"id":"1001.4148","kind":"arxiv","version":1}},"canonical_sha256":"1dbffa5979014d9c2ce134b8f34d44489b2e120b73dcff8315f3a7ff26a6255d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1dbffa5979014d9c2ce134b8f34d44489b2e120b73dcff8315f3a7ff26a6255d","first_computed_at":"2026-05-18T04:13:45.904374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:45.904374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pj0Ts/xw76FcFcR1tehyGPOsoSm0OyCpRFm2UxaaYHMCQxxpFh5peiBINzs2ni3gNDKtDEh7ZublWHjCpDvXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:45.904786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.4148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64d8e830ea850c9fbd387ecce8d936256d8b99f57a0ed733f051e00a013ebeed","sha256:2c80f0f0c1d28966d4f3cfe07b1725795edc78846fa6b171ac5275b85616a4a7"],"state_sha256":"43bf238707487298505b2925294e2a53e048d2700419cae84c8042c0744d070f"}