{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:FG3KT4RW5QQ3JVA35UMQNSTIXD","short_pith_number":"pith:FG3KT4RW","canonical_record":{"source":{"id":"0901.0814","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-07T12:26:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1ada897051e089053e8532c2b55389d0189b3bb856b3d5d43df73d46dfdc59f1","abstract_canon_sha256":"6a46d243f674b2663305145be0a840086fa2e8ef72ebf8d10dfb8dedf625c23e"},"schema_version":"1.0"},"canonical_sha256":"29b6a9f236ec21b4d41bed1906ca68b8c5fc05bb19ad5fcb10a429b783347450","source":{"kind":"arxiv","id":"0901.0814","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0814","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0814v2","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0814","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"pith_short_12","alias_value":"FG3KT4RW5QQ3","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FG3KT4RW5QQ3JVA3","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FG3KT4RW","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:FG3KT4RW5QQ3JVA35UMQNSTIXD","target":"record","payload":{"canonical_record":{"source":{"id":"0901.0814","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-07T12:26:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1ada897051e089053e8532c2b55389d0189b3bb856b3d5d43df73d46dfdc59f1","abstract_canon_sha256":"6a46d243f674b2663305145be0a840086fa2e8ef72ebf8d10dfb8dedf625c23e"},"schema_version":"1.0"},"canonical_sha256":"29b6a9f236ec21b4d41bed1906ca68b8c5fc05bb19ad5fcb10a429b783347450","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:08.388132Z","signature_b64":"/+Ky479WYlenGFiFXjKtyECogqh3RY+4gd+jKXP+IjdUt9KgJ20vPAn8bLpPvFKePsA5A/Ql/BqEQLs7A2qcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29b6a9f236ec21b4d41bed1906ca68b8c5fc05bb19ad5fcb10a429b783347450","last_reissued_at":"2026-05-18T02:35:08.387629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:08.387629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.0814","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KU3vaRsG0f7PhZQtf1RAKba6udX+9ln7+04l2DeMGb89UsGmhE9zn1SVBr0abLxnLAx+e/K/jV0lARdR0CRlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:52:23.112710Z"},"content_sha256":"e5207602143cd34b63152c6232e25b4bedb1d03a3bc27d2eca1655a2f3c9fb17","schema_version":"1.0","event_id":"sha256:e5207602143cd34b63152c6232e25b4bedb1d03a3bc27d2eca1655a2f3c9fb17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:FG3KT4RW5QQ3JVA35UMQNSTIXD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"E. R. Bezerra de Mello, T. R. P. Caram\\^es","submitted_at":"2009-01-07T12:26:10Z","abstract_excerpt":"In this paper we investigate spherically symmetric vacuum solutions of $f(R)$ gravity in a higher dimensional spacetime. With this objective we construct a system of non-linear differential equations, whose solutions depend on the explicit form assumed for the function $F(R)=\\frac{df(R)}{dR}$. We explicit show that for specific classes of this function exact solutions from the field equations are obtained; also we find approximated results for the metric tensor for more general cases admitting $F(R)$ close to the unity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0814","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ps9WiU1raSnLWclYfzOS3H/pmG0fxpzwTUQLghbH5MmENcjPgBMvVVZyClbZazo/sOt7AzoOZKupb2ifgO4RCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:52:23.113059Z"},"content_sha256":"736c5af35742ffb3396c4c3339704485ecc13cd9b661feb0f4d7466bbe218f17","schema_version":"1.0","event_id":"sha256:736c5af35742ffb3396c4c3339704485ecc13cd9b661feb0f4d7466bbe218f17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FG3KT4RW5QQ3JVA35UMQNSTIXD/bundle.json","state_url":"https://pith.science/pith/FG3KT4RW5QQ3JVA35UMQNSTIXD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FG3KT4RW5QQ3JVA35UMQNSTIXD/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T19:52:23Z","links":{"resolver":"https://pith.science/pith/FG3KT4RW5QQ3JVA35UMQNSTIXD","bundle":"https://pith.science/pith/FG3KT4RW5QQ3JVA35UMQNSTIXD/bundle.json","state":"https://pith.science/pith/FG3KT4RW5QQ3JVA35UMQNSTIXD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FG3KT4RW5QQ3JVA35UMQNSTIXD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:FG3KT4RW5QQ3JVA35UMQNSTIXD","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":"6a46d243f674b2663305145be0a840086fa2e8ef72ebf8d10dfb8dedf625c23e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-07T12:26:10Z","title_canon_sha256":"1ada897051e089053e8532c2b55389d0189b3bb856b3d5d43df73d46dfdc59f1"},"schema_version":"1.0","source":{"id":"0901.0814","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0814","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0814v2","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0814","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"pith_short_12","alias_value":"FG3KT4RW5QQ3","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FG3KT4RW5QQ3JVA3","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FG3KT4RW","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:736c5af35742ffb3396c4c3339704485ecc13cd9b661feb0f4d7466bbe218f17","target":"graph","created_at":"2026-05-18T02:35:08Z","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":"In this paper we investigate spherically symmetric vacuum solutions of $f(R)$ gravity in a higher dimensional spacetime. With this objective we construct a system of non-linear differential equations, whose solutions depend on the explicit form assumed for the function $F(R)=\\frac{df(R)}{dR}$. We explicit show that for specific classes of this function exact solutions from the field equations are obtained; also we find approximated results for the metric tensor for more general cases admitting $F(R)$ close to the unity.","authors_text":"E. R. Bezerra de Mello, T. R. P. Caram\\^es","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-07T12:26:10Z","title":"Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0814","kind":"arxiv","version":2},"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:e5207602143cd34b63152c6232e25b4bedb1d03a3bc27d2eca1655a2f3c9fb17","target":"record","created_at":"2026-05-18T02:35:08Z","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":"6a46d243f674b2663305145be0a840086fa2e8ef72ebf8d10dfb8dedf625c23e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-07T12:26:10Z","title_canon_sha256":"1ada897051e089053e8532c2b55389d0189b3bb856b3d5d43df73d46dfdc59f1"},"schema_version":"1.0","source":{"id":"0901.0814","kind":"arxiv","version":2}},"canonical_sha256":"29b6a9f236ec21b4d41bed1906ca68b8c5fc05bb19ad5fcb10a429b783347450","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29b6a9f236ec21b4d41bed1906ca68b8c5fc05bb19ad5fcb10a429b783347450","first_computed_at":"2026-05-18T02:35:08.387629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:08.387629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/+Ky479WYlenGFiFXjKtyECogqh3RY+4gd+jKXP+IjdUt9KgJ20vPAn8bLpPvFKePsA5A/Ql/BqEQLs7A2qcDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:08.388132Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.0814","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5207602143cd34b63152c6232e25b4bedb1d03a3bc27d2eca1655a2f3c9fb17","sha256:736c5af35742ffb3396c4c3339704485ecc13cd9b661feb0f4d7466bbe218f17"],"state_sha256":"5373a64f784516ae3fc338fbbb8dc9590bcbdd87ae7c78c1b6a28c847fe3fbfd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tbu7rzFKYoXDiDqT0mmBX06fjSrqTgyJ3ecqFE3gZE/Z+97vrLmRqIsEfnVM6/pUwNMuM++Up6H1TJr9JR0/Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:52:23.115275Z","bundle_sha256":"594976654857f3be137494a3359074ea66b0a6e9b8da58bb8b3484e9a98d8647"}}