{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OBQFF5DCTUTXLYRPCIOWK7DFWA","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":"8928c4be5df2e4f08063103a7131b292f764f383f7c7812809400f2dea7dc184","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-05-23T18:18:02Z","title_canon_sha256":"66a2f67d3bafce40a94dbc63b71749f6bcd3e5be9c5e9b9acecee41fac77d2c3"},"schema_version":"1.0","source":{"id":"1105.4579","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4579","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4579v2","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4579","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"OBQFF5DCTUTX","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OBQFF5DCTUTXLYRP","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OBQFF5DC","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:31910afdfbfe810ea80b84f3275bd7fb33992db7219db8aec755210e58c16d11","target":"graph","created_at":"2026-05-18T04:12:54Z","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":"We investigate non-minimal $R^\\beta F^2$-type couplings of electromagnetic fields to gravity. We derive the field equations by a first order variational principle using the method of Lagrange multipliers. Then we present various static, spherically symmetric solutions describing the exterior fields in the vicinity of electrically charged massive bodies.","authors_text":"\\\"Ozcan Sert, Tekin Dereli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-05-23T18:18:02Z","title":"Non-minimal $R^\\beta F^2$-Coupled Electromagnetic Fields to Gravity and Static, Spherically Symmetric Solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4579","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":"sha256:4fa44b91d695d19ae141a929128373bfc3dccf71918d201a57ba3aa6a61fe998","target":"record","created_at":"2026-05-18T04:12:54Z","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":"8928c4be5df2e4f08063103a7131b292f764f383f7c7812809400f2dea7dc184","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-05-23T18:18:02Z","title_canon_sha256":"66a2f67d3bafce40a94dbc63b71749f6bcd3e5be9c5e9b9acecee41fac77d2c3"},"schema_version":"1.0","source":{"id":"1105.4579","kind":"arxiv","version":2}},"canonical_sha256":"706052f4629d2775e22f121d657c65b003fda37ba7fbd99190929df5df26603d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"706052f4629d2775e22f121d657c65b003fda37ba7fbd99190929df5df26603d","first_computed_at":"2026-05-18T04:12:54.504978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:54.504978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bvtqlcXneeV3Hg6qxBe9FWLNd5jVwybJVQOt48VWvrEUVtgVFt6MyHW8Mlj+0i6UZYDsoGh8uMx7BnQc+iv5Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:54.505573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.4579","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fa44b91d695d19ae141a929128373bfc3dccf71918d201a57ba3aa6a61fe998","sha256:31910afdfbfe810ea80b84f3275bd7fb33992db7219db8aec755210e58c16d11"],"state_sha256":"02b67688b5a350fab962f413901e015311bc7d15f910f6b86f56c31bd9db9eee"}