{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:AGG6P5OKK32V7P6ELXEUUXY4EP","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":"686aa27604a38a960541d6460275c72278988a48a081e2cb11f1a5ad0b0b6737","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2005-03-17T18:23:40Z","title_canon_sha256":"43d871ac918619ea8de44ba9548b5d6caf0000ab64b28a47f20417c124196595"},"schema_version":"1.0","source":{"id":"gr-qc/0503076","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0503076","created_at":"2026-07-04T16:55:11Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0503076v2","created_at":"2026-07-04T16:55:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0503076","created_at":"2026-07-04T16:55:11Z"},{"alias_kind":"pith_short_12","alias_value":"AGG6P5OKK32V","created_at":"2026-07-04T16:55:11Z"},{"alias_kind":"pith_short_16","alias_value":"AGG6P5OKK32V7P6E","created_at":"2026-07-04T16:55:11Z"},{"alias_kind":"pith_short_8","alias_value":"AGG6P5OK","created_at":"2026-07-04T16:55:11Z"}],"graph_snapshots":[{"event_id":"sha256:85ea681c628ee3e562d42a3b0b0e488051bc112a01f0576d121c35806187526b","target":"graph","created_at":"2026-07-04T16:55:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/gr-qc/0503076/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish a new self-consistent system of equations for the gravitational and electromagnetic fields. The procedure is based on a non-minimal non-linear extension of the standard Einstein-Hilbert-Maxwell action. General properties of a three-parameter family of non-minimal linear models are discussed. In addition, we show explicitly, that a static spherically symmetric charged object can be described by a non-minimal model, second order in the derivatives of the metric, when the susceptibility tensor is proportional to the double-dual Riemann tensor","authors_text":"Alexander B. Balakin, Jos\\'e P. S. Lemos","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-03-17T18:23:40Z","title":"Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0503076","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:b8bd041be626e05a38bcf65d6bcf030e537649139b67417d3a662a7520337ab2","target":"record","created_at":"2026-07-04T16:55:11Z","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":"686aa27604a38a960541d6460275c72278988a48a081e2cb11f1a5ad0b0b6737","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2005-03-17T18:23:40Z","title_canon_sha256":"43d871ac918619ea8de44ba9548b5d6caf0000ab64b28a47f20417c124196595"},"schema_version":"1.0","source":{"id":"gr-qc/0503076","kind":"arxiv","version":2}},"canonical_sha256":"018de7f5ca56f55fbfc45dc94a5f1c23f948d171d37a3d12f301a9904074befc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"018de7f5ca56f55fbfc45dc94a5f1c23f948d171d37a3d12f301a9904074befc","first_computed_at":"2026-07-04T16:55:11.222497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:55:11.222497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3iNy+ruAThBTXoHEruoij6r2gtNnDxzScf/hV+p0FVx7qlin1vcjNIxBAKjLLrhyDmZpLkcrzWjIWXL+fjk3Ag==","signature_status":"signed_v1","signed_at":"2026-07-04T16:55:11.222890Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0503076","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8bd041be626e05a38bcf65d6bcf030e537649139b67417d3a662a7520337ab2","sha256:85ea681c628ee3e562d42a3b0b0e488051bc112a01f0576d121c35806187526b"],"state_sha256":"db8782210588723604738993f9aebdd32d90d0786a1bd777ab301609e74ef1c6"}