{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4RRHGL4SL5DXLFUWTOTFT3I4YQ","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":"2b9c0a2d770298b6f7f79eb0fd6a9aeeddbcdde839f83836a7667482b14c4750","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-01-29T09:11:28Z","title_canon_sha256":"ac5952952ad814a94fdc1c538bca8a33b3296786ef4154160206d7b816e91f11"},"schema_version":"1.0","source":{"id":"1802.00738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00738","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00738v2","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00738","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"pith_short_12","alias_value":"4RRHGL4SL5DX","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4RRHGL4SL5DXLFUW","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4RRHGL4S","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:7aa9b336187a729b74320d44a08189d0f3cb509e5e58784ccff42ac15e569295","target":"graph","created_at":"2026-05-17T23:52:08Z","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":"Recently, a $4$-index generalization of the Einstein theory is proposed by Moulin (Eur. Phys. J. C 77, 878 (2017)). Using this method, we find the most general $2$-index field equations derivable from the Einstein-Hilbert action. The application of Newtonian limit, the role of gravitational coupling constant and the effects of the properties of ordinary energy-momentum tensor in obtaining a $4$-index gravity theory have been studied. We also address the results of building Weyl free $4$-index gravity theory. Our study displays that both the Einstein and Rastall theories can be obtained as the ","authors_text":"C. Corda, H. Moradpour, I. Licata, Ines G. Salako","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-01-29T09:11:28Z","title":"$4$-index theory of gravity and its relation with the violation of the energy-momentum conservation law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00738","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:c4ac86ad0b761b65e8d853e5dfce66969954a8f74714644af9fa9f33b32b4b90","target":"record","created_at":"2026-05-17T23:52:08Z","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":"2b9c0a2d770298b6f7f79eb0fd6a9aeeddbcdde839f83836a7667482b14c4750","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-01-29T09:11:28Z","title_canon_sha256":"ac5952952ad814a94fdc1c538bca8a33b3296786ef4154160206d7b816e91f11"},"schema_version":"1.0","source":{"id":"1802.00738","kind":"arxiv","version":2}},"canonical_sha256":"e462732f925f477596969ba659ed1cc43b3cdeb1ad7669d4a2812b59a09c4ee2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e462732f925f477596969ba659ed1cc43b3cdeb1ad7669d4a2812b59a09c4ee2","first_computed_at":"2026-05-17T23:52:08.103563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:08.103563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zQinpmmVuA1xL6r9hopNRJAOfiy1JGesPjz1ALNQxRK2v+/IeCy8XiTztufDitSkIC2Iwgv7k7i+NDj4aLy+CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:08.104149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.00738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4ac86ad0b761b65e8d853e5dfce66969954a8f74714644af9fa9f33b32b4b90","sha256:7aa9b336187a729b74320d44a08189d0f3cb509e5e58784ccff42ac15e569295"],"state_sha256":"c43a013fd92d56357545578cf758baa4f3846718c18bb11373768b03cb463a77"}