{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AP437OX55DLWV3LYLUCK2LQVWG","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":"48e7d216334986ec49d32f9668d127bdcfd24486e9a8a1ae6676ea2066f4e269","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-12T12:52:17Z","title_canon_sha256":"54954b808e059ed7e4a34dc98073b88debe7d09732d22f33ed1b436b3a91c940"},"schema_version":"1.0","source":{"id":"1602.04213","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04213","created_at":"2026-05-18T01:20:51Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04213v1","created_at":"2026-05-18T01:20:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04213","created_at":"2026-05-18T01:20:51Z"},{"alias_kind":"pith_short_12","alias_value":"AP437OX55DLW","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AP437OX55DLWV3LY","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AP437OX5","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:164dd9ff8c8dd7e10396f5106a02a9d3d92c0e0ef10cce68a974158acc385025","target":"graph","created_at":"2026-05-18T01:20:51Z","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":"Einstein-Hilbert action with a determinantal invariant has been considered. The obtained field equation contains the \\texttt{inverse Ricci tensor}, $\\Re_{\\alpha\\beta}$. The linearized solution of invariant has been examined, and constant curvature space-time metric solution of the field equation gives different curvature constant for each values of $\\sigma$. $\\sigma=0$ gives a trivial solution for constant curvature, $R_{0}$.","authors_text":"Nurettin Pirinccioglu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-12T12:52:17Z","title":"Determinantal invariant gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04213","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":"sha256:3dd2590f0f89301c6db718168c0f7f3001596df320d71e63c0a0c9283a71d29d","target":"record","created_at":"2026-05-18T01:20:51Z","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":"48e7d216334986ec49d32f9668d127bdcfd24486e9a8a1ae6676ea2066f4e269","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-12T12:52:17Z","title_canon_sha256":"54954b808e059ed7e4a34dc98073b88debe7d09732d22f33ed1b436b3a91c940"},"schema_version":"1.0","source":{"id":"1602.04213","kind":"arxiv","version":1}},"canonical_sha256":"03f9bfbafde8d76aed785d04ad2e15b1b7f8bf04c8a89025314cbf8ce8865a48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03f9bfbafde8d76aed785d04ad2e15b1b7f8bf04c8a89025314cbf8ce8865a48","first_computed_at":"2026-05-18T01:20:51.558259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:51.558259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8RSiFkrqJKtfCDATG/9iZYj66Hajc8M4b6qXQM3RXo/IxNFR/rxzFknt/CnvXzQT3V4FOCNzJK/Ioc6L9WkgBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:51.558994Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04213","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3dd2590f0f89301c6db718168c0f7f3001596df320d71e63c0a0c9283a71d29d","sha256:164dd9ff8c8dd7e10396f5106a02a9d3d92c0e0ef10cce68a974158acc385025"],"state_sha256":"3ffd06adf367c9aa522d5aa245a1cc5aaeae163f51e80e733fc978b1b25d25dc"}