{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VDJLUSFUFDFL2OZSHINQICE5GS","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":"f300b89c3e524a874933c441378dd9c6b9657927a5a5182888b9bf0a078484f2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-23T09:30:34Z","title_canon_sha256":"c49e682f32193e124ff549a005f7baf645e19e220e788eb73c43c63e75a0ab75"},"schema_version":"1.0","source":{"id":"1508.05583","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.05583","created_at":"2026-05-18T01:34:52Z"},{"alias_kind":"arxiv_version","alias_value":"1508.05583v1","created_at":"2026-05-18T01:34:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.05583","created_at":"2026-05-18T01:34:52Z"},{"alias_kind":"pith_short_12","alias_value":"VDJLUSFUFDFL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VDJLUSFUFDFL2OZS","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VDJLUSFU","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:722e441f7fb2737371fc315c1c177a1e27698f5e3a13a333e1262fd7d5e407b1","target":"graph","created_at":"2026-05-18T01:34:52Z","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 consider nonlocal modification of the Einstein theory of gravity in framework of the pseudo-Riemannian geometry. The nonlocal term has the form $\\mathcal{H}(R) \\mathcal{F}(\\Box)\\mathcal {G}(R)$, where $\\mathcal{H}$ and $\\mathcal{G}$ are differentiable functions of the scalar curvature $R,$ and $ \\mathcal{F}(\\Box)= \\displaystyle \\sum_{n =0}^{\\infty} f_{n}\\Box^{n}$ is an analytic function of the d'Alambert operator $\\Box .$ Using calculus of variations of the action functional, we derived the corresponding equations of motion. The variation of action is induced by variation of the gravitation","authors_text":"Branko Dragovich, Ivan Dimitrijevic, Jelena Grujic, Zoran Rakic","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-23T09:30:34Z","title":"Some Cosmological Solutions of a Nonlocal Modified Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.05583","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":"sha256:483c1b01f81c41479fc3d572b34bdd4809c2096bd52408191167cd3477ff75ed","target":"record","created_at":"2026-05-18T01:34:52Z","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":"f300b89c3e524a874933c441378dd9c6b9657927a5a5182888b9bf0a078484f2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-23T09:30:34Z","title_canon_sha256":"c49e682f32193e124ff549a005f7baf645e19e220e788eb73c43c63e75a0ab75"},"schema_version":"1.0","source":{"id":"1508.05583","kind":"arxiv","version":1}},"canonical_sha256":"a8d2ba48b428cabd3b323a1b04089d348add911d7306cec08e13758ed054a4f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8d2ba48b428cabd3b323a1b04089d348add911d7306cec08e13758ed054a4f7","first_computed_at":"2026-05-18T01:34:52.151157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:52.151157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3bfBVAI+MyaXXVKAtFBKsSXWNGGSK6r83tKZLYZ24FiR7Z7p45D/yK5ekW1kL1yXRB+QGkPVGpKriN6Bvj3+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:52.151668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.05583","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:483c1b01f81c41479fc3d572b34bdd4809c2096bd52408191167cd3477ff75ed","sha256:722e441f7fb2737371fc315c1c177a1e27698f5e3a13a333e1262fd7d5e407b1"],"state_sha256":"3676c4a3f89c45c5077513bd1956b7f69e14bc7c1e522b2cd603f531b266a2b0"}