{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:K5XYHE4MBUWWKM2UYPH3TQLLJO","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":"398b10dd88589e7d917c8eab3e4d23a4908193a41914318e73ec5b27aacb342a","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-29T13:41:46Z","title_canon_sha256":"a436951cfb853863ff4256a417da35af31ccce5f76e350bf88699406af78c630"},"schema_version":"1.0","source":{"id":"1903.12521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.12521","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"arxiv_version","alias_value":"1903.12521v1","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.12521","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"pith_short_12","alias_value":"K5XYHE4MBUWW","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"K5XYHE4MBUWWKM2U","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"K5XYHE4M","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:df66d59abf3b691abf47a83288839a1ea2cd4a15d3bf5365953c6ffa2b4b8d0b","target":"graph","created_at":"2026-05-17T23:49:53Z","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 study field equations for a weak anisotropic model on the tangent Lorentz bundle $TM$ of a spacetime manifold. A geometrical extension of General Relativity (GR) is considered by introducing the concept of local anisotropy, i.e. a direct dependence of geometrical quantities on observer $4-$velocity. In this approach, we consider a metric on $TM$ as the sum of an h-Riemannian metric structure and a weak anisotropic perturbation, field equations with extra terms are obtained for this model. As well, extended Raychaudhuri equations are studied in the framework of Finsler-like extensions. Canon","authors_text":"A. Triantafyllopoulos, P.C. Stavrinos","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-29T13:41:46Z","title":"Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.12521","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":"sha256:4d627148bb731628a4236830c5bea0fb50ff551bdecef618c11b1c3882c56d8a","target":"record","created_at":"2026-05-17T23:49:53Z","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":"398b10dd88589e7d917c8eab3e4d23a4908193a41914318e73ec5b27aacb342a","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-29T13:41:46Z","title_canon_sha256":"a436951cfb853863ff4256a417da35af31ccce5f76e350bf88699406af78c630"},"schema_version":"1.0","source":{"id":"1903.12521","kind":"arxiv","version":1}},"canonical_sha256":"576f83938c0d2d653354c3cfb9c16b4ba3043c683c84a28dde9269a33056e71c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"576f83938c0d2d653354c3cfb9c16b4ba3043c683c84a28dde9269a33056e71c","first_computed_at":"2026-05-17T23:49:53.802185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:53.802185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vvyzTSSOCKHVa04VEVjS2l69Sk/W9/tHRBtLERZBSA4Qvb/XYdldlUtVxqHpq0t4Q5ONc2h6uvivBZTuXtSWCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:53.802559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.12521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d627148bb731628a4236830c5bea0fb50ff551bdecef618c11b1c3882c56d8a","sha256:df66d59abf3b691abf47a83288839a1ea2cd4a15d3bf5365953c6ffa2b4b8d0b"],"state_sha256":"78d7e3dd7b3be9ca1c830bc374d9f3e3ed67a48ae3c61bcd1ba8c5d8211bae02"}