{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:J2WNLQFO4LUJF6545C3R5NKMOD","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":"9179625446d8338006c6493d4b196cb8b3c0ea2d4687440deb0681fe5a96f126","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-30T11:15:41Z","title_canon_sha256":"94d7163a32a95dbb4d69551216657b409e2b7c9509bbf3ddf4beea930db4702c"},"schema_version":"1.0","source":{"id":"2505.24470","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24470","created_at":"2026-07-05T11:12:50Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24470v1","created_at":"2026-07-05T11:12:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24470","created_at":"2026-07-05T11:12:50Z"},{"alias_kind":"pith_short_12","alias_value":"J2WNLQFO4LUJ","created_at":"2026-07-05T11:12:50Z"},{"alias_kind":"pith_short_16","alias_value":"J2WNLQFO4LUJF654","created_at":"2026-07-05T11:12:50Z"},{"alias_kind":"pith_short_8","alias_value":"J2WNLQFO","created_at":"2026-07-05T11:12:50Z"}],"graph_snapshots":[{"event_id":"sha256:89c90f5dfa9c60555d3f22ff8719591eaf915ffe34abcdfbf9657a99ab8d9e74","target":"graph","created_at":"2026-07-05T11:12:50Z","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/2505.24470/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Over the past century, General Relativity (GR) has been a cornerstone of gravitational theory. However, recent cosmological observations, such as the accelerated expansion of the Universe, challenge its completeness and the standard $\\Lambda$CDM model. This has motivated the development of alternative approaches, including dynamical dark energy and modifications to gravity. This thesis investigates the $f(R, L_m)$ gravity framework, which extends $f(R)$ gravity by introducing curvature-matter coupling, to address unresolved issues in modern cosmology.\n  Chapter 1 reviews the foundations of cos","authors_text":"Lakhan V. Jaybhaye","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-30T11:15:41Z","title":"Study of Curvature-Matter Coupling in Modified Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24470","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":"sha256:0420c32a66e52761e233e40880586344a3e0a6fbc827817afd197005cde7b465","target":"record","created_at":"2026-07-05T11:12:50Z","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":"9179625446d8338006c6493d4b196cb8b3c0ea2d4687440deb0681fe5a96f126","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-30T11:15:41Z","title_canon_sha256":"94d7163a32a95dbb4d69551216657b409e2b7c9509bbf3ddf4beea930db4702c"},"schema_version":"1.0","source":{"id":"2505.24470","kind":"arxiv","version":1}},"canonical_sha256":"4eacd5c0aee2e892fbbce8b71eb54c70cd78d9b7d705dd19dbb81bae97a17487","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4eacd5c0aee2e892fbbce8b71eb54c70cd78d9b7d705dd19dbb81bae97a17487","first_computed_at":"2026-07-05T11:12:50.357427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:50.357427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Ovb6oBr3f3QiH/bvPtpj1+75bXSiBpvl+HxkdeUqseX9aHSvrgE0PPHv0D2gHvrURPk2ea4WzNJcevokuMcDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:50.357947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.24470","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0420c32a66e52761e233e40880586344a3e0a6fbc827817afd197005cde7b465","sha256:89c90f5dfa9c60555d3f22ff8719591eaf915ffe34abcdfbf9657a99ab8d9e74"],"state_sha256":"1826dbc02003100f6d3f126c191db4d220a73084a149d79d7ff3db41070ab8d6"}