{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WKDM3YO5ZFJ6B6LCEKQVHPBKY7","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":"f84c246a16218294745235a91449a143cfe60e026cbce8c085a235cd14483335","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-09T10:39:29Z","title_canon_sha256":"c616430e11a757b2cab41ab11fa9cccaa039b914fd92db0c5e6c5f7ec5d1c72f"},"schema_version":"1.0","source":{"id":"2506.07623","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.07623","created_at":"2026-07-05T11:24:22Z"},{"alias_kind":"arxiv_version","alias_value":"2506.07623v3","created_at":"2026-07-05T11:24:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.07623","created_at":"2026-07-05T11:24:22Z"},{"alias_kind":"pith_short_12","alias_value":"WKDM3YO5ZFJ6","created_at":"2026-07-05T11:24:22Z"},{"alias_kind":"pith_short_16","alias_value":"WKDM3YO5ZFJ6B6LC","created_at":"2026-07-05T11:24:22Z"},{"alias_kind":"pith_short_8","alias_value":"WKDM3YO5","created_at":"2026-07-05T11:24:22Z"}],"graph_snapshots":[{"event_id":"sha256:c846a745a1ecb293b36de059129deeddbc7b002f82b8d351f66fb58f9a784769","target":"graph","created_at":"2026-07-05T11:24:22Z","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/2506.07623/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the cosmological implications of a four-dimensional extension of the Gauss-Bonnet $f(G)$ gravity, where $G$ is the Gauss-Bonnet topological invariant, in which the Einstein-Hilbert action is replaced by an arbitrary function $f(R,G,T)$ of G, of the Ricci scalar $R$, and of the trace $T$ of the matter energy-momentum tensor. By construction, the extended Gauss-Bonnet type action involves a non-minimal coupling between matter and geometry. The field equations of the model are obtained by varying the action with respect to the metric. The generalized Friedmann equations, describing th","authors_text":"G. Mustafa, Himanshu Chaudhary, Ratul Mandal, Tiberiu Harko, Ujjal Debnath","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-09T10:39:29Z","title":"f(R, $G$, T) Gravity: Cosmological Implications and Dynamical System Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07623","kind":"arxiv","version":3},"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":"sha256:1dd79a5634de00349f6f117c0e5f4f2f79ed2ed14e3633d3c5aa1ee24a010dc5","target":"record","created_at":"2026-07-05T11:24:22Z","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":"f84c246a16218294745235a91449a143cfe60e026cbce8c085a235cd14483335","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-09T10:39:29Z","title_canon_sha256":"c616430e11a757b2cab41ab11fa9cccaa039b914fd92db0c5e6c5f7ec5d1c72f"},"schema_version":"1.0","source":{"id":"2506.07623","kind":"arxiv","version":3}},"canonical_sha256":"b286cde1ddc953e0f96222a153bc2ac7c547be3be60d325760c08ff8f70606b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b286cde1ddc953e0f96222a153bc2ac7c547be3be60d325760c08ff8f70606b9","first_computed_at":"2026-07-05T11:24:22.448941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:24:22.448941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4kQGgaK7VHxGT7/UIzxUlX/TOAM6btwDVLVzp5MG/PiJW6L0KIwjfMLfzaFZ3KemrIu7u/LAYoZrd7YDfenjCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:24:22.449438Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.07623","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dd79a5634de00349f6f117c0e5f4f2f79ed2ed14e3633d3c5aa1ee24a010dc5","sha256:c846a745a1ecb293b36de059129deeddbc7b002f82b8d351f66fb58f9a784769"],"state_sha256":"4209ab8e7c8105b234894b0cb523da58f46467260fcd1bcc0c7dd3cde5490cee"}