{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:STEACAK35ZZ4YFISSEEFMI57TZ","short_pith_number":"pith:STEACAK3","schema_version":"1.0","canonical_sha256":"94c801015bee73cc151291085623bf9e7786afa2a8e8c81f6197a4ba8a3204da","source":{"kind":"arxiv","id":"2607.22126","version":1},"attestation_state":"computed","paper":{"title":"Dynamical and Observational Analysis of Generalized Nash's Theory of Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Amin Rezaei Akbarieh, Mohammad Amin Bolouri, Yaghoub Heydarzade","submitted_at":"2026-07-24T09:20:02Z","abstract_excerpt":"We investigate cosmic evolution in generalized Nash's theory of gravity involving the quadratic Ricci invariant $\\chi=R_{\\mu\\nu}R^{\\mu\\nu}$. The analysis is divided into two complementary branches. First, we study the power-law family $f(R,\\chi)=R^{\\alpha}+\\beta\\chi$ as a reduced autonomous system in a flat FLRW background. Because the adopted variables become singular at the Einstein--Hilbert limit $\\alpha=1$, the phase-space analysis is restricted to $\\alpha\\neq1$, with $\\alpha=2$ used as a representative quadratic benchmark. This benchmark contains radiation-like boundary configurations, re"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.22126","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-24T09:20:02Z","cross_cats_sorted":[],"title_canon_sha256":"a5bdfd9cecce4081f271432ef9b2756bc5af978253221581258a0607e21681d4","abstract_canon_sha256":"2b61e8803918a62cc7c6959ec94436a2f31776f08283c03f2cdd4e9b8bea6c84"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-27T01:20:49.456230Z","signature_b64":"fHHJ1U8ClWtA/z0mPjQrTj7+OvNbSkg5ba/dw2+TrzQulmW247EjwCTwlzDu391g+Jrhltn8DGtnBjwB+5UqAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94c801015bee73cc151291085623bf9e7786afa2a8e8c81f6197a4ba8a3204da","last_reissued_at":"2026-07-27T01:20:49.455350Z","signature_status":"signed_v1","first_computed_at":"2026-07-27T01:20:49.455350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical and Observational Analysis of Generalized Nash's Theory of Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Amin Rezaei Akbarieh, Mohammad Amin Bolouri, Yaghoub Heydarzade","submitted_at":"2026-07-24T09:20:02Z","abstract_excerpt":"We investigate cosmic evolution in generalized Nash's theory of gravity involving the quadratic Ricci invariant $\\chi=R_{\\mu\\nu}R^{\\mu\\nu}$. The analysis is divided into two complementary branches. First, we study the power-law family $f(R,\\chi)=R^{\\alpha}+\\beta\\chi$ as a reduced autonomous system in a flat FLRW background. Because the adopted variables become singular at the Einstein--Hilbert limit $\\alpha=1$, the phase-space analysis is restricted to $\\alpha\\neq1$, with $\\alpha=2$ used as a representative quadratic benchmark. This benchmark contains radiation-like boundary configurations, re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.22126","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.22126/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.22126","created_at":"2026-07-27T01:20:49.455820+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.22126v1","created_at":"2026-07-27T01:20:49.455820+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.22126","created_at":"2026-07-27T01:20:49.455820+00:00"},{"alias_kind":"pith_short_12","alias_value":"STEACAK35ZZ4","created_at":"2026-07-27T01:20:49.455820+00:00"},{"alias_kind":"pith_short_16","alias_value":"STEACAK35ZZ4YFIS","created_at":"2026-07-27T01:20:49.455820+00:00"},{"alias_kind":"pith_short_8","alias_value":"STEACAK3","created_at":"2026-07-27T01:20:49.455820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ","json":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ.json","graph_json":"https://pith.science/api/pith-number/STEACAK35ZZ4YFISSEEFMI57TZ/graph.json","events_json":"https://pith.science/api/pith-number/STEACAK35ZZ4YFISSEEFMI57TZ/events.json","paper":"https://pith.science/paper/STEACAK3"},"agent_actions":{"view_html":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ","download_json":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ.json","view_paper":"https://pith.science/paper/STEACAK3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.22126&json=true","fetch_graph":"https://pith.science/api/pith-number/STEACAK35ZZ4YFISSEEFMI57TZ/graph.json","fetch_events":"https://pith.science/api/pith-number/STEACAK35ZZ4YFISSEEFMI57TZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ/action/storage_attestation","attest_author":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ/action/author_attestation","sign_citation":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ/action/citation_signature","submit_replication":"https://pith.science/pith/STEACAK35ZZ4YFISSEEFMI57TZ/action/replication_record"}},"created_at":"2026-07-27T01:20:49.455820+00:00","updated_at":"2026-07-27T01:20:49.455820+00:00"}