{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:VJM6TVWIPSVWBWNFEOU2RVJRSM","short_pith_number":"pith:VJM6TVWI","schema_version":"1.0","canonical_sha256":"aa59e9d6c87cab60d9a523a9a8d531933c218c04cf79793bfb2dad0b3dfbc340","source":{"kind":"arxiv","id":"2605.29814","version":1},"attestation_state":"computed","paper":{"title":"Modified Entropy from Action Principle","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Dehyadegari, A. Sheykhi","submitted_at":"2026-05-28T11:58:48Z","abstract_excerpt":"We propose a modified gravity theory by extending the Einstein-Hilbert action with an arbitrary function of the Ricci scalar and the Kretschmann scalar invariants. The resulting modified Friedmann equations for a spatially flat FRW universe are derived, which remain free of higher-order derivatives and reduce to the standard Friedmann equations in the limiting case. Employing the gravity-thermodynamics conjecture, we investigate the thermodynamic behavior at the apparent horizon and derive the corresponding modified entropy. Using the first law of thermodynamics together with the modified Frie"},"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":"2605.29814","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2026-05-28T11:58:48Z","cross_cats_sorted":[],"title_canon_sha256":"835fe857707b19c9f4eb06ec56fbb0e1bdddc0c07a14d5b78a5e9701332d0ae5","abstract_canon_sha256":"6f279704e808229f2b9db387712eb1338b6bfe3efe9449255fe3ecf1d11acbb2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T02:05:54.100090Z","signature_b64":"KGpp9o/zHZ3DyhhwCr1uuKW+cARIkOvDAc5/rg2H45IvjuyRexl8QwTc4XeA+gzoIQCTBv1nOB5IqppJa/SmAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa59e9d6c87cab60d9a523a9a8d531933c218c04cf79793bfb2dad0b3dfbc340","last_reissued_at":"2026-05-29T02:05:54.099219Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T02:05:54.099219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modified Entropy from Action Principle","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Dehyadegari, A. Sheykhi","submitted_at":"2026-05-28T11:58:48Z","abstract_excerpt":"We propose a modified gravity theory by extending the Einstein-Hilbert action with an arbitrary function of the Ricci scalar and the Kretschmann scalar invariants. The resulting modified Friedmann equations for a spatially flat FRW universe are derived, which remain free of higher-order derivatives and reduce to the standard Friedmann equations in the limiting case. Employing the gravity-thermodynamics conjecture, we investigate the thermodynamic behavior at the apparent horizon and derive the corresponding modified entropy. Using the first law of thermodynamics together with the modified Frie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29814","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/2605.29814/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":"2605.29814","created_at":"2026-05-29T02:05:54.099378+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.29814v1","created_at":"2026-05-29T02:05:54.099378+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29814","created_at":"2026-05-29T02:05:54.099378+00:00"},{"alias_kind":"pith_short_12","alias_value":"VJM6TVWIPSVW","created_at":"2026-05-29T02:05:54.099378+00:00"},{"alias_kind":"pith_short_16","alias_value":"VJM6TVWIPSVWBWNF","created_at":"2026-05-29T02:05:54.099378+00:00"},{"alias_kind":"pith_short_8","alias_value":"VJM6TVWI","created_at":"2026-05-29T02:05:54.099378+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/VJM6TVWIPSVWBWNFEOU2RVJRSM","json":"https://pith.science/pith/VJM6TVWIPSVWBWNFEOU2RVJRSM.json","graph_json":"https://pith.science/api/pith-number/VJM6TVWIPSVWBWNFEOU2RVJRSM/graph.json","events_json":"https://pith.science/api/pith-number/VJM6TVWIPSVWBWNFEOU2RVJRSM/events.json","paper":"https://pith.science/paper/VJM6TVWI"},"agent_actions":{"view_html":"https://pith.science/pith/VJM6TVWIPSVWBWNFEOU2RVJRSM","download_json":"https://pith.science/pith/VJM6TVWIPSVWBWNFEOU2RVJRSM.json","view_paper":"https://pith.science/paper/VJM6TVWI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.29814&json=true","fetch_graph":"https://pith.science/api/pith-number/VJM6TVWIPSVWBWNFEOU2RVJRSM/graph.json","fetch_events":"https://pith.science/api/pith-number/VJM6TVWIPSVWBWNFEOU2RVJRSM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VJM6TVWIPSVWBWNFEOU2RVJRSM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VJM6TVWIPSVWBWNFEOU2RVJRSM/action/storage_attestation","attest_author":"https://pith.science/pith/VJM6TVWIPSVWBWNFEOU2RVJRSM/action/author_attestation","sign_citation":"https://pith.science/pith/VJM6TVWIPSVWBWNFEOU2RVJRSM/action/citation_signature","submit_replication":"https://pith.science/pith/VJM6TVWIPSVWBWNFEOU2RVJRSM/action/replication_record"}},"created_at":"2026-05-29T02:05:54.099378+00:00","updated_at":"2026-05-29T02:05:54.099378+00:00"}