{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:X5TUPVZGAAN74OFQ7UG6KLCO3Z","short_pith_number":"pith:X5TUPVZG","schema_version":"1.0","canonical_sha256":"bf6747d726001bfe38b0fd0de52c4ede65ec03072ece04e2ff9d4b08afc7788b","source":{"kind":"arxiv","id":"1812.00938","version":1},"attestation_state":"computed","paper":{"title":"Linear cosmological perturbations in almost scale-invariant fourth-order gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Jorge L. Fuentes, Karim A. Malik, Usman A. Gillani","submitted_at":"2018-12-03T18:06:06Z","abstract_excerpt":"We study a class of almost scale-invariant modified gravity theories, using a particular form of $f(R, G) = \\alpha R^2 + \\beta G \\log G$ where $R$ and $G$ are the Ricci and Gauss-Bonnet scalars, respectively and $\\alpha$, $\\beta$ are arbitrary constants. We derive the Einstein-like field equations to first order in cosmological perturbation theory in longitudinal gauge."},"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":"1812.00938","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-12-03T18:06:06Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"dc14a7b1f3be72b177991de4dca7f380eb8b423e17f8b0dbeebc2ff6c7c1286a","abstract_canon_sha256":"ae8963c0c5f5dd5f15bd441a0b981b1aaf34010b828e21edea8621d72a700c28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:18.555956Z","signature_b64":"bpT1IaqionXmqpUQrSop3SrPA3pJYHsWyKbejn2kcgyy6iFjp/TNnPPD/jfOwKoixrFwtku+cgR3p0JExJqRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf6747d726001bfe38b0fd0de52c4ede65ec03072ece04e2ff9d4b08afc7788b","last_reissued_at":"2026-05-17T23:59:18.555531Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:18.555531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear cosmological perturbations in almost scale-invariant fourth-order gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Jorge L. Fuentes, Karim A. Malik, Usman A. Gillani","submitted_at":"2018-12-03T18:06:06Z","abstract_excerpt":"We study a class of almost scale-invariant modified gravity theories, using a particular form of $f(R, G) = \\alpha R^2 + \\beta G \\log G$ where $R$ and $G$ are the Ricci and Gauss-Bonnet scalars, respectively and $\\alpha$, $\\beta$ are arbitrary constants. We derive the Einstein-like field equations to first order in cosmological perturbation theory in longitudinal gauge."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00938","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":""},"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":"1812.00938","created_at":"2026-05-17T23:59:18.555595+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.00938v1","created_at":"2026-05-17T23:59:18.555595+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00938","created_at":"2026-05-17T23:59:18.555595+00:00"},{"alias_kind":"pith_short_12","alias_value":"X5TUPVZGAAN7","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"X5TUPVZGAAN74OFQ","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"X5TUPVZG","created_at":"2026-05-18T12:33:01.666342+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/X5TUPVZGAAN74OFQ7UG6KLCO3Z","json":"https://pith.science/pith/X5TUPVZGAAN74OFQ7UG6KLCO3Z.json","graph_json":"https://pith.science/api/pith-number/X5TUPVZGAAN74OFQ7UG6KLCO3Z/graph.json","events_json":"https://pith.science/api/pith-number/X5TUPVZGAAN74OFQ7UG6KLCO3Z/events.json","paper":"https://pith.science/paper/X5TUPVZG"},"agent_actions":{"view_html":"https://pith.science/pith/X5TUPVZGAAN74OFQ7UG6KLCO3Z","download_json":"https://pith.science/pith/X5TUPVZGAAN74OFQ7UG6KLCO3Z.json","view_paper":"https://pith.science/paper/X5TUPVZG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.00938&json=true","fetch_graph":"https://pith.science/api/pith-number/X5TUPVZGAAN74OFQ7UG6KLCO3Z/graph.json","fetch_events":"https://pith.science/api/pith-number/X5TUPVZGAAN74OFQ7UG6KLCO3Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X5TUPVZGAAN74OFQ7UG6KLCO3Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X5TUPVZGAAN74OFQ7UG6KLCO3Z/action/storage_attestation","attest_author":"https://pith.science/pith/X5TUPVZGAAN74OFQ7UG6KLCO3Z/action/author_attestation","sign_citation":"https://pith.science/pith/X5TUPVZGAAN74OFQ7UG6KLCO3Z/action/citation_signature","submit_replication":"https://pith.science/pith/X5TUPVZGAAN74OFQ7UG6KLCO3Z/action/replication_record"}},"created_at":"2026-05-17T23:59:18.555595+00:00","updated_at":"2026-05-17T23:59:18.555595+00:00"}