{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:73VHEMAF5PKVIIBZRBSNUBWTJZ","short_pith_number":"pith:73VHEMAF","schema_version":"1.0","canonical_sha256":"feea723005ebd55420398864da06d34e6686dfe0d7379f86f63ae26d49069502","source":{"kind":"arxiv","id":"1709.04860","version":1},"attestation_state":"computed","paper":{"title":"Inflationary f(R) cosmologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Amare Abebe, Heba Sami, Joseph Ntahompagaze","submitted_at":"2017-09-14T16:28:14Z","abstract_excerpt":"This paper discusses a simple procedure to reconstruct f (R)-gravity models from exact cosmological solutions of the Einstein field equations with a noninteracting classical scalar field-and-radiation background. From the kind of inflationary scenario we want, we show how the potential functions can be obtained. We then show how an f (R) gravitational Lagrangian density that mimics the same cosmological expansion as the scalar field-driven inflation of General Relativity can be reconstructed. As a demonstration, we calculate the slow-roll parameters (the spectral index n s and the tensor-to-sc"},"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":"1709.04860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-14T16:28:14Z","cross_cats_sorted":[],"title_canon_sha256":"f0e0ead7e413f8c5690a88e732408d90b51780cf73a52e78a568201a17ede6dd","abstract_canon_sha256":"626f82a71aab590a5ebf18616427e1ba586d523d4a688ded0faa5b66b13f22ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:09.827265Z","signature_b64":"n2OqzhHPZlADYuFXSnTnjAqidTHSBvHXq7nzyE4JTqRK2tA2YZBydQRmcL0vefjW+FEvDijc/bAa/5hqE/QoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"feea723005ebd55420398864da06d34e6686dfe0d7379f86f63ae26d49069502","last_reissued_at":"2026-05-18T00:35:09.826733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:09.826733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inflationary f(R) cosmologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Amare Abebe, Heba Sami, Joseph Ntahompagaze","submitted_at":"2017-09-14T16:28:14Z","abstract_excerpt":"This paper discusses a simple procedure to reconstruct f (R)-gravity models from exact cosmological solutions of the Einstein field equations with a noninteracting classical scalar field-and-radiation background. From the kind of inflationary scenario we want, we show how the potential functions can be obtained. We then show how an f (R) gravitational Lagrangian density that mimics the same cosmological expansion as the scalar field-driven inflation of General Relativity can be reconstructed. As a demonstration, we calculate the slow-roll parameters (the spectral index n s and the tensor-to-sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04860","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":"1709.04860","created_at":"2026-05-18T00:35:09.826811+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.04860v1","created_at":"2026-05-18T00:35:09.826811+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04860","created_at":"2026-05-18T00:35:09.826811+00:00"},{"alias_kind":"pith_short_12","alias_value":"73VHEMAF5PKV","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"73VHEMAF5PKVIIBZ","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"73VHEMAF","created_at":"2026-05-18T12:31:03.183658+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/73VHEMAF5PKVIIBZRBSNUBWTJZ","json":"https://pith.science/pith/73VHEMAF5PKVIIBZRBSNUBWTJZ.json","graph_json":"https://pith.science/api/pith-number/73VHEMAF5PKVIIBZRBSNUBWTJZ/graph.json","events_json":"https://pith.science/api/pith-number/73VHEMAF5PKVIIBZRBSNUBWTJZ/events.json","paper":"https://pith.science/paper/73VHEMAF"},"agent_actions":{"view_html":"https://pith.science/pith/73VHEMAF5PKVIIBZRBSNUBWTJZ","download_json":"https://pith.science/pith/73VHEMAF5PKVIIBZRBSNUBWTJZ.json","view_paper":"https://pith.science/paper/73VHEMAF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.04860&json=true","fetch_graph":"https://pith.science/api/pith-number/73VHEMAF5PKVIIBZRBSNUBWTJZ/graph.json","fetch_events":"https://pith.science/api/pith-number/73VHEMAF5PKVIIBZRBSNUBWTJZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/73VHEMAF5PKVIIBZRBSNUBWTJZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/73VHEMAF5PKVIIBZRBSNUBWTJZ/action/storage_attestation","attest_author":"https://pith.science/pith/73VHEMAF5PKVIIBZRBSNUBWTJZ/action/author_attestation","sign_citation":"https://pith.science/pith/73VHEMAF5PKVIIBZRBSNUBWTJZ/action/citation_signature","submit_replication":"https://pith.science/pith/73VHEMAF5PKVIIBZRBSNUBWTJZ/action/replication_record"}},"created_at":"2026-05-18T00:35:09.826811+00:00","updated_at":"2026-05-18T00:35:09.826811+00:00"}