{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VWUPATXKJXLGT2DWRMODBRATR7","short_pith_number":"pith:VWUPATXK","schema_version":"1.0","canonical_sha256":"ada8f04eea4dd669e8768b1c30c4138ffbd72cb2320a6fc996b25893917ca511","source":{"kind":"arxiv","id":"1108.0767","version":2},"attestation_state":"computed","paper":{"title":"Cyclic, ekpyrotic and little rip universe in modified gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Diego Saez-Gomez, Sergei D. Odintsov, Shin'ichi Nojiri","submitted_at":"2011-08-03T07:31:24Z","abstract_excerpt":"We propose the reconstruction of $F(R)$ gravity in such a way that corresponding theory admits cyclic and ekpyrotic universe solutions. The number of explicit examples of such $F(R)$ model is found. The comparison with the reconstructed scalar-tensor theory is made. We also present $F(R)$ gravity which provides the little rip evolution and gives the realistic gravitational alternative for $\\Lambda$CDM cosmology. The time for little rip dissolution of bound structures in such theory is estimated. We demonstrate that transformed little rip $F(R)$ solution becomes qualitatively different cosmolog"},"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":"1108.0767","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-03T07:31:24Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"913cd6b39a5cc5fbac8da1efd1c1b7d136f7c89f04d02a071073ab8621c54f6b","abstract_canon_sha256":"fbe549dd6b133054590ae6d8fb7ff02eb3040d2eba1e57320efa229dfd78b8a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:03.741505Z","signature_b64":"XyE+zMIy9gpmT6/8RZM0v0OmdcpwcnrwfKqdxH56VOuRaC+VnmPlWIu8KmIxXUH8CASJhSI3M2FJnjNgQqKXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ada8f04eea4dd669e8768b1c30c4138ffbd72cb2320a6fc996b25893917ca511","last_reissued_at":"2026-05-18T02:01:03.740666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:03.740666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cyclic, ekpyrotic and little rip universe in modified gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Diego Saez-Gomez, Sergei D. Odintsov, Shin'ichi Nojiri","submitted_at":"2011-08-03T07:31:24Z","abstract_excerpt":"We propose the reconstruction of $F(R)$ gravity in such a way that corresponding theory admits cyclic and ekpyrotic universe solutions. The number of explicit examples of such $F(R)$ model is found. The comparison with the reconstructed scalar-tensor theory is made. We also present $F(R)$ gravity which provides the little rip evolution and gives the realistic gravitational alternative for $\\Lambda$CDM cosmology. The time for little rip dissolution of bound structures in such theory is estimated. We demonstrate that transformed little rip $F(R)$ solution becomes qualitatively different cosmolog"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0767","kind":"arxiv","version":2},"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":"1108.0767","created_at":"2026-05-18T02:01:03.740796+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.0767v2","created_at":"2026-05-18T02:01:03.740796+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0767","created_at":"2026-05-18T02:01:03.740796+00:00"},{"alias_kind":"pith_short_12","alias_value":"VWUPATXKJXLG","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VWUPATXKJXLGT2DW","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VWUPATXK","created_at":"2026-05-18T12:26:44.992195+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/VWUPATXKJXLGT2DWRMODBRATR7","json":"https://pith.science/pith/VWUPATXKJXLGT2DWRMODBRATR7.json","graph_json":"https://pith.science/api/pith-number/VWUPATXKJXLGT2DWRMODBRATR7/graph.json","events_json":"https://pith.science/api/pith-number/VWUPATXKJXLGT2DWRMODBRATR7/events.json","paper":"https://pith.science/paper/VWUPATXK"},"agent_actions":{"view_html":"https://pith.science/pith/VWUPATXKJXLGT2DWRMODBRATR7","download_json":"https://pith.science/pith/VWUPATXKJXLGT2DWRMODBRATR7.json","view_paper":"https://pith.science/paper/VWUPATXK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.0767&json=true","fetch_graph":"https://pith.science/api/pith-number/VWUPATXKJXLGT2DWRMODBRATR7/graph.json","fetch_events":"https://pith.science/api/pith-number/VWUPATXKJXLGT2DWRMODBRATR7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VWUPATXKJXLGT2DWRMODBRATR7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VWUPATXKJXLGT2DWRMODBRATR7/action/storage_attestation","attest_author":"https://pith.science/pith/VWUPATXKJXLGT2DWRMODBRATR7/action/author_attestation","sign_citation":"https://pith.science/pith/VWUPATXKJXLGT2DWRMODBRATR7/action/citation_signature","submit_replication":"https://pith.science/pith/VWUPATXKJXLGT2DWRMODBRATR7/action/replication_record"}},"created_at":"2026-05-18T02:01:03.740796+00:00","updated_at":"2026-05-18T02:01:03.740796+00:00"}