{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:4B4NRK67UNT4M3RY3D5CMVFSXX","short_pith_number":"pith:4B4NRK67","schema_version":"1.0","canonical_sha256":"e078d8abdfa367c66e38d8fa2654b2bdee1b0c6322760377eb29ea1c05dfce3b","source":{"kind":"arxiv","id":"1603.05113","version":1},"attestation_state":"computed","paper":{"title":"Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Matthew Wright, S.D. Odintsov, Sebastian Bahamonde, V.K. Oikonomou","submitted_at":"2016-03-16T14:18:59Z","abstract_excerpt":"We study the finite time singularity correspondence between the Jordan and Einstein frames for various $F(R)$ gravity theories. Particularly we investigate the ordinary pure $F(R)$ gravity case and the unimodular $F(R)$ gravity cases, in the absence of any matter fluids. In the ordinary $F(R)$ gravity cases, by using specific illustrative examples, we show that it is possible to have various correspondences of finite time singularities, and in some cases it is possible a singular cosmology in one frame might be non-singular in the other frame. In the unimodular $F(R)$ gravity case, the unimodu"},"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":"1603.05113","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-16T14:18:59Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"76754209c958f5a6b7afb462cdb40c2f1027e76d6e9a3eb8ba97172ea417c12b","abstract_canon_sha256":"6227465685b8f746e8aea139c705ae71632ff8607fa6c72c31c6f353017f522c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:11.567122Z","signature_b64":"CjRJIOdDu/cGHiK2euKxG4kJnMkmB/o/ESb8woRAXrv6ZfT6JmK2OiTHSVKMqB2EW7dHVEDc9U5YgsShZmpWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e078d8abdfa367c66e38d8fa2654b2bdee1b0c6322760377eb29ea1c05dfce3b","last_reissued_at":"2026-05-18T01:08:11.566607Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:11.566607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Matthew Wright, S.D. Odintsov, Sebastian Bahamonde, V.K. Oikonomou","submitted_at":"2016-03-16T14:18:59Z","abstract_excerpt":"We study the finite time singularity correspondence between the Jordan and Einstein frames for various $F(R)$ gravity theories. Particularly we investigate the ordinary pure $F(R)$ gravity case and the unimodular $F(R)$ gravity cases, in the absence of any matter fluids. In the ordinary $F(R)$ gravity cases, by using specific illustrative examples, we show that it is possible to have various correspondences of finite time singularities, and in some cases it is possible a singular cosmology in one frame might be non-singular in the other frame. In the unimodular $F(R)$ gravity case, the unimodu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05113","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":"1603.05113","created_at":"2026-05-18T01:08:11.566687+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.05113v1","created_at":"2026-05-18T01:08:11.566687+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05113","created_at":"2026-05-18T01:08:11.566687+00:00"},{"alias_kind":"pith_short_12","alias_value":"4B4NRK67UNT4","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"4B4NRK67UNT4M3RY","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"4B4NRK67","created_at":"2026-05-18T12:29:58.707656+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2510.08201","citing_title":"Spectrum of pure $R^2$ gravity: full Hamiltonian analysis","ref_index":17,"is_internal_anchor":true},{"citing_arxiv_id":"1705.11098","citing_title":"Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution","ref_index":296,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX","json":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX.json","graph_json":"https://pith.science/api/pith-number/4B4NRK67UNT4M3RY3D5CMVFSXX/graph.json","events_json":"https://pith.science/api/pith-number/4B4NRK67UNT4M3RY3D5CMVFSXX/events.json","paper":"https://pith.science/paper/4B4NRK67"},"agent_actions":{"view_html":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX","download_json":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX.json","view_paper":"https://pith.science/paper/4B4NRK67","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.05113&json=true","fetch_graph":"https://pith.science/api/pith-number/4B4NRK67UNT4M3RY3D5CMVFSXX/graph.json","fetch_events":"https://pith.science/api/pith-number/4B4NRK67UNT4M3RY3D5CMVFSXX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/action/storage_attestation","attest_author":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/action/author_attestation","sign_citation":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/action/citation_signature","submit_replication":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/action/replication_record"}},"created_at":"2026-05-18T01:08:11.566687+00:00","updated_at":"2026-05-18T01:08:11.566687+00:00"}