{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4B4NRK67UNT4M3RY3D5CMVFSXX","short_pith_number":"pith:4B4NRK67","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"},"canonical_sha256":"e078d8abdfa367c66e38d8fa2654b2bdee1b0c6322760377eb29ea1c05dfce3b","source":{"kind":"arxiv","id":"1603.05113","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05113","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05113v1","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05113","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"pith_short_12","alias_value":"4B4NRK67UNT4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4B4NRK67UNT4M3RY","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4B4NRK67","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4B4NRK67UNT4M3RY3D5CMVFSXX","target":"record","payload":{"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"},"canonical_sha256":"e078d8abdfa367c66e38d8fa2654b2bdee1b0c6322760377eb29ea1c05dfce3b","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"},"source_kind":"arxiv","source_id":"1603.05113","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4dQmitu3fDetX2xZuktsRNgyd/yyZWGLYNoJwKQQkwYH6OuB5yF5w9KFq9mzpG5JD+NLSPCk0sSamhVX9XDnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T05:08:50.944166Z"},"content_sha256":"bf998ea12042168275ecbd290a80ec89cce334995a03eed5130258f66d175af5","schema_version":"1.0","event_id":"sha256:bf998ea12042168275ecbd290a80ec89cce334995a03eed5130258f66d175af5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4B4NRK67UNT4M3RY3D5CMVFSXX","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5mCkg71xt+6wVBqioa1QD9pvz/Zb6XSbhlTEPA/qrWura1kO3PjiobVouDDX0AnPEeXRhn/p8dSsuX7v9ujVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T05:08:50.944619Z"},"content_sha256":"fb5176fd321dee55ce09d282872b53a7ca7557b77817248c01d376f7ba299418","schema_version":"1.0","event_id":"sha256:fb5176fd321dee55ce09d282872b53a7ca7557b77817248c01d376f7ba299418"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/bundle.json","state_url":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-23T05:08:50Z","links":{"resolver":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX","bundle":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/bundle.json","state":"https://pith.science/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4B4NRK67UNT4M3RY3D5CMVFSXX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4B4NRK67UNT4M3RY3D5CMVFSXX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6227465685b8f746e8aea139c705ae71632ff8607fa6c72c31c6f353017f522c","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-16T14:18:59Z","title_canon_sha256":"76754209c958f5a6b7afb462cdb40c2f1027e76d6e9a3eb8ba97172ea417c12b"},"schema_version":"1.0","source":{"id":"1603.05113","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05113","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05113v1","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05113","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"pith_short_12","alias_value":"4B4NRK67UNT4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4B4NRK67UNT4M3RY","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4B4NRK67","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:fb5176fd321dee55ce09d282872b53a7ca7557b77817248c01d376f7ba299418","target":"graph","created_at":"2026-05-18T01:08:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Matthew Wright, S.D. Odintsov, Sebastian Bahamonde, V.K. Oikonomou","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-16T14:18:59Z","title":"Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05113","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bf998ea12042168275ecbd290a80ec89cce334995a03eed5130258f66d175af5","target":"record","created_at":"2026-05-18T01:08:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6227465685b8f746e8aea139c705ae71632ff8607fa6c72c31c6f353017f522c","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-16T14:18:59Z","title_canon_sha256":"76754209c958f5a6b7afb462cdb40c2f1027e76d6e9a3eb8ba97172ea417c12b"},"schema_version":"1.0","source":{"id":"1603.05113","kind":"arxiv","version":1}},"canonical_sha256":"e078d8abdfa367c66e38d8fa2654b2bdee1b0c6322760377eb29ea1c05dfce3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e078d8abdfa367c66e38d8fa2654b2bdee1b0c6322760377eb29ea1c05dfce3b","first_computed_at":"2026-05-18T01:08:11.566607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:11.566607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CjRJIOdDu/cGHiK2euKxG4kJnMkmB/o/ESb8woRAXrv6ZfT6JmK2OiTHSVKMqB2EW7dHVEDc9U5YgsShZmpWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:11.567122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05113","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf998ea12042168275ecbd290a80ec89cce334995a03eed5130258f66d175af5","sha256:fb5176fd321dee55ce09d282872b53a7ca7557b77817248c01d376f7ba299418"],"state_sha256":"a27594d722b86bb7b6b9c3af605a09aef7b74c612ae6524e7de17413cff7432b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kQo5KY+e9y4cw6URntFRX2FDrz4npLcqdgk8kM4A/Js18UgNyBjuGlBiDxVCpyYY9kkaITD3iS1q7pm0lMZ7BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T05:08:50.947969Z","bundle_sha256":"84e1c0563e8fc9805b01a7f41b541a22b1a644b93c87d27d7ee27c4500e4eec3"}}