{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QDONKSX2SLYDXXN24MOU2S2ADD","short_pith_number":"pith:QDONKSX2","canonical_record":{"source":{"id":"1710.07838","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-21T18:27:23Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"7e4a81ea97f6da5f7c73ae091953c8241bdb3f6274301de4e9615ca2c10dcc3e","abstract_canon_sha256":"da60d784452610f4963c02d363cbda9bd382c09d0ff976c5acd4278ae179803d"},"schema_version":"1.0"},"canonical_sha256":"80dcd54afa92f03bddbae31d4d4b4018e2630c0caac64b78e6b8448160f44859","source":{"kind":"arxiv","id":"1710.07838","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07838","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07838v1","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07838","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"QDONKSX2SLYD","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QDONKSX2SLYDXXN2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QDONKSX2","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QDONKSX2SLYDXXN24MOU2S2ADD","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07838","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-21T18:27:23Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"7e4a81ea97f6da5f7c73ae091953c8241bdb3f6274301de4e9615ca2c10dcc3e","abstract_canon_sha256":"da60d784452610f4963c02d363cbda9bd382c09d0ff976c5acd4278ae179803d"},"schema_version":"1.0"},"canonical_sha256":"80dcd54afa92f03bddbae31d4d4b4018e2630c0caac64b78e6b8448160f44859","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:59.303555Z","signature_b64":"Pe0NyMqRueTrCsl010P3WidNSfwEy41+IuWiALfhrWRb33aDLthyxCy+0qXHemVMWCgJFxp8oIyunTX9I/88Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80dcd54afa92f03bddbae31d4d4b4018e2630c0caac64b78e6b8448160f44859","last_reissued_at":"2026-05-18T00:29:59.303015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:59.303015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07838","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":"2026-05-18T00:29:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"61zEopkPD2L5Wh6bKMiMHude9pPLxKJBBa95o+WR8efjRvmS0zm+tmqa7y4UOsppNuhH7vuUxtutfl/adApbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:56:11.494615Z"},"content_sha256":"0cbf26e65a95084379246e72bd7fef7a516828a5f59154c501955f07bcf5f570","schema_version":"1.0","event_id":"sha256:0cbf26e65a95084379246e72bd7fef7a516828a5f59154c501955f07bcf5f570"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QDONKSX2SLYDXXN24MOU2S2ADD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"S.D. Odintsov, S. Nojiri, V.K. Oikonomou","submitted_at":"2017-10-21T18:27:23Z","abstract_excerpt":"We propose two new versions of ghost-free generalized $F(R)$ gravity with Lagrange multiplier constraint. The first version of such theory for a particular degenerate choice of the Lagrange multiplier, corresponds to mimetic $F(R)$ gravity. The second version of such theory is just the Jordan frame description of mimetic gravity with potential. As we demonstrate, it is possible to realize several cosmological scenarios in such theory. In particulary, de Sitter solutions may also be found."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07838","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":"2026-05-18T00:29:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F3jhswHHfTGt3XCvt4w1TH/9doNQe9VLAvmxtIo3qT12iqDU3kL8CDVZD8apPw31fcRKJaJfm9V18Qi01c17Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:56:11.495194Z"},"content_sha256":"4043fd257620601efbe49b733e7315e73d5aa4abd1c53e0c6930e8d910689fc7","schema_version":"1.0","event_id":"sha256:4043fd257620601efbe49b733e7315e73d5aa4abd1c53e0c6930e8d910689fc7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QDONKSX2SLYDXXN24MOU2S2ADD/bundle.json","state_url":"https://pith.science/pith/QDONKSX2SLYDXXN24MOU2S2ADD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QDONKSX2SLYDXXN24MOU2S2ADD/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":"2026-06-07T06:56:11Z","links":{"resolver":"https://pith.science/pith/QDONKSX2SLYDXXN24MOU2S2ADD","bundle":"https://pith.science/pith/QDONKSX2SLYDXXN24MOU2S2ADD/bundle.json","state":"https://pith.science/pith/QDONKSX2SLYDXXN24MOU2S2ADD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QDONKSX2SLYDXXN24MOU2S2ADD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QDONKSX2SLYDXXN24MOU2S2ADD","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":"da60d784452610f4963c02d363cbda9bd382c09d0ff976c5acd4278ae179803d","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-21T18:27:23Z","title_canon_sha256":"7e4a81ea97f6da5f7c73ae091953c8241bdb3f6274301de4e9615ca2c10dcc3e"},"schema_version":"1.0","source":{"id":"1710.07838","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07838","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07838v1","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07838","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"QDONKSX2SLYD","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QDONKSX2SLYDXXN2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QDONKSX2","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:4043fd257620601efbe49b733e7315e73d5aa4abd1c53e0c6930e8d910689fc7","target":"graph","created_at":"2026-05-18T00:29:59Z","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 propose two new versions of ghost-free generalized $F(R)$ gravity with Lagrange multiplier constraint. The first version of such theory for a particular degenerate choice of the Lagrange multiplier, corresponds to mimetic $F(R)$ gravity. The second version of such theory is just the Jordan frame description of mimetic gravity with potential. As we demonstrate, it is possible to realize several cosmological scenarios in such theory. In particulary, de Sitter solutions may also be found.","authors_text":"S.D. Odintsov, S. Nojiri, 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":"2017-10-21T18:27:23Z","title":"Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07838","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":"sha256:0cbf26e65a95084379246e72bd7fef7a516828a5f59154c501955f07bcf5f570","target":"record","created_at":"2026-05-18T00:29:59Z","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":"da60d784452610f4963c02d363cbda9bd382c09d0ff976c5acd4278ae179803d","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-21T18:27:23Z","title_canon_sha256":"7e4a81ea97f6da5f7c73ae091953c8241bdb3f6274301de4e9615ca2c10dcc3e"},"schema_version":"1.0","source":{"id":"1710.07838","kind":"arxiv","version":1}},"canonical_sha256":"80dcd54afa92f03bddbae31d4d4b4018e2630c0caac64b78e6b8448160f44859","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80dcd54afa92f03bddbae31d4d4b4018e2630c0caac64b78e6b8448160f44859","first_computed_at":"2026-05-18T00:29:59.303015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:59.303015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pe0NyMqRueTrCsl010P3WidNSfwEy41+IuWiALfhrWRb33aDLthyxCy+0qXHemVMWCgJFxp8oIyunTX9I/88Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:59.303555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07838","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cbf26e65a95084379246e72bd7fef7a516828a5f59154c501955f07bcf5f570","sha256:4043fd257620601efbe49b733e7315e73d5aa4abd1c53e0c6930e8d910689fc7"],"state_sha256":"d0857c1fe8183728811e373baae99598c57c256db9061ce6c417ef3fdf95aa56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u9N2+NFmK5MaZhUQJZioFGKAAyYr2VDbnEku81iQAVioa9kEuIv41hPeKw2/M7nLPP9bhyU8/wfa1P6VUO8CCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T06:56:11.497792Z","bundle_sha256":"bbf67add2516b9065614838d0cd9848f1866507459f249a6502497539be03933"}}