{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:OEGVKFGNQ2GZJ3IKMPAU4N476J","short_pith_number":"pith:OEGVKFGN","canonical_record":{"source":{"id":"0804.3519","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-04-22T12:37:53Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"8716c2995e60fcb915502421ed03b4a6e9a164f9405d7a5476e223f383687a8e","abstract_canon_sha256":"80964ae2c311c7e8ff8cc909f1d7d06e6c3bce5705b72382794724adecf9d92a"},"schema_version":"1.0"},"canonical_sha256":"710d5514cd868d94ed0a63c14e379ff2691606ceb76eb3fef08690a4ca62e49f","source":{"kind":"arxiv","id":"0804.3519","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3519","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3519v4","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3519","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"OEGVKFGNQ2GZ","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_16","alias_value":"OEGVKFGNQ2GZJ3IK","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_8","alias_value":"OEGVKFGN","created_at":"2026-07-04T15:30:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:OEGVKFGNQ2GZJ3IKMPAU4N476J","target":"record","payload":{"canonical_record":{"source":{"id":"0804.3519","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-04-22T12:37:53Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"8716c2995e60fcb915502421ed03b4a6e9a164f9405d7a5476e223f383687a8e","abstract_canon_sha256":"80964ae2c311c7e8ff8cc909f1d7d06e6c3bce5705b72382794724adecf9d92a"},"schema_version":"1.0"},"canonical_sha256":"710d5514cd868d94ed0a63c14e379ff2691606ceb76eb3fef08690a4ca62e49f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:30:02.837911Z","signature_b64":"0IkPZutoj1dYfG3d5IQkWtcM4THDazObbgg9wbpk4fu1MVoX9StKa31JSiN0AbpVElp7iXmbBFVAw2oKONtwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"710d5514cd868d94ed0a63c14e379ff2691606ceb76eb3fef08690a4ca62e49f","last_reissued_at":"2026-07-04T15:30:02.837498Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:30:02.837498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0804.3519","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:30:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mPV9yr/ImBUbYpivkL/wxP/GQjvBXcPgv4WjBSL2TncKNIZOE0NDxciRMdAiGCeV3YwNN4V24KbTMwPbmC/MDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T15:02:00.359508Z"},"content_sha256":"87a94431f34631b8da11c03f478354853449d6da7e9cb9757ef99449cde49814","schema_version":"1.0","event_id":"sha256:87a94431f34631b8da11c03f478354853449d6da7e9cb9757ef99449cde49814"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:OEGVKFGNQ2GZJ3IKMPAU4N476J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-th","authors_text":"Sergei D. Odintsov, Shin'ichi Nojiri","submitted_at":"2008-04-22T12:37:53Z","abstract_excerpt":"We study the future evolution of quintessence/phantom dominated epoch in modified $F(R)$-gravity which unifies the early-time inflation with late-time acceleration and which is consistent with observational tests. Using the reconstruction technique it is demonstrated that there are models where any known (Big Rip, II, III or IV Type) singularity may classically occur. From another side, in Einstein frame (scalar-tensor description) only IV Type singularity occurs. Near the singularity the classical description breaks up, it is demonstrated that quantum effects act against the singularity and m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3519","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0804.3519/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:30:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MDFhMiTBdRUWteohSoesuFN9+7zUYtHWqeyvJZ9R4lbp4QU/vGkKYxlY/6mxMZEo92sJLgc1PFrDcE2Y/2unBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T15:02:00.360035Z"},"content_sha256":"f7fd16ef03768d06d52f1254c76b7d1df4bee38d1fb0b884d1239e5e41a08290","schema_version":"1.0","event_id":"sha256:f7fd16ef03768d06d52f1254c76b7d1df4bee38d1fb0b884d1239e5e41a08290"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OEGVKFGNQ2GZJ3IKMPAU4N476J/bundle.json","state_url":"https://pith.science/pith/OEGVKFGNQ2GZJ3IKMPAU4N476J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OEGVKFGNQ2GZJ3IKMPAU4N476J/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":"2026-08-22T15:02:00Z","links":{"resolver":"https://pith.science/pith/OEGVKFGNQ2GZJ3IKMPAU4N476J","bundle":"https://pith.science/pith/OEGVKFGNQ2GZJ3IKMPAU4N476J/bundle.json","state":"https://pith.science/pith/OEGVKFGNQ2GZJ3IKMPAU4N476J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OEGVKFGNQ2GZJ3IKMPAU4N476J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:OEGVKFGNQ2GZJ3IKMPAU4N476J","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":"80964ae2c311c7e8ff8cc909f1d7d06e6c3bce5705b72382794724adecf9d92a","cross_cats_sorted":["astro-ph","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-04-22T12:37:53Z","title_canon_sha256":"8716c2995e60fcb915502421ed03b4a6e9a164f9405d7a5476e223f383687a8e"},"schema_version":"1.0","source":{"id":"0804.3519","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3519","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3519v4","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3519","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"OEGVKFGNQ2GZ","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_16","alias_value":"OEGVKFGNQ2GZJ3IK","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_8","alias_value":"OEGVKFGN","created_at":"2026-07-04T15:30:02Z"}],"graph_snapshots":[{"event_id":"sha256:f7fd16ef03768d06d52f1254c76b7d1df4bee38d1fb0b884d1239e5e41a08290","target":"graph","created_at":"2026-07-04T15:30:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0804.3519/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the future evolution of quintessence/phantom dominated epoch in modified $F(R)$-gravity which unifies the early-time inflation with late-time acceleration and which is consistent with observational tests. Using the reconstruction technique it is demonstrated that there are models where any known (Big Rip, II, III or IV Type) singularity may classically occur. From another side, in Einstein frame (scalar-tensor description) only IV Type singularity occurs. Near the singularity the classical description breaks up, it is demonstrated that quantum effects act against the singularity and m","authors_text":"Sergei D. Odintsov, Shin'ichi Nojiri","cross_cats":["astro-ph","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-04-22T12:37:53Z","title":"The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3519","kind":"arxiv","version":4},"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":"sha256:87a94431f34631b8da11c03f478354853449d6da7e9cb9757ef99449cde49814","target":"record","created_at":"2026-07-04T15:30:02Z","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":"80964ae2c311c7e8ff8cc909f1d7d06e6c3bce5705b72382794724adecf9d92a","cross_cats_sorted":["astro-ph","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-04-22T12:37:53Z","title_canon_sha256":"8716c2995e60fcb915502421ed03b4a6e9a164f9405d7a5476e223f383687a8e"},"schema_version":"1.0","source":{"id":"0804.3519","kind":"arxiv","version":4}},"canonical_sha256":"710d5514cd868d94ed0a63c14e379ff2691606ceb76eb3fef08690a4ca62e49f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"710d5514cd868d94ed0a63c14e379ff2691606ceb76eb3fef08690a4ca62e49f","first_computed_at":"2026-07-04T15:30:02.837498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:30:02.837498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0IkPZutoj1dYfG3d5IQkWtcM4THDazObbgg9wbpk4fu1MVoX9StKa31JSiN0AbpVElp7iXmbBFVAw2oKONtwBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:30:02.837911Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.3519","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87a94431f34631b8da11c03f478354853449d6da7e9cb9757ef99449cde49814","sha256:f7fd16ef03768d06d52f1254c76b7d1df4bee38d1fb0b884d1239e5e41a08290"],"state_sha256":"886d1663704148df1533c30f6914372e8ee8edfb1354017d1b93a7bfb335d703"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zxT/HVfMFyx607al6Z0J44tfSo+DAqKNvn75WE8zLO8PxugXqjdjorp5JPwU5NGHgh+fx3L1AqzX0nW9bBkkCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T15:02:00.364329Z","bundle_sha256":"a80dc616818f4a386ec8420847d137b286f335b0971a908bd3652a2b15cd7fa9"}}