{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:GHZMKQBJYRE5U23TLYTVSOIHPB","short_pith_number":"pith:GHZMKQBJ","canonical_record":{"source":{"id":"2205.08599","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-05-17T19:37:59Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"2105eb8c22a53224832dbe85275934fdbfff6eeb989949e619c94d5b2f51e5b0","abstract_canon_sha256":"dd0285168d635c3ff7a9fc25ff2dde8e497416c9b216d3ed7c3a1455848afeb0"},"schema_version":"1.0"},"canonical_sha256":"31f2c54029c449da6b735e275939077860d2604f725697d97d63d754221406d6","source":{"kind":"arxiv","id":"2205.08599","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.08599","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"arxiv_version","alias_value":"2205.08599v1","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08599","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"pith_short_12","alias_value":"GHZMKQBJYRE5","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"pith_short_16","alias_value":"GHZMKQBJYRE5U23T","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"pith_short_8","alias_value":"GHZMKQBJ","created_at":"2026-07-05T04:54:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:GHZMKQBJYRE5U23TLYTVSOIHPB","target":"record","payload":{"canonical_record":{"source":{"id":"2205.08599","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-05-17T19:37:59Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"2105eb8c22a53224832dbe85275934fdbfff6eeb989949e619c94d5b2f51e5b0","abstract_canon_sha256":"dd0285168d635c3ff7a9fc25ff2dde8e497416c9b216d3ed7c3a1455848afeb0"},"schema_version":"1.0"},"canonical_sha256":"31f2c54029c449da6b735e275939077860d2604f725697d97d63d754221406d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:54:59.106087Z","signature_b64":"oO3Oe7a20Cda+iaspV7Jp77Owk1qTgEsOQY8Yf/nHeUqqXoOB8VAgGCtkFRwtKIS9z6LNmqf7/oESabSKvYfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31f2c54029c449da6b735e275939077860d2604f725697d97d63d754221406d6","last_reissued_at":"2026-07-05T04:54:59.105720Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:54:59.105720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.08599","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":"2026-07-05T04:54:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QeoVeW2C0WWLvL3XgJnd4N59BEuWSN7RKzaHH4uUHCHfD7E4Da1RhFUBZMexF0PyGGA6msSuyE6nud7YmvFTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T16:38:03.866532Z"},"content_sha256":"5f948794eeca19d83e14aefda6ca88a1daa1f5944a95b43c9221c0329549390a","schema_version":"1.0","event_id":"sha256:5f948794eeca19d83e14aefda6ca88a1daa1f5944a95b43c9221c0329549390a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:GHZMKQBJYRE5U23TLYTVSOIHPB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Panorama of Viable $F(R)$ Gravity Dark Energy Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Ifigeneia Giannakoudi, V.K. Oikonomou","submitted_at":"2022-05-17T19:37:59Z","abstract_excerpt":"In this work we shall study the late-time dynamics of several $F(R)$ gravity models. By appropriately expressing the field equations in terms of the redshift and of a statefinder function, we shall solve numerically the field equations using appropriate physical motivated initial conditions. We consider models which, by construction, are described by a nearly $R^2$-model at early epochs and we fine tune the parameters to achieve viability and compatibility with the latest Planck constraints at late times. Such models provide a unified description of inflation and dark energy era and notably a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08599","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.08599/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":"2026-07-05T04:54:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Um+GcPof2L5mhbPMPf8HFxemznDBvRrgLrcOTDQbjUZnyLsBXZYgG8cRJMFNFvugocLR17aXBEHKG9LiovNWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T16:38:03.867029Z"},"content_sha256":"14ec1f251c21db761839ee8378f32fe4ad57e3329884fa3688f27516e69a3e88","schema_version":"1.0","event_id":"sha256:14ec1f251c21db761839ee8378f32fe4ad57e3329884fa3688f27516e69a3e88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GHZMKQBJYRE5U23TLYTVSOIHPB/bundle.json","state_url":"https://pith.science/pith/GHZMKQBJYRE5U23TLYTVSOIHPB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GHZMKQBJYRE5U23TLYTVSOIHPB/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":"2026-08-21T16:38:03Z","links":{"resolver":"https://pith.science/pith/GHZMKQBJYRE5U23TLYTVSOIHPB","bundle":"https://pith.science/pith/GHZMKQBJYRE5U23TLYTVSOIHPB/bundle.json","state":"https://pith.science/pith/GHZMKQBJYRE5U23TLYTVSOIHPB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GHZMKQBJYRE5U23TLYTVSOIHPB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:GHZMKQBJYRE5U23TLYTVSOIHPB","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":"dd0285168d635c3ff7a9fc25ff2dde8e497416c9b216d3ed7c3a1455848afeb0","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-05-17T19:37:59Z","title_canon_sha256":"2105eb8c22a53224832dbe85275934fdbfff6eeb989949e619c94d5b2f51e5b0"},"schema_version":"1.0","source":{"id":"2205.08599","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.08599","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"arxiv_version","alias_value":"2205.08599v1","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08599","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"pith_short_12","alias_value":"GHZMKQBJYRE5","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"pith_short_16","alias_value":"GHZMKQBJYRE5U23T","created_at":"2026-07-05T04:54:59Z"},{"alias_kind":"pith_short_8","alias_value":"GHZMKQBJ","created_at":"2026-07-05T04:54:59Z"}],"graph_snapshots":[{"event_id":"sha256:14ec1f251c21db761839ee8378f32fe4ad57e3329884fa3688f27516e69a3e88","target":"graph","created_at":"2026-07-05T04:54:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2205.08599/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we shall study the late-time dynamics of several $F(R)$ gravity models. By appropriately expressing the field equations in terms of the redshift and of a statefinder function, we shall solve numerically the field equations using appropriate physical motivated initial conditions. We consider models which, by construction, are described by a nearly $R^2$-model at early epochs and we fine tune the parameters to achieve viability and compatibility with the latest Planck constraints at late times. Such models provide a unified description of inflation and dark energy era and notably a ","authors_text":"Ifigeneia Giannakoudi, V.K. Oikonomou","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-05-17T19:37:59Z","title":"A Panorama of Viable $F(R)$ Gravity Dark Energy Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08599","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":"sha256:5f948794eeca19d83e14aefda6ca88a1daa1f5944a95b43c9221c0329549390a","target":"record","created_at":"2026-07-05T04:54:59Z","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":"dd0285168d635c3ff7a9fc25ff2dde8e497416c9b216d3ed7c3a1455848afeb0","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-05-17T19:37:59Z","title_canon_sha256":"2105eb8c22a53224832dbe85275934fdbfff6eeb989949e619c94d5b2f51e5b0"},"schema_version":"1.0","source":{"id":"2205.08599","kind":"arxiv","version":1}},"canonical_sha256":"31f2c54029c449da6b735e275939077860d2604f725697d97d63d754221406d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31f2c54029c449da6b735e275939077860d2604f725697d97d63d754221406d6","first_computed_at":"2026-07-05T04:54:59.105720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:54:59.105720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oO3Oe7a20Cda+iaspV7Jp77Owk1qTgEsOQY8Yf/nHeUqqXoOB8VAgGCtkFRwtKIS9z6LNmqf7/oESabSKvYfDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:54:59.106087Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.08599","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f948794eeca19d83e14aefda6ca88a1daa1f5944a95b43c9221c0329549390a","sha256:14ec1f251c21db761839ee8378f32fe4ad57e3329884fa3688f27516e69a3e88"],"state_sha256":"7c60afb95c5c502562146a8e14ba2cbfeee1597cd7bb95d30b6d9177f77906cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UJP32cAW/UOYBVdvgw9g3RCrGP8Lxr7tkLtyG8I25J4V9YRdDnL7VJhFJPJW6RrpfQ5Ith460ynb7g+JqHXQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T16:38:03.871377Z","bundle_sha256":"2b431ee2e00d79020f69da145613742749605e75079c851af2cd4471b2202b15"}}