{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:FOLU6ULJP7J65RYKRJZHAI4O6F","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":"b2eea2ea3064eae9a4c1fa32180815749f63efcd9ce2fb05e2ace6665c6866c4","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-01-29T22:31:37Z","title_canon_sha256":"440df4e1e7ca0af96eaad9d14868a8e4af4e575ba5e860adf37e913195a4501c"},"schema_version":"1.0","source":{"id":"hep-th/0601213","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0601213","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0601213v5","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0601213","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"FOLU6ULJP7J6","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_16","alias_value":"FOLU6ULJP7J65RYK","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_8","alias_value":"FOLU6ULJ","created_at":"2026-07-04T15:49:58Z"}],"graph_snapshots":[{"event_id":"sha256:83b1a19082170db00886d68cffd363e7c7b88ca4f5d698bbb897dabae0a44942","target":"graph","created_at":"2026-07-04T15:49:58Z","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/hep-th/0601213/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review various modified gravities considered as gravitational alternative for dark energy. Specifically, we consider the versions of $f(R)$, $f(G)$ or $f(R,G)$ gravity, model with non-linear gravitational coupling or string-inspired model with Gauss-Bonnet-dilaton coupling in the late universe where they lead to cosmic speed-up. It is shown that some of such theories may pass the Solar System tests. On the same time, it is demonstrated that they have quite rich cosmological structure: they may naturally describe the effective (cosmological constant, quintessence or phantom) late-time era wi","authors_text":"S.D. Odintsov, S. Nojiri","cross_cats":["astro-ph","gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-01-29T22:31:37Z","title":"Introduction to Modified Gravity and Gravitational Alternative for Dark Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0601213","kind":"arxiv","version":5},"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":"sha256:84aeae2f7e359a900a9f6de6a72923d4aef2fc6f0a4823f08c1ab6ee597abb55","target":"record","created_at":"2026-07-04T15:49:58Z","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":"b2eea2ea3064eae9a4c1fa32180815749f63efcd9ce2fb05e2ace6665c6866c4","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-01-29T22:31:37Z","title_canon_sha256":"440df4e1e7ca0af96eaad9d14868a8e4af4e575ba5e860adf37e913195a4501c"},"schema_version":"1.0","source":{"id":"hep-th/0601213","kind":"arxiv","version":5}},"canonical_sha256":"2b974f51697fd3eec70a8a7270238ef1454c167bffef22eadf8b96902e0360bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b974f51697fd3eec70a8a7270238ef1454c167bffef22eadf8b96902e0360bf","first_computed_at":"2026-07-04T15:49:58.546780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:49:58.546780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kSyl0xZaljqnDCnD0BQRaNwMEbwEni21zYGGoxMuQNTKenQ9aFuKhslQmXhRlFLuDFXRFqL5EN6VnVj0utLMBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:49:58.547186Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0601213","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84aeae2f7e359a900a9f6de6a72923d4aef2fc6f0a4823f08c1ab6ee597abb55","sha256:83b1a19082170db00886d68cffd363e7c7b88ca4f5d698bbb897dabae0a44942"],"state_sha256":"6af6f2ce497e3983b8198d0612b6c59ea3752fb6a5acba081f931706ec79779d"}