{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:XKM4LD7232POKNL43CV7IRWSA4","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":"ad53b125c4bef0e09127d4291dc926f9acb801a7da340ed805589646198bac38","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2007-05-03T01:07:47Z","title_canon_sha256":"555444a136112873c67d2167854055b64ff2ffe9fa5d3d35a4dd9a2baf71dbe9"},"schema_version":"1.0","source":{"id":"0705.0396","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.0396","created_at":"2026-07-04T17:27:20Z"},{"alias_kind":"arxiv_version","alias_value":"0705.0396v3","created_at":"2026-07-04T17:27:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.0396","created_at":"2026-07-04T17:27:20Z"},{"alias_kind":"pith_short_12","alias_value":"XKM4LD7232PO","created_at":"2026-07-04T17:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"XKM4LD7232POKNL4","created_at":"2026-07-04T17:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"XKM4LD72","created_at":"2026-07-04T17:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:b1dfd108adf9554aaae410fe9b109d727e704ef0062c198884e1dbf375b79a20","target":"graph","created_at":"2026-07-04T17:27:20Z","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/0705.0396/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We identify the class of f(R) dark energy models which have a viable cosmology, i.e. a matter dominated epoch followed by a late-time acceleration. The deviation from a LambdaCDM model (f=R-Lambda) is quantified by the function m=Rf_{,RR}/f_{,R}. The matter epoch corresponds to m(r=-1) simeq +0 (where r=-Rf_{,R}/f) while the accelerated attractor exists in the region 0<m<1. We find that the equation of state w_DE of all such ``viable'' f(R) models exhibits two features: w_DE diverges at some redshift z_{c} and crosses the cosmological constant boundary (``phantom crossing'') at a redshift z_{b","authors_text":"Luca Amendola, Shinji Tsujikawa","cross_cats":["gr-qc","hep-ph","hep-th"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2007-05-03T01:07:47Z","title":"Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.0396","kind":"arxiv","version":3},"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":"sha256:06746001a422069d2dc3ba0c22d7620fcecd5e4caee263df3f6c61ad585d9073","target":"record","created_at":"2026-07-04T17:27:20Z","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":"ad53b125c4bef0e09127d4291dc926f9acb801a7da340ed805589646198bac38","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2007-05-03T01:07:47Z","title_canon_sha256":"555444a136112873c67d2167854055b64ff2ffe9fa5d3d35a4dd9a2baf71dbe9"},"schema_version":"1.0","source":{"id":"0705.0396","kind":"arxiv","version":3}},"canonical_sha256":"ba99c58ffade9ee5357cd8abf446d207269f4776f513343d9b4b639e9ea18e28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba99c58ffade9ee5357cd8abf446d207269f4776f513343d9b4b639e9ea18e28","first_computed_at":"2026-07-04T17:27:20.166156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:27:20.166156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"06+Xq/S0FhjYi69VmPD9/K/c0fchGECeC2MRDD/95VA2M0Ugt6qNfIjeH3jfW0BIglEG/zijnWIL4KtrxRjgAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:27:20.166597Z","signed_message":"canonical_sha256_bytes"},"source_id":"0705.0396","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06746001a422069d2dc3ba0c22d7620fcecd5e4caee263df3f6c61ad585d9073","sha256:b1dfd108adf9554aaae410fe9b109d727e704ef0062c198884e1dbf375b79a20"],"state_sha256":"e79b67f07f848b1a3bb98d990e122e8ba98b7e6c549501abceafbc24ec4bf1ce"}