{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LIHYJJVFL5JIJOTS7TLYJA2FXN","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":"d2d459c658c6d8e43af697865c7a4db1be5af078e61811ef4db2536a3003d03c","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-22T10:01:34Z","title_canon_sha256":"2852ca7689a671e3980e4f20a9600c1c864c4cb6f814a350036b5d2b96d2599c"},"schema_version":"1.0","source":{"id":"1201.4546","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4546","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4546v3","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4546","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"LIHYJJVFL5JI","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LIHYJJVFL5JIJOTS","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LIHYJJVF","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:80b83e7a441f9cd29a808e63c392cf7946d1a8da32033044610ede9280f7d774","target":"graph","created_at":"2026-05-18T03:46:32Z","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":"The curvature singularity in viable f(R) gravity models is examined when the background density is dense. This singularity could be eliminated by adding the $R^{2}$ term in the Lagrangian. Some of cosmological consequences, in particular the source for the scalar mode of gravitational waves, are discussed.","authors_text":"Chao-Qiang Geng, Chung-Chi Lee, Louis Yang","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-22T10:01:34Z","title":"Singularity phenomena in viable f(R) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4546","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:e6f7c6dc16a3da9dc55bc6d727bb03f10a88669016e4c924912ca7a11c56b00c","target":"record","created_at":"2026-05-18T03:46:32Z","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":"d2d459c658c6d8e43af697865c7a4db1be5af078e61811ef4db2536a3003d03c","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-22T10:01:34Z","title_canon_sha256":"2852ca7689a671e3980e4f20a9600c1c864c4cb6f814a350036b5d2b96d2599c"},"schema_version":"1.0","source":{"id":"1201.4546","kind":"arxiv","version":3}},"canonical_sha256":"5a0f84a6a55f5284ba72fcd7848345bb627a2acb9f8c15617a441d7e99bfb6c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a0f84a6a55f5284ba72fcd7848345bb627a2acb9f8c15617a441d7e99bfb6c4","first_computed_at":"2026-05-18T03:46:32.398506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:32.398506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/MZ5Achl74sVUisZ5AdpVN0itgxi4SY/0cF5gnRLsE4w6yNx3AYxUoVsfPDvDYlFhUPUUFpD4SnJf2uAX/zADQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:32.399238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.4546","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6f7c6dc16a3da9dc55bc6d727bb03f10a88669016e4c924912ca7a11c56b00c","sha256:80b83e7a441f9cd29a808e63c392cf7946d1a8da32033044610ede9280f7d774"],"state_sha256":"61132998934cd6fc4f27b61cf0726b8f61eeb1a2d6eba3697722dda623436ac3"}