{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:B6EXOODW5QROGL3XVVRINQDHBW","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":"a40a8884d238f9b4dc53da0d30cff9ecda159596c83f2003f6036459f6729334","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-11-04T06:57:40Z","title_canon_sha256":"034d4028c03b74c5942a88def508b28095c7d0ec992d082184f7c25a0abe6017"},"schema_version":"1.0","source":{"id":"2111.02660","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.02660","created_at":"2026-07-05T05:06:53Z"},{"alias_kind":"arxiv_version","alias_value":"2111.02660v4","created_at":"2026-07-05T05:06:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.02660","created_at":"2026-07-05T05:06:53Z"},{"alias_kind":"pith_short_12","alias_value":"B6EXOODW5QRO","created_at":"2026-07-05T05:06:53Z"},{"alias_kind":"pith_short_16","alias_value":"B6EXOODW5QROGL3X","created_at":"2026-07-05T05:06:53Z"},{"alias_kind":"pith_short_8","alias_value":"B6EXOODW","created_at":"2026-07-05T05:06:53Z"}],"graph_snapshots":[{"event_id":"sha256:8a66ce7c145bdd3dbc7b8faa1eb1502d4e630300c12ec7f03bec636e34071b15","target":"graph","created_at":"2026-07-05T05:06:53Z","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/2111.02660/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a compact star in the general $F(R)$ gravity. Developing a novel formulation in the spherically symmetric and static space-time with the matter, we confirm that an arbitrary relation between the mass $M$ and the radius $R_s$ of the compact star can be realized by adjusting the functional form of $F(R)$. Such a degeneracy with a choice of the equation of state (EOS) suggests that only mass-radius relation is insufficient to constrain the $F(R)$ gravity. Furthermore, by solving the differential equation for $\\left. \\frac{dF(R)}{dR}\\right|_{R=R(r)}$ near and inside the surface of t","authors_text":"Kota Numajiri, Shin'ichi Nojiri, Taishi Katsuragawa","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-11-04T06:57:40Z","title":"Compact Star in General $F(R)$ Gravity: Inevitable Degeneracy Problem and Non-Integer Power Correction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.02660","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:bd2a0508eb221df7397ac3e155c4c38d3327c13df639fc7e611ecf2c9322c706","target":"record","created_at":"2026-07-05T05:06:53Z","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":"a40a8884d238f9b4dc53da0d30cff9ecda159596c83f2003f6036459f6729334","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-11-04T06:57:40Z","title_canon_sha256":"034d4028c03b74c5942a88def508b28095c7d0ec992d082184f7c25a0abe6017"},"schema_version":"1.0","source":{"id":"2111.02660","kind":"arxiv","version":4}},"canonical_sha256":"0f89773876ec22e32f77ad6286c0670da994da8805768a1be14df9420884e5e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f89773876ec22e32f77ad6286c0670da994da8805768a1be14df9420884e5e5","first_computed_at":"2026-07-05T05:06:53.000855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:06:53.000855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X9tq2cyJ5U2NIQy6/JOHNuhUvrd7rUPOQ8N+P4Blsc+uFcvlpvTwJLo1kua2YyGR4sMOqN7Hs7PNSJB9Tj+DCg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:06:53.001400Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.02660","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd2a0508eb221df7397ac3e155c4c38d3327c13df639fc7e611ecf2c9322c706","sha256:8a66ce7c145bdd3dbc7b8faa1eb1502d4e630300c12ec7f03bec636e34071b15"],"state_sha256":"620d5a1fbe8ee43ffab3f0cd12a47ba0edb5edd190eaaeee17fbe830613ef9ec"}