{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:B6EXOODW5QROGL3XVVRINQDHBW","short_pith_number":"pith:B6EXOODW","schema_version":"1.0","canonical_sha256":"0f89773876ec22e32f77ad6286c0670da994da8805768a1be14df9420884e5e5","source":{"kind":"arxiv","id":"2111.02660","version":4},"attestation_state":"computed","paper":{"title":"Compact Star in General $F(R)$ Gravity: Inevitable Degeneracy Problem and Non-Integer Power Correction","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Kota Numajiri, Shin'ichi Nojiri, Taishi Katsuragawa","submitted_at":"2021-11-04T06:57:40Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2111.02660","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-11-04T06:57:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"034d4028c03b74c5942a88def508b28095c7d0ec992d082184f7c25a0abe6017","abstract_canon_sha256":"a40a8884d238f9b4dc53da0d30cff9ecda159596c83f2003f6036459f6729334"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:06:53.001400Z","signature_b64":"X9tq2cyJ5U2NIQy6/JOHNuhUvrd7rUPOQ8N+P4Blsc+uFcvlpvTwJLo1kua2YyGR4sMOqN7Hs7PNSJB9Tj+DCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f89773876ec22e32f77ad6286c0670da994da8805768a1be14df9420884e5e5","last_reissued_at":"2026-07-05T05:06:53.000855Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:06:53.000855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compact Star in General $F(R)$ Gravity: Inevitable Degeneracy Problem and Non-Integer Power Correction","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Kota Numajiri, Shin'ichi Nojiri, Taishi Katsuragawa","submitted_at":"2021-11-04T06:57:40Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.02660","kind":"arxiv","version":4},"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/2111.02660/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2111.02660","created_at":"2026-07-05T05:06:53.000912+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.02660v4","created_at":"2026-07-05T05:06:53.000912+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.02660","created_at":"2026-07-05T05:06:53.000912+00:00"},{"alias_kind":"pith_short_12","alias_value":"B6EXOODW5QRO","created_at":"2026-07-05T05:06:53.000912+00:00"},{"alias_kind":"pith_short_16","alias_value":"B6EXOODW5QROGL3X","created_at":"2026-07-05T05:06:53.000912+00:00"},{"alias_kind":"pith_short_8","alias_value":"B6EXOODW","created_at":"2026-07-05T05:06:53.000912+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.12160","citing_title":"Nonstatic Reissner-Nordstr\\\"om metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation","ref_index":44,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW","json":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW.json","graph_json":"https://pith.science/api/pith-number/B6EXOODW5QROGL3XVVRINQDHBW/graph.json","events_json":"https://pith.science/api/pith-number/B6EXOODW5QROGL3XVVRINQDHBW/events.json","paper":"https://pith.science/paper/B6EXOODW"},"agent_actions":{"view_html":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW","download_json":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW.json","view_paper":"https://pith.science/paper/B6EXOODW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.02660&json=true","fetch_graph":"https://pith.science/api/pith-number/B6EXOODW5QROGL3XVVRINQDHBW/graph.json","fetch_events":"https://pith.science/api/pith-number/B6EXOODW5QROGL3XVVRINQDHBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW/action/storage_attestation","attest_author":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW/action/author_attestation","sign_citation":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW/action/citation_signature","submit_replication":"https://pith.science/pith/B6EXOODW5QROGL3XVVRINQDHBW/action/replication_record"}},"created_at":"2026-07-05T05:06:53.000912+00:00","updated_at":"2026-07-05T05:06:53.000912+00:00"}