{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:FJV2RCL7YVNDULS565TTOFC4HX","short_pith_number":"pith:FJV2RCL7","schema_version":"1.0","canonical_sha256":"2a6ba8897fc55a3a2e5df76737145c3dd835c7bf4c3a4f4beeadfac2dcccd3aa","source":{"kind":"arxiv","id":"2305.12037","version":3},"attestation_state":"computed","paper":{"title":"Non-triviality of asymptotically flat Buchdahl-inspired metrics in pure $R^2$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hoang Ky Nguyen","submitted_at":"2023-05-19T23:36:37Z","abstract_excerpt":"In Phys. Rev. D $\\textbf{107}$, 104008 (2023) we reported a novel exact closed-form solution which describes asymptotically flat spacetimes in pure $R^2$ gravity. The solution is Ricci scalar flat, viz. $R\\equiv0$ everywhere. Whereas any metric with a null Ricci scalar would $\\textit{trivially}$ satisfy the $R^2$ vacuo field equation, $R\\left(R_{\\mu\\nu}-\\frac{1}{4}g_{\\mu\\nu}\\,R\\right)+g_{\\mu\\nu}\\,\\square\\,R-\\nabla_{\\mu}\\nabla_{\\nu}R=0$, in this article, we shall show that our solution satisfies a \"stronger\" version of the $R^2$ vacuo field equation, viz. $R_{\\mu\\nu}-\\frac{1}{4}g_{\\mu\\nu}\\,R+R^"},"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":"2305.12037","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-05-19T23:36:37Z","cross_cats_sorted":[],"title_canon_sha256":"c2bcaac1557fd657199a41ce75f81ee6eb16503dd0093bc77bef0dfac853ad3c","abstract_canon_sha256":"fbe619f2cc771912ef91ffe30b90c8e72f5f4b5a0d8d0328cde0cabbcb05384d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:40:53.411000Z","signature_b64":"JFU9opa0TPDZSm1MMq2tSYADaFR5naCllCGXFDmHsL678s+Nr0VOruQFCcdYMHrjbSgMe+nx/eBGWdhKRCTOBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a6ba8897fc55a3a2e5df76737145c3dd835c7bf4c3a4f4beeadfac2dcccd3aa","last_reissued_at":"2026-07-05T08:40:53.410660Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:40:53.410660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-triviality of asymptotically flat Buchdahl-inspired metrics in pure $R^2$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hoang Ky Nguyen","submitted_at":"2023-05-19T23:36:37Z","abstract_excerpt":"In Phys. Rev. D $\\textbf{107}$, 104008 (2023) we reported a novel exact closed-form solution which describes asymptotically flat spacetimes in pure $R^2$ gravity. The solution is Ricci scalar flat, viz. $R\\equiv0$ everywhere. Whereas any metric with a null Ricci scalar would $\\textit{trivially}$ satisfy the $R^2$ vacuo field equation, $R\\left(R_{\\mu\\nu}-\\frac{1}{4}g_{\\mu\\nu}\\,R\\right)+g_{\\mu\\nu}\\,\\square\\,R-\\nabla_{\\mu}\\nabla_{\\nu}R=0$, in this article, we shall show that our solution satisfies a \"stronger\" version of the $R^2$ vacuo field equation, viz. $R_{\\mu\\nu}-\\frac{1}{4}g_{\\mu\\nu}\\,R+R^"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.12037","kind":"arxiv","version":3},"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/2305.12037/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":"2305.12037","created_at":"2026-07-05T08:40:53.410714+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.12037v3","created_at":"2026-07-05T08:40:53.410714+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.12037","created_at":"2026-07-05T08:40:53.410714+00:00"},{"alias_kind":"pith_short_12","alias_value":"FJV2RCL7YVND","created_at":"2026-07-05T08:40:53.410714+00:00"},{"alias_kind":"pith_short_16","alias_value":"FJV2RCL7YVNDULS5","created_at":"2026-07-05T08:40:53.410714+00:00"},{"alias_kind":"pith_short_8","alias_value":"FJV2RCL7","created_at":"2026-07-05T08:40:53.410714+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.10198","citing_title":"Epicyclic oscillations and accretion disk around a special Buchdahl-inspired spacetime","ref_index":51,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX","json":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX.json","graph_json":"https://pith.science/api/pith-number/FJV2RCL7YVNDULS565TTOFC4HX/graph.json","events_json":"https://pith.science/api/pith-number/FJV2RCL7YVNDULS565TTOFC4HX/events.json","paper":"https://pith.science/paper/FJV2RCL7"},"agent_actions":{"view_html":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX","download_json":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX.json","view_paper":"https://pith.science/paper/FJV2RCL7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.12037&json=true","fetch_graph":"https://pith.science/api/pith-number/FJV2RCL7YVNDULS565TTOFC4HX/graph.json","fetch_events":"https://pith.science/api/pith-number/FJV2RCL7YVNDULS565TTOFC4HX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX/action/storage_attestation","attest_author":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX/action/author_attestation","sign_citation":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX/action/citation_signature","submit_replication":"https://pith.science/pith/FJV2RCL7YVNDULS565TTOFC4HX/action/replication_record"}},"created_at":"2026-07-05T08:40:53.410714+00:00","updated_at":"2026-07-05T08:40:53.410714+00:00"}