{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:GUTO4IL653IX5QFLPUCLOBPQ5J","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":"6c8561d71d541ba15ec73843dcc5ecc443d7836bf0450e780937f6823b680d85","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-11-02T17:46:23Z","title_canon_sha256":"7fa52ebe18a25fda139351ef22126ea6a7dd8fd3d9189df0f5ca11742277c0c5"},"schema_version":"1.0","source":{"id":"2211.01769","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.01769","created_at":"2026-07-05T05:12:59Z"},{"alias_kind":"arxiv_version","alias_value":"2211.01769v1","created_at":"2026-07-05T05:12:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.01769","created_at":"2026-07-05T05:12:59Z"},{"alias_kind":"pith_short_12","alias_value":"GUTO4IL653IX","created_at":"2026-07-05T05:12:59Z"},{"alias_kind":"pith_short_16","alias_value":"GUTO4IL653IX5QFL","created_at":"2026-07-05T05:12:59Z"},{"alias_kind":"pith_short_8","alias_value":"GUTO4IL6","created_at":"2026-07-05T05:12:59Z"}],"graph_snapshots":[{"event_id":"sha256:cc3627e0607784d8781132658986978227169fb95221934a5e69b9c628afc6d7","target":"graph","created_at":"2026-07-05T05:12:59Z","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/2211.01769/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Some sixty years ago Buchdahl pioneered a program in search of static spherically symmetric vacua for pure $R^{2}$ gravity (Nuovo Cimento, Vol 23, No 1, pp 141-157 (1962); [https://link.springer.com/article/10.1007/BF02733549]). Surpassing several obstacles, his work culminated in a non-linear second-order ordinary differential equation (ODE) which required being solved. However Buchdahl deemed the ODE intractable and prematurely abandoned his pursuit for an analytical solution. We have finally managed to break this six-decades-old impasse and accomplish his goal. Reformulating the Buchdahl OD","authors_text":"Hoang Ky Nguyen","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-11-02T17:46:23Z","title":"Beyond Schwarzschild-de Sitter spacetimes: I. A new exhaustive class of metrics inspired by Buchdahl for pure $R^2$ gravity in a compact form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.01769","kind":"arxiv","version":1},"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":"sha256:0f6eb7ea0038516dc824c8a8c43d5c5df6590f7901d24e3b8fbc883ff01985f4","target":"record","created_at":"2026-07-05T05:12:59Z","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":"6c8561d71d541ba15ec73843dcc5ecc443d7836bf0450e780937f6823b680d85","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-11-02T17:46:23Z","title_canon_sha256":"7fa52ebe18a25fda139351ef22126ea6a7dd8fd3d9189df0f5ca11742277c0c5"},"schema_version":"1.0","source":{"id":"2211.01769","kind":"arxiv","version":1}},"canonical_sha256":"3526ee217eeed17ec0ab7d04b705f0ea47561c9ea9a4de4da0fdcaf7590e9d5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3526ee217eeed17ec0ab7d04b705f0ea47561c9ea9a4de4da0fdcaf7590e9d5a","first_computed_at":"2026-07-05T05:12:59.914915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:12:59.914915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kNKZWnmqzxJQpmKqO5FGAuvhjEdWIf8YmdSH0riEGGjnJygj4+brlpEk60y0ZiWcQ8TVN4sEet3ObyoQWAa8Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:12:59.915343Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.01769","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f6eb7ea0038516dc824c8a8c43d5c5df6590f7901d24e3b8fbc883ff01985f4","sha256:cc3627e0607784d8781132658986978227169fb95221934a5e69b9c628afc6d7"],"state_sha256":"73f7e886f6d1a2a4556c319058371000eb7e25f8013a841beae3f17892f2d7b3"}