{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:L46TETM5BEVUD2QB63NGFA6D3W","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":"a31188e012dd9b08cf055f33a288c2dc277bf1422a835f533ce3887c4b1db3e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-22T04:35:25Z","title_canon_sha256":"27a0890e97a5f264615589867a6e5e61a9e8a9f4f221463258fd91f81747bd1e"},"schema_version":"1.0","source":{"id":"2607.20575","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.20575","created_at":"2026-07-24T00:23:23Z"},{"alias_kind":"arxiv_version","alias_value":"2607.20575v1","created_at":"2026-07-24T00:23:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20575","created_at":"2026-07-24T00:23:23Z"},{"alias_kind":"pith_short_12","alias_value":"L46TETM5BEVU","created_at":"2026-07-24T00:23:23Z"},{"alias_kind":"pith_short_16","alias_value":"L46TETM5BEVUD2QB","created_at":"2026-07-24T00:23:23Z"},{"alias_kind":"pith_short_8","alias_value":"L46TETM5","created_at":"2026-07-24T00:23:23Z"}],"graph_snapshots":[{"event_id":"sha256:c94a03f9b1313efbc5493c8a3e2b5d98a6e6dbd17a779cddec7dabd3b0cc58cb","target":"graph","created_at":"2026-07-24T00:23:23Z","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/2607.20575/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A sixth-order gravity, which involves not only two leading terms, $\\gamma_1 R\\Box R$ and $\\gamma_2 R_{\\mu\\nu} \\Box R^{\\mu\\nu}$, but also quadratic curvature terms along with cubic curvature ones, will be investigated in this paper to see if it admits an exact stable de Sitter solution. First, we will derive sixth-order differential field equations of this gravity under the homogeneous and isotropic Friedmann-Lemaitre-Robertson-Walker background spacetime, using the effective method based on the Euler-Lagrange equations. Then, we will analytically solve these field equations to figure out an ex","authors_text":"Tuan Q. Do","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-22T04:35:25Z","title":"Unstable de Sitter inflationary solution in sixth-order gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20575","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:f9d5a85d006265aec3b908febab987b491b3edb4b529bf4280192e780b962406","target":"record","created_at":"2026-07-24T00:23:23Z","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":"a31188e012dd9b08cf055f33a288c2dc277bf1422a835f533ce3887c4b1db3e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-22T04:35:25Z","title_canon_sha256":"27a0890e97a5f264615589867a6e5e61a9e8a9f4f221463258fd91f81747bd1e"},"schema_version":"1.0","source":{"id":"2607.20575","kind":"arxiv","version":1}},"canonical_sha256":"5f3d324d9d092b41ea01f6da6283c3dd9d4847a4d8c4d7dc434ef61af6667ea2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f3d324d9d092b41ea01f6da6283c3dd9d4847a4d8c4d7dc434ef61af6667ea2","first_computed_at":"2026-07-24T00:23:23.418224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-24T00:23:23.418224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bzSWjJu6yrjwhekJXWXTr0VvUhYGRq6c1EiJDgcWXeJrqRKH1nLIJOSZlhHYo6yEYWSRpFHO8mmy3WbvQBGRDQ==","signature_status":"signed_v1","signed_at":"2026-07-24T00:23:23.419108Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.20575","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9d5a85d006265aec3b908febab987b491b3edb4b529bf4280192e780b962406","sha256:c94a03f9b1313efbc5493c8a3e2b5d98a6e6dbd17a779cddec7dabd3b0cc58cb"],"state_sha256":"24d6515d696e825c7c3d4135dc618b8dbb079fffafe064c81fd2fcfa92102c81"}