{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LUE7SBP3UNVPLO7S3AN37OO4DC","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":"67d75998baebefca224a75e729d8ae139d5b03e6837db6f740a57da2225bcbd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-29T04:38:46Z","title_canon_sha256":"bc32c3958d2fd643ab74fd9a9395d3b1c111c22512fcf57c84a66b8905ca82c8"},"schema_version":"1.0","source":{"id":"1408.5376","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5376","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5376v2","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5376","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"pith_short_12","alias_value":"LUE7SBP3UNVP","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LUE7SBP3UNVPLO7S","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LUE7SBP3","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:0fe7786a61289006a3d5fef821504d34d86e2d2891dc99efd46a331b592d6eed","target":"graph","created_at":"2026-05-18T02:32:30Z","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"},"paper":{"abstract_excerpt":"In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polinomial is $(t-k_1)^2(t-k_3)(t-k_4)$ or $(t-k_1)^3(t-k_4)$. We proved that in these cases, a hypersurface is biharmonic if and only if it is minimal.","authors_text":"Nurettin Cenk Turgay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-29T04:38:46Z","title":"Some classifications of biharmonic Lorentzian hypersurfaces in Minkowski 5-space $\\mathbb E^5_1$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5376","kind":"arxiv","version":2},"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":"sha256:9fc887a5283a037f50f75b342be053d4f403d201c880f32af7e7e91177dada56","target":"record","created_at":"2026-05-18T02:32:30Z","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":"67d75998baebefca224a75e729d8ae139d5b03e6837db6f740a57da2225bcbd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-29T04:38:46Z","title_canon_sha256":"bc32c3958d2fd643ab74fd9a9395d3b1c111c22512fcf57c84a66b8905ca82c8"},"schema_version":"1.0","source":{"id":"1408.5376","kind":"arxiv","version":2}},"canonical_sha256":"5d09f905fba36af5bbf2d81bbfb9dc1894f9f2fa7d9adb0d9f6c1ad7b152ebad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d09f905fba36af5bbf2d81bbfb9dc1894f9f2fa7d9adb0d9f6c1ad7b152ebad","first_computed_at":"2026-05-18T02:32:30.597447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:30.597447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FDjNW9xNoBrLrpieaFVlKAnM5U1l9FPb9HbWuJbSKf1+sKc4epGzYTKQWn5gLgA8ewCbl6WGhz9r5QI81FWiBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:30.597802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.5376","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fc887a5283a037f50f75b342be053d4f403d201c880f32af7e7e91177dada56","sha256:0fe7786a61289006a3d5fef821504d34d86e2d2891dc99efd46a331b592d6eed"],"state_sha256":"9c7b93c5ebd1d98fe0a0b8e0311a3c30276b5d0244df53a7942899fd19c76f57"}