{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y64RUUD4BEOYBQCYMWNK5Y2K5J","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":"8f7583e8d5babad44da777b8249cc27b1a2f2b7419d124fdbe6866def6be2e35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-07T15:19:46Z","title_canon_sha256":"fa077c6bb75426ac60a2d92a643ef9b19415d80be555bdfc5c8139a02092ca2a"},"schema_version":"1.0","source":{"id":"1803.02711","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02711","created_at":"2026-05-17T23:41:37Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02711v2","created_at":"2026-05-17T23:41:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02711","created_at":"2026-05-17T23:41:37Z"},{"alias_kind":"pith_short_12","alias_value":"Y64RUUD4BEOY","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y64RUUD4BEOYBQCY","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y64RUUD4","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:9ae0f1fc5a5cffe50410983c6181614f6dcc7586c696a18424b7b19c41751ef4","target":"graph","created_at":"2026-05-17T23:41:37Z","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 contrast to elliptic surfaces, the Fourier restriction problem for hypersurfaces of non-vanishing Gaussian curvature which admit principal curvatures of opposite signs is still hardly understood. In fact, even for 2-surfaces, the only case of a hyperbolic surface for which Fourier restriction estimates could be established that are analogous to the ones known for elliptic surfaces is the hyperbolic paraboloid or \"saddle\" z = xy. The bilinear method gave here sharp results for p > 10/3 (Lee 05, Vargas 05, Stovall 17), and this result was recently improved to p > 3.25 (Cho-Lee 17, Kim 17). Th","authors_text":"Ana Vargas, Detlef M\\\"uller, Stefan Buschenhenke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-07T15:19:46Z","title":"A Fourier restriction theorem for a perturbed hyperbolic paraboloid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02711","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":"sha256:97a59c6673a0c86979e9ef2fbeef0356a28afc590a1a1d68786f4accbfecf921","target":"record","created_at":"2026-05-17T23:41:37Z","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":"8f7583e8d5babad44da777b8249cc27b1a2f2b7419d124fdbe6866def6be2e35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-07T15:19:46Z","title_canon_sha256":"fa077c6bb75426ac60a2d92a643ef9b19415d80be555bdfc5c8139a02092ca2a"},"schema_version":"1.0","source":{"id":"1803.02711","kind":"arxiv","version":2}},"canonical_sha256":"c7b91a507c091d80c058659aaee34aea74ea220a6ef3825738b47564076b06cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7b91a507c091d80c058659aaee34aea74ea220a6ef3825738b47564076b06cf","first_computed_at":"2026-05-17T23:41:37.223436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:37.223436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VRawFmw1r/BPQoU9ThzKz+YOmw+ug6L2H355z3zSLOrr/kRpc9uJ38gjXpELXvdPXlfAkF+GbV+9Szor9SaDCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:37.224061Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02711","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97a59c6673a0c86979e9ef2fbeef0356a28afc590a1a1d68786f4accbfecf921","sha256:9ae0f1fc5a5cffe50410983c6181614f6dcc7586c696a18424b7b19c41751ef4"],"state_sha256":"2774ac94c3493c00bfe093bc794958ecc03cbb538e569d923c15f24eb9db22cb"}