{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WSEFF6UREAFSA5FGKSEQU4XJIS","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":"3799fcc8c8083713591e558aa4d31a54415044b94474e78a95e507c22d8ef04d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-10T22:22:09Z","title_canon_sha256":"083df0fc9f885d798248900c8b78d85084f8f4a0925333c7be6b761c5697584e"},"schema_version":"1.0","source":{"id":"1806.03734","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.03734","created_at":"2026-05-18T00:13:42Z"},{"alias_kind":"arxiv_version","alias_value":"1806.03734v1","created_at":"2026-05-18T00:13:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.03734","created_at":"2026-05-18T00:13:42Z"},{"alias_kind":"pith_short_12","alias_value":"WSEFF6UREAFS","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WSEFF6UREAFSA5FG","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WSEFF6UR","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:78e66fb73e7533055a4c2aa571829a4fe1475988f25bca2515d21a38f8e43390","target":"graph","created_at":"2026-05-18T00:13:42Z","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":"Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem satisfying a Gevrey type bound. This article is inspired by recent work of Glatt-Holtz and Vicol.","authors_text":"Andrea Nahmod, Gigliola Staffilani, Klaus Widmayer, Tristan Buckmaster","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-10T22:22:09Z","title":"The Surface Quasi-Geostrophic Equation with Random Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.03734","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":"sha256:8a0d4e58953cdfeb8fee582c4315a13c1911b982b7d2a9e94715ac027c2a913d","target":"record","created_at":"2026-05-18T00:13:42Z","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":"3799fcc8c8083713591e558aa4d31a54415044b94474e78a95e507c22d8ef04d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-10T22:22:09Z","title_canon_sha256":"083df0fc9f885d798248900c8b78d85084f8f4a0925333c7be6b761c5697584e"},"schema_version":"1.0","source":{"id":"1806.03734","kind":"arxiv","version":1}},"canonical_sha256":"b48852fa91200b2074a654890a72e944b3467e60086258420318a52bd2f303e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b48852fa91200b2074a654890a72e944b3467e60086258420318a52bd2f303e6","first_computed_at":"2026-05-18T00:13:42.176656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:42.176656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zZLp4vuqZwF7+PfWdPgZtyd4qXUs5jmTGtI9jt4oEqyx76o9SUxVJEBxhV6hhSBeCnhMLFb7dDvxTS5WBm2uDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:42.177423Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.03734","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a0d4e58953cdfeb8fee582c4315a13c1911b982b7d2a9e94715ac027c2a913d","sha256:78e66fb73e7533055a4c2aa571829a4fe1475988f25bca2515d21a38f8e43390"],"state_sha256":"69b886c4fca9a2578c86e6e5a8736388cfdd6b6a18cd579edaed0f2ba886a59d"}