{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JJ2OVHZ63XWQ2ZPTD6CPKUXD5I","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":"63c27633860756534c18fef310b98e3328cd0ff85dc951150027de5f653c0c16","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-06T02:43:29Z","title_canon_sha256":"247be8ac0d20d053943638062a4fd0a8e51229f1aaffeb7711d1889fd8777ec1"},"schema_version":"1.0","source":{"id":"1605.01804","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01804","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01804v1","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01804","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"pith_short_12","alias_value":"JJ2OVHZ63XWQ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JJ2OVHZ63XWQ2ZPT","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JJ2OVHZ6","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:11a65170b2d1a082722f0dd90ef20a9896eca498bdc81d07f4c59fea3c25abc4","target":"graph","created_at":"2026-05-18T01:08:17Z","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 the present study we are interested in the Davey-Stewartson equations (DSE) that model packets of surface and capillary-gravity waves. We focus on the elliptic-elliptic case, for which it is known that DSE may develop a finite-time singularity. We propose three systems of non-viscous regularization to the DSE in variety of parameter regimes under which the finite blow-up of solutions to the DSE occurs. We establish the global well-posedness of the regularized systems for all initial data. The regularized systems, which are inspired by the $\\alpha$-models of turbulence and therefore are call","authors_text":"Edriss S. Titi, Irma Hacinliyan, Yanqiu Guo","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-06T02:43:29Z","title":"Non-viscous Regularization of the Davey-Stewartson Equations: Analysis and Modulation Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01804","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:c70ec57bb9afa5a122808cf2f80d45321ffc944a7722593a4a2ef5d649e20e2c","target":"record","created_at":"2026-05-18T01:08:17Z","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":"63c27633860756534c18fef310b98e3328cd0ff85dc951150027de5f653c0c16","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-06T02:43:29Z","title_canon_sha256":"247be8ac0d20d053943638062a4fd0a8e51229f1aaffeb7711d1889fd8777ec1"},"schema_version":"1.0","source":{"id":"1605.01804","kind":"arxiv","version":1}},"canonical_sha256":"4a74ea9f3edded0d65f31f84f552e3ea1957ec25dffad6f5f8fd82bb7f432adc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a74ea9f3edded0d65f31f84f552e3ea1957ec25dffad6f5f8fd82bb7f432adc","first_computed_at":"2026-05-18T01:08:17.262029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:17.262029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SQcntNrr4YW9aamcNbiQ6G+f0pilyqXeuB6fjib1eqsS/OgX2bxrbdE9u8RPMh0B1qteRCGCjBmDfT6ceK3ICg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:17.262659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01804","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c70ec57bb9afa5a122808cf2f80d45321ffc944a7722593a4a2ef5d649e20e2c","sha256:11a65170b2d1a082722f0dd90ef20a9896eca498bdc81d07f4c59fea3c25abc4"],"state_sha256":"eee41497e743d2d5bf2c3276ef3db8730331d1d050a43875fa95f0f9dfba7e4d"}