{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JJ2OVHZ63XWQ2ZPTD6CPKUXD5I","short_pith_number":"pith:JJ2OVHZ6","canonical_record":{"source":{"id":"1605.01804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-06T02:43:29Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"247be8ac0d20d053943638062a4fd0a8e51229f1aaffeb7711d1889fd8777ec1","abstract_canon_sha256":"63c27633860756534c18fef310b98e3328cd0ff85dc951150027de5f653c0c16"},"schema_version":"1.0"},"canonical_sha256":"4a74ea9f3edded0d65f31f84f552e3ea1957ec25dffad6f5f8fd82bb7f432adc","source":{"kind":"arxiv","id":"1605.01804","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JJ2OVHZ63XWQ2ZPTD6CPKUXD5I","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-06T02:43:29Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"247be8ac0d20d053943638062a4fd0a8e51229f1aaffeb7711d1889fd8777ec1","abstract_canon_sha256":"63c27633860756534c18fef310b98e3328cd0ff85dc951150027de5f653c0c16"},"schema_version":"1.0"},"canonical_sha256":"4a74ea9f3edded0d65f31f84f552e3ea1957ec25dffad6f5f8fd82bb7f432adc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:17.262659Z","signature_b64":"SQcntNrr4YW9aamcNbiQ6G+f0pilyqXeuB6fjib1eqsS/OgX2bxrbdE9u8RPMh0B1qteRCGCjBmDfT6ceK3ICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a74ea9f3edded0d65f31f84f552e3ea1957ec25dffad6f5f8fd82bb7f432adc","last_reissued_at":"2026-05-18T01:08:17.262029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:17.262029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01804","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJTaQSfEeSJnNXSRZE+0l9AsM3TjQYmndHvWTyoV61Gvv9ibhkv5644GKCqQk0h0LznNMIkIqAADipkqfQWmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:04:59.071132Z"},"content_sha256":"c70ec57bb9afa5a122808cf2f80d45321ffc944a7722593a4a2ef5d649e20e2c","schema_version":"1.0","event_id":"sha256:c70ec57bb9afa5a122808cf2f80d45321ffc944a7722593a4a2ef5d649e20e2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JJ2OVHZ63XWQ2ZPTD6CPKUXD5I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-viscous Regularization of the Davey-Stewartson Equations: Analysis and Modulation Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Edriss S. Titi, Irma Hacinliyan, Yanqiu Guo","submitted_at":"2016-05-06T02:43:29Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01804","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rpMvYioGGLnX9SJNya0vcAXJFT2NP5fe+JVmQl03iaCyEqlWMvwE+jGkyivvc+5mQOzVdLd3tNoG2QoGIOEHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:04:59.071776Z"},"content_sha256":"11a65170b2d1a082722f0dd90ef20a9896eca498bdc81d07f4c59fea3c25abc4","schema_version":"1.0","event_id":"sha256:11a65170b2d1a082722f0dd90ef20a9896eca498bdc81d07f4c59fea3c25abc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JJ2OVHZ63XWQ2ZPTD6CPKUXD5I/bundle.json","state_url":"https://pith.science/pith/JJ2OVHZ63XWQ2ZPTD6CPKUXD5I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JJ2OVHZ63XWQ2ZPTD6CPKUXD5I/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T19:04:59Z","links":{"resolver":"https://pith.science/pith/JJ2OVHZ63XWQ2ZPTD6CPKUXD5I","bundle":"https://pith.science/pith/JJ2OVHZ63XWQ2ZPTD6CPKUXD5I/bundle.json","state":"https://pith.science/pith/JJ2OVHZ63XWQ2ZPTD6CPKUXD5I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JJ2OVHZ63XWQ2ZPTD6CPKUXD5I/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rDhT3P7M5TnxFibk5GCB2eSTgjm4yqQrk5qi0Ass+aL6RtYM7kAdWnxmj+9kL4pSsharbivRBU6+4Q5Yt5eBCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:04:59.074919Z","bundle_sha256":"3f66eadc88925dbf9cae7ff31b138123463b4edac40a4f5b1a07f81235feee1f"}}