{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WK75P5LZDSJBDDCGLFUL55RXZU","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":"db779de4e0e330171ca8f5b03017de15da203e048025209fd8001e59b95b258e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-06T15:15:16Z","title_canon_sha256":"7bbae415e12f4b92535b1e1402fdc967d9d68a95b3641804a4aa56bc03b19f5c"},"schema_version":"1.0","source":{"id":"1808.01955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.01955","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"arxiv_version","alias_value":"1808.01955v1","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01955","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"pith_short_12","alias_value":"WK75P5LZDSJB","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WK75P5LZDSJBDDCG","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WK75P5LZ","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:4a096400b48314e5593da3d4d4e3e124dea0fd3c80e5820806c9bcaa97d32156","target":"graph","created_at":"2026-05-18T00:08:49Z","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 prove global well-posedness and scattering of the Cauchy problem for the elliptic-elliptic Davey-Stewartson system (eeDS) for initial data $u_{0}\\in L^{2}(\\mathbb{R}^{2})$ in the defocusing case and for $u_{0}\\in L^{2}(\\mathbb{R}^{2})$ with mass below that of the ground state in the focusing case. This result resolves the large data problem at the scaling-critical regularity left open by Ghidaglia and Saut in their work initiating the mathematical study of the Cauchy problem for the system. Our proof uses the concentration compactness/rigidity road map of Kenig and Merle toge","authors_text":"Matthew Rosenzweig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-06T15:15:16Z","title":"Global Well-Posedness and Scattering for the Elliptic-Elliptic Davey-Stewartson System at $L^{2}$-Critical Regularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01955","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:ef92b271630f8bc9e17105ea239a636f7be8427cdbd7035e8ab38810653adcaf","target":"record","created_at":"2026-05-18T00:08:49Z","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":"db779de4e0e330171ca8f5b03017de15da203e048025209fd8001e59b95b258e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-06T15:15:16Z","title_canon_sha256":"7bbae415e12f4b92535b1e1402fdc967d9d68a95b3641804a4aa56bc03b19f5c"},"schema_version":"1.0","source":{"id":"1808.01955","kind":"arxiv","version":1}},"canonical_sha256":"b2bfd7f5791c92118c465968bef637cd14d29fa4de50eb00dc2c47d4712d12b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2bfd7f5791c92118c465968bef637cd14d29fa4de50eb00dc2c47d4712d12b5","first_computed_at":"2026-05-18T00:08:49.082588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:49.082588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bkbxqbljqQTRAvPdAjw/em44ToB0rIvht2esboIce0BmtJNfZ/ICncnmANky6AMDg7iZeZqtGmtLBj9ngBPWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:49.083032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.01955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef92b271630f8bc9e17105ea239a636f7be8427cdbd7035e8ab38810653adcaf","sha256:4a096400b48314e5593da3d4d4e3e124dea0fd3c80e5820806c9bcaa97d32156"],"state_sha256":"36db76b433d09a1eb2745bd6e0588b8c2ccae5375c6322e9efc2204ddb0be1c1"}