{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YZCXWBIPT4RR77NQOGCTP6S4XY","short_pith_number":"pith:YZCXWBIP","schema_version":"1.0","canonical_sha256":"c6457b050f9f231ffdb0718537fa5cbe3cf232232ae39b5f660afa4282ba60ce","source":{"kind":"arxiv","id":"1712.08814","version":1},"attestation_state":"computed","paper":{"title":"Numerical study of blow-up mechanisms for Davey-Stewartson II systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"math.AP","authors_text":"C. Klein, N. Stoilov","submitted_at":"2017-12-23T18:05:44Z","abstract_excerpt":"We present a detailed numerical study of various blow-up issues in the context of the focusing Davey-Stewartson II equation. To this end we study Gaussian initial data and perturbations of the lump and the explicit blow-up solution due to Ozawa. Based on the numerical results it is conjectured that the blow-up in all cases is self similar, and that the time dependent scaling is as in the Ozawa solution and not as in the stable blow-up of standard $L^{2}$ critical nonlinear Schr\\\"odinger equations. The blow-up profile is given by a dynamically rescaled lump."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1712.08814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-23T18:05:44Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"980ebfdf964bb7f807fc98ffb65a15ec05e47f5f0c7821f60c67e725a560b7ed","abstract_canon_sha256":"ec71edbbdabf808b3904bbe92995a3d746d8d217470940e6e9571fc410e0525a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:16.724352Z","signature_b64":"M6DJIFTw1cGtj83qKjafehTNjpehhqTfIdRzu5kQMPCtsKvmyWZ2flXm43hQf4+5E0pS0qluAC/my9G5EiQsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6457b050f9f231ffdb0718537fa5cbe3cf232232ae39b5f660afa4282ba60ce","last_reissued_at":"2026-05-18T00:27:16.723959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:16.723959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical study of blow-up mechanisms for Davey-Stewartson II systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"math.AP","authors_text":"C. Klein, N. Stoilov","submitted_at":"2017-12-23T18:05:44Z","abstract_excerpt":"We present a detailed numerical study of various blow-up issues in the context of the focusing Davey-Stewartson II equation. To this end we study Gaussian initial data and perturbations of the lump and the explicit blow-up solution due to Ozawa. Based on the numerical results it is conjectured that the blow-up in all cases is self similar, and that the time dependent scaling is as in the Ozawa solution and not as in the stable blow-up of standard $L^{2}$ critical nonlinear Schr\\\"odinger equations. The blow-up profile is given by a dynamically rescaled lump."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08814","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.08814","created_at":"2026-05-18T00:27:16.724025+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.08814v1","created_at":"2026-05-18T00:27:16.724025+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08814","created_at":"2026-05-18T00:27:16.724025+00:00"},{"alias_kind":"pith_short_12","alias_value":"YZCXWBIPT4RR","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"YZCXWBIPT4RR77NQ","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"YZCXWBIP","created_at":"2026-05-18T12:31:59.375834+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY","json":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY.json","graph_json":"https://pith.science/api/pith-number/YZCXWBIPT4RR77NQOGCTP6S4XY/graph.json","events_json":"https://pith.science/api/pith-number/YZCXWBIPT4RR77NQOGCTP6S4XY/events.json","paper":"https://pith.science/paper/YZCXWBIP"},"agent_actions":{"view_html":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY","download_json":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY.json","view_paper":"https://pith.science/paper/YZCXWBIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.08814&json=true","fetch_graph":"https://pith.science/api/pith-number/YZCXWBIPT4RR77NQOGCTP6S4XY/graph.json","fetch_events":"https://pith.science/api/pith-number/YZCXWBIPT4RR77NQOGCTP6S4XY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY/action/storage_attestation","attest_author":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY/action/author_attestation","sign_citation":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY/action/citation_signature","submit_replication":"https://pith.science/pith/YZCXWBIPT4RR77NQOGCTP6S4XY/action/replication_record"}},"created_at":"2026-05-18T00:27:16.724025+00:00","updated_at":"2026-05-18T00:27:16.724025+00:00"}