{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SAPDVIXFYDATSKAAIFKXGF3ZH5","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":"4477453b47bb8c6bb12b9ff4bfe784d2f549c182bfa7f980c37084e442c19747","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-01-23T12:06:49Z","title_canon_sha256":"a4b7685e1c7207d8caf77b5d610331ec09496d57a36bf3be8329039ead951a92"},"schema_version":"1.0","source":{"id":"1501.05780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.05780","created_at":"2026-05-18T02:28:49Z"},{"alias_kind":"arxiv_version","alias_value":"1501.05780v1","created_at":"2026-05-18T02:28:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05780","created_at":"2026-05-18T02:28:49Z"},{"alias_kind":"pith_short_12","alias_value":"SAPDVIXFYDAT","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"SAPDVIXFYDATSKAA","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"SAPDVIXF","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:4670137199cb97a99394ddae9f762c18f7bc680bded15fa67c809d6bfc790c8c","target":"graph","created_at":"2026-05-18T02:28:49Z","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":"The Pavlov equation is one of the simplest integrable systems of vector fields arising from various problems of mathematical physics and differential geometry which are intensively studied in recent literature. In this report, solving a nonlinear Riemann-Hilbert problem via a Newtonian iteration scheme, we complete the inverse scattering theory and prove a short time unique solvability of the Cauchy problem of the Pavlov equation with large initial data.","authors_text":"Derchyi Wu","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-01-23T12:06:49Z","title":"The Cauchy problem for the Pavlov equation with large data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05780","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":"sha256:64537bacde4cba99800303dffd937b61363625ce07429f19447680663c2f8adb","target":"record","created_at":"2026-05-18T02:28:49Z","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":"4477453b47bb8c6bb12b9ff4bfe784d2f549c182bfa7f980c37084e442c19747","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-01-23T12:06:49Z","title_canon_sha256":"a4b7685e1c7207d8caf77b5d610331ec09496d57a36bf3be8329039ead951a92"},"schema_version":"1.0","source":{"id":"1501.05780","kind":"arxiv","version":1}},"canonical_sha256":"901e3aa2e5c0c139280041557317793f439ffa3027a1e6475c39e808e43229bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"901e3aa2e5c0c139280041557317793f439ffa3027a1e6475c39e808e43229bf","first_computed_at":"2026-05-18T02:28:49.015626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:49.015626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ITDaHiwRjwumlY/8gLczcTP39fl3QrmEbZ50aDwPi977S8Z4uznvkI5kvHlZmwAIVSEiVl8KPnD7zix4X4ifDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:49.016019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.05780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64537bacde4cba99800303dffd937b61363625ce07429f19447680663c2f8adb","sha256:4670137199cb97a99394ddae9f762c18f7bc680bded15fa67c809d6bfc790c8c"],"state_sha256":"7bcc125a309e288713f576108b2fcc52205bdd1ccddbe5e7f78a72ea7faca682"}