{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZBWRGICGJ2YDTRWN4LPGWRNKXM","short_pith_number":"pith:ZBWRGICG","schema_version":"1.0","canonical_sha256":"c86d1320464eb039c6cde2de6b45aabb05a69b7e7826053b5358a7d8dc527b05","source":{"kind":"arxiv","id":"1601.00779","version":1},"attestation_state":"computed","paper":{"title":"On the well-posedness of a quasi-linear Korteweg-de Vries equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Colin Mietka","submitted_at":"2016-01-05T10:10:57Z","abstract_excerpt":"The Korteweg-de Vries equation (KdV) and various generalized, most often semi- linear versions have been studied for about 50 years. Here, the focus is made on a quasi-linear generalization of the KdV equation, which has a fairly general Hamil- tonian structure. This paper presents a local in time well-posedness result, that is existence and uniqueness of a solution and its continuity with respect to the initial data. The proof is based on the derivation of energy estimates, the major inter- est being the method used to get them. The goal is to make use of the structural properties of the equa"},"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":"1601.00779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-05T10:10:57Z","cross_cats_sorted":[],"title_canon_sha256":"46838f71307fe07524a7c900e9b59e5c161dda0e6aab54a58642b8b2d7b69077","abstract_canon_sha256":"adf929ccc73619e28f1cc26fa74d9ac686b45703cbfa755fd5138dfb5078f4ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:21.840511Z","signature_b64":"9HCAEZbfo6xy5DwrZK47nC7enCz4C36t0JZeT9oA7ZtLCzd3Q7Jde8fdhjt+BeG17rX+GthqM0rq5V2tkNbVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c86d1320464eb039c6cde2de6b45aabb05a69b7e7826053b5358a7d8dc527b05","last_reissued_at":"2026-05-18T01:23:21.839840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:21.839840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the well-posedness of a quasi-linear Korteweg-de Vries equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Colin Mietka","submitted_at":"2016-01-05T10:10:57Z","abstract_excerpt":"The Korteweg-de Vries equation (KdV) and various generalized, most often semi- linear versions have been studied for about 50 years. Here, the focus is made on a quasi-linear generalization of the KdV equation, which has a fairly general Hamil- tonian structure. This paper presents a local in time well-posedness result, that is existence and uniqueness of a solution and its continuity with respect to the initial data. The proof is based on the derivation of energy estimates, the major inter- est being the method used to get them. The goal is to make use of the structural properties of the equa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00779","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":"1601.00779","created_at":"2026-05-18T01:23:21.839946+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.00779v1","created_at":"2026-05-18T01:23:21.839946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00779","created_at":"2026-05-18T01:23:21.839946+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZBWRGICGJ2YD","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZBWRGICGJ2YDTRWN","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZBWRGICG","created_at":"2026-05-18T12:30:53.716459+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/ZBWRGICGJ2YDTRWN4LPGWRNKXM","json":"https://pith.science/pith/ZBWRGICGJ2YDTRWN4LPGWRNKXM.json","graph_json":"https://pith.science/api/pith-number/ZBWRGICGJ2YDTRWN4LPGWRNKXM/graph.json","events_json":"https://pith.science/api/pith-number/ZBWRGICGJ2YDTRWN4LPGWRNKXM/events.json","paper":"https://pith.science/paper/ZBWRGICG"},"agent_actions":{"view_html":"https://pith.science/pith/ZBWRGICGJ2YDTRWN4LPGWRNKXM","download_json":"https://pith.science/pith/ZBWRGICGJ2YDTRWN4LPGWRNKXM.json","view_paper":"https://pith.science/paper/ZBWRGICG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.00779&json=true","fetch_graph":"https://pith.science/api/pith-number/ZBWRGICGJ2YDTRWN4LPGWRNKXM/graph.json","fetch_events":"https://pith.science/api/pith-number/ZBWRGICGJ2YDTRWN4LPGWRNKXM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZBWRGICGJ2YDTRWN4LPGWRNKXM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZBWRGICGJ2YDTRWN4LPGWRNKXM/action/storage_attestation","attest_author":"https://pith.science/pith/ZBWRGICGJ2YDTRWN4LPGWRNKXM/action/author_attestation","sign_citation":"https://pith.science/pith/ZBWRGICGJ2YDTRWN4LPGWRNKXM/action/citation_signature","submit_replication":"https://pith.science/pith/ZBWRGICGJ2YDTRWN4LPGWRNKXM/action/replication_record"}},"created_at":"2026-05-18T01:23:21.839946+00:00","updated_at":"2026-05-18T01:23:21.839946+00:00"}