{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5B5BCOTERGXEMXXQMYFS7D2Q6J","short_pith_number":"pith:5B5BCOTE","schema_version":"1.0","canonical_sha256":"e87a113a6489ae465ef0660b2f8f50f253f6e10414a6cfa8ad449d647208c277","source":{"kind":"arxiv","id":"1603.08842","version":3},"attestation_state":"computed","paper":{"title":"A Riemann-Hilbert Approach for the Novikov Equation","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"nlin.SI","authors_text":"Anne Boutet de Monvel, Dmitry Shepelsky, Lech Zielinski","submitted_at":"2016-03-29T16:51:03Z","abstract_excerpt":"We develop the inverse scattering transform method for the Novikov equation $u_t-u_{txx}+4u^2u_x=3u u_xu_{xx}+u^2u_{xxx}$ considered on the line $x\\in(-\\infty,\\infty)$ in the case of non-zero constant background. The approach is based on the analysis of an associated Riemann-Hilbert (RH) problem, which in this case is a $3\\times 3$ matrix problem. The structure of this RH problem shares many common features with the case of the Degasperis-Procesi (DP) equation having quadratic nonlinear terms (see [Boutet de Monvel A., Shepelsky D., Nonlinearity 26 (2013), 2081-2107, arXiv:1107.5995]) and thus"},"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":"1603.08842","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-29T16:51:03Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"db4f54dd895b037e1080ef9b2668fb1018f11d700a8d4cf2719e8d5b5b800813","abstract_canon_sha256":"daeca9004e290f39977d3eb68386c38554dc25c7f42f1f180d4256cefc9edbf6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:59.236980Z","signature_b64":"UQ/ib99I2jChPiFK2DvP1cnv9js377+RGCMAp9klf1bpSBgG4ba1conQUv6nzEPm/KL5HHWrEgnk+ctv7TgMCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e87a113a6489ae465ef0660b2f8f50f253f6e10414a6cfa8ad449d647208c277","last_reissued_at":"2026-05-18T01:03:59.236218Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:59.236218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Riemann-Hilbert Approach for the Novikov Equation","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"nlin.SI","authors_text":"Anne Boutet de Monvel, Dmitry Shepelsky, Lech Zielinski","submitted_at":"2016-03-29T16:51:03Z","abstract_excerpt":"We develop the inverse scattering transform method for the Novikov equation $u_t-u_{txx}+4u^2u_x=3u u_xu_{xx}+u^2u_{xxx}$ considered on the line $x\\in(-\\infty,\\infty)$ in the case of non-zero constant background. The approach is based on the analysis of an associated Riemann-Hilbert (RH) problem, which in this case is a $3\\times 3$ matrix problem. The structure of this RH problem shares many common features with the case of the Degasperis-Procesi (DP) equation having quadratic nonlinear terms (see [Boutet de Monvel A., Shepelsky D., Nonlinearity 26 (2013), 2081-2107, arXiv:1107.5995]) and thus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08842","kind":"arxiv","version":3},"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":"1603.08842","created_at":"2026-05-18T01:03:59.236366+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.08842v3","created_at":"2026-05-18T01:03:59.236366+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08842","created_at":"2026-05-18T01:03:59.236366+00:00"},{"alias_kind":"pith_short_12","alias_value":"5B5BCOTERGXE","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"5B5BCOTERGXEMXXQ","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"5B5BCOTE","created_at":"2026-05-18T12:29:58.707656+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/5B5BCOTERGXEMXXQMYFS7D2Q6J","json":"https://pith.science/pith/5B5BCOTERGXEMXXQMYFS7D2Q6J.json","graph_json":"https://pith.science/api/pith-number/5B5BCOTERGXEMXXQMYFS7D2Q6J/graph.json","events_json":"https://pith.science/api/pith-number/5B5BCOTERGXEMXXQMYFS7D2Q6J/events.json","paper":"https://pith.science/paper/5B5BCOTE"},"agent_actions":{"view_html":"https://pith.science/pith/5B5BCOTERGXEMXXQMYFS7D2Q6J","download_json":"https://pith.science/pith/5B5BCOTERGXEMXXQMYFS7D2Q6J.json","view_paper":"https://pith.science/paper/5B5BCOTE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.08842&json=true","fetch_graph":"https://pith.science/api/pith-number/5B5BCOTERGXEMXXQMYFS7D2Q6J/graph.json","fetch_events":"https://pith.science/api/pith-number/5B5BCOTERGXEMXXQMYFS7D2Q6J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5B5BCOTERGXEMXXQMYFS7D2Q6J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5B5BCOTERGXEMXXQMYFS7D2Q6J/action/storage_attestation","attest_author":"https://pith.science/pith/5B5BCOTERGXEMXXQMYFS7D2Q6J/action/author_attestation","sign_citation":"https://pith.science/pith/5B5BCOTERGXEMXXQMYFS7D2Q6J/action/citation_signature","submit_replication":"https://pith.science/pith/5B5BCOTERGXEMXXQMYFS7D2Q6J/action/replication_record"}},"created_at":"2026-05-18T01:03:59.236366+00:00","updated_at":"2026-05-18T01:03:59.236366+00:00"}