{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BU3Y4HCZ6KCEDLVWG6Z4SPECDB","short_pith_number":"pith:BU3Y4HCZ","schema_version":"1.0","canonical_sha256":"0d378e1c59f28441aeb637b3c93c82186edfe3adad85ba0488136e5f159aec55","source":{"kind":"arxiv","id":"1705.06836","version":1},"attestation_state":"computed","paper":{"title":"Smooth positon solutions of the focusing modified Korteweg-de Vries equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Dumitru Mihalache, Jingsong He, Qiuxia Xing, Zhiwei Wu","submitted_at":"2017-05-19T00:15:51Z","abstract_excerpt":"The $n$-fold Darboux transformation $T_{n}$ of the focusing real mo\\-di\\-fied Kor\\-te\\-weg-de Vries (mKdV) equation is expressed in terms of the determinant representation. Using this representation, the $n$-soliton solutions of the mKdV equation are also expressed by determinants whose elements consist of the eigenvalues $\\lambda_{j}$ and the corresponding eigenfunctions of the associated Lax equation. The nonsingular $n$-positon solutions of the focusing mKdV equation are obtained in the special limit $\\lambda_{j}\\rightarrow\\lambda_{1}$, from the corresponding $n$-soliton solutions and by us"},"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":"1705.06836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-19T00:15:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fa05a184bf8f69fdb7846486d56fca25512e754ae7cf26c14a47f9329c7da2c0","abstract_canon_sha256":"d859bf37f111f723fae794aaa01050612eeaf52fb110138f01ff1968e17694ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:11.188430Z","signature_b64":"N30zqtMVQdMjL8YtclkSyiJLu2twhEVyihiv6KJlWCwHXExXIKwasGv8TKBIIHGFAyvoNOxb+6fthunYskFrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d378e1c59f28441aeb637b3c93c82186edfe3adad85ba0488136e5f159aec55","last_reissued_at":"2026-05-18T00:44:11.187976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:11.187976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Smooth positon solutions of the focusing modified Korteweg-de Vries equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Dumitru Mihalache, Jingsong He, Qiuxia Xing, Zhiwei Wu","submitted_at":"2017-05-19T00:15:51Z","abstract_excerpt":"The $n$-fold Darboux transformation $T_{n}$ of the focusing real mo\\-di\\-fied Kor\\-te\\-weg-de Vries (mKdV) equation is expressed in terms of the determinant representation. Using this representation, the $n$-soliton solutions of the mKdV equation are also expressed by determinants whose elements consist of the eigenvalues $\\lambda_{j}$ and the corresponding eigenfunctions of the associated Lax equation. The nonsingular $n$-positon solutions of the focusing mKdV equation are obtained in the special limit $\\lambda_{j}\\rightarrow\\lambda_{1}$, from the corresponding $n$-soliton solutions and by us"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06836","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":"1705.06836","created_at":"2026-05-18T00:44:11.188036+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.06836v1","created_at":"2026-05-18T00:44:11.188036+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06836","created_at":"2026-05-18T00:44:11.188036+00:00"},{"alias_kind":"pith_short_12","alias_value":"BU3Y4HCZ6KCE","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BU3Y4HCZ6KCEDLVW","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BU3Y4HCZ","created_at":"2026-05-18T12:31:08.081275+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/BU3Y4HCZ6KCEDLVWG6Z4SPECDB","json":"https://pith.science/pith/BU3Y4HCZ6KCEDLVWG6Z4SPECDB.json","graph_json":"https://pith.science/api/pith-number/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/graph.json","events_json":"https://pith.science/api/pith-number/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/events.json","paper":"https://pith.science/paper/BU3Y4HCZ"},"agent_actions":{"view_html":"https://pith.science/pith/BU3Y4HCZ6KCEDLVWG6Z4SPECDB","download_json":"https://pith.science/pith/BU3Y4HCZ6KCEDLVWG6Z4SPECDB.json","view_paper":"https://pith.science/paper/BU3Y4HCZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.06836&json=true","fetch_graph":"https://pith.science/api/pith-number/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/graph.json","fetch_events":"https://pith.science/api/pith-number/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/action/storage_attestation","attest_author":"https://pith.science/pith/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/action/author_attestation","sign_citation":"https://pith.science/pith/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/action/citation_signature","submit_replication":"https://pith.science/pith/BU3Y4HCZ6KCEDLVWG6Z4SPECDB/action/replication_record"}},"created_at":"2026-05-18T00:44:11.188036+00:00","updated_at":"2026-05-18T00:44:11.188036+00:00"}