{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:J7CXJBRAFOKF22HTT7QZRF2WTH","short_pith_number":"pith:J7CXJBRA","schema_version":"1.0","canonical_sha256":"4fc57486202b945d68f39fe198975699f200bced9b646a7104e0cd18526d2d23","source":{"kind":"arxiv","id":"0811.4016","version":1},"attestation_state":"computed","paper":{"title":"Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Jingsong He, Xiaodong Li","submitted_at":"2008-11-25T05:47:55Z","abstract_excerpt":"By using gauge transformations, we manage to obtain new solutions of (2+1)-dimensional Kadomtsev-Petviashvili(KP), Kaup-Kuperschmidt(KK) and Sawada-Kotera(SK) equations from non-zero seeds. For each of the preceding equations, a Galilean type transformation between these solutions $u_2$ and the previously known solutions $u_2^{\\prime}$ generated from zero seed is given. We present several explicit formulas of the single-soliton solutions for $u_2$ and $u_2^{\\prime}$, and further point out the two main differences of them under the same value of parameters, i.e., height and location of peak lin"},"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":"0811.4016","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"nlin.SI","submitted_at":"2008-11-25T05:47:55Z","cross_cats_sorted":[],"title_canon_sha256":"f72ad323d738e6a2d68520b096f8ae26238245c38852649ac6c8b31779be8521","abstract_canon_sha256":"59487b3dad172b0ea264f3cadeb8465e0d3cbcf19010768ebad671966c2cf343"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:13.251820Z","signature_b64":"+usH73q4g1Hc6Y6kqkOm1zAMMuMA1CYdsmFbF3QJvJjW/Y4jE0U4Z0h0mgnum+AkvDJafq3bk1hGwBp68EEWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fc57486202b945d68f39fe198975699f200bced9b646a7104e0cd18526d2d23","last_reissued_at":"2026-05-18T02:15:13.251154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:13.251154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Jingsong He, Xiaodong Li","submitted_at":"2008-11-25T05:47:55Z","abstract_excerpt":"By using gauge transformations, we manage to obtain new solutions of (2+1)-dimensional Kadomtsev-Petviashvili(KP), Kaup-Kuperschmidt(KK) and Sawada-Kotera(SK) equations from non-zero seeds. For each of the preceding equations, a Galilean type transformation between these solutions $u_2$ and the previously known solutions $u_2^{\\prime}$ generated from zero seed is given. We present several explicit formulas of the single-soliton solutions for $u_2$ and $u_2^{\\prime}$, and further point out the two main differences of them under the same value of parameters, i.e., height and location of peak lin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.4016","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":"0811.4016","created_at":"2026-05-18T02:15:13.251255+00:00"},{"alias_kind":"arxiv_version","alias_value":"0811.4016v1","created_at":"2026-05-18T02:15:13.251255+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.4016","created_at":"2026-05-18T02:15:13.251255+00:00"},{"alias_kind":"pith_short_12","alias_value":"J7CXJBRAFOKF","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"J7CXJBRAFOKF22HT","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"J7CXJBRA","created_at":"2026-05-18T12:25:57.157939+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/J7CXJBRAFOKF22HTT7QZRF2WTH","json":"https://pith.science/pith/J7CXJBRAFOKF22HTT7QZRF2WTH.json","graph_json":"https://pith.science/api/pith-number/J7CXJBRAFOKF22HTT7QZRF2WTH/graph.json","events_json":"https://pith.science/api/pith-number/J7CXJBRAFOKF22HTT7QZRF2WTH/events.json","paper":"https://pith.science/paper/J7CXJBRA"},"agent_actions":{"view_html":"https://pith.science/pith/J7CXJBRAFOKF22HTT7QZRF2WTH","download_json":"https://pith.science/pith/J7CXJBRAFOKF22HTT7QZRF2WTH.json","view_paper":"https://pith.science/paper/J7CXJBRA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0811.4016&json=true","fetch_graph":"https://pith.science/api/pith-number/J7CXJBRAFOKF22HTT7QZRF2WTH/graph.json","fetch_events":"https://pith.science/api/pith-number/J7CXJBRAFOKF22HTT7QZRF2WTH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J7CXJBRAFOKF22HTT7QZRF2WTH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J7CXJBRAFOKF22HTT7QZRF2WTH/action/storage_attestation","attest_author":"https://pith.science/pith/J7CXJBRAFOKF22HTT7QZRF2WTH/action/author_attestation","sign_citation":"https://pith.science/pith/J7CXJBRAFOKF22HTT7QZRF2WTH/action/citation_signature","submit_replication":"https://pith.science/pith/J7CXJBRAFOKF22HTT7QZRF2WTH/action/replication_record"}},"created_at":"2026-05-18T02:15:13.251255+00:00","updated_at":"2026-05-18T02:15:13.251255+00:00"}