{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:LQGTBFIIOM7AFKRBGLVBKSBP7Z","short_pith_number":"pith:LQGTBFII","schema_version":"1.0","canonical_sha256":"5c0d309508733e02aa2132ea15482ffe6b841ea29f51cd822d6564fffe8ede02","source":{"kind":"arxiv","id":"nlin/0211028","version":1},"attestation_state":"computed","paper":{"title":"On complete integrability of the generalized Weierstrass system","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"A. M. Grundland, P. Bracken","submitted_at":"2002-11-19T09:32:46Z","abstract_excerpt":"In this paper we study certain aspects of the complete integrability of the Generalized Weierstrass system in the context of the Sinh-Gordon type equation. Using the conditional symmetry approach, we construct the B\\\"{a}cklund transformation for the Generalized Weierstrass system which is determined by coupled Riccati equations. Next a linear spectral problem is found which is determined by nonsingular $2 \\times 2$ matrices based on an $sl (2, \\mathbb C)$ representation. We derive the explicit form of the Darboux transformation for the Weierstrass system. New classes of multisoliton solutions "},"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":"nlin/0211028","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2002-11-19T09:32:46Z","cross_cats_sorted":[],"title_canon_sha256":"b8e8488aef3bb1f71227010164697586c600e9e08dcedbbf1d5259c289a77feb","abstract_canon_sha256":"082922ddd83c2b4c642ff0b75dd30c41fb067b99d418c4e334cb41bc155ffed3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:19.611584Z","signature_b64":"tVy1nzyh5IPLCppbadYnzkCBwXj+awothWSnipoG9kWVfC3DCSfrma6WDkaOpva1uYIS+nhdSdb3CBmAOt9fBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c0d309508733e02aa2132ea15482ffe6b841ea29f51cd822d6564fffe8ede02","last_reissued_at":"2026-05-18T01:38:19.611022Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:19.611022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On complete integrability of the generalized Weierstrass system","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"A. M. Grundland, P. Bracken","submitted_at":"2002-11-19T09:32:46Z","abstract_excerpt":"In this paper we study certain aspects of the complete integrability of the Generalized Weierstrass system in the context of the Sinh-Gordon type equation. Using the conditional symmetry approach, we construct the B\\\"{a}cklund transformation for the Generalized Weierstrass system which is determined by coupled Riccati equations. Next a linear spectral problem is found which is determined by nonsingular $2 \\times 2$ matrices based on an $sl (2, \\mathbb C)$ representation. We derive the explicit form of the Darboux transformation for the Weierstrass system. New classes of multisoliton solutions "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0211028","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":"nlin/0211028","created_at":"2026-05-18T01:38:19.611093+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0211028v1","created_at":"2026-05-18T01:38:19.611093+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0211028","created_at":"2026-05-18T01:38:19.611093+00:00"},{"alias_kind":"pith_short_12","alias_value":"LQGTBFIIOM7A","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"LQGTBFIIOM7AFKRB","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"LQGTBFII","created_at":"2026-05-18T12:25:51.375804+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/LQGTBFIIOM7AFKRBGLVBKSBP7Z","json":"https://pith.science/pith/LQGTBFIIOM7AFKRBGLVBKSBP7Z.json","graph_json":"https://pith.science/api/pith-number/LQGTBFIIOM7AFKRBGLVBKSBP7Z/graph.json","events_json":"https://pith.science/api/pith-number/LQGTBFIIOM7AFKRBGLVBKSBP7Z/events.json","paper":"https://pith.science/paper/LQGTBFII"},"agent_actions":{"view_html":"https://pith.science/pith/LQGTBFIIOM7AFKRBGLVBKSBP7Z","download_json":"https://pith.science/pith/LQGTBFIIOM7AFKRBGLVBKSBP7Z.json","view_paper":"https://pith.science/paper/LQGTBFII","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0211028&json=true","fetch_graph":"https://pith.science/api/pith-number/LQGTBFIIOM7AFKRBGLVBKSBP7Z/graph.json","fetch_events":"https://pith.science/api/pith-number/LQGTBFIIOM7AFKRBGLVBKSBP7Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LQGTBFIIOM7AFKRBGLVBKSBP7Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LQGTBFIIOM7AFKRBGLVBKSBP7Z/action/storage_attestation","attest_author":"https://pith.science/pith/LQGTBFIIOM7AFKRBGLVBKSBP7Z/action/author_attestation","sign_citation":"https://pith.science/pith/LQGTBFIIOM7AFKRBGLVBKSBP7Z/action/citation_signature","submit_replication":"https://pith.science/pith/LQGTBFIIOM7AFKRBGLVBKSBP7Z/action/replication_record"}},"created_at":"2026-05-18T01:38:19.611093+00:00","updated_at":"2026-05-18T01:38:19.611093+00:00"}