{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:55KY6RMDYTZ3P7SYMOO3GURMVW","short_pith_number":"pith:55KY6RMD","schema_version":"1.0","canonical_sha256":"ef558f4583c4f3b7fe58639db3522cad821fc9ed36a97e0696b979fbc6c2e525","source":{"kind":"arxiv","id":"nlin/0107065","version":1},"attestation_state":"computed","paper":{"title":"Hierarchy of (2+1)-dimensional nonlinear Schroedinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras","license":"","headline":"","cross_cats":["hep-th","math-ph","math.DG","math.MP","math.QA","math.RT"],"primary_cat":"nlin.SI","authors_text":"Kanehisa Takasaki, Saburo Kakei, Takeshi Ikeda","submitted_at":"2001-07-30T07:21:59Z","abstract_excerpt":"The hierarchy structure associated with a (2+1)-dimensional Nonlinear Schroedinger equation is discussed as an extension of the theory of the KP hierarchy. Several methods to construct special solutions are given. The relation between the hierarchy and a representation of toroidal Lie algebras are established by using the language of free fermions. A relation to the self-dual Yang-Mills equation is also discussed."},"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/0107065","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2001-07-30T07:21:59Z","cross_cats_sorted":["hep-th","math-ph","math.DG","math.MP","math.QA","math.RT"],"title_canon_sha256":"b0a7769d553a987d48a897aca84f7b13833c49aa09d10e4d2ce71a0e5dbcbcf1","abstract_canon_sha256":"19e70f3851076669129ed394ca09fbaa68995f10cc4e30bf56003767f0b59a9d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:21.759783Z","signature_b64":"7eOjKsA0tAoS4OlP84qV/y7/q3ZEIjz8d4IIC1I90bXULYKDjj/W4I+lswkhWSX3neSlSVTzYyAdADxOugyECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef558f4583c4f3b7fe58639db3522cad821fc9ed36a97e0696b979fbc6c2e525","last_reissued_at":"2026-05-18T01:38:21.759098Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:21.759098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hierarchy of (2+1)-dimensional nonlinear Schroedinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras","license":"","headline":"","cross_cats":["hep-th","math-ph","math.DG","math.MP","math.QA","math.RT"],"primary_cat":"nlin.SI","authors_text":"Kanehisa Takasaki, Saburo Kakei, Takeshi Ikeda","submitted_at":"2001-07-30T07:21:59Z","abstract_excerpt":"The hierarchy structure associated with a (2+1)-dimensional Nonlinear Schroedinger equation is discussed as an extension of the theory of the KP hierarchy. Several methods to construct special solutions are given. The relation between the hierarchy and a representation of toroidal Lie algebras are established by using the language of free fermions. A relation to the self-dual Yang-Mills equation is also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0107065","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/0107065","created_at":"2026-05-18T01:38:21.759203+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0107065v1","created_at":"2026-05-18T01:38:21.759203+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0107065","created_at":"2026-05-18T01:38:21.759203+00:00"},{"alias_kind":"pith_short_12","alias_value":"55KY6RMDYTZ3","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"55KY6RMDYTZ3P7SY","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"55KY6RMD","created_at":"2026-05-18T12:25:50.254431+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/55KY6RMDYTZ3P7SYMOO3GURMVW","json":"https://pith.science/pith/55KY6RMDYTZ3P7SYMOO3GURMVW.json","graph_json":"https://pith.science/api/pith-number/55KY6RMDYTZ3P7SYMOO3GURMVW/graph.json","events_json":"https://pith.science/api/pith-number/55KY6RMDYTZ3P7SYMOO3GURMVW/events.json","paper":"https://pith.science/paper/55KY6RMD"},"agent_actions":{"view_html":"https://pith.science/pith/55KY6RMDYTZ3P7SYMOO3GURMVW","download_json":"https://pith.science/pith/55KY6RMDYTZ3P7SYMOO3GURMVW.json","view_paper":"https://pith.science/paper/55KY6RMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0107065&json=true","fetch_graph":"https://pith.science/api/pith-number/55KY6RMDYTZ3P7SYMOO3GURMVW/graph.json","fetch_events":"https://pith.science/api/pith-number/55KY6RMDYTZ3P7SYMOO3GURMVW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/55KY6RMDYTZ3P7SYMOO3GURMVW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/55KY6RMDYTZ3P7SYMOO3GURMVW/action/storage_attestation","attest_author":"https://pith.science/pith/55KY6RMDYTZ3P7SYMOO3GURMVW/action/author_attestation","sign_citation":"https://pith.science/pith/55KY6RMDYTZ3P7SYMOO3GURMVW/action/citation_signature","submit_replication":"https://pith.science/pith/55KY6RMDYTZ3P7SYMOO3GURMVW/action/replication_record"}},"created_at":"2026-05-18T01:38:21.759203+00:00","updated_at":"2026-05-18T01:38:21.759203+00:00"}