{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:GFRK4ZVO5F3TIXDTT6R4FWAM4N","short_pith_number":"pith:GFRK4ZVO","schema_version":"1.0","canonical_sha256":"3162ae66aee977345c739fa3c2d80ce343ac4431bfb534ca650c16b3a1ede2f6","source":{"kind":"arxiv","id":"1111.4162","version":4},"attestation_state":"computed","paper":{"title":"Soliton surfaces via zero-curvature representation of differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"A. M. Grundland, S. Post","submitted_at":"2011-11-17T17:26:11Z","abstract_excerpt":"The main aim of this paper is to introduce a new version of the Fokas-Gel'fand formula for immersion of soliton surfaces in Lie algebras. The paper contains a detailed exposition of the technique for obtaining exact forms of 2D-surfaces associated with any solution of a given nonlinear ordinary differential equation (ODE) which can be written in zero-curvature form. That is, for any generalized symmetry of the zero-curvature condition of the associated integrable model, it is possible to construct soliton surfaces whose Gauss-Mainardi-Codazzi equations are equivalent to infinitesimal deformati"},"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":"1111.4162","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-17T17:26:11Z","cross_cats_sorted":["math.MP","nlin.SI"],"title_canon_sha256":"f4ee9da8d1e55647f33891fddbf782b95f38aebd4b942f5cb37449febbe5f907","abstract_canon_sha256":"a5fbfd2b46e7d285d4722f599e2457c7d818b21a500261c0479b8b7f38527dc6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:31.574007Z","signature_b64":"M9V0JdOstyq2s7CmNTJ2e2Vt9myFstAIi8HO7I2elu8ufow6kwFtftkbJgMSmDvreUOQIh5V2BX4crZ02XBiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3162ae66aee977345c739fa3c2d80ce343ac4431bfb534ca650c16b3a1ede2f6","last_reissued_at":"2026-05-18T01:59:31.573389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:31.573389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Soliton surfaces via zero-curvature representation of differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"A. M. Grundland, S. Post","submitted_at":"2011-11-17T17:26:11Z","abstract_excerpt":"The main aim of this paper is to introduce a new version of the Fokas-Gel'fand formula for immersion of soliton surfaces in Lie algebras. The paper contains a detailed exposition of the technique for obtaining exact forms of 2D-surfaces associated with any solution of a given nonlinear ordinary differential equation (ODE) which can be written in zero-curvature form. That is, for any generalized symmetry of the zero-curvature condition of the associated integrable model, it is possible to construct soliton surfaces whose Gauss-Mainardi-Codazzi equations are equivalent to infinitesimal deformati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4162","kind":"arxiv","version":4},"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":"1111.4162","created_at":"2026-05-18T01:59:31.573483+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.4162v4","created_at":"2026-05-18T01:59:31.573483+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4162","created_at":"2026-05-18T01:59:31.573483+00:00"},{"alias_kind":"pith_short_12","alias_value":"GFRK4ZVO5F3T","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"GFRK4ZVO5F3TIXDT","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"GFRK4ZVO","created_at":"2026-05-18T12:26:28.662955+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/GFRK4ZVO5F3TIXDTT6R4FWAM4N","json":"https://pith.science/pith/GFRK4ZVO5F3TIXDTT6R4FWAM4N.json","graph_json":"https://pith.science/api/pith-number/GFRK4ZVO5F3TIXDTT6R4FWAM4N/graph.json","events_json":"https://pith.science/api/pith-number/GFRK4ZVO5F3TIXDTT6R4FWAM4N/events.json","paper":"https://pith.science/paper/GFRK4ZVO"},"agent_actions":{"view_html":"https://pith.science/pith/GFRK4ZVO5F3TIXDTT6R4FWAM4N","download_json":"https://pith.science/pith/GFRK4ZVO5F3TIXDTT6R4FWAM4N.json","view_paper":"https://pith.science/paper/GFRK4ZVO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.4162&json=true","fetch_graph":"https://pith.science/api/pith-number/GFRK4ZVO5F3TIXDTT6R4FWAM4N/graph.json","fetch_events":"https://pith.science/api/pith-number/GFRK4ZVO5F3TIXDTT6R4FWAM4N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GFRK4ZVO5F3TIXDTT6R4FWAM4N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GFRK4ZVO5F3TIXDTT6R4FWAM4N/action/storage_attestation","attest_author":"https://pith.science/pith/GFRK4ZVO5F3TIXDTT6R4FWAM4N/action/author_attestation","sign_citation":"https://pith.science/pith/GFRK4ZVO5F3TIXDTT6R4FWAM4N/action/citation_signature","submit_replication":"https://pith.science/pith/GFRK4ZVO5F3TIXDTT6R4FWAM4N/action/replication_record"}},"created_at":"2026-05-18T01:59:31.573483+00:00","updated_at":"2026-05-18T01:59:31.573483+00:00"}