{"paper":{"title":"Integrability in differential coverings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"nlin.SI","authors_text":"I. Krasil'shchik","submitted_at":"2013-10-04T07:41:02Z","abstract_excerpt":"Let $\\tau\\colon\\tilde{\\mathcal{E}}\\to\\mathcal{E}$ be a differential covering of a PDE $\\tilde{\\mathcal{E}}$ over $\\mathcal{E}$. We prove that if $\\mathcal{E}$ possesses infinite number of symmetries and/or conservation laws then $\\tilde{\\mathcal{E}}$ has similar properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1189","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"}