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We consider four three-dimensional equations: (1) the rdDym equation $u_{ty} = u_x u_{xy} - u_y u_{xx}$, (2) the 3D Pavlov equation $u_{yy} = u_{tx} + u_y u_{xx} - u_x u_{xy}$; (3) the universal hierarchy equation $u_{yy} = u_t u_{xy} - u_y u_{tx}$, and (4) the modified Veronese web equation $u_{ty} = u_t u_{xy} - u_y u_{tx}$. For each equation, using the know Lax pairs and expanding the latter in formal series in spectral parameter, we construct two infinite-dimensional differential coverings and give a full description of nonlocal symme"},"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":"1611.04938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-11-15T17:04:43Z","cross_cats_sorted":[],"title_canon_sha256":"716fd86613181137e2c209482639ed0a77321a366f954d0f86ff022b07c7bf05","abstract_canon_sha256":"c828393c63392e1a47754ff5247eb458aee95b81becefd9e1023ab7d1b77e2fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:04.585056Z","signature_b64":"P+KjcI+Jd6AbyOUO7FZ8SSKPudvyM8w6W4GpsSkg1srLBlJN73b52Z5NJ6B4/jrryYZLGzRpvSFAVMrJuW+pBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32cb952dd3fe8b56d9ed8246718e2bee9b84561710492038dfde2ca4e18b86f4","last_reissued_at":"2026-05-18T00:54:04.584513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:04.584513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlocal symmetries of Lax integrable equations: a comparative study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"H. 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