2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129645A complete proof of the recursive gradient approach is presented. It gives a construction of all the hierarchy structures of N=1 Super KdV, including the non-local one. A precise definition of the ring of superfields involved in the non-local construction is given. In particular, new non-local conserved quantities of N=1 Super KdV are found.22 pagesHigh Energy Physics - TheoryNew non-local SUSY KdV conservation laws from a recursive gradient algorithmtext