Discretized ranking-function conjecture for purely inseparable hypersurface singularities

Let $\Pi$ be the discretization map from the paper, and let $f_0,\ldots,f_{25}$ be the intrinsic invariants used to construct a five-component raw rank function $R=(c_1,c_2,c_3,c_4,c_5)$. A bounded-delay ranking function is a discretized rank whose ranking improvements occur within a uniformly bounded number of steps. Discretized ranking-function conjecture. There exists such an $R$, built from $f_0,\ldots,f_{25}$, for dimension-$4$, characteristic-$3$ monic purely inseparable hypersurface singularities, with

$$\Pi\circ R$$

a bounded-delay ranking function. Moreover, the explicit ranker $\mathcal R_{100}$ generalizes to families obtained by adding further mixed terms of arbitrarily high degree. This conjecture proposes a uniform ranking mechanism for the canonical blow-up process, but the supplied text gives only computational evidence and does not establish either the existence claim or the asserted generalization.