A Pivotal Amplitude for Voronoi Percolation from Cardy's Formula

Taking Cardy's conformal crossing formula for critical planar Poisson–Voronoi percolation in every bounded Jordan quadrilateral as an input, we prove that the expected number of color-pivotal cells for a unit-square crossing is asymptotic to a positive constant times ${\epsilon }^{-3/4}$, where the point intensity is ${\epsilon }^{-2}$. No rate of convergence in Cardy's formula is required.