The Kertész-line critical-scaling conjecture for the planar Ising model

Let $p_c$ be the critical edge parameter and let $h_c(p)$ denote the Kertész line in the planar Ising case. The planar Ising Kertész-line conjecture. As $p\to p_c$,

$$h_c(p)\sim c(p-p_c)^{15/8}$$

for some constant $c>0$. This prediction follows the numerical scaling relation for the planar Ising model quoted in the source; the asymptotic exponent is not established here.