The canonical ordering conjecture for the fractal zero set

Let $Z_F$ be constructed from the non-trivial zeta zeros, and consider orderings of those zeros, including the standard ordering by increasing imaginary part. Canonical Ordering conjecture. The standard ordering by increasing imaginary part is canonical in the sense that it maximizes certain information-theoretic measures, such as mutual information with prime distribution. The source gives no argument establishing this maximization, so the claim remains open.