  In this paper, we consider the maximum of the $\text{Sine}_\beta$ counting
process from its expectation. We show the leading order behavior is consistent
with the predictions of log-correlated Gaussian fields, also consistent with
work on the imaginary part of the log-characteristic polynomial of random
matrices. We do this by a direct analysis of the stochastic sine equation,
which gives a description of the continuum limit of the Pr\"ufer phases of a
Gaussian $\beta$-ensemble matrix.
