  Even though the integer quantum Hall transition has been investigated for
nearly four decades its critical behavior remains a puzzle. The best
theoretical and experimental results for the localization length exponent $\nu$
differ significantly from each other, casting doubt on our fundamental
understanding. While this discrepancy is often attributed to long-range Coulomb
interactions, Gruzberg et al. [Phys. Rev. B 95, 125414 (2017)] recently
suggested that the semiclassical Chalker-Coddington model, widely employed in
numerical simulations, is incomplete, questioning the established central
theoretical results. To shed light on the controversy, we perform a
high-accuracy study of the integer quantum Hall transition for a microscopic
model of disordered electrons. We find a localization length exponent
$\nu=2.58(3)$ validating the result of the Chalker-Coddington network.
