  It was shown in [J. A. Ram\'irez, B. Rider and B. Vir\'ag. J. Amer. Math.
Soc. 24, 919-944 (2011)] that the edge of the spectrum of $\beta$ ensembles
converges in the large $N$ limit to the bottom of the spectrum of the
stochastic Airy operator. In the present paper, we obtain a complete
description of the bottom of this spectrum when the temperature $1/\beta$ goes
to $\infty$: we show that the point process of appropriately rescaled
eigenvalues converges to a Poisson point process on $\mathbb{R}$ of intensity
$e^x dx$ and that the eigenfunctions converge to Dirac masses centered at IID
points with exponential laws. Furthermore, we obtain a precise description of
the microscopic behavior of the eigenfunctions near their localization centers.
