Hot dust-obscured galaxies (hot DOGs), selected from Wide-Field Infrared Survey Explorer’s all-sky infrared
survey, host some of the most powerful active galactic nuclei known and may represent an important stage in the
evolution of galaxies. Most known hot DOGs are located at z > 1.5, due in part to a strong bias against identifying
them at lower redshift related to the selection criteria. We present a new selection method that identifies 153 hot
DOG candidates at z ~ 1, where they are significantly brighter and easier to study. We validate this approach by
measuring a redshift z = 1.009 and finding a spectral energy distribution similar to that of higher-redshift hot
DOGs for one of these objects, WISE J1036+0449 ( LBol ~= 8 x 10^46 erg s^-1). We find evidence of a broadened
component in Mg II, which would imply a black hole mass of MBH ~= 2 x 10^8 M(solar) and an Eddington ratio of
LambdaEdd ~= 2.7. WISE J1036+0449 is the first hot DOG detected by the Nuclear Spectroscopic Telescope Array, and
observations show that the source is heavily obscured, with a column density of NH = 2-15 x 10^23 cm^-2 . The
source has an intrinsic 2–10 keV luminosity of ~ 6 x 10^44 erg s^-1, a value significantly lower than that expected
from the mid-infrared/X-ray correlation. We also find that other hot DOGs observed by X-ray facilities show a
similar deficiency of X-ray flux. We discuss the origin of the X-ray weakness and the absorption properties of hot
DOGs. Hot DOGs at z ~< 1 could be excellent laboratories to probe the characteristics of the accretion flow and of
the X-ray emitting plasma at extreme values of the Eddington ratio