  The response of the uniform electron gas (UEG) to an external perturbation is
of paramount importance for many applications. Recently, highly accurate
results for the static density response function and the corresponding local
field correction have been provided both for warm dense matter
[\textit{J.~Chem.~Phys.}~\textbf{151}, 194104 (2019)] and strongly coupled
electron liquid [\textit{Phys.~Rev.~B}~\textbf{101}, 045129 (2020)] conditions
based on exact \textit{ab initio} path integral Monte Carlo (PIMC) simulations.
In the present work, we further complete our current description of the UEG by
exploring the high energy density regime, which is relevant for, e.g.,
astrophysical applications and inertial confinement fusion experiments. To this
end, we present extensive new PIMC results for the static density response in
the range of $0.05 \leq r_s \leq 0.5$ and $0.85\leq\theta\leq8$. These data are
subsequently used to benchmark the accuracy of the widely used random phase
approximation and the dielectric theory by Singwi, Tosi, Land, and Sj\"olander
(STLS). Moreover, we compare our results to configuration PIMC data where they
are available and find perfect agreement with a relative accuracy of
$0.001-0.01\%$. All PIMC data are available online.
