  The uniform electron gas (UEG) at finite temperature is of high current
interest due to its key relevance for many applications including dense plasmas
and laser excited solids. In particular, density functional theory heavily
relies on accurate thermodynamic data for the UEG. Until recently, the only
existing first-principle results had been obtained for $N=33$ electrons with
restricted path integral Monte Carlo (RPIMC), for low to moderate density,
  $r_s = \overline{r}/a_B \gtrsim 1$. This data has been complemented by
Configuration path integral Monte Carlo (CPIMC) simulations for $r_s \leq 1$
that substantially deviate from RPIMC towards smaller $r_s$ and low
temperature. In this work, we present results from an independent third
method---the recently developed permutation blocking path integral Monte Carlo
(PB-PIMC) approach [T. Dornheim \textit{et al.}, NJP \textbf{17}, 073017
(2015)] which we extend to the UEG. Interestingly, PB-PIMC allows us to perform
simulations over the entire density range down to half the Fermi temperature
($\theta=k_BT/E_F=0.5$) and, therefore, to compare our results to both
aforementioned methods. While we find excellent agreement with CPIMC, where
results are available, we observe deviations from RPIMC that are beyond the
statistical errors and increase with density.
