  We compute the pressure of hot quantum electrodynamics from the two-loop
truncation of the 2PI effective action. Since the 2PI resummation guarantees
gauge-fixing independence only up to the order of the truncation, our result
for the pressure presents a gauge dependent contribution of O(e^4). We
numerically characterize the credibility of this gauge-dependent calculation
and find that the uncertainty due to gauge parameter dependence is under
control for xi<1. Our calculation also suggests that the choice of Landau gauge
may minimize gauge-dependent effects.
