  We study thermodynamics of the 3D Hubbard model at half filling on approach
to the N\'eel transition by means of large-scale unbiased Diagrammatic
Determinant Monte Carlo simulations. We obtain the transition temperature in
the strongly correlated regime, as well as temperature dependence of energy,
entropy, double occupancy, and the nearest-neighbor spin correlation function.
Our results improve the accuracy of previous unbiased studies and present
accurate benchmarks in the ongoing effort to realize the antiferromagnetic
state of matter with ultracold atoms in optical lattices.
