  We describe a minimal extension of the standard model by three right-handed
neutrinos, a scalar doublet, and a scalar singlet (the "$\nu$DFSZ") which
serves as an existence proof that weakly coupled high-scale physics can
naturally explain phenomenological shortcomings of the SM. The $\nu$DFSZ can
explain neutrino masses, baryogenesis, the strong CP problem, and dark matter,
and remains calculably natural despite a hierarchy of scales up to $\sim
10^{11}$ GeV. It predicts a SM-like Higgs boson, (maximally) TeV-scale scalar
states, intermediate-scale hierarchical leptogenesis ($10^5\text{ GeV}\lesssim
M_{N}\lesssim 10^7\text{ GeV}$), and axionic dark matter.
