  We provide computational tools to calculate the strict units of commutative
ring spectra. We describe the Goerss-Hopkins-Miller spectral sequence for
computing strict units of $E_\infty$-$H\mathbb{F}_p$-algebras, and use it to
compute the strict units of polynomial and truncated polynomial rings, whose
Postnikov towers we also analyze. We then sketch the calculation of the strict
units of other rings, such as $S^0$, using the symmetric product of spheres
filtration and transfers.
