  We classify dp-minimal pure fields up to elementary equivalence. Most are
equivalent to Hahn series fields $K((t^\Gamma))$ where $\Gamma$ satisfies some
divisibility conditions and $K$ is $\mathbb{F}_p^{alg}$ or a local field of
characteristic zero. We show that dp-small fields (including VC-minimal fields)
are algebraically closed or real closed.
