  Let $K$ be a local field and let $L/K$ be a totally ramified Galois extension
of degree $p^n$. Being semistable and possessing a Galois scaffold are two
conditions which facilitate the computation of the additive Galois module
structure of $L/K$. In this note we show that $L/K$ is semistable if and only
if $L/K$ has a Galois scaffold. We also give sufficient conditions in terms of
Galois scaffolds for the extension $L/K$ to be stable.
