  We study the Seberg-Witten geometry of 5d ${\cal N}=1$ pure Yang-Mills
theories compactified on a circle. The concept of the holonomy saddle implies
that there are multiple 4d limits of interacting Seiberg-Witten theories from a
single 5d theory, and we explore this in the simplest case of pure $SU(N)$
theories. The compactification leads to $N$ copies of locally indistinguishable
4d pure $SU(N)$ Seiberg-Witten theories in the infrared, glued together in a
manner dictated by the Chern-Simons level. We show how this picture naturally
builds the 5d BPS quivers which agree with the D0 probe dynamics previously
proposed via the geometrically engineered local Calabi-Yau. We work out various
$SU(2)$ and $SU(3)$ examples through a detailed look at the respective spectral
curves. We also note a special $\mathbb{Z}_{2N}$ feature of $SU(N)_N$ spectral
curves and the resulting BPS quivers, with emphasis on how the 4d holonomy
saddles are affected.
