What the article doesn't emphasize enough:
Pinning of the contact line is crucial (e.g. due to surface roughness), otherwise the ring would not be as pronounced. Due to higher curvature, evaporation is faster at the edges, causing the non-evaporating solids to flow to the edge leading to more of them there in the end when everything has dried up. But on a smooth surface, droplets just shrink. When they don't, you get the ring stain.<p>Relevant: <a href="https://www.nature.com/articles/nature10344" rel="nofollow">https://www.nature.com/articles/nature10344</a>