Differentiating between minks and points on the darker side is often difficult. Both being temperature-dependent, they have a wide range of shades and the darkness levels of the adult cats overlaps greatly.
Let's see the tricks that i found the most useful for deciding if a cat is a point (cscs, siamese-type color restriction) or indeed a mink (cbcs, tonkinese-type color restriction)!
First; eye color, of course. The eye of a pointed cat is very rarely anything but clear (although not necessarily intense) blue. Minks are less determined, but their eyes usually noticeably lean towards a more greenish color which is called aqua. Here's a detailed description of it.
black tabby point, lilac mink
Second; and this is less tangible, but it's what i noticed: points, however dark they get, are always have less even coloring, the difference of the lightest and darkest shades is bigger. Most notably, they usually remain lighter around their necks.
A point and a mink: both darkened to the extremes. If anything, the point might be actually darker brown on the flanks. However it still has an almost off-white collar!
Blue eyes, great body-point color contrast, especially light around the neck: this infographic used a pointed (= siamese) cat for representing mink (=tonkinese).