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Long story short, it depends..[0]

In most cases, I'd guess that most people mean 3840×2160.

[0]: https://en.wikipedia.org/wiki/4K_resolution

4K is 2160p. Digital theater 4K is 4096x2160 but UHDTV 4K is 3840x2160.

8K is 4320p. UHD 8K is 7680×4320.

4k refers to approximately four thousand horizontal pixels. 1080p refers to 1080 vertical pixels. So how many 'k' and how many 'p' a display is/has aren't comparable figures.

Thanks, this was my confusion.

The 'p' stands for progressive scan, not the dimension being measured (neither does 'k').

I know that and 'k' just means thousands, but in context they still indicate which dimension is being referred to. 'p' is never used to refer to horizontal dimension metrics and I've never seen 'k' on it's own with a number used to indicate vertical resolution. Not without that being explicitly stated anyway.

DCI 4k is 4096x2160, UHD 4k is 3840x2160. If you buy EIZO/LG for video/photo editing, you get DCI, the rest is UHD.

4K UHD is 3840 × 2160. 8K UHD is 7680 × 4320.