You might note that Photoshop and ACR both use PPI, and not the incorrect and so very often misused term DPI.
Misused says who?

It's been a long time since I heard that protest, I thought they gave it up.

The term for printing resolution was named dpi for years, including before Photoshop. Possibly technical jargon, but dpi always was the formal name of it. Then development of low price scanners and digital cameras started involving lots of newbies who were easily confused. So not all that long ago, someone got the notion it should be instead called ppi. Which is not a bad idea, however of course the name is dpi, and of course the change is no law, and too many old timers are still saying dpi.
Bottom line: It is absolutely necessary that we understand it said either way,
FYI:
In English, words are understood in context of use. If dpi is about ink drops, it is about ink drops. If dpi is about pixels, it is about pixels. Image files do not contain any ink drops, so any discussion about images is about pixels. Seems pretty simple.
Continuous tone printers (dye-subs, and Fuji Frontier types) don't print discrete ink drops of three colors like inkjet printers must - instead they mix the color of the pixel directly, and they print pixels (called continuous tone). There are no dithered ink dots then, just pixels. But these printer ratings still refer to the spacing of those image pixels with the term dpi, simply because dpi has always been the name for "pixels per inch".
Scanner ratings also always call it dpi, also referring to pixels of course (scanners don't use ink dots). You have never heard of a 4800 ppi scanner rating (and there are no ink drops used in scanners - scanners create pixels of course).
The formal
technical specifications at the very heart of our digital imaging definitions use dpi:
- JPEG file specifications See page 2 and 5, dpi, "dots per inch", meaning pixels.
- TIFF file specifications See page 38, "dots per inch", meaning pixels.
- EXIF 2.2 specifications See pages 19, 90, 101, 104, 108, 112, "dpi", meaning pixels (the number 72 dpi there has no significance, it just means "blank, no information").
EDIT: Oops! This third EXIF link has gone bad. Here is another with the same specifications:
http://www.kodak.com/global/plugins/acrobat/en/service/digCam/exifStandard2.pdf
All of the above is good enough for me. It is called dpi. It always was called dpi. Those fundamental and elite specification documents do not use ppi one time - because dpi has simply always been the name of it. I always say dpi too, for same reason, simply because that has always been the name for pixel resolution. Instead of telling newbies everything they hear is wrong, it seems much better to help them understand what they do hear.