Earlier quoted context omitted.
No, a clean browser and IP with the combination of what fonts I have installed, how my video card renders a canvas and WebGL instance (which may be affected not just by the video card you have, but the driver version used with it), my screen size, and a few other system level items that come through may or may or may not be enough to uniquely identify you. Along with linking to a prior profile if you screw up one tim…
I appreciate the information-theoretic validity of your argument, but if you think that one of these firms cares enough about your buying preferences to burn enough compute to find that correlation then you either work for the CIA or are mistaken.
To me, that seems par for the course for any service that's generating profiles of browsing behavior and trying to make any sort of decisions based on it. It reduces cruft and duplicate profiles while also providing more accurate information. Why wouldn't it be done?
> the information-theoretic validity of your argument
The portion about canvas, WebGL and AudtioContext hashing is not theory at all, it's well known practice from years ago. Jest the other day here there was a story about some advertiser on Stack Overflow trying to use the audio hashing to tracking purposes.
Hell, if you get enough identifiable bits of entropy, you can probably assume weak to strong level matching using a bit-level Levenshtein distance that's low enough.