None of which are actually "uniquely yours", because everything we know to date about fingerprints or faces or DNA is that there is a low probability of collision with someone else having those same attributes, but it's not zero probability.

Somewhere, somewhen, there is likely to be another person who has a face, or fingerprints, or snippet of DNA that cannot be distinguished from yours within the accuracy of the tools we have today.

Or your breathe you push out of your lungs.

What about the image of my face I left behind on the subway, or on the field during an ultimate frisbee game? Sure you can keep my image on your camera, or photo print, but you may not profit from it, because it isn't your property.