I find your definition of property lacking. I find it lacking because it implies that there's some series of ones and zeros that I cannot inscribe onto my plastic disc.

Emphasis on the word my.

If I own something, then I have the right to alter it as I please, so long as doing so does not damage the property of another. Your definition of property does not let me do this, and so conflicts with property rights in general. I am forced to reject it.

Your reliance on society (by which you seem to mean government) to define property rights defies reason. Can society declare that my person belongs to someone else? I reject such notions.