THIS would be one HELL of a basis for a new coin.

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So far I haven't been able to think of a solution to the "clone your hard drive" attack.

How does a single instance of data know that it has been copied?

It doesn't. hence: proof of work.

A better direction would be thinking of how to irreversibly imbue data with the PoW.

When I thought about that a little, I ended up with: you have to have an entire compute stack that respects PoW-imbued-data and only talks to other computers that do the same. And then I walked away from the idea because I realized it was just Urbit/Plunder/OPFN/doomed again.