the double spend and counterfeit problems are solved, yet the problem of ensuring consistent data in the DHT remains to be solved.
One of the key realizations to be had is that these are essentially the same concern.
The double spending problem is completely eliminated by having unique coin IDs and using digital signatures. The worst attack nodes could do would be to mess up the distributed hash table. Admittedly, that has to be solved too but the double spending and counterfeit problems are solved in this way without the need for a block chain.