-snip-So if it's possible to extract the private key from the signature, every unspent transaction in the blockchain should've been stolen by now.
This is a little misleading as
those stolen transactions could be stolen again by other people, and then again and again, making the Bitcoin network worthless in the process. It's not a "central party steals all the bitcoins for themselves" kind of thing.
", it'll make more sense.
Thanks for the mention.
The unedited post badly explained why Bitcoin wont work if his query is possible.