Of course I'm not thinking we should make a voter's ballot public. Through public key cryptography a voter should be able to secretly retrieve and confirm their votes. And like with any other system there would be a small handful of people who will "claim" their ballot was counted incorrectly. But as long as the system has integrity only a small handful of people will do this. If large swaths of people start blaming the system of counting their vote incorrectly then there are real problems we should all know about.