What happens when I stuff the ballot box with a million non-existent votes?
Oh, so you voted correctly and you can prove it. Whoopy do!
> Let us go and check our votes are in the list. We could then have informal verification and audits of the counts.
You have the square root of bugger all - the integrity of the total count is what counts - not the individual votes.
Vote stealing and ballot rigging is a well understood human phenomenon - it is a solved problem.
Sprinkling some poorly thought out computer pixie dust on it is not even the beginning of an answer.