Toknormal has an opinion that any math stronger than addition and subtraction can't be used to verify cryptocurrency based balances
An account balance IS the result of addition and subtraction - nothing else.
So yes, what the public needs to see as an audit of an account balance is addition and subtraction - nothing else.
For any given address at random:
[1] - all the transactions that contribute to that balance (all inputs)
[2] - all the transactions that depleted that balance (spends)
[3] - the originating addresses for [1]
[4] - the destination addresses for [2]
https://www.youtube.com/watch?feature=player_detailpage&v=1-mOKMq19zU#t=15