In C$++$ create a $4$ digit one time pin program to select a random pin number for a security system. The program should randomly pick four single$-$digit numbers from $"0"$ to $"9"$ and display them on the screen. Duplicate numbers are allowed. It should also calculate and display the sum of all of the values by adding the four numbers together to be used for error checking.

Use number$1=$ rand$()\%($max $-$ min $+1)+$ min; with $0$ as the min and $9$ as the max for this problem.