Agree with Richard. Even if you knew the spec, your spindle might deviate. Any deviation toward too large would make the Mint unuseable.
When measuring, take multiple readings along different axes of the spindle, in case it has any irregularities. Add .001" to the largest confirmed measurement.
The vast majority of LP's have more "slop" on the spindle than the Mint will, so a "perfect" fit is overkill, as well as increasing the risk Richard mentioned (which has already happened to at least one fellow A'goner).