Pick boxes come in two sizes:
3 3/4" (95mm) and 4 1/4" (110mm).

Heights will vary due to natural thickness of wood as they are made from one piece.

Unusual lid hinge is my own design utilizing rare earth magnets allowing lid to pivot or be removed.

Pivot dot is mother of pearl. Shown are boxes made from walnut, canary and cherry. Many other woods available.