Indeed the first patent for a 'digital wrist watch' was taken out 12 Oct 1923 and granted 1st May 1924 by Peseux SA . Not a watch manufacturer but one of the greatest Ebauch (movement) manufacturers.
I am proud to have BOTH the patent and the watch. Here you go.
18kt Peseux Jump Watch (Hueres Sautantes) @1932
The Movement and Face. Beautiful Finish
On the Patent