Keep in mind that there were three different fixed-sight revolvers that are now commonly, and often incorrectly, referred to as "Police Positives."
There was the small .32 Police Positive, on the ".32 size frame," the .38 Police Positive, on the larger ".38 frame" and the Police Positive Special, also on the .38 frame but lengthened to accept longer cartridges such as .38 Special and .32-20.
There were also two different grip frame contours, at first narrow, commonly seen with the hard rubber stocks, and later wide, with checked walnut stocks. The change occurred around 1927, give or take.
Only the Police Positive Special remained following WWII, and when it was updated in the 1970s with a shrouded barrel, Colt's dropped the "Special" from the name, calling it simply the Police Positive.
The Official Police, the successor to the Army Special, was built on the ".41 frame," meaning that it could accommodate a cylinder large enough in diameter to accept .41 caliber cartridges, as opposed to the smaller .32 and .38 size frames.