First of all welcome to the forum. Sit back as it is definitely an E ticket ride.
If you search the forum using the term Bekeart, you will probably come up with more information than you dreamed of.
There are several stages of "Bekeartness" if you are a purist or you can lump them all together.
The thought of a .22 caliber revolver made on the heavier .32 frame was the brain child of San Francisco gun dealer Philip Bekeart. Apparently he had several inquiries from customers wondering why S&W had never produced a target .22 but on a bigger or heavier frame such as the .32.
Thinking that this might be a money maker combination, he approached S&W about making such a gun. The factory would need to retool to produce it and was not willing to do so for only a few guns. They told Bekeart that they would need an order of 1000 revolvers to consider setting up to make the gun.
Bekeart thought that it would be an excellent product and assumed that he would sell them like "hotcakes". So as the story goes, in 1911 Bekeart ordered 900 to 1,000 guns and the factory went about the process of setting up to deliver. The first run was about 1,044 revolvers starting around serial number 138,226 and ending around 139,275, however, the first shipment to Bekeart was only 292 guns. They did not fly off the shelves as Bekeart had hoped and he did not take any more of the initial run. The balance of the 1,044 beyond the first 292 were distributed through S&W's normal dealers of the day.
Of this model, the first 3,000 produced also had a number stamped on the bottom of the stocks from 1-3000.
The .22/.32 became a regular cataloged item in 1915 at around serial number 160,000. A change order to recess the chambers in the cylinder was issued in 1935 and it is reported that this occured at around serial number 525,600.
So, a purist collector would consider only the first 292 (delivered to Bekeart) as "true Bekearts".
Second on the list would be one of the first production run of 1,044 but not shipped to Bekeart.
Third would be one of the ones from after the first run of 1,044 but still having a number on the stock bottom.
Fourth would be any .22/.32 without a number on the stock but shipped before 1915 when it became a cataloged gun.
Fifth would be any .22/.32 shipped between 1915 and 1935 when the cylinders became recessed.
Sixth would be any .22/.32 shipped after 1935 up until 1941 when the model was discontinued.
The only exception to this very general rule would be any gun beyond the first 292 that did ship to Bekeart. I have no direct knowledge as to whether this happened or not, however, it is possible that Bekeart could have ordered .22/32's after the initial 292 shipment and these would be considered a sub set of "true Bekeartness".
Now who says that collecting S&W's is boring????