Make sure your serial number is above 805,000 (I think that is right, you can check at CMP) so that you are sure you got the proper heat treated recievers.
The origional M1903 was just an M1903 and not a M1903A1. The A1 was the M1903 with a C stock and didn't come out until the late 20s..The M1903 (or 1903A1) is the original.
The '03A2 is a subcaliber device for cannons.
The '03A3 is the later version, in which the stock was simplified, the trigger housing and mag baseplate stamped (rather than machined), and the rear sight moved to the back of the reciever.
The '03A4 is a sniper rifle, built on the '03A3.
That is for the Sprinfield Armory made rifles. For the Rock Island rifles the serial number that had problems was something like less than 250,000 or so.The M1903 was the the first (it has the sights up in front of the action). Fine shooter, and generally well made (based on the Mauser). Make sure your serial number is above 805,000 (I think that is right, you can check at CMP) so that you are sure you got the proper heat treated recievers.