ammo
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A 44 Remington cap & ball, converted with a Kirst or R&D cylinder, or an Italian Uberti factory "conversion" are chambered in 45 Colt.
44 is a reference to the pre-cartridge era bores, where the caliber was determined by the bore before rifling, or the land diameter. Since the advent of metallic cartridges, caliber has been designated by the groove dimensions.
The groove diameter of a "44" cap & ball or conversion is 451-454, usually, and will handle 45 Colt or 45 Schofield ammo.
The code numbers on the ammo box is most likely a lot number so the ammo can be identified according to when it was made in case there are quality issues, or other liability questions.