Your pistol has been assembled from parts and refinished after it left military hands. Guns that were refurbished at the arsenals never left with matching parts. Groups of pistols were disassembled and separated by type. The parts were inspected, then those that were still serviceable were refurbished. When pistols were assembled, all non-serviceable parts were replaced with either reclaimed and refurbished parts, or new replacement parts. Finally, after assembly was complete, the pistols were inspected and marked with a final inspection.
If your pistol was actually refurbished at an arsenal, the type of finish indicates it was a late rework, and wooden stocks were not available then. Your box and paper sound like they are possibly reproduction, or reclaimed by someone to use with this pistol. The stocks also look reproduction as well.
It looks like a very nice modern phosphate finish on the pistol. It has become quite common to build these pistols, apply fake arsenal markings and package them with repro boxes and paperwork. Still, it looks like a nice pistol. In the end, I just think it is important to know what you have.
More detailed photos might disclose more. Thanks for sharing.