Yes, when I first looked at it, I noticed the H S barrel so I figured it was a rebuild, although there is no ordnance rebuild mark that I can see. My A3 has an "OD" stamp on the stock.
Am I correct in that the pinned stock is an A3 stock and the one with the cross bolts in a 1903 stock? I might swap them.
This is the old thread on the 03A3,
https://www.milsurps.com/showthread.php?t=58936