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Ok, I had some more time right now than I thought so I got it weighed, 3,3kg and muzzle diameter was 1,6 cm. Did not have my precision tools handy right now.

By the proof markings it looks like it produced in June 1932

Here are a couple of pictures of the proof marks.

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its something for kuduae but iirc there was a barrel maker Erich Kelber in suhl around 1930 who made barrels for a lot of gunmaker there like August Schüler.
the "EK" stamp maybe means him.


this is the barrel of my own G.G. -KABA 10,75x57
stamp with 631 is just one year older than your rifle