Sounds like you’ve got a sporterized 03.
In addition to the “bubbarized” military rifles that we all know and cringe about, it was common during the early and mid 20th century for custom gunsmiths to make beautiful rifles based on military rifles. The 03 was extremely popular for such conversions.
And, of course, some conversions were less fancy – and were often done on somebody’s kitchen table. Since your rifle apparently has the original front sight and original finish, it doesn’t sound like a really good conversion (no offense!).
You seem to have what was referred to as a Mannilicher stock, which was somewhat popular back then (and Ruger still sells rifles stocked that way). However, it generally was used on barrel lengths of no more than 20 inches or so. Outfits such as Bishop, Fagen and Herter’s sold semi-inletted stocks like this for a variety of military rifles.
I can’t find a picture of a sporterized 03 with a Mannlicher stock. However, below is a nice example of a converted 03: