That serial number looks like 1,2xx,xxx; if so, it is a Model 1903, not an '03A3. It is a very well done sporter, with what looks like high quality work overall and excellent stock work.
Again, if that is the serial number, it might be double heat treated or nickel steel (over 1275768). (Either would be fine; rifles with serial numbers under 800,000 are avoided for shooting due to problems with the heat treatment.)
Looks like a fine "hunting" rifle. I put "hunting" in quote marks because most folks who own "hunting" rifles like that never take them out for actual hunting; they might get wet or damaged!