It is a RIA reciever that someone has rebuilt with mostly remington parts ( bbl , bolt , other "R" or "RP" marked parts ) and placed into what appears to be a new production "C" stock. If the work was done well , it should fill the needs you bought it for well.
Chris
PS , Remington produced the '03 before the 'A3 , but a 5-44 bbl would be an A3 bbl IIRC. Examine the rear sight mounting under the wood for shananagins.