there should be a serial number on the right side of the receiver near the barrel knox, another matching serial number on the right side of the barrel, and the bolt handle should also have a matchign serial number.
as a bonus the same serial number may be found on the bottom of the rear sight, on the bayonet lug/nose cap and on the bottom of the forestock near the nosecap.
a refurb rarely has all the same serial numbers.
however you do have an early nose cap, and button style cocking peice so that is a good sign.