Your rifle is not listed on SRS. But it is very close to a block of National Match rifles. It is possible that it was originally a NM rifle that was used in matches. After the matches the rifles were usually rebuilt as standard M1903's using a new barrel. Many were then sold by through the DCM or returned to service. There is no way to be sure, but it is possible.
1253209A1 112235DCM RIFLE SALES 1922-42
1253213 051632DCM RIFLE SALES 1922-42
1253216A1 060436DCM RIFLE SALES 1922-42
1253230A1 120936DCM RIFLE SALES 1922-42
1253241A1 060536DCM RIFLE SALES 1922-42
1253245 031341APG MUZZLE PRESSURE TEST
1253247 061332DCM RIFLE SALES 1922-42
1253250 112531DCM RIFLE SALES 1922-42
1253273A1 112135DCM RIFLE SALES 1922-42
1253287 061732DCM RIFLE SALES 1922-42
1253328NM 041724FT DUPONT TO SA
1253333NM 011824DCM RIFLE SALES 1922-42
1253339NM 090827FT DUPONT TO SA
1253342NM 01063117TH ORD CO FT BENNING
1253366NM 090827FT DUPONT TO SA
1253372 070242USS MEREDITH (DD434)
1253390NM 041724FT DUPONT TO SA
1253390NM 050530DCM RIFLE SALES 1922-42
1253391NM 041724FT DUPONT TO SA
1253413NM 090827FT DUPONT TO SA
1253420A1 042836DCM RIFLE SALES 1922-42
1253425NMP 020124DCM RIFLE SALES 1922-42
1253455A1 042336DCM RIFLE SALES 1922-42