Most majors will accept your flying time summary from arms. That being said, several folks I know built a granular logbook from those individual sortie lines at the harm office. It is/was a pain in the ass, but let's you break out the pic type data better.
Btw-that paper copy at the harm office is the only place data older than 12 months exists. If that joint burns down or someone gets shredder happy it's gone forever. Make copies early and often!