N.H. Rev. Stat. Ann. § 215-C:38

The original white registration certificate shall be returned to a snowmobile registration agent completed on the reverse side with the probable date lost; the reason the decals or plates are missing, specifying, for example, lost, destroyed, or stolen; and the signature of the owner. The snowmobile registration agent shall issue new registration decals and certificate in accordance with RSA 215-C:37.