N.M. Stat. § 1-12-10
Conduct of election; voter's name, address and signature.
A. A voter at the polls shall announce the voter's name and address in an audible tone of
voice. When a judge or election clerk finds the voter's name in the signature roster, the judge or
election clerk shall in like manner repeat the name of the voter. The judge or election clerk shall
then ask the voter to provide the required voter identification. The voter shall then sign the
voter's name or make the voter's mark on the signature line in the copy of the signature roster to
be returned to the county clerk. Upon the voter's name or mark being written in the signature
roster, a challenge may be interposed as provided in the Election Code [Chapter 1 NMSA 1978].
B. If a voter fails to provide the required voter identification, the voter shall be allowed to
vote on a provisional paper ballot.