N.M. Stat. § 6-12-10
[Validity.]
The said bonds signed, countersigned, endorsed and sealed as provided in this act
[6-12-6 to 6-12-14 NMSA 1978], and coupons thereto attached, when sold, shall
constitute a valid and binding obligation upon the state of New Mexico, although the
sale thereof be made at a date or dates after the persons so signing, countersigning
and endorsing same shall have ceased to be the incumbents of their respective offices.