N.M. Const. art. XXII, § 9

[Territorial courts and officers; seals.] All courts existing, and all persons holding offices or appointments under authority of said territory, at the time of the admission of the state, shall continue to hold and exercise their respective jurisdictions, functions, offices and appointments until superseded by the courts, officers or authorities provided for by this constitution. Until otherwise provided by law, the seal of the territory shall be used as the seal of the state, and the seals of the several courts, officers and official boards in the territory shall be used as the seals of the corresponding courts, officers and official boards in the state; and for any new court, office or board created by this constitution, a seal may be adopted by the judge of said court, or the incumbent of said office, or by the said board.