(a) Notwithstanding any provisions of this code to the contrary, the small estate of a decedent who dies domiciled in this state may be administered upon affidavit and without the appointment of a personal representative, and the small assets of the decedent may be paid or delivered to the authorized successor as provided in this article.
(b) Any successor of a decedent who dies domiciled in this state may execute and tender for recording to the clerk of the county commission, or the fiduciary supervisor of the clerk of the county commission, of the county in this state which would have jurisdiction over the probate concerning the estate and assets of the decedent an affidavit made upon oath and under penalty of perjury concerning the small estate setting forth in substance:
(1) The name and current address of the affiant;