N.Y. Surr. Ct. Proc. Act § 714

§ 714. Certain orders or decrees of other courts to be filed in the\n surrogate's court\n Whenever the supreme court shall suspend or remove or accept the\nresignation of a guardian of an infant's person or property or both, or\nof a testamentary trustee appointed by it, a certified copy of the order\nor decree shall be filed in the surrogate's court of the county having\njurisdiction of the infant's person or estate or of the testamentary\ntrust and a minute thereof shall be made and indexed in the book or\nbooks kept by the surrogate in which similar orders or decrees made in\neach surrogate's court are entered.\n The county clerk of the county in whose office the order or decree of\nthe supreme court is entered, shall give written notice to the clerk of\nthe proper surrogate's court of the filing of such order or decree.\n