N.Y. Comp. Codes R. & Regs. tit. 8, § 170.13
(d) funds derived from any State or private sources over which the city has no discretion, including:
For purposes of this section and Education Law, section 2576(5-b), city funds shall mean funds of each city having a population of 125,000 or more inhabitants and less than one million inhabitants derived from any source except: