N.Y. LIE Law § 60

§ 60. Judgment in action to foreclose lien on account of public\nimprovement. If, in an action to enforce a lien on account of a public\nimprovement, the court finds that the lien is established, it shall\nrender judgment directing the state or the public corporation to pay\nover to the lienors entitled thereto for work done or material furnished\nfor such public improvement, to the extent of the sums found due the\nlienors from the contractors, so much of the funds or money which may be\ndue from the state or public corporation to the contractor, as will\nsatisfy such liens, with interest and costs, not exceeding the amount\ndue to the contractor. If it appears in any proceeding in which the\nstate is a party that a claim has been or can be filed against the state\nin the court of claims, or if it is alleged upon the part of the state\nthat the contractor has breached the contract, then the court may render\njudgment only to the extent of determining the establishment of the lien\nor liens, and the amount or amounts thereof.\n