N.Y. Real Property Tax Law § 1332
3. Upon receiving the statement referred to in subdivision two of this section from the collecting officer, the school authorities shall compare or cause to be compared such statement with the original school tax roll, and if it be found to be correct, they shall add to such statement their certificate to the effect that they have compared it, or caused it to be compared, with the original school tax roll and that it was found to be correct. Within twenty days after the receipt of any such statement, the school authorities shall transmit the statement and certificate as follows: