N.Y. Uniform Justice Court Act Law § 411

§ 411. Summons or notice of petition; filing nunc pro tunc.\n Where a summons in an action, or a petition or notice of petition in a\nspecial proceeding, has not been filed within the time prescribed by\nlaw, the court may order the filing thereof nunc pro tunc. In such\ninstance the court may in its discretion extend the responding time of\nthe other party.\n