N.Y.C. Admin. Code § 5-312: § 5-312 Note of issue of the proceeding.

After all parties who have filed verified claims as provided in section 5-309 of this subchapter, have proved their title or have failed to do so after being notified by the corporation counsel of the time and place when and where such proof of title would be received by him or her, the corporation counsel shall serve upon all parties or their attorneys who have appeared in the proceeding a note of issue as provided in section five hundred six of the eminent domain procedure law. The clerk of the court must thereupon enter the proceeding upon the proper calendar according to the date of the entry of the order granting the application to condemn. When the note of issue has been served and filed, the proceeding must remain on the calendar until finally disposed of.