New York Consolidated Laws, City Criminal Court Act - CRC § 62. Extension of time to pay fine

A judge shall have power in his discretion to extend time to pay any fine imposed upon a plea of guilty to or a conviction on any charge of a grade less than a misdemeanor.

A judge may issue a warrant or summons for the defendant if he has failed to appear or pay the fine;  when the defendant appears the judge may sign a commitment upon the failure of the defendant to pay the fine or may further extend the time to pay.