New York Legislative Law Section 37 - Time of convening an extraordinary session.

 37. Time  of  convening  an extraordinary session. Upon receipt of a
  perfected concurring petition by the temporary president or the speaker,
  as the case may be, or upon the receipt of a perfected joint petition by
  both the temporary president and  the  speaker,  the  legislature  shall
  convene  in  an  extraordinary session at noon on the first Monday after
  the first Tuesday after the last day for the  return  of  signatures  on
  such  petition, or on any other day jointly agreed upon by the temporary
  president and the speaker, but no later than  the  second  Monday  after
  such Tuesday. The secretary and clerk shall forthwith notify the members
  of  the respective houses and the governor of the date and time when the
  legislature shall convene, and of the  subjects  to  be  considered,  as
  enumerated in the perfected joint or concurring petition.

Last modified: February 3, 2019