2022 New York Laws
RPA - Real Property Actions and Proceedings
Article 7 - Summary Proceeding to Recover Possession of Real Property
751 - Stay Upon Paying Rent or Giving Undertaking; Discretionary Stay Outside City of New York.

§ 751. Stay upon paying rent or giving undertaking; discretionary stay
  outside  city  of  New  York.  The  respondent may, at any time before a
  warrant is issued, stay the issuing thereof and also stay  an  execution
  to collect the costs, as follows:
1.  Where  the  lessee  or  tenant  holds  over after a default in the
  payment of rent, or of taxes or assessments, he may  effect  a  stay  by
  depositing  the  amount of the rent due or of such taxes or assessments,
  and interest and penalty, if any thereon  due,  and  the  costs  of  the
  special  proceeding, with the clerk of the court, or where the office of
  clerk is not provided for, with the court,  who  shall  thereupon,  upon
  demand,  pay  the  amount  deposited  to  the  petitioner  or  his  duly
  authorized agent; or by delivering to the court or clerk his undertaking
  to the petitioner in such sum as the court approves to the  effect  that
  he  will  pay  the  rent, or such taxes or assessments, and interest and
  penalty and costs within ten days, at the expiration  of  which  time  a
  warrant may issue, unless he produces to the court satisfactory evidence
  of the payment.
2.  Where  the lessee or tenant has taken the benefit of an insolvency
  statute or has been adjudicated a bankrupt, he  may  effect  a  stay  by
  paying  the  costs  of  the  special proceeding and by delivering to the
  court or clerk his undertaking to the petitioner in such a  sum  as  the
  court  approves  to the effect that he will pay the rent of the premises
  as it has become or thereafter becomes due.
3. Where he continues in possession of real property  which  has  been
  sold  by  virtue  of  an execution against his property, he may effect a
  stay by paying the costs of the special proceeding,  and  delivering  to
  the  court  or  clerk  an affidavit that he claims the possession of the
  property by virtue of a right or title acquired after  the  sale  or  as
  guardian  or  trustee  for another; together with his undertaking to the
  petitioner in such a sum as the court approves to  the  effect  that  he
  will  pay any costs and damages which may be recovered against him in an
  action to recover the property brought against  him  by  the  petitioner
  within six months thereafter; and that he will not commit any waste upon
  or injury to the property during his occupation thereof.