N.Y. Crim. Proc. Law § 570.62

§ 570.62 Non-waiver by this state.\n Nothing in this article contained shall be deemed to constitute a\nwaiver by this state of its right, power or privilege to try such\ndemanded person for offenses committed within this state, or of its\nright, power or privilege to regain custody of such person by\nextradition proceedings or otherwise for the purpose of trial, sentence\nor punishment for any offense committed within this state, nor shall any\nproceedings had under this article which result in, or fail to result\nin, extradition be deemed a waiver by this state of any of its rights,\nprivileges or jurisdiction in any way whatsoever.\n