N.Y. Real Prop. Law § 410
All papers filed by the registrar, and indexed and entered by him pursuant to this article, shall be of equal effect as to notice, in the order of their filing as shown by their filing numbers, as are similar papers when recorded by county clerk or registers under the recording acts. Should an action for registration be discontinued or otherwise terminated without registration, an order of court to that effect shall be filed with the registrar, who shall at once cause all the papers relating to the title to the property affected, filed with him, except the notice of application and said order, to be recorded or filed, and indexed, by the county clerk or register (as the case requires) in the order of their filing, on payment of the statutory fees.
N.Y. Real Prop. Law § 410