Here is the order in full:

24A666 TRUMP, DONALD J. V. NEW YORK, ET AL.

The application for stay presented to Justice Sotomayor and by her referred to the Court is denied for, inter alia, the following reasons. First, the alleged evidentiary violations at President-Elect Trump’s state-court trial can be addressed in the ordinary course on appeal. Second, the burden that sentencing will impose on the President-Elect’s responsibilities is relatively insubstantial in light of the trial court’s stated intent to impose a sentence of “unconditional discharge” after a brief virtual hearing.

Justice Thomas, Justice Alito, Justice Gorsuch, and Justice Kavanaugh would grant the application.

Jeremy Stahl and I wrote about why the Court might have wanted to stay the sentencing at this link.