Preheat oven to 325 degrees F.
Pulse cream cheese (16 ounces), erythritol (3/4 cup), and salt (1/4 teaspoon) together in a food processor until smooth. Pause, and scrape down the sides every few pulses.
Add the vanilla (1/2 teaspoon), pumpkin puree (1/2 cup), and pumpkin pie spice (1/2 teaspoon), and pulse until smooth.
Add the eggs (2 room temp), and pulse until smooth, again scraping down the sides occasionally to ensure everything combines.
Pour filling into prepared crust.
Place springform pan on a rimmed baking sheet.
Bake in preheated oven for 35 to 40 minutes, or until the edges are set / lightly brown, and the center is still slightly wobbly. This is important to prevent a cracking cheesecake! (overbaking is the easiest way to crack a cheesecake) There should still be about 2-3" of wobbly center in your cheesecake.
Allow the cheesecake to cool.
Once at room temp, refrigerate for 3 hours (or overnight!).
Cover with whipped cream and chopped nuts. Enjoy!