Preheat oven to 350 degrees. In the bowl of a stand mixer with paddle attachment, beat together cream cheese and pumpkin until well combined. Add sugar, salt, eggs, egg yolks and continue mixing until smooth. Add half and half, melted butter, vanilla extract and pumpkin pie spice.
Add pumpkin mixture to partially baked pie crust and bake for about 50 minutes, or until set in the center. Remove from oven and let cool. I like to serve this pie chilled or at room temperature.