Preheat oven to 375°F/190°C for 45 minutes before baking the pie. Set the rack at the lowest level in the oven.
Whisk together the eggs and vanilla in a small measuring cup and set aside.
Combine the milk and heavy cream in a measuring cup and refrigerate until needed.
In a small saucepan, stir together the pumpkin, brown sugar, spices, and salt. Cook the mixture until it simmers over medium heat while stirring constantly. Reduce the heat to low and continue stirring for an additional 3-5 minutes or until mixture is thick and shiny.
Pour the mixture into the food processor and process for 1 minute and then add the milk and cream while still processing. Scrape down the bowl, close the lid, and add the egg mixture a third at a time while motor is running.
Pour mixture into pie crust, smooth the surface, and refrigerate for 30 minutes.
Roll out the second half of the pie crust and decorate the top of the pie.