In a medium saucepan over medium heat, add all the filling ingredients except the heavy cream and eggs.
1 cup + 2 tablespoons (273 grams) canned pumpkin puree, 1/2 teaspoon vanilla extract, 1/3 cup (66 grams) brown sugar, 1/3 cup (66 grams) granulated sugar, 1 3/4 teaspoons pumpkin pie spice, 1/4 teaspoon salt
When it starts to steam, stir frequently for about 5 minutes. This step removes some of the moisture, making the filling even creamier.
Remove from the heat, dump the filling into a bowl (that won't break when you dump something hot into it), and stir in the heavy cream.
3/4 cup + 4 teaspoons (190 grams) heavy cream
Let it sit for 15 minutes or until no longer very hot (you don't want the eggs to scramble which will happen if it's too hot). If you have time, you can just let it sit for about 30 minutes and skip using an extra bowl.
Whisk in the eggs one at a time, just until combined. There should not be streaks of pure egg because you'll have baked eggs pieces in your piece. They need to be incorporated, but not beaten too much, because that'll cause cracks. The filling should be room temp or cold when added to the cooled, baked shells - not warm. About 20 minutes before you’re ready to bake to assembled tarts, preheat the oven to 300 °F (150 °C). Place the baking sheets back in the oven in the same position as for the crusts.
2 large eggs