Turn pumpkin into saucepan and stir over direct heat for 10 minutes until somewhat dry and slightly caramelized, stirring frequently. Remove from heat but keep hot.
Mix thoroughly together the sugar, salt, and spices, and stir into hot pumpkin.
Beat eggs, add cream and milk, and beat into pumpkin mixture until smooth.
Pour immediately into unpricked pastry-lined pie pan and bake in a moderately hot oven (400° F) for 25 to 30 minutes or until pastry is golden brown and only an inch circle in the center of the filling remains liquid. Cool thoroughly on cake rack before cutting.
Note: Perfectly baked pumpkin pie has no cracks on its surface. Baking hot filling in a chilled crust at 400° F for 25 to 30 minutes produces a smooth, shiny good textured custard and a well-baked crust free from soaking. But if your pie dish is thicker glass or ceramic instead of metal, or you loathe underdone bottom crust, you might still want to blind bake it a little. Here's what we'd recommend: Blind bake at 350 F lined with parchment and filled with baking beans/weights until sides are dry and firm, 10 to 15 minutes. Remove weights, then bake until completely dry and firm (including bottom crust) and starting to turn golden, 5 to 10 minutes more. Cool thoroughly. Then watch the pie closely as it bakes -- it might be done early, since the cold raw crust isn't there to protect it. And if the edges are starting to look wrinkled while the middle is very jiggly, turn the heat down to 350.