Heat the oven to 350°F (175°C). Fit the chilled crust into a 9-inch pie plate and crimp the edge. Place the pie plate on a rimmed baking sheet for easier handling.
Whisk the eggs in a large bowl just until blended. Whisk in corn syrup, brown sugar, melted butter, vanilla, and salt until smooth; avoid whipping in excess air.
Scatter the pecans evenly over the crust. Pour the filling over them, then gently arrange a few pecan halves on top if you want a more even surface.
Bake for 50 to 60 minutes, until the outer filling is set and the center still has a slight wobble. If the crust browns too quickly, shield the edge loosely with foil.
Set the pie on a rack and cool completely, at least 2 hours. The center firms as it cools; cutting it warm can make the filling run.