Shaker Lemon Pie
Halve 2 of the lemons crosswise. Using the slicing blade of a food processor or a very sharp knife, slice them very thinly, removing the seeds as you go. Put the slices in a bowl. Remove the peel and pith from the remaining 2 lemons and discard. Chop the flesh finely, discarding the seeds. Add the flesh and juices to the bowl. Add the 3 cups (1 1/2 lb./750 g) sugar and stir gently to coat evenly. Cover with plastic wrap and refrigerate overnight.
Place a rack in the lower third of the oven and preheat to 425°F (220°C).
On a lightly floured surface, roll out 1 dough disk into a 12-inch (30-cm) round about 1/8 inch (3 mm) thick. Transfer to a standard (not deep-dish) 9-inch (23-cm) pie pan and fit the dough into the pan. Roll out the other dough disk for the top crust into the same-sized round.
In a small bowl, whisk the eggs until well blended, then add to the lemon mixture and stir well. Add the salt and melted butter and stir until blended. Pour the filling into the crust and spread evenly. Place the top crust over the filling and trim the edges, leaving a 3/4-inch (2-cm) overhang. Fold the overhang under itself and crimp the edges of the dough. Cut a few steam vents in the top crust. Lightly brush the crust with the egg white, then sprinkle with the 1 Tbs. sugar.