In a small bowl beat together 3 eggs plus one egg yolk. In a medium saucepan, off heat, stir together lime juice, lime zest, sugar, beaten eggs, and salt until smooth. Turn on heat to medium low and cook mixture until thickened stirring constantly (do not allow to come to a simmer and do not allow to sit or you chance scrambling the eggs). It is thick enough when it coats the spoon and a swipe of your finger leaves a stripe, as pictured. This takes bout 10 minutes.