In a medium bowl, stir together the flour, salt, baking powder, and baking soda. Add about 1/3 of the mixture into the batter, and beat until just combined. Then add in about half of the buttermilk, again mixing until just combined. Repeat this process until all of the buttermilk and dry ingredients have been added. You should have a fairly thick, smooth batter. Spread evenly into your prepared cake pans, and bake for 30-32 minutes, or until a toothpick inserted into the center comes out with just a few crumbs clinging to it. Cool the cakes for about 5-10 minutes in the pan before turning out and wrapping tightly in plastic wrap to finish cooling.