Step 1

In an Old-Fashioned glass, muddle a sugar cube with a few drops of water.

Step 2

Add several small ice cubes, then rye whiskey, Peychaud's bitters, and Angostura bitters. Stir well.

Step 3

Roll a few drops of absinthe around a second, chilled Old-Fashioned glass until its inside is thoroughly coated. Pour off the excess.

Step 4

Strain the contents of the first glass into the second. Garnish with a twist of lemon peel.