Pour a small amount of absinthe into a chilled coupe or cocktail glass. Swirl it around to coat the inside, then discard any excess.

In a mixing glass filled with ice, add the rye whiskey, sweet vermouth, and aromatic bitters.

Stir the mixture until well-chilled, about 30 seconds.

Strain the cocktail into the absinthe-rinsed glass. Garnish with a lemon twist, if desired.