Ice glass and set to one side. Separately, in another glass stir other ingredients with ice. Discard ice in the now chilled set aside glass and rinse with absinthe (or Herbsaint). Then strain drink into absinthe/Herbsaint washed glass.
Lemon zest twist
While bartenders in other cities have complicated the Sazerac by using a combination of spirits (us included), in New Orleans they keep it simple: straight rye whisky with a dash of sugar, stirred and strained into an Herbsaint washed glass.