Salt the rim of the glass (optional): Rub the lemon and lime wedge around the rim of a tall glass. Fill a small plate with celery salt, if using, and dip the rim of the glass into the salt. Fill the glass with ice.

Squeeze the lemon and lime wedge into a cocktail shaker and drop them in. Add the tomato juice, vodka, horseradish, hot sauce, Worcestershire sauce, a grind of pepper, and ice and shake well.

Strain into the prepared glass and garnish with celery, parsley sprigs, green olives, and a lime wedge, as desired.