Whisk all of the pickling liquid ingredients together in a large nonreactive saucepan, set over medium heat, continuing to whisk until the sugar dissolves. Remove from the heat and let cool.
Toss the vegetables together in a large nonreactive container. Pour the liquid over the top, cover, and chill for at least 4 hours and up to 5 days. Just before serving, stir the vegetables in the liquid to redistribute the aromatics, if desired.
To serve: Spoon into small bowls.