Cut off the top and bottom of the pineapple, then peel it with a knife. Slice it into 4–5 mm thick rounds. Remove the core from the slices that need it. Dice each slice and set aside.
Remove the mint leaves from 5 sprigs and finely chop them. Add them to the pineapple along with the passion fruit, the mango vinegar, and the zest of the lime.
Cut the pomegranate in half lengthwise and extract the seeds. Keep them separate, as the juice stains a lot.
Plate the pineapple minestrone and sprinkle the pomegranate seeds over the top only at the end. Add one or more mint leaves for decoration.