Peel the carrots, then shave them with the vegetable peeler into long, thin ribbons; you’ll have about 4 cups.
In a medium bowl, toss the carrots with 1 Tbs. of the lime juice and 1/4 tsp. salt and let sit for 10 to 15 minutes.
Meanwhile, in a small bowl, combine the onion with the remaining 1 Tbs. lime juice, the coriander seeds, pepper flakes, and 1/4 tsp. salt. Let sit for 10 minutes, then add to the carrots along with the parsley. Toss to combine, drizzle with olive oil, and serve.
nutrition information (per serving):
Photo: Scott Phillips