Whisk together the olive oil, tahini, lemon juice, 1 tablespoon hot water, the honey, salt, black pepper, cumin, and cayenne in a large bowl.
Peel the carrots, then use the peeler to shave the carrots into thin ribbons and add them to the bowl with the dressing.
Add the pistachios, mint, and parsley and toss to coat.
Top with more mint before serving.
