In a small bowl, mix the ricotta, smoked sea salt, and cracked pepper. Set aside.
Wash and dry the carrots, and trim the ends. Using a vegetable peeler or a mandoline, make small lengthwise cuts into the side of the carrot, producing 2 to 3-inch ribbons. Place ribbons in a bowl and add kumquat juice, tarragon, and a pinch of smoked sea salt. Toss and gently massage.
Cut each slice of bread into halves (unless it’s a baguette), and gently toast in a toaster oven. Remove and plate. Shmear with ricotta, top with a little pyramid of carrot ribbons, and drizzle with olive oil. Serve immediately.