Preparation

Make the pistachio butter

• Coarsely chop the pistachios in a food processor. Set aside half of the nuts. Pulse the remaining nuts until they are quite fine but not pasty. Add the parsley and mint, and pulse again until the herbs are finely chopped. Add the butter, cheese, zest, hot sauce, and 1 tsp. salt; pulse until well blended. If working ahead, scrape the butter onto plastic wrap, shape into a log, wrap, and freeze. Seal the reserved pistachios in a small zip-top freezer bag or other airtight container and freeze.

Cook and finish the carrots

• Take the butter out of the refrigerator if made ahead. Combine the carrots and 1 tsp. salt in a 4-quart saucepan and add enough water to just cover. Cover the pan and bring to a boil over high heat. Reduce the heat to maintain a simmer and cook to your liking, about 5 minutes for crisp-tender.
• Reserve about 1/4 cup of the cooking water, drain the carrots, and then return them to the pan. Add the butter in pieces and toss to melt and coat the carrots. Add the lime juice and some of the reserved water, if necessary. Season to taste with salt and more lime juice. Serve topped with the reserved pistachios.

Make Ahead Tips

The butter can be made up to one month ahead and frozen (along with the reserved pistachios). Thaw the butter in the refrigerator for one day and the pistachios at room temperature.

The carrots can be peeled and cut up to two days ahead. Seal in a zip-top bag or other airtight container and refrigerate.