Roasted Beets With Crispy Sunchokes and Pickled Orange-Ginger Purée

Place the zest strips in a small saucepan and cover with water. Bring the water to a boil, then drain. Repeat this process two more times (blanching the orange zest removes any bitter flavors). Place the ginger and orange zest in a jar or heatproof container. In a saucepan, bring the lime juice, vinegar, sugar, and ¾ teaspoon salt to a boil. Pour over the ginger and orange. Let cool to room temperature, then cover and refrigerate overnight. The pickled ginger can be refrigerated for a couple of months.
Drain the pickled ginger and orange and save 3 tablespoons of the pickling liquid. Add both to a blender or mini food processor, along with the olive oil, chile, and remaining 2 tablespoons salt. Blend until very smooth, scraping down the side of the blender as needed. Transfer to a container and refrigerate until ready to use. The puree can be made a couple of days ahead. (Makes about 1 cup.)
Preheat the oven to 375°F. Place the beets in a baking dish (if using a mix of red and golden beets, separate them into two smaller dishes and divide the oil, vinegar, and water between the two dishes). Drizzle with the oil and add the water and vinegar. Season with salt and pepper. Cover the pan with foil and roast until the beets are tender when pierced with a knife; this can take anywhere from 30 minutes to an hour, depending on the thickness of the beets. Let the beets cool, then peel and cut into 1-inch wedges. Place each color of beet, along with any accumulated juices, into a small mixing bowl.
In a skillet, heat the oil over medium-low heat. Add the cashews and cook, stirring constantly, until golden brown. Transfer to a heat-proof bowl.
Pour 1 inch of oil into a small saucepan and add the sunchokes (there should be just enough oil to cover the sunchokes; add more oil if needed). Turn the heat to medium and stir occasionally; when the sunchokes begin to sizzle and foam, increase the temperature to high and continue frying, stirring constantly, until the sunchokes are light golden brown. At this point the sunchokes will rapidly go from golden brown to burnt, so quickly transfer the chips to paper towels to drain. Lightly season with salt. The sunchoke chips can be stored in an airtight container at room temperature for a day or two, or until they start to soften. (Makes about ½ cup.)
Using a sharp knife, cut the peel and pith off the orange. Working over a bowl, cut the orange between the membranes to release the segments. Dice the segments, then return them to the bowl.
Drizzle the beet wedges with a little bit of olive oil, season with salt, and toss.
Spread the ginger puree on the bottom of a shallow serving bowl or plate. Arrange the beets over the puree. Sprinkle the chopped orange segments over the beets and grind some pepper over the dish. Top with the cashews, herbs, and sunchoke chips. Serve.