Finely shred the cabbage using a mandoline slicer on a fine setting or the slicer blade on a food processor. Be careful of the mandoline blade!
Peel carrots and apples, then grate using a shredder blade on a food processor (recommended) or the large holes on a box grater.
Combine cabbage, carrots, apples, pepitas, and sliced almonds in a large bowl.
In a separate bowl, combine all dressing ingredients and whisk until smooth. Add about half the dressing to the slaw and toss to combine. Taste and add more dressing to taste. I used about 3/4 of the dressing.
Enjoy as a barbecue or cookout side dish, or as a topping on a pulled pork sandwich! This is great immediately or the next day.