Preheat oven to 450 degrees F. Line a baking sheet with parchment paper.
Separate the breadsticks and set aside. Using a pizza cutter, slice the cheddar cheese and ham to be the same width as the breadsticks. Set aside.
In a large bowl, whisk ½ cup baking soda into 4 cups hot water until it dissolves. The baking solution should be just slightly cloudy. Place a kitchen rag next to the bowl.
In a large bowl, whisk ½ cup baking soda into 4 cups hot water until it dissolves. The baking solution should be just slightly cloudy. Place a kitchen rag next to the bowl.
Layer the cheese and ham on top of the breadstick. Roll one end of the breadstick inward to create a spiral or pinwheel. Pinch the end of the breadstick to the side to seal. Place on the baking sheet and repeat until the baking sheet is full.
Bake until golden brown and puffed up, about 15 minutes. Tent the finished pretzels with foil to keep them warm. Repeat for the next batch.
Using a pastry brush, brush the butter onto the pretzels and sprinkle with salt.
