01 - Preheat the oven to 350°F. Line a baking sheet with parchment paper.
02 - In a mixing bowl, combine the sourdough discard, shredded cheddar, softened butter, sea salt, garlic powder, and smoked paprika. Mix until fully incorporated.
03 - Gradually add the flour, mixing until a shaggy dough forms. Add cold water 1 tablespoon at a time, just until the dough comes together.
04 - Turn the dough onto a floured surface and knead gently until smooth and uniform.
05 - Roll out the dough to about 1/8-inch thickness. Using a sharp knife or pizza cutter, cut into 1-inch squares.
06 - Transfer the squares to the prepared baking sheet. Prick each cracker with a fork and sprinkle with coarse sea salt.
07 - Bake for 16 to 20 minutes, rotating the tray halfway through, until the crackers are golden and crisp.
08 - Let the crackers cool completely on a wire rack. Store in an airtight container at room temperature for up to 1 week.