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 thoroughly until all ingredients are well incorporated.
03 - Gradually add the flour to the mixture, stirring until a shaggy dough forms. Add cold water 1 tablespoon at a time, just enough to bring the dough together into a cohesive mass.
04 - Turn the dough out onto a lightly floured surface and knead gently until the texture is smooth and uniform.
05 - Roll the dough out to approximately 1/8-inch thickness. Using a sharp knife or pizza cutter, cut into 1-inch squares.
06 - Transfer the cut squares to the prepared baking sheet. Prick each cracker once or twice with a fork, then sprinkle lightly with coarse sea salt.
07 - Bake for 16–20 minutes until the crackers are golden brown and crisp. Rotate the baking sheet halfway through for even browning.
08 - Allow the crackers to cool completely on a wire rack. Store in an airtight container at room temperature for up to 1 week.