In the bowl of a stand mixer, combine the warm water, brown sugar, and active dry yeast. Stir gently and let it sit for 5 to 10 minutes until foamy.
1½ cups (355 ml) warm water, 2 tbsps (25 g) packed dark brown sugar, 1 packet (7 g) active dry yeast
Add the melted butter, 2 cups (240 g) of the flour, and the salt. Mix on low speed until mostly combined. Add the remaining 2 cups (240 g) of flour and continue mixing on low until a shaggy dough forms.
3 tbsps (42 g) unsalted butter, 4 to 4½ cups (480 to 540 g) bread flour, 1 tsp (6 g) table salt
Increase the speed to medium and knead for 5 to 7 minutes, or until the dough is smooth and elastic. If the dough is very sticky, add more flour a tablespoon (15 g) at a time, up to ½ cup (60 g).
Lightly grease a large bowl with canola oil or cooking spray. Place the dough in the bowl, cover it with a clean towel or plastic wrap, and let it rise in a warm place for about 1 hour, or until doubled in size.
canola oil
Turn the dough out onto a lightly floured surface. Divide it into 6 to 8 pieces. Roll each piece into a rope about 1 inch (2.5 cm) thick, then cut into 1 to 1½ inch (2.5 to 4 cm) bites. Line two large baking sheets with parchment paper and arrange the pretzel bites on them.
Preheat the oven to 400°F (200°C). In a large pot, bring 9 cups (2.1 L) of water to a boil. Slowly add the baking soda, then reduce the heat to a simmer.
9 cups (2.1 L) water, ⅓ cup (75 g) baking soda
Working in batches, boil the pretzel bites for 20 to 30 seconds. Use a slotted spoon to remove them and return them to the prepared baking sheets.
In a small bowl, whisk together the egg and cold water. Brush the pretzel bites with the egg wash and sprinkle generously with coarse salt.
1 large egg, 1 tbsp (15 ml) cold water, corase pretzel salt
Bake for 10 to 14 minutes, or until deep golden brown. Serve warm with your favorite dipping sauce.