Add water, oil, flour, sugar, pepper, salt, and yeast to bread machine according to manufacturer's directions for a 1-pound loaf. Select dough cycle. When cycle is complete, remove dough from machine. Cover and let rest 10 minutes.
Divide dough in half. On a lightly floured surface roll each half into a 12x8-inch rectangle. Cut lengthwise into 1/2-inch-wide strips.
Combine egg white and 1 tablespoon water. Before separating strips, brush dough with egg-white mixture; sprinkle with sesame seed. Place strips about 1/2 inch apart on a lightly greased baking sheet. Shape into squiggles, or make a loop at one end, or twist dough. Bake in a 400 degree F. oven about 10 minutes or until golden brown. Cool on wire rack.
Make ahead tip:
Cool breadsticks; place in airtight freezer container or plastic freezer bag. Seal, label, and freeze up to 1 month.