Preheat the oven to 400 degrees F.
Slice the baguette in half crossways, and cut away the very last bit of the heel ends. Take each baguette half and slice in half lengthwise (as if you were going to make a sandwich). You should now have 4 equal pieces of baguette. Cut each quarter lengthwise into 3 strips, yielding 12 breadsticks. Brush with the olive oil and sprinkle evenly with the paprika, salt, and pepper. Bake until golden, about 7 minutes. Serve standing upright in a vase or large jar.