In a large mixing bowl, whisk together the flour and salt. Add the water and mix until a dough forms. Knead the dough for 5-7 minutes until it is smooth and elastic.
Cover the dough with plastic wrap and let it rest at room temperature for 30 minutes.
Divide the dough into four pieces. Roll each piece into a long, thin rope about 1/4 inch in diameter. Cut the ropes into 8-inch lengths.
Using your hands, roll each length of dough into a thick, cylindrical shape, about 1/4 inch in diameter. Repeat with the remaining dough.
Bring a large pot of salted water to a boil. Add the pici pasta and cook for 6-8 minutes, until al dente.
While the pasta is cooking, heat the olive oil in a large skillet over medium heat. Add the garlic and red pepper flakes and cook for 1-2 minutes, until fragrant.
Drain the pasta and add it to the skillet with the garlic and oil. Toss to coat the pasta with the sauce—season with salt and pepper to taste.
Serve the pici pasta hot, with freshly grated Parmesan cheese on top. Enjoy!