Bring a pot of water to a boil, add the 1/2 teaspoon salt and then add the rice. There should be enough water to fully submerge the rice. Bring to a boil, and then reduce heat to medium. Stir rice regularly until cooked, approximately 20 minutes.
Drain rice in a colander and then return to the pot in which it was cooked.
Prepare your burnt butter by placing your butter in a small sauce pot and melting it over medium heat. Continue to cook after the butter has melted, stirring regularly until your butter turns an amber brown and smells nutty. Be careful, butter goes from deliciously burnt to inedible relatively quickly.
When your butter is ready, pour it over the rice in the pot. Stir to coat your rice in the burnt butter and add the grated mizithra. Stir well. Season with salt and pepper as desired and some additional grated mizithra on top if you like. Serve immediately.