Whisk the yeast and pinch of sugar into the water and let stand 5 - 10 mins until it begins to bubble or foam.

In the bowl of a stand mixer fitted with a dough hook, mix the flour and the salt. With the mixer set to low, add the water/yeast mixture and the olive oil.

Knead for about 5 mins, until the dough is smooth. If it's too dry, add an additional tbsp or two of water, mixing well before adding the next. (By hand: stir together all ingredients and knead on the counter for 8-10 mins.)

Turn out onto a lightly floured surface and knead for about 2-3 mins until the dough is very smooth and then shape it into a ball.

Place the dough in a well-oiled large bowl, turning the dough so it is coated on all sides and cover the bowl tightly with plastic wrap. Allow it to rise at room temperature until doubled in size, 1 - 1 1/2 hrs. (Place the bowl in the warmest part of your kitchen.)

Lightly punch down the down and divide the dough into 2 pieces. Roughly shape the divided pieces into balls and cover with plastic wrap.

Preheat your oven to 500 degrees F or as high as your oven will go. Once the oven is hot, place two baking sheets or a pizza stone in the oven for about 5 minutes. While the baking sheets heat, stretch the dough.

Working with one piece and leaving the other covered, use a rolling pin or your hands to stretch the dough into a round or oblong shape (about 12 inches). If the dough springs back and loses its shape, cover it and set aside for a few mins before re-rolling (this allows the dough to relax). Repeat with the other dough.

Take the baking sheets out of the oven (careful! it will be crazy hot!), reduce the temperature to 450 F, and place the trays on a cooling rack or trivet. Sprinkle the bottom of the sheet pans with a handful of cornmeal. Place the stretched dough on the pan and stretch it evenly into a rounded or oblong shape. Repeat with the other dough.

Brush the rounds with 1 tbsp olive oil each. Place the baking sheets in the oven and bake for about 3-4 minutes, until the dough begins to bake and bubble.

Remove the baking sheets from the oven, divide the cheese evenly, and spread the cheese over the rounds, reserving about 1/4 of the cheese. Bring the cheese close to the edges.

Tear the ham into pieces and divide it evenly over the cheese, and again, bring it close to the edges. Scatter the remaining cheese over the ham and spread the chopped green onions that, reserving a Tbsp or so for garnishing. Sprinkle with freshly ground black pepper and a little kosher salt (to taste).

Create four depressions in each pizza and carefully crack an egg into each.( I recommend cracking each egg into a small bowl first, then pouring it in.)

Place the pizzas in the oven and bake for 10-12 mins, or until the pizzas are golden brown and bubbling, the crust is cooked through, and the eggs are cooked with runny yolks. Slice and serve hot.