In the bowl of a stand mixer fitted with the dough hook, combine flour, yeast, salt, and malt powder.
Mix on low speed until well combined.
Add water, olive oil, eggs, and buttermilk.
Mix on low speed until ingredients are combined, about 1-2 minutes.
Increase speed to high.
Knead until dough pulls away from the bowl and becomes smooth, about 10-12 minutes.
Place in a covered container that has been sprayed with cooking spray.
Allow to rise in a warm place, or in a proofing box set to 78℉ until doubled in bulk, about 1-1½ hours.
Punch dough down and turn out on lightly floured surface.
Divide dough into fourths.
Round each piece of dough.
Wrap in plastic wrap.
Refrigerate for 20 minutes.
Working with one piece of dough at a time, remove from refrigerator.
Place on a piece of parchment.
Roll into a 12 inch circle.
Spread ¼ cup pesto over top, leaving a ½ inch border around outside edge.
Remove another piece of dough from refrigerator.
Roll into 12 inch circle.
Place on top of 1st circle of pesto covered dough.
Top with ¼ cup pesto, leaving a ½ inch border around dough
Repeat with 3rd piece of dough.
Top with remaining pesto, leaving a ½ inch border around dough.
Roll out final ball of dough and top.
Place a glass with a 2½ inch-3 inch mouth in center of dough.
Cut dough in equal quarters starting at glass and working to edge of dough.
Cut each fourth in half, following the same technique.
Cut each piece in half again.
Remove glass.
Gently lift 2 side-by-side pieces of dough.
Twist twice outwards.
Pinch ends together.
Repeat with remaining pieces of dough.
Cover with plastic wrap.
Heat oven to 350℉.
Make the egg wash by whisking together the egg and the water until smooth. Set aside.
When oven is hot, slide dough onto a flat pan.
Brush top and sides of dough with egg wash.
Place in oven.
Bake for 35-40 minutes, or until done.