Combine the water, starter, salt, olive oil sourdough starter and honey in the bowl and whisk by hand.
Add the flour, knead until a smooth dough is formed and set aside for 30 minutes .
Then after 30 minutes knead the doughinto a smooth ball. Place in a clean, lightly oiled bowl. Cover with plastic wrap and let rise at room temperature until doubled in size, about 10-12 hour.
Divide the dough into 4 equal pieces. Lightly flour the work surface and place the balls of dough on the work surface.
In a small bowl make a paste of za’atar and olive oil and set aside.
Roll each ball into a 5- to 6-inch circle and place on the prepared baking sheet with cornmeal
Brush each dough circle with olive oil za’atar paste and set aside for another hour.
The dough should spring back when you touch it with your finger.
Preheat the oven to 400°F.
Bake the bread until they just start to brown around the edges, 12to 15 minutes. These are best served warm.