Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper or a silicone mat.
Roll out the puff pastry or pizza dough on a lightly floured surface into a rectangular shape about ¼ inch thick. Transfer it carefully to the prepared baking sheet.
Spread the shredded cheese evenly over the dough, leaving about a 1-inch border along the edges for the crust.
Cut the pepperoni slices into thinner strips to resemble mummy bandages, or leave them whole for wrapping.
Arrange the pepperoni slices in a random, overlapping pattern over the cheese, leaving some space for the mummy's face and wrapping details.
Use additional cheese strips to create bandage-like wrapping over the pepperoni, especially along the edges and for the mummy's head area.
Brush the exposed crust edges with the beaten egg wash to help them turn golden brown during baking.
Bake the pizza in the oven for about 12-15 minutes, until the crust is golden and crispy, and the cheese is bubbling and slightly browned.
Remove the pizza from the oven and let it cool for a few minutes. Optionally, add small dollops of cheese or extra pepperoni for eyes to enhance the mummy look.
Slice the pizza into pieces and serve while still warm to enjoy the gooey cheese and crispy edges.