Preheat oven to 375°F (190°C) and line a large baking sheet with parchment paper.
Heat olive oil in a large skillet over medium-high heat. Add diced onion and green pepper, sautéing until softened, about 5 minutes.
Add the thinly sliced ribeye to the skillet. Season with salt and pepper. Cook until the beef is browned and cooked through, about 3-5 minutes. Remove from heat and drain any excess liquid.
On the prepared baking sheet, arrange the crescent roll triangles in a circle with the wide ends overlapping in the center and the points facing outwards, leaving a 5-inch hole in the middle.
Place half-slices of provolone cheese on the wide part of the crescent dough nearest the center hole.
Spoon the steak and vegetable mixture evenly over the cheese.
Fold the points of the triangles over the filling and tuck them under the inner edge of the ring.
Brush the top of the dough with the beaten egg wash.
Bake for 18 to 22 minutes, or until the crescent dough is golden brown and cooked through.
Allow to cool for 5 minutes before slicing and serving.