In a small bowl, stir together broth, vermouth, soy sauce, and sesame oil.
In a large skillet heat vegetable oil over moderately high heat until very hot. Add scallions, gingerroot, and shrimp, cook for 1 minute, and transfer to a platter. Add rice and cook until crispy. Add everything back to the pan, add the eggs, and cook until scrambled. Add the peas and cook, stirring for 2 to 3 minutes or until crispy. Add broth mixture and stir to mix well.
Bring a large pot of water to a boil. When it comes to a boil, add salt and then rice. Stir and then boil for 15 minutes or until just cooked. Drain, toss with butter, season with salt and pepper, to taste, and serve.