In a large saucepan, whisk broth and curry paste; heat over medium heat to boiling.
Whisk in coconut milk and peanut butter; simmer for 2 to 3 minutes.
Stir in tomatoes, with liquid, and chicken: cook until heated through.
Season with kosher salt, to taste.
Sprinkle with chopped roasted peanuts and serve with lime wedges, if desired.