Place pork cubes in a large Dutch oven. Add lime juice, garlic, chili powder, coriander, cumin, and salt. Add 1 cup water, just enough to barely cover pork.
Bring to a boil over high heat. Cover, reduce heat to medium low, and simmer for 30 minutes.
Remove lid, increase heat to medium (a steady simmer). Cook uncovered for 1 hour 45 minutes, until liquid is significantly reduced.
Add diced onion and minced jalapeƱo to the pot. Cook for 5-7 minutes until softened.
Pour in chicken broth, add the jar of Chile Verde salsa and the drained pinto beans. Stir and bring to a boil.
Once boiling, stir in the rice. Cover, reduce heat to a simmer, and cook for 18-20 minutes, or until rice is tender.
Remove from heat. Ladle into bowls and garnish with cilantro, a dollop of sour cream, and a lime wedge.