Step 1) Toss pork cubes with pepper. Heat 1-1/2 tablespoons oil in stock pot over medium-high heat. Sauté pork until just starting to brown; about 3 to 5 minutes. Push pork to the sides of the pot and add remaining 1-1/2 tablespoons oil. Add onion and garlic; cook an additional 3 to 5 minutes until onions soften. Stir frequently.
Step 2) Add hominy, salsa verde, water, cumin and oregano to pot; stir to combine. Bring to a boil; reduce heat to a simmer 15 minutes. Add additional water if mixture seems too thick.
Step 3) Serve in bowls topped with cilantro, cojita cheese, radishes and crema, if desired.