Chop the onion, celery, carrot, and bell pepper to prep your vegetables.
In a large pot, heat olive oil over medium heat and sauté vegetables until soft and fragrant, about 5-7 minutes.
Add black-eyed peas, garlic, smoked paprika, thyme, and a pinch of salt and pepper. Stir and cook for 2 minutes to bloom the spices.
Pour in the vegetable broth, bring to a gentle boil, then reduce heat to low. Cover and simmer for about 45 minutes or until peas are tender.
Adjust seasoning if needed and serve warm. Great with rice, cornbread, or roasted sweet potatoes.