Rinse the split peas, then soak them in water for at least 45 minutes. For a longer soak, you can leave them overnight.
Add the drained split peas, onion, garlic, smoked bones or pigtail (if using), pimento peppers, pumpkin, and 2 cups of water to a heavy-bottomed pot over medium-high heat.
Cook until the split peas are tender and can be easily crushed.
Add the washed rice, carrots, and remaining 2 cups of water. See Note 2.
Add the salt and all-purpose seasoning.
Reduce the heat to low, cover, and cook until the rice is tender.
Taste and adjust the salt and all-purpose seasoning as needed.