| 1 | smoked bone-in picnic ham (about 2 1/2 pounds) |
| 1 pound | split peas, rinsed and picked through |
| 4 | bay leaves |
| 1 teaspoon | dried thyme |
| 2 tablespoons | olive oil |
| 2 | medium onions, chopped medium |
| 2 | medium carrots, chopped medium |
| 2 | medium stalks celery, chopped medium |
| 1 tablespoon | unsalted butter |
| 2 medium cloves | garlic, minced |
| 1 pinch | granulated sugar |
| 3 | new potatoes, medium dice |
| to taste | ground black pepper |
| 1 tablespoon | balsamic vinegar |
| to garnish | minced red onion |