Place chicken thighs and veggies in a large stockpot. You can stack them on top of each other if you are making a lot at one time.
Add enough cold water to submerge the chicken thighs and bring it to a boil over high heat.
Once boiling, reduce to medium heat, and add chicken broth, carrot, celery, thyme, rosemary, peppercorns, and smoked paprika.
Continue cooking the chicken thighs for 20-30 minutes, then check for doneness using a digital instant-read thermometer. The internal temperature should reach 165 degrees F / 74 degrees C when inserted into the thickest part of the thighs, avoiding the bone.
When done, use a slotted spoon to remove the thighs from the water. Press them slightly against the side of the pot to squeeze as much water out of them as possible.
Place the chicken thighs on a rimmed baking sheet, skin side up. If desired, spritz with a bit of oil.
Broil the thighs in the oven on high until the skin is golden brown and crisp, about 5-8 minutes.