YIELD Makes about 2 1/2 quarts
4 pounds beef bones
1/2 bunch celery, coarsely chopped
1 medium onion, coarsely chopped
4 medium carrots, scrubbed, coarsely chopped
1 tablespoon tomato paste
1/2 cup olive oil
1 head of garlic, cloves thinly sliced
1 bunch herb stems (such as parsley, cilantro, and/or thyme)
4 bay leaves
1/2 teaspoon black peppercorns
1/2 teaspoon coriander seeds
Preheat oven to 450°F. Roast bones on a parchment-lined rimmed baking sheet 30 minutes. Arrange celery, onion, and carrots on sheet; roast 10 minutes. Spread tomato paste over bones and vegetables and roast 5 minutes more; let cool.
Meanwhile, heat oil in a small saucepan over medium and cook garlic, shaking pan occasionally, until golden, about 5 minutes. Immediately strain oil through a fine-mesh sieve into a bowl; set aside garlic. Set aside oil for Ditalini Risotto and other uses.
Transfer bones and vegetables to a large pot; pour in cold water to cover. Add herb stems, bay leaves, peppercorns, coriander seeds, and reserved garlic. Bring to a boil over medium heat. Reduce heat to low and simmer, skimming fat and foam from surface, until caramel colored and flavorful, about 3 hours. Strain stock through a fine-mesh sieve into a large bowl, pressing on solids; discard solids.
Stock can be made 3 days ahead. Let cool; cover and chill, or freeze up to 3 months.