The New York deli brisket sandwich is defined by water, not smoke. The beef is brined and then braised or steamed soft, never barbecued, and it lands on rye with horseradish or under a ladle of gravy. That wet-cooking method is the whole separation. Where the Texas reading is dry heat and bark, the deli reading is a moist, fork-tender braise that gives no resistance, and the sandwich is built around that softness rather than against a crust. The rye and the horseradish are not garnish; they are the structural counter that keeps a soft, fatty, savory pile from collapsing into one note.
The craft is upstream of assembly and finishes at the steam table. The brisket is brined for seasoning and color, then cooked low and wet until the connective tissue surrenders and the meat shreds or slices without effort. It is carved against the grain, thick enough to have presence, because a braised brisket sliced thin goes to mush in the hand. The rye is the standard load-bearing choice, a seeded, faintly sour loaf with enough structure to hold hot meat and a swipe of mustard without adding bulk; on a soft club roll the same filling reads as a lunch sandwich rather than a deli plate. Horseradish supplies the sharp heat a rich braise needs; the gravy version goes the other way, deliberately soaking the rye into something between a sandwich and a hot plate eaten with a fork. The rye-to-meat ratio is kept honest so the bread frames the brisket without competing.
The variations are bounded by the counter it comes from. Horseradish or brown gravy is the first fork; rye or club roll is the second; hot off the steam table or cold from the case is the third. It shares a deli with corned beef and pastrami and follows the same logic, the bread knowing its place under a mountain of cured or braised beef. It sits in the American barbecue catalog only by cut: its true relatives are the Jewish deli sandwiches and the genuinely different smoked Texas brisket, and those deserve their own articles rather than being crowded in here.