Spiced Lentil Dip with Ginger and Coriander

Name: Spiced Lentil Dip with Ginger and Coriander
Ingredients: 2 cups brown lentils; 1 carrot, cut into 1-inch pieces; 1 medium red onion, chopped; 1 quart water; 4 tablespoons unsalted butter; 1 teaspoon ground cumin; 1 teaspoon ground coriander; 1 teaspoon ground ginger; 1/2 teaspoon freshly grated nutmeg; 1/2 teaspoon ground allspice; 1/4 teaspoon cayenne pepper; Salt and freshly ground black pepper; 1 tablespoon fresh lemon juice; 2 tablespoons chopped cilantro; Toasted pita triangles, for serving