Puree the beans in a food processor until smooth, adding the reserved liquid, as necessary, for a finished consistency that is spread-able but not too thin. Add olive paste and thyme. Puree again, and while pureeing, add extra-virgin olive oil and season, to taste, with salt and pepper. Reserve, and garnish with sprigs of thyme, if desired.
Preheat the oven to 425 degrees F.
Cut a crispy Italian bread into thick slices. Toast or grill until light brown and crispy. Then swipe once with a clove of fresh garlic, drizzle with olive oil. Spread with the White Bean Puree. Finish with a pinch of gray salt and freshly ground black pepper, if desired.