For the smoked salmon: Remove the blood line from the center of the salmon; cut salmon into small cubes. Harvest only the egg whites from the hard-boiled eggs and chop egg whites. Gently mix all the ingredients together in a mixing bowl; reserve in the refrigerator. For the mixed greens: Mix together and reserve. For the crabmeat: Mix all the ingredients together; reserve in the refrigerator. For the avocado mousse: Remove pit, peel and seed the avocados, then coarsely chop. Emulsify all the ingredients together in a blender. Adjust seasoning without over mixing, and reserve in the refrigerator. For the creme fraiche: Mix all the ingredients together; reserve in the refrigerator. For the white balsamic dressing: Place vinegar, shallots, mustard and honey in blender; puree, then slowly add oil until emulsified. Season with salt and pepper. For the phyllo and brioche disks: Preheat the oven to 300 degrees F (150 degrees C). Cut one of the phyllo sheets with a round cookie cutter to make 6 disks 3 to 31/2 inches in diameter. Brush the phyllo with clarified butter. Place on a baking sheet with a SILPAT® nonstick baking mat, and bake about 15 to 20 minutes or until golden brown. Repeat the same procedure with the other phyllo sheet and with the brioche. To plate each serving: Using a round mold 3 to 31/2 inches in diameter, and starting with the brioche on the bottom, layer the salmon, the avocado mousse and the crabmeat. Garnish with the salmon roe and caviar. Place a quenelle (dollop) of creme fraiche on top of the salmon roe. Place the mold in the center of the plate and gently remove the mold, leaving the parfait in the center of the plate. Drizzle the white balsamic dressing in a half-moon shape around the parfait. Scatter the mixed greens on the plate and on the top of the parfait. Roll the edge of the phyllo disk in paprika and place vertically on top of the creme fraiche quenelle (dollop).