A seal laminate for closing a mouth of a container is provided. The seal laminate includes a heat seal layer, a structural base support layer and upper and lower dimensional stable layers. The heat seal layer bonds the laminate to a rim surrounding the container's mouth. The structural base support layer may be comprised of a pulp, paper, cardboard, chipboard, paperboard, or cellulose based material having a moisture content of about 3 to about 6 percent and is positioned above the heat seal layer. The upper and lower dimensionally stable layers are disposed above and below the structural base support layer and are sized to balance the vertical forces on the structural base support layer upon exposure to about 60 percent or greater relative humidity. The upper and lower dimensionally stable layers have a water vapor transmission rate of about 1.5 g/100 in2/24 hours or below.