A sheet-like composite for a foodstuff container, the sheet-like composite including as layers of a layer sequence, in a direction from an external side of the sheet-like composite to an internal side of the sheet-like composite, a) a carrier layer, b) a polymeric intermediate layer, and c) an oxygen barrier layer, where the external side is a surface of a ply of the sheet-like composite which, in the foodstuff container, is intended to be in contact with the surroundings of the foodstuff container, where the internal side is a surface of a ply of the sheet-like composite which is intended, in the foodstuff container, to lie in contact with the contents of the foodstuff container, where the carrier layer includes one selected from the group consisting of cardboard, paperboard and paper, or a combination of at least two thereof, wherein the weight per unit area of the carrier layer is in a range from 120 to 450 g/m 2, where a graph of differential scanning calorimetry of the polymeric intermediate layer includes a peak A at a temperature T A and a peak B at a temperature T B, where the temperature T B is more than the temperature T A, where a width of the peak B is less by at least 3°C than a width of the peak A, where the differential scanning calorimetry is conducted and the widths of the peaks A and B are determined according to the test method as described herein, where the polymeric intermediate layer includes as sublayers of a sublayer sequence, in a direction from the external side of the sheet-like composite to the internal side of the sheet-like composite, a) a first intermediate layer, including i) an HDPE in a fraction in a range from 10 to 80 wt% based on the total weight of the first intermediate layer, and ii) an LDPE in a fraction in a range from 20 to 90 wt% based on the total weight of the first intermediate layer, and b) a further intermediate layer. a) a carrier layer, b) a polymeric intermediate layer, and c) an oxygen barrier layer, where the external side is a surface of a ply of the sheet-like composite which, in the foodstuff container, is intended to be in contact with the surroundings of the foodstuff container, where the internal side is a surface of a ply of the sheet-like composite which is intended, in the foodstuff container, to lie in contact with the contents of the foodstuff container, where the carrier layer includes one selected from the group consisting of cardboard, paperboard and paper, or a combination of at least two thereof, wherein the weight per unit area of the carrier layer is in a range from 120 to 450 g/m 2, where a graph of differential scanning calorimetry of the polymeric intermediate layer includes a peak A at a temperature T A and a peak B at a temperature T B, where the temperature T B is more than the temperature T A, where a width of the peak B is less by at least 3°C than a width of the peak A, where the differential scanning calorimetry is conducted and the widths of the peaks A and B are determined according to the test method as described herein, where the polymeric intermediate layer includes as sublayers of a sublayer sequence, in a direction from the external side of the sheet-like composite to the internal side of the sheet-like composite, a) a first intermediate layer, including i) an HDPE in a fraction in a range from 10 to 80 wt% based on the total weight of the first intermediate layer, and ii) an LDPE in a fraction in a range from 20 to 90 wt% based on the total weight of the first intermediate layer, and b) a further intermediate layer. a) a first intermediate layer, including i) an HDPE in a fraction in a range from 10 to 80 wt% based on the total weight of the first intermediate layer, and ii) an LDPE in a fraction in a range from 20 to 90 wt% based on the total weight of the first intermediate layer, and i) an HDPE in a fraction in a range from 10 to 80 wt% based on the total weight of the first intermediate layer, and ii) an LDPE in a fraction in a range from 20 to 90 wt% based on the total weight of the first intermediate layer, and b) a further intermediate layer.