Yes, Earth's core is lopsided. This lopsidedness has been revealed by studying seismic waves that have passed through the Earth's interior. These waves have shown that the solid inner core is not perfectly spherical, but instead has a slight bulge on one side.

The bulge is located on the side of the Earth that is facing the Pacific Ocean. It is thought to be caused by the Earth's rotation, which creates a force that pushes the liquid outer core against the solid inner core. This force can cause the inner core to bulge out on the side that is facing the Pacific Ocean.

The lopsidedness of the Earth's core has a number of implications. It can affect the Earth's magnetic field, which is generated by the movement of the liquid outer core. It can also affect the Earth's rotation, which is slowing down over time.

The lopsidedness of the Earth's core is a fascinating discovery that is still being studied by scientists. It is a reminder that the Earth is a complex and dynamic planet, and that there is still much that we do not know about its interior.