Step 2: Remove pith from the top half
One you've removed the skin, you should have a denuded, and very sour fruit in your hands.
Grab on to the pitch near the very top of the fruit, as indicated by the image note below. If you're careful, you can actually peel off the pith, as seen in the second image. Generally, one can only get most of the top half of the pith with this method.
The third image shows the results.