What is the order of hidur re the following types of esrogim:
without a pitem
with a pitem
There is no halachic hiddur of takiing an esrog with a gartel.
Based on different opinions among rishonim, some (including Rav Elyashiv shlita) prefer an esrog with a pitom.
However, many do not agree with this hiddur, and see an esrog without a pitom (provided it fell off on the tree) as being just as mehudar.
Given the choice between similar esrogim, the one with a pitom should be preferred.