Every few days I get an email from Marie Ianotti from "About:Gardening". It's an Internet branch of the NY Times. Sometimes she has incredibly interesting facts there. Today is one of those days!
Go to her site about Paperwhites - Using Alcohol to Keep Paperwhites from Falling Over. You'll be amazed, as I was, I'm sure!
Paperwhites do get top heavy as suggested here and if there is something you can use that will help you avert that "happening"...hey! Try it!!!