This applies to the standard version, not the mobile version someone asked about:
As it has been stated here already, if you pin from the original source, you will not have a problem with pins disappearing. Plus, it is like giving proper credit; someone came up with that idea/craft/recipe/etc. When you use someone's photos in a report, you should give them credit, and it's the same on Pinterest. So, if you find an image you want to "repin", click on it, and when it opens as a larger image, you should see the source address on the upper right side of the image. It is a clickable link. Just click and go to the original source; THEN use your "Pin It" button to add it to your own board.
Hope this helps. I'm addicted to Pinterest, and find new stuff everyday!