Deeply nested chests cause the world save not to be listed for selection

The bug

If you deeply nest chests in your inventory and on spawn chunks you can cause the world not to be displayed for selection at the Load World screen.

How to reproduce

1. Start a throwaway test world in Creative
2. Give yourself a command block and place it
3. Use this command: Command.txt
4. Close the world
5. Open the singleplayer world list
   The world won't appear in the world list anymore but the files are still there

Note: If you use this command on multiplayer the complete player data of the affected player is reset.

See this unlisted video for context: http://www.youtube.com/watch?v=LyDG7XlNmuc

An affected world save is attached for reference.