A posting on the LittleBigPlanet news site tells us in all honesty the following:
"The LittleBigPlanet servers have been experiencing significant problems throughout the past 24 hours affecting the online game experience. We are working round the clock on the solution to the current issues and we expect the service to improve very shortly."
The message was last updated on 28/10/2008 18:10:45 on the US site following copies of the game hitting retail and online being hit heavily.
Source: LittleBigPlanet