Dark World

Are DW cards special summoned as soon as they hit the graveyard or does the card before have to resolve first?

I'm pretty sure that the card before has to resolve. I'm like 90% sure.

Any card effect that is in the resolution stage (such as the discard portion of Graceful Charity, Card Destruction, Morphing Jar, etc.) must resolve before Dark World monster effects activate.

The only thing that can interupt the resolution of card effects in the game of Yugioh at this time are the effects of Archfiends (there is always an exception to the rule it seems!)