Bitcoins in space

[bosshyip]

Fed up with the state of the Earth, a group of people decide to build a space ship and find a new habitat among the stars. Due to weight constraints, they can't bring very much stuff. Luckily, bitcoins, weigh nothing. As their favorite earthly currency, they decide to bring it with them to their new home.

Assuming that they can find another habitable rock, get there without succumbing to the hazards of space travel, not trash said rock and annihilate themselves, and then reunite somehow with Earth, will the bitcoins they will have generated still work?