The USS Pasteur (NCC-58925) was a Federation Template:ShipClass hospital ship that was in service during the late 24th century. The Pasteur was constructed by the Skywalker Division at the Marin County Starfleet Yards.
In an unknown, alternate future timeframe, Captain Beverly Picard commanded the USS Pasteur. The ship was destroyed by two Klingon attack cruisers after the Pasteur crossed the Klingon border to scan the Devron system for a temporal anomaly. However, all hands were rescued beforehand by the USS Enterprise-D under the command of Admiral William T. Riker. Among the ship's crew of that timeline was Ensign Nell Chilton, who died during the Klingon attack. (TNG: "All Good Things...")
According to the Star Trek Encyclopedia, Journey's End: The Saga of Star Trek: The Next Generation, and an interview with Michael Okuda on the TNG Season 7 DVD special feature "The Making of 'All Good Things...'", an early pre-production version of the ship's dedication plaque designated the vessel as belonging to the "Hope-class" starship, before being changed to Olympic-class. It would also, however, erroneously list the ship's registry as NCC-58928.