Plunkett's Valid Points

 are a set of unarmed weapons in Fallout 3.

Charateristics
are a unique version of the Spiked Knuckles, but cannot be repaired by them. Prior to the add-ons, the Valid Points had the lowest AP cost of any weapon in the vanilla game.

Location
Plunkett's Valid Points are dropped by Junders Plunkett who is found at the Arlington House in the Arlington Cemetery. You must have the Lawbringer perk to get this item. The contract for his bounty can be found on the body of a Dead Regulator nearby, though finding this is not necessary for finding Plunkett.