Minority Report was scanned in at 6k and finished at 4k for its 2009 remaster. Since it was shot in 2001 (for a 2002 release) in Super 35, it probably had that much "resolution" on the neg to work with.
They did the same thing for Raiders in 2012.
Since we know that this RMW job was done at 4k, it could very likely be from a 6k "oversampling" scan of the o-neg as well.