Summit of Rainier, where is it?

To put things in context, as my name might indicate, I am of the Germanic tribe and we like things to be precise :

Few weeks ago a friend and I summitted Rainier and in every effort to be first on the true summit, both of us ran as fast as possible towards what we thought was the summit. Turns out we ran off into different directions ???

From a summit last year, I am 99% certain that the surveyor pin is in the spot marked accordingly on the map. My map and my partner claim that the summit is however a bit north.

Is the surveyor pin in the wrong spot or is the summit marking on my map off?