it doesn't make sense at first, but thats the way it is... assuming the tires are at equal pressure.
If you took tires off your bike, inflated them to 35 PSI, and put them on your car, they would compress down to the wheel rim. Its the reason why space-saver spare tires have to be inflated to 60psi. If you took your tiny little 145mm wide space saver spare tire, inflated it to the same 35psi that your normal 245mm tires were at, the skinny little tire would compress to the point that it looked flat.
Your pencil analogy doesn't work because it is a solid object. Imagine, instead, a blob of wet clay.. If you flatten the blob of clay into a pancake, and put it on its side, the edge that is contacting the table will compress upward, until you have X surface area touching the table. Now, take a blob of clay that is the same shape, but 10" thick, and put it on its side, it will barely compress at all.
I guarantee you the way I drew it above is correct. It is explained in many resources from general physics, to racing-specific publications.