Then it must have some sort of on board booster pump. Because that looks like a standard shop air line connected to it. I have not seen one of those hoses withstand 250 PSI let alone 5000..
It may look like a common use air hose to you.
May I say, looks can be deceiving.
http://www.hoseandfittingsetc.com/product/hydraulic-hose/
May I also suggest comparing the diameter of the connector to the lug nuts or other items.
The outer diameter of the connection point is approximately the same size from outer edge of the two eyes of these people. When was the last time you saw a pneumatic connector that big around.