That's incorrect, there is an origin of the universe and it is the location of the big bang. All objects are moving away from this origin at a similar pace. The cosmological principle doesn't state that there is no center of the universe-- that's this guy's attempt at simplifying it for a more general audience. His balloon explanation is pretty much perfect. If you were to glue skittles onto the outside of a balloon and blow it up, you could watch as the skittles were pushed further and further away. If you measure the distance between any two skittles, it will always increase because they're both on the edge of this expanding shape. However, that doesn't mean there's no center, the center is easily calculable by measuring the balloon. Since the balloon also expands at a set pace, it's possible to account for this growth and find the real velocity at which the object is moving.
Also, I wasn't using the term ping as a literal signal ping. Ping also means to query, which is the way I was using it.