Can I somehow identify the physical machine from inside an OpenVZ container?

I am using some VPSes in OpenVZ containers. As I can see, our hosting provider somes moves them between his physical machines. It also means unwaited (and unexpected) reboots. I have no technical contact with the VPS provider (there is a... complex company structure ;-) ), but I would like to know, what is happening and why. I checked the /proc/cpuinfo, yes it sometimes changes. But it is not enough. Can I somehow extract some ID about the host machine, while I have only a root access to the VPS (and zero access to the host)?