Applepushserviced: how to stop this insidious thing?

[DaviDC.]

In iTunes I unchecked the box that enables it to check for available downloads.
The next time I got a request from push.apple.com I allowed it to always establish a connection on any port.

I haven't been bothered by it since then, so that seems to have put it to rest.
BTW, I'm running 10.6.8 & version 2.2.2 of Little Snitch.

Thanks for the responses, guys!