Problem is, the default behavior of Beejive is to disconnect from the Beejive server a minutes to hours after use. When that happens, there are no more iPhone notifications.
If you want Beejive to behave more like SMS it looks like you need to set a very long Session Timeout. As long as you use Beejive once within that time it keeps your session running. I chose 7 days for Emily and I (but really we want "forever").
At least that's how I think it works, because as of today Beejive's online directions are for OS 3 and an earlier Beejive release.
This is not a good sign. Did the entire company (3 people?) implode?
I've written asking them for an explanation of the obsolete documentation.
Update 10/5/09: No response to my email. I discovered this am I was logged out -- but I shouldn't have been.
Update 12/4/09: More instances of being logged out, or Google thinking I'm offline when I'm supposed to be connected. The iPhone notification/IM infrastructure seems too fragile and demanding for this type of use.