Well so much for a shiny new G5. I now connect the ethernet cable for ten minutes at a time every few hours (as the problem always seem to occur after several hours of being connected). My (same) calculation is now three days running and I am actually getting some work done (the reason I have always bought macs to this point -- to get work done and not to have to screw around security/os problems). I just purchased a gigabit hub under the (superstitious) speculation that perhaps the problem was caused by either malformed packets or via automatic speed setting errors (but I have *no* evidence of them). In any case, I am now literally pulling the gigabit ethernet cable from the box most of the time which really sucks as I can't see the state of the calculations from home over the net (with the cable disconnected).
I did a more careful seach of the net, and sure enough on apple's mac os x server forumn there are a group of people with similar problems. The response from Apple seems to be that it *is* a lookupd problem, but they don't really seem to know what the cause is or how to fix it. At least one of the individuals there just order a linux box to replace the os x server, others are staying with 10.3. I am not so desperate (yet), I really like the mac os (when it works).
Has anyone heard any discussion of whether this is an issue being addressed with the 10.4.3 update? This is my hope from day to day (that and that the gigabit hub will fix the problem!)