Could you setup the box to log to another machine using syslog-over-TCP? This'd tell you if/when the kernel goes nuts. Also, recent 2.4 kernels (at least) start nuking things when memory gets tight.
That said, 32MB should be enough to run an X server...that's more RAM than most Unix workstations wuold have had 15 years ago. I *think* it's possible to run swap over NFS or such, but I'd say it'd be pretty hacky, at best :)
I've done another experiment: I switched to using IceWM instead of KDE. I thought I had the problem licked last night, but when I came back to the machine this morning, it was frozen. All I had going was the IceWM desktop.
Another variable, just in case it will shed any light: I'm using a USB ethernet adapter (Linksys USB100M; very small). I've heard in the past of problems with USB ethernet adapters disconnecting and causing problems, but even when I was running the locally installed image it never froze like this.
-- Bobman
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