I have no idea if this will help. I've tried others suggestions, like unplugging the keyboard and replugging it; didn't work. I tried restarting; didn't work. I tried rebooting in safe and repairing disk permissions; didn't work. I tried everything. Then I thought since sending over 20 crash reports out to apple didn't really seem to be getting any results, (I'm sure they are busy fixing other things) I will continue to tinker with my system, which hasn't been stable for a full day, until the last two days, where I haven't had one crash yet. Here's what I did that seems to have worked, although I cannot guarantee any results for anyone else:
Go into system preferences, security&privacy and turn OFF what Apple suggested to turn on, that is 'Require Password XX hour aftersleep or screen saver begins. Mine is now unchecked. The next box is also unchecked (show a message when the screen is locked) and the next, 'Disable automatic login' IS checked.
The other thing I changed was Setting the diplay, under 'Energy Saver' in system preferences, to Computer Sleep: NEVER and Display sleep: NEVER. Wake for network access is also checked under the energy saver system preferences.
That's all I changed and my system seems to be stable now. I haven't had a restart in 2 days, and I had over 20 previous to that, since upgrading to Mavericks.
Please let me know if this helped anyone or if this too, is just a flukey 'worked for me only' suggestion.
I don't suggest doing this on a laptop that's not secure, though, as you run the risk of keychained passwords being accessed. I live in a secure building and am on an iMac (2009) so thought it would be fine to disable screen security settings as there is limited access to my building. Good luck, hopefully Apple will come out with an update to prevent these random crashes. It's incredibly annoying and negligent, that they didn't test all models of computers that Mavericks would be approved for and installed on. Everything has its price, I guess, and this software update certainly wasn't 'free' as it has cost me tonnes of time and lost revenue from work.