[Nexus 10 Q&A, Help & Troubleshooting] nlaak:
Hmm, my crash problem seems to be a little different. I do have HD Widgets installed, but I don't see any reference to it around the reboot. This appears to be the relevant section of the log:

11-27 13:45:30.138 I/PowerManagerService(22742): Waking up from sleep...

11-27 13:45:30.138 I/WindowManager(22742): No lock screen!

11-27 13:45:33.918 W/InputMethodManagerService(22742): Window already focused, ignoring focus gain of: com.android.internal.view.IInputMethodClient$Stub$Proxy@419fe138 attribute=android.view.inputmethod.EditorInfo@4214ac30, token = android.os.BinderProxy@4213a898

11-27 13:49:10.528 W/ThrottleService(22742): unable to find stats for iface rmnet0

11-27 13:50:52.763 I/ActivityManager(22742): No longer want android.process.acore (pid 29130): empty for 1813s

11-27 13:51:32.843 I/PowerManagerService(22742): Going to sleep due to screen timeout...

11-27 13:51:38.268 D/PhoneStatusBar(22827): disable: < EXPAND* icons alerts TICKER* system_info back home RECENT* clock search >

11-27 13:51:53.473 D/PhoneStatusBar(22827): disable: < EXPAND icons alerts TICKER system_info BACK* HOME* RECENT clock search >

11-27 13:57:18.538 E/AndroidRuntime(22742): *** FATAL EXCEPTION IN SYSTEM PROCESS: ActivityManager

11-27 13:57:18.538 E/AndroidRuntime(22742): java.lang.NullPointerException

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.appendFrom(Parcel.java:428)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Bundle.writeToParcel(Bundle.java:1613)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeBundle(Parcel.java:605)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.location.Location.writeToParcel(Location.java:903)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeParcelable(Parcel.java:1254)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeValue(Parcel.java:1173)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeMapInternal(Parcel.java:591)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Bundle.writeToParcel(Bundle.java:1619)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeBundle(Parcel.java:605)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.location.Location.writeToParcel(Location.java:903)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeParcelable(Parcel.java:1254)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeValue(Parcel.java:1173)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeMapInternal(Parcel.java:591)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Bundle.writeToParcel(Bundle.java:1619)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Parcel.writeBundle(Parcel.java:605)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.content.Intent.writeToParcel(Intent.java:6660)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.app.ApplicationThreadProxy.scheduleReceiver(ApplicationThreadNative.java:763)

11-27 13:57:18.538 E/AndroidRuntime(22742): at com.android.server.am.BroadcastQueue.processCurBroadcastLocked(BroadcastQueue.java:230)

11-27 13:57:18.538 E/AndroidRuntime(22742): at com.android.server.am.BroadcastQueue.processNextBroadcast(BroadcastQueue.java:777)

11-27 13:57:18.538 E/AndroidRuntime(22742): at com.android.server.am.BroadcastQueue$1.handleMessage(BroadcastQueue.java:139)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Handler.dispatchMessage(Handler.java:99)

11-27 13:57:18.538 E/AndroidRuntime(22742): at android.os.Looper.loop(Looper.java:137)

11-27 13:57:18.538 E/AndroidRuntime(22742): at com.android.server.am.ActivityManagerService$AThread.run(ActivityManagerService.java:1481)

11-27 13:57:24.018 I/SystemServer(30958): Entered the Android system server!

11-27 13:57:24.018 I/SystemServer(30958): Waiting for installd to be ready.