I suggest you start recording the time the user is working on the puzzle continuously. Each time they pause you record time played. If the user solves it in one setting then total time will match solve time. If the user works on the puzzle 3 time for instance you may record 45 secs, 30 secs, and 15 secs for a total solve time of 90 seconds. If these stats are included in what gets sent to online site it will be more obvious who is more likely to be cheating. When someone has a great time with only one continuous game time they are less likely to be cheating by doing a screen shot or recording puzzle with another device.
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