Is a Single Proton Truly Stable or Do Theories Predict Its Decay?

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We know hydrogen atom is stable. Then, single proton is stable? Can we store it for a long time without decay?
Do we have any related equation about particle stability?
 
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It is currently unknown whether a proton is stable or not. We have never observed one to decay, but it could be either case.
 
In the standard model the proton is stable, but there are various GUT proposals which predict proton decay. Simple models like SU(5) and SO(10) have been ruled out experimentally b/c of the measured minimum proton lifetime; other's are still allowed.
 

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