Is There a Rigorous Proof That E_0 = mc^2?

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Hello everyone
Can some one please provide (a link to) the most rigorous proof of E_0 = mc^2?
Actually, I got stuck on this question: why doesn't E_0 = mc^2 + \rm{const}? How to prove that \rm{const} = 0?
 
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Hi, thanks for a quick reply.
In this paper it only proves that if energy of a body at rest is changed by dE, its mass also changes by dm=dE/c^2. It doesn't prove, however, a much stronger statement that all its energy equals its mass times c squared...
 

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