"well nigh impossible to manipulate"
How sophisticated is the adversary? Can they manipulate voltage and temperature? Can they use standard failure analysis tool used by chip makers?
Hardware random number generators are surprisingly difficult. The testing is necessarily statistical. Proving that your noise source isn't susceptible to bias from other activity in the chip and in the environment is...
I've seen spikes like this.
I'd suggest explicitly clamping the range and discarding any values that are outrageously large. Also, median filtering is very useful for smoothing out the signal.
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