Ellie Arroway (Jodie Foster), in the movie 'Contact', had this exact problem in overcoming accusations of deception. The matter was left open in the ending of the movie .. no one appeared as being 'wrong'.You sent a note detailing what you did, where you did it, when you did it, how you did it, why you did it, what order you did it in, how long it took you to do it, why it took you that long, and who the eyewitnesses were.
And besides, it wouldn't matter if they knew about it or not.
If you were accused of being deceptive, your accusers would be wrong, wouldn't they?
Looked to me that more independent repetitions of the experiment were going to be needed to overcome the accusations.
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