The entire point of elections is proving your government is trustable, you can't trust your government with it because then it's like a self signed certificate, circular trust problem.
Who rigs elections in Russia? The government. Who is most likely to rig elections? The government.
You can't trust government with elections, and just because the government shows you documents doesn't mean anything. Governments fabricate documents all the time. If all you require from corrupt politicians to remain in control is a bunch of mailed documents, you can be sure they'll get those documents mailed. I'm just completely dumbfounded people living within countries with these elections think they are democracies.
Can you say more about this? So at each polling place 4 workers are assigned 800 votes, and then they rotate out to a different group of 4? I don't see how that inspires more trust than our current system, the government could simply be lying that they rotated the 4 poll workers out. Or, in a large city this would be a complete cluster as you'd need hundreds of poll workers on standby to rotate in & out every 30 minutes or so. I would definitely be interested in hearing more though