Turn off / pause recording: no idea what you even mean, there's physical presence of opposite parties throughout the entire process.
Bribe inspection-related personnel: again, volunteer driven with volunteers from all parties plus independents - it will be hard to bribe your direct competitors (and enough of them).
The higher levels where numbers are tabulated publicize all numbers (in and out), so anything that's off can be verified locally in a distributed way.
The idea is that everything happens under public scrutiny. I don't see how that could work with fun algorithms and probabilities that only some experts can understand.
The main problem is that seemingly opposing forces collude secretly, but there won't be a fix for that in the voting mechanism.
Once you start adding more complicated math to it, you lose this very desirable property. Once you add tech, you have a black box (what does the silicon in this computer _really_ do?)