https://github.com/pcaversaccio/randao-distribution

Empirical distribution of the randomness beacon (=RANDAO) provided by the Beacon chain.
https://github.com/pcaversaccio/randao-distribution

beacon-chain empirical-distributions proof-of-stake randao randomness-generation

Last synced: 6 days ago
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Empirical distribution of the randomness beacon (=RANDAO) provided by the Beacon chain.

• Host: GitHub
• URL: https://github.com/pcaversaccio/randao-distribution
• Owner: pcaversaccio
• License: wtfpl
• Created: 2022-09-19T15:54:05.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2022-09-19T21:49:24.000Z (over 2 years ago)
• Last Synced: 2024-10-29T03:22:58.150Z (about 2 months ago)
• Topics: beacon-chain, empirical-distributions, proof-of-stake, randao, randomness-generation
• Language: Python
• Homepage:
• Size: 479 KB
• Stars: 2
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Empirical RANDAO Distribution

Empirical distribution of the randomness beacon (=RANDAO) provided by the Beacon chain. The first Proof-of-Stake (PoS) block number is [`15537394`](https://etherscan.io/block/15537394). Beginning with `15537394`, every Beacon node sets the value of the `mixHash`, i.e. the field with the number 13 (0-indexed) in a block header, to the latest RANDAO mix of the post beacon state of the previous block. The probability of the RANDAO value to fall into the range between `0` and `2**64` is drastically low*. For more details, I refer to [EIP-4399](https://eips.ethereum.org/EIPS/eip-4399).

* The probability of `RANDAO > 2**64` is $1-\left(\frac{1}{2}\right)^{192}$ = 0.9999999999999999999999999999999999999999999999999999999998406908088867547722971119602232288194408895444807381213926114146613837099. 

## Visualisation from `blockNumber=15537394` to `blockNumber=15568555`