Fix ToC
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Hsiao-Wei Wang
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**NOTICE**: This document is a work-in-progress for researchers and implementers. It reflects recent spec changes and takes precedence over the Python proof-of-concept implementation [[python-poc]](#ref-python-poc).
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## Table of contents
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* [Ethereum 2.0 Phase 0 -- The Beacon Chain](#ethereum-20-phase-0----the-beacon-chain)
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* [Table of contents](#table-of-contents)
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* [Introduction](#introduction)
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* [Notation](#notation)
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* [Terminology](#terminology)
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* [Constants](#constants)
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* [Ethereum 1.0 deposit contract](#ethereum-10-chain-deposit-contract)
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* [Contract code in Vyper](#contract-code-in-vyper)
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* [Data structures](#data-structures)
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* [Beacon chain blocks](#beacon-chain-blocks)
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* [Beacon chain state](#beacon-chain-state)
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* [Beacon chain processing](#beacon-chain-processing)
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* [Beacon chain fork choice rule](#beacon-chain-fork-choice-rule)
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* [Beacon chain state transition function](#beacon-chain-state-transition-function)
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* [Helper functions](#helper-functions)
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* [`get_active_validator_indices`](#get_active_validator_indices)
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* [`shuffle`](#shuffle)
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* [`split`](#split)
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* [`clamp`](#clamp)
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* [`get_new_shuffling`](#get_new_shuffling)
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* [`get_shard_and_committees_for_slot`](#get_shard_and_committees_for_slot)
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* [`get_block_hash`](#get_block_hash)
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* [`get_beacon_proposer_index`](#get_beacon_proposer_index)
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* [`get_attestation_participants`](#get_attestation_participants)
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* [`bytes1`, `bytes2`, ...](#bytes1-bytes2-)
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* [`get_effective_balance`](#get_effective_balance)
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* [`get_new_validator_registry_delta_chain_tip`](#get_new_validator_registry_delta_chain_tip)
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* [`integer_squareroot`](#integer_squareroot)
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* [On startup](#on-startup)
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* [Routine for adding a validator](#routine-for-adding-a-validator)
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* [Routine for removing a validator](#routine-for-removing-a-validator)
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* [Per-block processing](#per-block-processing)
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* [Verify attestations](#verify-attestations)
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* [Verify proposer signature](#verify-proposer-signature)
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* [Verify and process RANDAO reveal](#verify-and-process-randao-reveal)
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* [Process PoW receipt root](#process-pow-receipt-root)
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* [Process special objects](#process-special-objects)
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* [`VOLUNTARY_EXIT`](#voluntary_exit)
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* [`CASPER_SLASHING`](#casper_slashing)
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* [`PROPOSER_SLASHING`](#proposer_slashing)
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* [`DEPOSIT_PROOF`](#deposit_proof)
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* [Epoch boundary processing](#epoch-boundary-processing)
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* [Precomputation](#precomputation)
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* [Adjust justified slots and crosslink status](#adjust-justified-slots-and-crosslink-status)
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* [Balance recalculations related to FFG rewards](#balance-recalculations-related-to-ffg-rewards)
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* [Balance recalculations related to crosslink rewards](#balance-recalculations-related-to-crosslink-rewards)
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* [Ethereum 1.0 chain related rules](#ethereum-10-chain-related-rules)
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* [Validator registry change](#validator-registry-change)
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* [If a validator registry change does NOT happen](#if-a-validator-registry-change-does-not-happen)
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* [Proposer reshuffling](#proposer-reshuffling)
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* [Finally...](#finally)
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* [Appendix](#appendix)
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* [Appendix A - Hash function](#appendix-a---hash-function)
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* [References](#references)
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* [Normative](#normative)
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* [Informative](#informative)
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* [Copyright](#copyright)
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<!-- TOC -->
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- [Ethereum 2.0 Phase 0 -- The Beacon Chain](#ethereum-20-phase-0----the-beacon-chain)
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- [Table of contents](#table-of-contents)
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- [Introduction](#introduction)
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- [Notation](#notation)
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- [Terminology](#terminology)
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- [Constants](#constants)
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- [Ethereum 1.0 chain deposit contract](#ethereum-10-chain-deposit-contract)
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- [Contract code in Vyper](#contract-code-in-vyper)
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- [Data structures](#data-structures)
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- [Deposits](#deposits)
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- [`DepositParametersRecord`](#depositparametersrecord)
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- [Beacon chain blocks](#beacon-chain-blocks)
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- [`BeaconBlock`](#beaconblock)
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- [`AttestationRecord`](#attestationrecord)
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- [`AttestationData`](#attestationdata)
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- [`ProposalSignedData`](#proposalsigneddata)
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- [`SpecialRecord`](#specialrecord)
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- [Beacon chain state](#beacon-chain-state)
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- [`BeaconState`](#beaconstate)
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- [`ValidatorRecord`](#validatorrecord)
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- [`CrosslinkRecord`](#crosslinkrecord)
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- [`ShardAndCommittee`](#shardandcommittee)
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- [`ShardReassignmentRecord`](#shardreassignmentrecord)
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- [`CandidatePoWReceiptRootRecord`](#candidatepowreceiptrootrecord)
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- [`PendingAttestationRecord`](#pendingattestationrecord)
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- [`ForkData`](#forkdata)
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- [Beacon chain processing](#beacon-chain-processing)
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- [Beacon chain fork choice rule](#beacon-chain-fork-choice-rule)
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- [Beacon chain state transition function](#beacon-chain-state-transition-function)
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- [Helper functions](#helper-functions)
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- [`get_active_validator_indices`](#get_active_validator_indices)
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- [`shuffle`](#shuffle)
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- [`split`](#split)
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- [`clamp`](#clamp)
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- [`get_new_shuffling`](#get_new_shuffling)
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- [`get_shard_and_committees_for_slot`](#get_shard_and_committees_for_slot)
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- [`get_block_hash`](#get_block_hash)
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- [`get_beacon_proposer_index`](#get_beacon_proposer_index)
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- [`get_attestation_participants`](#get_attestation_participants)
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- [`bytes1`, `bytes2`, ...](#bytes1-bytes2-)
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- [`get_effective_balance`](#get_effective_balance)
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- [`get_new_validator_registry_delta_chain_tip`](#get_new_validator_registry_delta_chain_tip)
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- [`integer_squareroot`](#integer_squareroot)
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- [On startup](#on-startup)
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- [Routine for adding a validator](#routine-for-adding-a-validator)
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- [Routine for removing a validator](#routine-for-removing-a-validator)
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- [Per-block processing](#per-block-processing)
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- [Verify attestations](#verify-attestations)
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- [Verify proposer signature](#verify-proposer-signature)
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- [Verify and process the RANDAO reveal](#verify-and-process-the-randao-reveal)
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- [Process PoW receipt root](#process-pow-receipt-root)
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- [Process special objects](#process-special-objects)
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- [`VOLUNTARY_EXIT`](#voluntary_exit)
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- [`CASPER_SLASHING`](#casper_slashing)
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- [`PROPOSER_SLASHING`](#proposer_slashing)
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- [`DEPOSIT_PROOF`](#deposit_proof)
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- [Epoch boundary processing](#epoch-boundary-processing)
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- [Precomputation](#precomputation)
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- [Adjust justified slots and crosslink status](#adjust-justified-slots-and-crosslink-status)
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- [Balance recalculations related to FFG rewards](#balance-recalculations-related-to-ffg-rewards)
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- [Balance recalculations related to crosslink rewards](#balance-recalculations-related-to-crosslink-rewards)
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- [Ethereum 1.0 chain related rules](#ethereum-10-chain-related-rules)
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- [Validator registry change](#validator-registry-change)
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- [If a validator registry change does NOT happen](#if-a-validator-registry-change-does-not-happen)
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- [Proposer reshuffling](#proposer-reshuffling)
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- [Finally...](#finally)
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- [Appendix](#appendix)
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- [Appendix A - Hash function](#appendix-a---hash-function)
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- [References](#references)
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- [Normative](#normative)
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- [Informative](#informative)
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- [Copyright](#copyright)
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<!-- /TOC -->
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## Introduction
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@ -329,7 +348,7 @@ When the contract publishes a `ChainStart` log, this initializes the chain, call
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}
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```
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A `SpecialRecord` object has the following fields:
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#### `SpecialRecord`
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```python
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{
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@ -416,7 +435,7 @@ A `SpecialRecord` object has the following fields:
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}
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```
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A `ShardAndCommittee` object has the following fields:
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#### `ShardAndCommittee`
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```python
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{
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@ -429,7 +448,7 @@ A `ShardAndCommittee` object has the following fields:
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}
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```
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A `ShardReassignmentRecord` object has the following fields:
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#### `ShardReassignmentRecord`
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```python
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{
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@ -748,7 +767,7 @@ def get_attestation_participants(state: State,
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#### `get_effective_balance`
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```python
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```python
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def get_effective_balance(validator: ValidatorRecord) -> int:
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"""
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Returns the effective balance (also known as "balance at stake") for the ``validator``.
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