A few more cleanups
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@ -29,52 +29,9 @@ Phase 1 depends upon all of the constants defined in [Phase 0](0_beacon-chain.md
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| `SHARD_PROPOSER_DOMAIN`| 129 |
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| `SHARD_ATTESTER_DOMAIN`| 130 |
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## Data Structures
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## Helper functions
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### Shard chain blocks
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A `ShardBlock` object has the following fields:
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```python
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{
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# Slot number
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'slot': 'uint64',
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# What shard is it on
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'shard_id': 'uint64',
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# Parent block's root
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'parent_root': 'bytes32',
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# Beacon chain block
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'beacon_chain_ref': 'bytes32',
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# Merkle root of data
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'data_root': 'bytes32'
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# State root (placeholder for now)
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'state_root': 'bytes32',
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# Block signature
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'signature': 'bytes96',
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# Attestation
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'participation_bitfield': 'bytes',
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'aggregate_signature': 'bytes96',
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}
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```
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## Shard block processing
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For a block on a shard to be processed by a node, the following conditions must be met:
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* The `ShardBlock` pointed to by `parent_root` has already been processed and accepted
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* The signature for the block from the _proposer_ (see below for definition) of that block is included along with the block in the network message object
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To validate a block header on shard `shard_id`, compute as follows:
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* Verify that `beacon_chain_ref` is the hash of a block in the (canonical) beacon chain with slot less than or equal to `slot`.
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* Verify that `beacon_chain_ref` is equal to or a descendant of the `beacon_chain_ref` specified in the `ShardBlock` pointed to by `parent_root`.
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* Let `state` be the state of the beacon chain block referred to by `beacon_chain_ref`.
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* Let `persistent_committee` be `[persistent_committee[i] for i in get_persistent_committee(state, slot, shard_id)`.
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* Assert `verify_bitfield(participation_bitfield, len(persistent_committee))`
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* Let `proposer_index = hash(state.randao_mix + int_to_bytes8(shard_id) + int_to_bytes8(slot)) % len(validators)`. Let `msg` be the block but with the `block.signature` set to `[0, 0]`. Verify that `BLSVerify(pub=validators[proposer_index].pubkey, msg=hash(msg), sig=block.signature, domain=get_domain(state, slot, SHARD_PROPOSER_DOMAIN))` passes.
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* Let `group_public_key = bls_aggregate_pubkeys([state.validators[index].pubkey for i, index in enumerate(persistent_committee) if get_bitfield_bit(participation_bitfield, i) is True])`. Verify that `bls_verify(pubkey=group_public_key, message_hash=parent_root, sig=block.aggregate_signature, domain=get_domain(state, slot, SHARD_ATTESTER_DOMAIN))` passes.
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We define the helper `get_persistent_committee` as follows:
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#### get_persistent_committee
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```python
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def get_persistent_commmitee(seed: Bytes32,
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@ -106,6 +63,52 @@ def get_persistent_commmitee(seed: Bytes32,
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)
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```
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## Data Structures
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### Shard chain blocks
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A `ShardBlock` object has the following fields:
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```python
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{
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# Slot number
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'slot': 'uint64',
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# What shard is it on
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'shard_id': 'uint64',
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# Parent block's root
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'parent_root': 'bytes32',
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# Beacon chain block
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'beacon_chain_ref': 'bytes32',
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# Merkle root of data
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'data_root': 'bytes32'
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# State root (placeholder for now)
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'state_root': 'bytes32',
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# Block signature
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'signature': 'bytes96',
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# Attestation
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'participation_bitfield': 'bytes',
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'aggregate_signature': 'bytes96',
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}
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```
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## Shard block processing
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For a `shard_block` on a shard to be processed by a node, the following conditions must be met:
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* The `ShardBlock` pointed to by `shard_block.parent_root` has already been processed and accepted
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* The signature for the block from the _proposer_ (see below for definition) of that block is included along with the block in the network message object
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To validate a block header on shard `shard_block.shard_id`, compute as follows:
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* Verify that `shard_block.beacon_chain_ref` is the hash of a block in the (canonical) beacon chain with slot less than or equal to `slot`.
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* Verify that `shard_block.beacon_chain_ref` is equal to or a descendant of the `shard_block.beacon_chain_ref` specified in the `ShardBlock` pointed to by `shard_block.parent_root`.
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* Let `state` be the state of the beacon chain block referred to by `shard_block.beacon_chain_ref`.
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* Let `persistent_committee` be `[persistent_committee[i] for i in get_persistent_committee(state, shard_block.slot, shard_block.shard_id)`.
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* Assert `verify_bitfield(shard_block.participation_bitfield, len(persistent_committee))`
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* Let `proposer_index = hash(state.randao_mix + int_to_bytes8(shard_block.shard_id) + int_to_bytes8(shard_block.slot)) % len(validators)`. Let `msg` be the `shard_block` but with `shard_block.signature` set to `[0, 0]`. Verify that `bls_verify(pubkey=validators[proposer_index].pubkey, message_hash=hash(msg), signature=shard_block.signature, domain=get_domain(state, shard_block.slot, SHARD_PROPOSER_DOMAIN))` passes.
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* Let `group_public_key = bls_aggregate_pubkeys([state.validators[index].pubkey for i, index in enumerate(persistent_committee) if get_bitfield_bit(shard_block.participation_bitfield, i) is True])`. Verify that `bls_verify(pubkey=group_public_key, message_hash=shard_block.parent_root, sig=shard_block.aggregate_signature, domain=get_domain(state, slot, SHARD_ATTESTER_DOMAIN))` passes.
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### Verifying shard block data
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At network layer, we expect a shard block header to be broadcast along with its `block_body`.
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