def charlie_double_withdraw(
zeth_client: MixerClient,
mk_tree: MerkleTree,
input1: Tuple[int, ZethNote],
charlie_eth_address: str,
keystore: mock.KeyStore) -> contracts.MixResult:
"""
Charlie tries to carry out a double spending by modifying the value of the
nullifier of the previous payment
"""
print(
f" === Charlie attempts to withdraw {CHARLIE_WITHDRAW_ETH}ETH once " +
"more (double spend) one of his note on the Mixer ===")
charlie_apk = keystore["Charlie"].addr_pk.a_pk
charlie_ask = keystore["Charlie"].addr_sk.a_sk
tree_depth = mk_tree.depth
mk_path1 = compute_merkle_path(input1[0], mk_tree)
mk_root = mk_tree.get_root()
# Create the an additional dummy input for the MixerClient
input2 = get_dummy_input_and_address(charlie_apk)
dummy_mk_path = mock.get_dummy_merkle_path(tree_depth)
note1_value = to_zeth_units(EtherValue(CHARLIE_WITHDRAW_CHANGE_ETH))
v_out = EtherValue(CHARLIE_WITHDRAW_ETH)
# ### ATTACK BLOCK
# Add malicious nullifiers: we reuse old nullifiers to double spend by
# adding $r$ to them so that they have the same value as before in Z_r,
# and so the zksnark verification passes, but have different values in
# {0;1}^256 so that they appear different to the contract.
# See: https://github.com/clearmatics/zeth/issues/38
attack_primary_input3: int = 0
attack_primary_input4: int = 0
def compute_h_sig_attack_nf(
nf0: bytes,
nf1: bytes,
sign_vk: JoinsplitSigVerificationKey) -> bytes:
# We disassemble the nfs to get the formatting of the primary inputs
input_nullifier0 = nf0.hex()
input_nullifier1 = nf1.hex()
nf0_rev = "{0:0256b}".format(int(input_nullifier0, 16))
primary_input3_bits = nf0_rev[:FIELD_CAPACITY]
primary_input3_res_bits = nf0_rev[FIELD_CAPACITY:]
nf1_rev = "{0:0256b}".format(int(input_nullifier1, 16))
primary_input4_bits = nf1_rev[:FIELD_CAPACITY]
primary_input4_res_bits = nf1_rev[FIELD_CAPACITY:]
# We perform the attack, recoding the modified public input values
nonlocal attack_primary_input3
nonlocal attack_primary_input4
attack_primary_input3 = int(primary_input3_bits, 2) + ZETH_PRIME
attack_primary_input4 = int(primary_input4_bits, 2) + ZETH_PRIME
# We reassemble the nfs
attack_primary_input3_bits = "{0:0256b}".format(attack_primary_input3)
attack_nf0_bits = attack_primary_input3_bits[
len(attack_primary_input3_bits) - FIELD_CAPACITY:] +\
primary_input3_res_bits
attack_nf0 = "{0:064x}".format(int(attack_nf0_bits, 2))
attack_primary_input4_bits = "{0:0256b}".format(attack_primary_input4)
attack_nf1_bits = attack_primary_input4_bits[
len(attack_primary_input4_bits) - FIELD_CAPACITY:] +\
primary_input4_res_bits
attack_nf1 = "{0:064x}".format(int(attack_nf1_bits, 2))
return compute_h_sig(
bytes.fromhex(attack_nf0), bytes.fromhex(attack_nf1), sign_vk)
(output_note1, output_note2, proof_json, signing_keypair) = \
zeth_client.get_proof_joinsplit_2_by_2(
mk_root,
input1,
mk_path1,
input2,
dummy_mk_path,
charlie_ask, # sender
(charlie_apk, note1_value), # recipient1
(charlie_apk, 0), # recipient2
to_zeth_units(EtherValue(0)), # v_in
to_zeth_units(v_out), # v_out
compute_h_sig_attack_nf)
# Update the primary inputs to the modified nullifiers, since libsnark
# overwrites them with values in Z_p
assert attack_primary_input3 != 0
assert attack_primary_input4 != 0
print("proof_json => ", proof_json)
print("proof_json[inputs][3] => ", proof_json["inputs"][3])
print("proof_json[inputs][4] => ", proof_json["inputs"][4])
proof_json["inputs"][3] = hex(attack_primary_input3)
proof_json["inputs"][4] = hex(attack_primary_input4)
# ### ATTACK BLOCK
# construct pk object from bytes
pk_charlie = keystore["Charlie"].addr_pk.k_pk
# encrypt the coins
ciphertexts = encrypt_notes([
(output_note1, pk_charlie),
(output_note2, pk_charlie)])
# Compute the joinSplit signature
joinsplit_sig_charlie = joinsplit_sign(
signing_keypair,
charlie_eth_address,
ciphertexts,
proof_json)
mix_params = contracts.MixParameters(
proof_json,
signing_keypair.vk,
joinsplit_sig_charlie,
ciphertexts)
tx_hash = zeth_client.mix(
mix_params,
charlie_eth_address,
# Pay an arbitrary amount (1 wei here) that will be refunded since the
# `mix` function is payable
None,
EtherValue(1, 'wei'))
return wait_for_tx_update_mk_tree(zeth_client, mk_tree, tx_hash)
def charlie_corrupt_bob_deposit(
zeth_client: MixerClient,
mk_tree: MerkleTree,
bob_eth_address: str,
charlie_eth_address: str,
keystore: mock.KeyStore) -> contracts.MixResult:
"""
Charlie tries to break transaction malleability and corrupt the coins
bob is sending in a transaction
She does so by intercepting bob's transaction and either:
- case 1: replacing the ciphertexts (or sender_eph_pk) by garbage/arbitrary
data
- case 2: replacing the ciphertexts by garbage/arbitrary data and using a
new OT-signature
- case 3: Charlie replays the mix call of Bob, to try to receive the vout
Both attacks should fail,
- case 1: the signature check should fail, else Charlie broke UF-CMA of the
OT signature
- case 2: the h_sig/vk verification should fail, as h_sig is not a function
of vk any longer
- case 3: the signature check should fail, because `msg.sender` will no match
the value used in the mix parameters (Bob's Ethereum Address).
NB. If the adversary were to corrupt the ciphertexts (or the encryption key),
replace the OT-signature by a new one and modify the h_sig accordingly so that
the check on the signature verification (key h_sig/vk) passes, the proof would
not verify, which is why we do not test this case.
"""
print(
f"=== Bob deposits {BOB_DEPOSIT_ETH} ETH for himself and split into " +
f"note1: {BOB_SPLIT_1_ETH}ETH, note2: {BOB_SPLIT_2_ETH}ETH " +
"but Charlie attempts to corrupt the transaction ===")
bob_apk = keystore["Bob"].addr_pk.a_pk
bob_ask = keystore["Bob"].addr_sk.a_sk
tree_depth = mk_tree.depth
mk_root = mk_tree.get_root()
# mk_tree_depth = zeth_client.mk_tree_depth
# mk_root = zeth_client.merkle_root
# Create the JoinSplit dummy inputs for the deposit
input1 = get_dummy_input_and_address(bob_apk)
input2 = get_dummy_input_and_address(bob_apk)
dummy_mk_path = mock.get_dummy_merkle_path(tree_depth)
note1_value = to_zeth_units(EtherValue(BOB_SPLIT_1_ETH))
note2_value = to_zeth_units(EtherValue(BOB_SPLIT_2_ETH))
v_in = to_zeth_units(EtherValue(BOB_DEPOSIT_ETH))
(output_note1, output_note2, proof_json, joinsplit_keypair) = \
zeth_client.get_proof_joinsplit_2_by_2(
mk_root,
input1,
dummy_mk_path,
input2,
dummy_mk_path,
bob_ask, # sender
(bob_apk, note1_value), # recipient1
(bob_apk, note2_value), # recipient2
v_in, # v_in
to_zeth_units(EtherValue(0)) # v_out
)
# Encrypt the coins to bob
pk_bob = keystore["Bob"].addr_pk.k_pk
ciphertexts = encrypt_notes([
(output_note1, pk_bob),
(output_note2, pk_bob)])
# ### ATTACK BLOCK
# Charlie intercepts Bob's deposit, corrupts it and
# sends her transaction before Bob's transaction is accepted
# Case 1: replacing the ciphertexts by garbage/arbitrary data
# Corrupt the ciphertexts
# (another way would have been to overwrite sender_eph_pk)
fake_ciphertext0 = urandom(32)
fake_ciphertext1 = urandom(32)
result_corrupt1 = None
try:
joinsplit_sig_charlie = joinsplit_sign(
joinsplit_keypair,
charlie_eth_address,
ciphertexts,
proof_json)
mix_params = contracts.MixParameters(
proof_json,
joinsplit_keypair.vk,
joinsplit_sig_charlie,
[fake_ciphertext0, fake_ciphertext1])
tx_hash = zeth_client.mix(
mix_params,
charlie_eth_address,
None,
EtherValue(BOB_DEPOSIT_ETH))
result_corrupt1 = \
wait_for_tx_update_mk_tree(zeth_client, mk_tree, tx_hash)
except Exception as e:
print(
"Charlie's first corruption attempt" +
f" successfully rejected! (msg: {e})"
)
assert(result_corrupt1 is None), \
"Charlie managed to corrupt Bob's deposit the first time!"
print("")
# Case 2: replacing the ciphertexts by garbage/arbitrary data and
# using a new OT-signature
# Corrupt the ciphertexts
fake_ciphertext0 = urandom(32)
fake_ciphertext1 = urandom(32)
new_joinsplit_keypair = signing.gen_signing_keypair()
# Sign the primary inputs, sender_eph_pk and the ciphertexts
result_corrupt2 = None
try:
joinsplit_sig_charlie = joinsplit_sign(
new_joinsplit_keypair,
charlie_eth_address,
[fake_ciphertext0, fake_ciphertext1],
proof_json)
mix_params = contracts.MixParameters(
proof_json,
new_joinsplit_keypair.vk,
joinsplit_sig_charlie,
[fake_ciphertext0, fake_ciphertext1])
tx_hash = zeth_client.mix(
mix_params,
charlie_eth_address,
None,
EtherValue(BOB_DEPOSIT_ETH))
result_corrupt2 = \
wait_for_tx_update_mk_tree(zeth_client, mk_tree, tx_hash)
except Exception as e:
print(
"Charlie's second corruption attempt" +
f" successfully rejected! (msg: {e})"
)
assert(result_corrupt2 is None), \
"Charlie managed to corrupt Bob's deposit the second time!"
# Case3: Charlie uses the correct mix data, but attempts to send the mix
# call from his own address (thereby receiving the output).
result_corrupt3 = None
try:
joinsplit_sig_bob = joinsplit_sign(
joinsplit_keypair,
bob_eth_address,
ciphertexts,
proof_json)
mix_params = contracts.MixParameters(
proof_json,
joinsplit_keypair.vk,
joinsplit_sig_bob,
ciphertexts)
tx_hash = zeth_client.mix(
mix_params,
charlie_eth_address,
None,
EtherValue(BOB_DEPOSIT_ETH),
4000000)
result_corrupt3 = \
wait_for_tx_update_mk_tree(zeth_client, mk_tree, tx_hash)
except Exception as e:
print(
"Charlie's third corruption attempt" +
f" successfully rejected! (msg: {e})"
)
assert(result_corrupt3 is None), \
"Charlie managed to corrupt Bob's deposit the third time!"
# ### ATTACK BLOCK
# Bob transaction is finally mined
joinsplit_sig_bob = joinsplit_sign(
joinsplit_keypair,
bob_eth_address,
ciphertexts,
proof_json)
mix_params = contracts.MixParameters(
proof_json,
joinsplit_keypair.vk,
joinsplit_sig_bob,
ciphertexts)
tx_hash = zeth_client.mix(
mix_params,
bob_eth_address,
None,
EtherValue(BOB_DEPOSIT_ETH))
return wait_for_tx_update_mk_tree(zeth_client, mk_tree, tx_hash)
def charlie_corrupt_bob_deposit(zeth_client: joinsplit.ZethClient,
mk_root: str, bob_eth_address: str,
charlie_eth_address: str,
keystore: mock.KeyStore,
mk_tree_depth: int) -> contracts.MixResult:
"""
Charlie tries to break transaction malleability and corrupt the coins
bob is sending in a transaction
She does so by intercepting bob's transaction and either:
- case 1: replacing the ciphertexts (or pk_sender) by garbage/arbitrary data
- case 2: replacing the ciphertexts by garbage/arbitrary data and using a
new OT-signature
Both attacks should fail,
- case 1: the signature check should fail, else Charlie broke UF-CMA
of the OT signature
- case 2: the h_sig/vk verification should fail, as h_sig is not a function
of vk any longer
NB. If the adversary were to corrupt the ciphertexts (or the encryption key),
replace the OT-signature by a new one and modify the h_sig accordingly so that
the check on the signature verification (key h_sig/vk) passes, the proof would
not verify, which is why we do not test this case.
"""
print(
f"=== Bob deposits {BOB_DEPOSIT_ETH} ETH for himself and split into " +
f"note1: {BOB_SPLIT_1_ETH}ETH, note2: {BOB_SPLIT_2_ETH}ETH" +
f"but Charlie attempts to corrupt the transaction ===")
bob_apk = keystore["Bob"].addr_pk.a_pk
bob_ask = keystore["Bob"].addr_sk.a_sk
# Create the JoinSplit dummy inputs for the deposit
input1 = joinsplit.get_dummy_input_and_address(bob_apk)
input2 = joinsplit.get_dummy_input_and_address(bob_apk)
dummy_mk_path = mock.get_dummy_merkle_path(mk_tree_depth)
note1_value = joinsplit.to_zeth_units(EtherValue(BOB_SPLIT_1_ETH))
note2_value = joinsplit.to_zeth_units(EtherValue(BOB_SPLIT_2_ETH))
v_in = joinsplit.to_zeth_units(EtherValue(BOB_DEPOSIT_ETH))
(output_note1, output_note2, proof_json, joinsplit_keypair) = \
zeth_client.get_proof_joinsplit_2_by_2(
mk_root,
input1,
dummy_mk_path,
input2,
dummy_mk_path,
bob_ask, # sender
(bob_apk, note1_value), # recipient1
(bob_apk, note2_value), # recipient2
v_in, # v_in
joinsplit.to_zeth_units(EtherValue(0)) # v_out
)
# Encrypt the coins to bob
pk_bob = keystore["Bob"].addr_pk.k_pk
(pk_sender, ciphertexts) = joinsplit.encrypt_notes([(output_note1, pk_bob),
(output_note2, pk_bob)
])
# Sign the primary inputs, pk_sender and the ciphertexts
joinsplit_sig = joinsplit.joinsplit_sign(joinsplit_keypair, pk_sender,
ciphertexts, proof_json)
# ### ATTACK BLOCK
# Charlie intercepts Bob's deposit, corrupts it and
# sends her transaction before Bob's transaction is accepted
# Case 1: replacing the ciphertexts by garbage/arbitrary data
# Corrupt the ciphertexts
# (another way would have been to overwrite pk_sender)
fake_ciphertext0 = urandom(32)
fake_ciphertext1 = urandom(32)
result_corrupt1 = None
try:
result_corrupt1 = zeth_client.mix(
pk_sender,
fake_ciphertext0,
fake_ciphertext1,
proof_json,
joinsplit_keypair.vk,
joinsplit_sig,
charlie_eth_address,
# Pay an arbitrary amount (1 wei here) that will be refunded
# since the `mix` function is payable
W3.toWei(BOB_DEPOSIT_ETH, 'ether'),
4000000)
except Exception as e:
print(f"Charlie's first corruption attempt" +
f" successfully rejected! (msg: {e})")
assert(result_corrupt1 is None), \
"Charlie managed to corrupt Bob's deposit the first time!"
print("")
# Case 2: replacing the ciphertexts by garbage/arbitrary data and
# using a new OT-signature
# Corrupt the ciphertexts
fake_ciphertext0 = urandom(32)
fake_ciphertext1 = urandom(32)
new_joinsplit_keypair = signing.gen_signing_keypair()
# Sign the primary inputs, pk_sender and the ciphertexts
new_joinsplit_sig = joinsplit.joinsplit_sign(
new_joinsplit_keypair, pk_sender, [fake_ciphertext0, fake_ciphertext1],
proof_json)
result_corrupt2 = None
try:
result_corrupt2 = zeth_client.mix(
pk_sender,
fake_ciphertext0,
fake_ciphertext1,
proof_json,
new_joinsplit_keypair.vk,
new_joinsplit_sig,
charlie_eth_address,
# Pay an arbitrary amount (1 wei here) that will be refunded since the
# `mix` function is payable
W3.toWei(BOB_DEPOSIT_ETH, 'ether'),
4000000)
except Exception as e:
print(f"Charlie's second corruption attempt" +
f" successfully rejected! (msg: {e})")
assert(result_corrupt2 is None), \
"Charlie managed to corrupt Bob's deposit the second time!"
# ### ATTACK BLOCK
# Bob transaction is finally mined
return zeth_client.mix(pk_sender, ciphertexts[0], ciphertexts[1],
proof_json, joinsplit_keypair.vk,
joinsplit_sig, bob_eth_address,
W3.toWei(BOB_DEPOSIT_ETH, 'ether'), 4000000)