Segwit transaction by hand

Bitcoin

Lets hand craft a SegWit transaction using only built-in Python3 functions for hex/bytes manipulation and Sagemath for elliptic curves arithmetic.

0. Utils

First thing first, a base class Segwit that provides hex representation for all instances and a few utility functions to transform int/hex to bytes and vice-versa.

Last, decode function decodes a Bech32 address into RIPEMD160 representation. See Bech32 segwit address blog post for more details, it's not alien, it is just ZSH script code.

  class Segwit(object):
    def hex(self) -> str:
      return bytes(self).hex()

  def int_to_bytes(x: int, length: int) -> bytes:
    return x.to_bytes(length, byteorder="little")
  def bytes_to_int(b: bytes) -> int:
    return int.from_bytes(b, byteorder="big")
  def hex_to_bytes(s: str) -> bytes:
    return bytes.fromhex(s)
  import hashlib
  def hash256(preimage: bytes) -> bytes:
    return hashlib.sha256(hashlib.sha256(preimage).digest()).digest()

  CHARSET = "qpzry9x8gf2tvdw0s3jn54khce6mua7l"
  CHARSET_BASE = len(CHARSET)
  def decode(addr: str) -> str:
    data = reversed(addr[4:-6])
    return '%x' % sum([CHARSET.find(c) * CHARSET_BASE**i for i, c in enumerate(data)])

  print(int_to_bytes(1, 4).hex())
  print(decode("tb1qm0r8qe0lxs8yf9tywxjtskntvdkzywsx2cacr2"))
01000000
dbc67065ff340e44956471a4b85a6b636c223a06

mind:

  • hex method that takes bytes of derived instances and spits out hex

  • little endian integer representation: 0x01000000 instead of 0x00000001

1. Create transaction

Txin

The input what we want to spend from:

  • tx_hash and tx_index - of the previous tx that we want to spend.

  • tx_address - the sender's address

  • tx_amount - the amount to spend

  class Txin(Segwit):
    def __init__(self, tx_hash, tx_index, tx_address, tx_amount, sequence=0xfffffffe):
      self.tx_hash = bytes(reversed(hex_to_bytes(tx_hash)))
      self.tx_index = int_to_bytes(tx_index, 4)
      self.tx_address = tx_address
      self.tx_amount = int_to_bytes(tx_amount, 8)
      self.sequence = int_to_bytes(sequence, 4)
    def __bytes__(self) -> bytes:
      scriptSig = int_to_bytes(0, 1)
      return self.tx_hash + self.tx_index + scriptSig + self.sequence

  txin = Txin(tx_hash="fd2fcee5dd168cf2cbb8c2d64b0fa98956ec892e7ea4526f2e54891814fecd25",
              tx_index=0,
              tx_address="tb1q7xats2uvpvysdna52c2j3p3zlnrfuhx3c4rj6n",
              tx_amount=100_000)
  print(txin.hex())
25cdfe141889542e6f52a47e2e89ec5689a90f4bd6c2b8cbf28c16dde5ce2ffd0000000000feffffff

mind:

  • the structure of this class (and others that will follow) with two methods:

    • \__init__ - constructor

    • \__bytes__ - bytes representation

Script

Bitcoin scriptting, we only use one scriptPubKey type called P2WPKH (Pay 2 Witness Public Key Hash), see BIP-141 Examples for more examples.

  class Script(object):
    @staticmethod
    def p2wpkh(address: str) -> bytes:
      witness_version = int_to_bytes(0, 1)
      witness_program = hex_to_bytes(decode(address))
      op_pushbytes_20 = int_to_bytes(len(witness_program), 1)
      return witness_version + op_pushbytes_20 + witness_program

  print(Script.p2wpkh("tb1qm0r8qe0lxs8yf9tywxjtskntvdkzywsx2cacr2").hex())
0014dbc67065ff340e44956471a4b85a6b636c223a06
  • hex representation of one p2wpkh output

Txout

These are the outputs that we want to send the Satoshis to:

  • 50_000 satoshi - to "tb1q65kw8v97qm6r753a7cv6hqtddcdwhtu360pjqd"

  • 49_817 satoshi - this is the change that comes back to us but to a different address

  • address - the address to send to

  class Txout(Segwit):
    def __init__(self, amount, address):
      self.amount = int_to_bytes(amount, 8)
      self.script = Script.p2wpkh(address)
    def __bytes__(self) -> bytes:
      size = int_to_bytes(len(self.script), 1)
      return self.amount + size + self.script

  txout1 = Txout(amount=49817, address="tb1q65kw8v97qm6r753a7cv6hqtddcdwhtu360pjqd")
  txout2 = Txout(amount=50000, address="tb1qm0r8qe0lxs8yf9tywxjtskntvdkzywsx2cacr2")
  print(txout1.hex())
  print(txout2.hex())
99c2000000000000160014d52ce3b0be06f43f523df619ab816d6e1aebaf91
50c3000000000000160014dbc67065ff340e44956471a4b85a6b636c223a06
  • the miner fee is the difference: 100_000 (input amount) - 50_000 + 49_817

Tx

The migthy TX class, maybe not so mighty yet but a little bit different from previous version, see BIP-141 TX specs.

We create the transaction and add the input and the two outputs defined above.

  class Tx(Segwit):
    def __init__(self, version, marker, flag, locktime=63062, sighash_type=1):
      self.nVersion = int_to_bytes(version, 4)
      self.marker = int_to_bytes(marker, 1)
      self.flag = int_to_bytes(flag, 1)
      self.nLockTime = int_to_bytes(locktime, 4)
      self.sighash_type = int_to_bytes(sighash_type, 1)
      self.witness = None
      self.txins, self.txouts = [], []
    def __bytes__(self) -> str:
      result = self.nVersion
      result += self.marker
      result += self.flag
      result += int_to_bytes(len(self.txins), 1)
      result += bytes(self.txins[0])
      result += int_to_bytes(len(self.txouts), 1)
      result += bytes(self.txouts[0])
      result += bytes(self.txouts[1])
      if self.witness:
        result += self.witness
      result += self.nLockTime
      return result

  tx = Tx(version=2, marker=0, flag=1)
  tx.txins.append(txin)
  tx.txouts.append(txout1)
  tx.txouts.append(txout2)

  tx_hex = tx.hex()
  print(tx.hex())
0200000000010125cdfe141889542e6f52a47e2e89ec5689a90f4bd6c2b8cbf28c16dde5ce2ffd0000000000feffffff0299c2000000000000160014d52ce3b0be06f43f523df619ab816d6e1aebaf9150c3000000000000160014dbc67065ff340e44956471a4b85a6b636c223a0656f60000
  • unsigned transaction hex

2. Sign transaction

Lets's get down to signature business but first please take a quick look at few blog posts:

Sighash

Heavy stuff, transaction digest algorithm as defined in BIP-143. Basically we take parts of the transaction and double hash it with sha256.

  class Sighash(Segwit):
    def __init__(self, tx, txin, sighash_type=1):
      self.tx, self.txin = tx, txin
      self.sighash_type = int_to_bytes(sighash_type, 1)
    def prevouts(self) -> bytes:
      tx_hash = self.tx.txins[0].tx_hash
      tx_index = self.tx.txins[0].tx_index
      return hash256(tx_hash + tx_index)
    def sequences(self) -> bytes:
      return hash256(self.tx.txins[0].sequence)
    def outpoint(self) -> bytes:
      return self.txin.tx_hash + self.txin.tx_index
    def script(self) -> bytes:
      return hex_to_bytes('1976a914' + decode(txin.tx_address) + '88ac')
    def outputs(self) -> bytes:
      result = self.output(self.tx.txouts[0])
      result += self.output(self.tx.txouts[1])
      return hash256(result);
    def output(self, txout) -> bytes:
      return txout.amount + txout.script
    def __bytes__(self) -> bytes:
      result = self.tx.nVersion
      result += self.prevouts()
      result += self.sequences()
      result += self.outpoint()
      result += self.script()
      result += self.txin.tx_amount
      result += self.txin.sequence
      result += self.outputs()
      result += self.tx.nLockTime
      result += self.sighash_type
      return hash256(result)

  sighash = Sighash(tx=tx, txin=txin)
  print(sighash.hex())
657944fb0e113e01e94909b377843889c2311e3a4cfc7dae88d845d3eaee5398
  • transaction digest to be signed in next sections

Private key

So good, go good, our primary key that has to be kept secret at all costs, right?

  private_key = 0x8e9d4e802cecb0f703bd2d0136c3527670a79a9dc6d112ba2951ddc60c3da294
  print('%x' % private_key)
8e9d4e802cecb0f703bd2d0136c3527670a79a9dc6d112ba2951ddc60c3da294
  • just the private key hex

Public key

Generate public key using the above private key. Elliptic curves post might help, also keep in mind that the following code snippet is Sagemath / Python.

  p = 2**256 - 2**32 - 2**9 - 2**8 - 2**7 - 2**6 - 2**4 - 1
  F = FiniteField(p)
  E = EllipticCurve(F, [0, 7])
  G_x = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
  G_y = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
  G = E([G_x, G_y])
  n = G.order()

  P = int(private_key, 16) * G
  even = "02" if int(P.xy()[1]) % 2 == 0 else "03"
  public_key = even + '%x' % P.xy()[0]
  print(public_key)
02312e22e2bb3591647b4b97ea6f98dd16b216bb3ad473759282a3de33605106fc
  • compressed public key

Signature

Standard ECDSA signature returned as DER format

  class Der(object):
    def __init__(self, der=0x30, ri=0x02, r=None, si=0x02, s=None, sighash_type=0x01):
      self.der = der
      self.ri, self.r = ri, int_to_bytes(int(r), 32)
      self.si, self.s = si, int_to_bytes(int(s), 32)
      self.rl, self.sl = len(self.r), len(self.s)
      self.sighash_type = sighash_type
    def __bytes__(self) -> bytes:
      result = bytearray([self.der])
      result += int_to_bytes(int(2 + self.rl + 2 + self.sl), 1)
      result.append(self.ri)
      result += int_to_bytes(self.rl, 1)
      result += self.r
      result.append(self.si)
      result += int_to_bytes(self.sl, 1)
      result += self.s
      result.append(self.sighash_type)
      return bytes(result)
    def hex(self) -> str:
      return bytes(self).hex()

  def ecdsa_sign(pk: int, sighash: str):
    t = randint(2, n)
    R = t * G
    r = mod(R[0], n)
    m = int(sighash, 16)
    s = mod((m + r * int(pk, 16)) * inverse_mod(t, n), n)
    return Der(r=r, s=s)

  signature = ecdsa_sign(private_key, sighash)
  print(signature.hex())
30440220fc16c3b6475a11f9d1150b9364c5e507e5ae180a89b1d6624e348d0b22f4beee0220a5a870d97bde2931df756e7677045380646ccf163be1f472025ca83d01b1418b01
  • the signature

Validate

And finally, the moment of the truth, with the signature generated above, create the witness, set it into tx and validate the final tx hex using bitcoin-cli and decoderawtransaction.

  def witness(signature) -> str:
    ver = bytearray([0x02])
    sig = hex_to_bytes(signature)
    sig_size = int_to_bytes(len(sig), 1)
    pubkey = hex_to_bytes(public_key)
    pubkey_size = int_to_bytes(len(pubkey), 1)
    return ver + sig_size + sig + pubkey_size + pubkey

  tx.witness = witness(signature)
  tx_hex = tx.hex()
  print("Signed TX: " + tx_hex)

  import subprocess
  process = subprocess.run(["bitcoin-cli", "decoderawtransaction", tx_hex], capture_output=True)
  print(process.stdout)
  print(process.stderr)
Signed TX: 0200000000010125cdfe141889542e6f52a47e2e89ec5689a90f4bd6c2b8cbf28c16dde5ce2ffd0000000000feffffff0299c2000000000000160014d52ce3b0be06f43f523df619ab816d6e1aebaf9150c3000000000000160014dbc67065ff340e44956471a4b85a6b636c223a0602473044022054b3d785c62432f341bba6e14a818c97ab32e8d24414d0aafa9a8a1a2d86b8f802200e4122267fbe68021295b5764eb651e40fff562758cfbba0675eccdb8265ce49012102312e22e2bb3591647b4b97ea6f98dd16b216bb3ad473759282a3de33605106fc56f60000
b'{\n  "txid": "cf2d115be7eb6f3a7ce98702d01cc4e6bf5a79c45a5796d1a2adb1c988c0511d",\n  "hash": "b2b884e70fdc2fdf8d7062df78a63ffc4549cfe8ee32ebd913631048136d143a",\n  "version": 2,\n  "size": 222,\n  "vsize": 141,\n  "weight": 561,\n  "locktime": 63062,\n  "vin": [\n    {\n      "txid": "fd2fcee5dd168cf2cbb8c2d64b0fa98956ec892e7ea4526f2e54891814fecd25",\n      "vout": 0,\n      "scriptSig": {\n        "asm": "",\n        "hex": ""\n      },\n      "txinwitness": [\n        "3044022054b3d785c62432f341bba6e14a818c97ab32e8d24414d0aafa9a8a1a2d86b8f802200e4122267fbe68021295b5764eb651e40fff562758cfbba0675eccdb8265ce4901",\n        "02312e22e2bb3591647b4b97ea6f98dd16b216bb3ad473759282a3de33605106fc"\n      ],\n      "sequence": 4294967294\n    }\n  ],\n  "vout": [\n    {\n      "value": 0.00049817,\n      "n": 0,\n      "scriptPubKey": {\n        "asm": "0 d52ce3b0be06f43f523df619ab816d6e1aebaf91",\n        "hex": "0014d52ce3b0be06f43f523df619ab816d6e1aebaf91",\n        "address": "tb1q65kw8v97qm6r753a7cv6hqtddcdwhtu360pjqd",\n        "type": "witness_v0_keyhash"\n      }\n    },\n    {\n      "value": 0.00050000,\n      "n": 1,\n      "scriptPubKey": {\n        "asm": "0 dbc67065ff340e44956471a4b85a6b636c223a06",\n        "hex": "0014dbc67065ff340e44956471a4b85a6b636c223a06",\n        "address": "tb1qm0r8qe0lxs8yf9tywxjtskntvdkzywsx2cacr2",\n        "type": "witness_v0_keyhash"\n      }\n    }\n  ]\n}\n'
b''

Voila! Valid TX!

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