add hash chain ref

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David Eisinger
2024-03-06 23:43:40 -05:00
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data Blog = Blog { me :: Programmer, posts :: [Opinion] }
[1]Posts [2]RSS
How Blockchains Work
Chances are, you know what Bitcoin is. After all, its valued at over $47,000
per Bitcoin right now. This post isnt about the business side of things,
though, or the BTC speculative bubble. I want to explain how it works.^[3]1
Foundations: Hashes and Ledgers
First, a hash algorithm is a way to convert a given string into an
unpredictable string of a fixed length, called a digest.
A diagram illustrating that a hash algorithm produces a digest from a string.
Heres a small Python program to demonstrate:
#!/usr/bin/env python3
from argparse import ArgumentParser
from hashlib import md5
def hash_string(string):
hash = md5()
hash.update(string.encode("utf-8"))
return hash.hexdigest()
if __name__ == "__main__":
parser = ArgumentParser()
parser.add_argument("STRING", help="The string to be hashed")
args = parser.parse_args()
print(hash_string(args.STRING))
Running this with different string arguments will give you digests of the
arguments:
$ ./hash ninja
3899dcbab79f92af727c2190bbd8abc5
$ ./hash samurai
99b1983cf3ee09bbaf6f43ac7b4c8748
Hashes of this type are used to check passwords—you can check whether a
password matches without storing the password itself.^[4]2
Blockchains are a kind of ledger: they have entries added to them over time.
Hashes can help with that by protecting the ordering and contents of messages.
A diagram illustrating that blockchains capture the previous digest and the
current message to produce a digest.
Heres a brief implementation:
def hash_ledger_entry(string, previous_digest=None):
"""Hashes a string with the hash of previous entries in the ledger, if any."""
hash = md5(string.encode("utf-8"))
if previous_digest:
hash.update(previous_digest.encode("utf-8"))
return hash.hexdigest()
def generate_ledger(*strings):
"""Generates the entries in a ledger consisting of a set of strings."""
digest = None
for string in strings:
digest = hash_ledger_entry(string, digest)
yield digest, string
if __name__ == "__main__":
parser = ArgumentParser()
parser.add_argument("STRINGS", help="The ledger entries", nargs="+")
args = parser.parse_args()
for digest, string in generate_ledger(*args.STRINGS):
print(f"{digest}\t{string}")
With this script, providing a set of strings will generate a unique and ordered
ledger:
$ ./hash ninja samurai
3899dcbab79f92af727c2190bbd8abc5 ninja
6bf8d2cadde40af53d7f0fef95d4ec2c samurai
These hash ledgers are tamper-resistant because the digests of later entries
depend on the earlier entries. Modifying or adding entries will change the
digest of later entries.
$ ./hash ninja pirate samurai
3899dcbab79f92af727c2190bbd8abc5 ninja
7ec21dcf528e12036b04774754ecc4e0 pirate
636730d86709d03fed9ba64f84fc9be6 samurai
We can also add a known ending entry to the ledger to protect the last entry
from tampering:
$ ./hash ninja pirate samurai
3899dcbab79f92af727c2190bbd8abc5 ninja
7ec21dcf528e12036b04774754ecc4e0 pirate
636730d86709d03fed9ba64f84fc9be6 samurai
b233d566fe677d394aafb5eaf149e453 END
Validation
To validate a ledger, you can replay the transactions and make sure that you
get the same hashes at each step:
our_digest = None
for line in fileinput.input():
file_digest, word = line.strip().split("\t")
our_digest = hash_ledger_entry(word, our_digest)
if our_digest != file_digest:
sys.exit(f"The digest for {word} does not match.")
print("All entries match.")
With a tamper-resistant ledger where each entry depends on the previous
entries, weve effectively implemented a very simple blockchain. This is not
the same as the blockchain, though; for that we need…
Proofs without Authority
The novelty of Bitcoin is that it is a distributed system with no owner. This
is what enthusiasts mean when they say that the blockchain is trustless:
instead of central authority, like a bank, many “miners” compete to
successfully write a new message to the blockchain. They do this by means of a
proof-of-work algorithm, which we can implement in our ledger as well.
# Add this to your imports.
from secrets import token_bytes
def hash_ledger_entry_with_salt(salt, string, previous_digest=None):
"""Hashes a string with the hash of previous entries in the ledger, if any."""
hash = md5(string.encode("utf-8"))
hash.update(salt)
if previous_digest:
hash.update(previous_digest.encode("utf-8"))
return hash.hexdigest()
def generate_ledger(difficulty, *strings):
# Difficulty determines how many zeroes we require at the beginning of a digest.
prefix = "0" * difficulty
digest = None
previous_digest = None
for string in strings:
# We re-hash a string over and over, with random salts, until it matches the
# prefix determined by our difficulty.
while digest is None or not digest.startswith(prefix):
salt = token_bytes(16)
digest = hash_ledger_entry_with_salt(salt, string, previous_digest)
# We yield back the digest and entry, as before, but we need the salt, too.
# Without that, we can't replay the entries and verify them.
yield digest, salt.hex(), string
previous_digest = digest
digest = None
yield hash_ledger_entry_with_salt(salt, "END", previous_digest), salt, "END"
if __name__ == "__main__":
parser = ArgumentParser()
parser.add_argument(
"DIFFICULTY", help="The difficulty of confirming a ledger entry.", type=int
)
parser.add_argument("STRINGS", help="The ledger entries", nargs="+")
args = parser.parse_args()
for digest, salt, string in generate_ledger(args.DIFFICULTY, *args.STRINGS):
print(f"{digest}\t{salt}\t{string}")
The new utility accepts an additional argument, difficulty, and tries to
generate a salt value that generates a hash which matches the expected number
of zeroes:
$ ./hash 5 ninja pirate samurai
00000ad72553509e6c197e45ab7fa436 af0dce7ac4c87c2b9d9eafb6561c09f4 ninja
000000f556426cfa894ba2ce57383b1d b9d51e0e8ea977ba004e7c30be757144 pirate
000006373b2b336d6dac403a5fa90a73 dd9c6ad89f5014a0901bcb142e04e28b samurai
fa35b5a39bc0318015620684d60a27f0 dd9c6ad89f5014a0901bcb142e04e28b END
The “mining” process can require a lot of calculations. The example required,
on average, around 2.5 million attempts. Thats why Bitcoin mining consumes [5]
more electricity than many countries: on the “real” blockchain, miners are
calculating and recalculating quadrillions of hashes per bitcoin mined.
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
1. If you want to read about the bubble, I recommend [6]David Gerard. [7]↩︎
2. Note that md5 should not be used for this purpose in real applications. I
chose it here for the brevity of its digests, but it isnt secure. [8]↩︎
References:
[1] https://asthasr.github.io/
[2] https://asthasr.github.io/index.xml
[3] https://asthasr.github.io/posts/how-blockchains-work/#fn:1
[4] https://asthasr.github.io/posts/how-blockchains-work/#fn:2
[5] https://www.bbc.com/news/technology-56012952
[6] https://davidgerard.co.uk/blockchain/
[7] https://asthasr.github.io/posts/how-blockchains-work/#fnref:1
[8] https://asthasr.github.io/posts/how-blockchains-work/#fnref:2