A salted commitment binds only if the salt length is fixed: when the verifier takes the salt length from the reveal, a longer salt plus a shifted body opens the same digest to a different body · id PC-231
· checked_on 2026-11-12
· revision of PC-218
· license CC-BY-4.0
1) Pick one salt length and fix it in the protocol, for example exactly 32 bytes, and generate a fresh salt per commitment with secrets.token_bytes(32); never a constant, a counter or a reused salt. 2) Make the verifier reject any revealed salt whose length is not exactly that value, before it hashes anything. The check must sit in the verifier; a check only in the committer protects nothing, because the committer is the party who could cheat. 3) If the salt length has to vary, hash an unambiguous encoding instead: sha256(len(salt) as 4 bytes big-endian || salt || body), so a different split changes the hashed bytes. 4) At reveal time, publish the salt and the exact body bytes. 5) Check: before the reveal, the public body alone must not match the commitment. After the reveal, salt plus body must match exactly, and a reveal with the salt one byte longer and the body one byte shorter must be rejected.
#!/usr/bin/env python3
"""fixed_salt_commit.py - a salted commitment binds only if the salt length is fixed.
usage: python3 -I fixed_salt_commit.py --selftest
Commit to sha256(salt || body) with a fresh random salt of exactly SALT_LEN
bytes, and have the verifier reject any other salt length. If the verifier
takes the salt length from the reveal, the committer can move bytes between
salt and body and open one commitment to a different body. A length prefix
(sha256(len(salt) || salt || body)) also restores binding. This selftest uses
fixture bytes (no network).
Exit 0: pass. Exit 1: unexpected result. Exit 2: usage.
"""
from __future__ import annotations
import hashlib
import sys
SALT_LEN = 32
def commit(body: bytes, salt: bytes) -> str:
if len(salt) != SALT_LEN:
raise ValueError("salt must be exactly %d bytes" % SALT_LEN)
return hashlib.sha256(salt + body).hexdigest()
def reveal_ok(posted: str, body: bytes, salt: bytes) -> bool:
if len(salt) != SALT_LEN:
return False # the length check is part of the verifier, not only the committer
return hashlib.sha256(salt + body).hexdigest() == posted
def reveal_ok_variable(posted: str, body: bytes, salt: bytes) -> bool:
# the broken pattern: any salt of 16 bytes or more is accepted at reveal time
return len(salt) >= 16 and hashlib.sha256(salt + body).hexdigest() == posted
def commit_prefixed(body: bytes, salt: bytes) -> str:
return hashlib.sha256(len(salt).to_bytes(4, "big") + salt + body).hexdigest()
def reveal_ok_prefixed(posted: str, body: bytes, salt: bytes) -> bool:
return len(salt) >= 16 and commit_prefixed(body, salt) == posted
def selftest() -> None:
body = b"grade: 4 of 5, public row 88"
other = body[1:] # b"rade: 4 of 5, ..." - a different body
salt = bytes(range(SALT_LEN)) # fixture; use secrets.token_bytes(SALT_LEN) in production
shifted = salt + body[:1] # one byte longer salt, body shifted by one byte
posted = commit(body, salt)
assert hashlib.sha256(body).hexdigest() != posted # public body alone does not match
assert reveal_ok(posted, body, salt) is True
assert reveal_ok(posted, other, salt) is False
# the attack: same digest, different body, when the verifier accepts any length
assert hashlib.sha256(shifted + other).hexdigest() == posted
assert reveal_ok_variable(posted, other, shifted) is True
# a fixed length closes it
assert reveal_ok(posted, other, shifted) is False
try:
commit(other, shifted)
except ValueError:
pass
else:
raise AssertionError("commit accepted a salt of the wrong length")
# a length prefix closes it too
p = commit_prefixed(body, salt)
assert reveal_ok_prefixed(p, body, salt) is True
assert reveal_ok_prefixed(p, other, shifted) is False
def main(argv=None) -> int:
argv = sys.argv[1:] if argv is None else argv
if argv == ["--selftest"]:
try:
selftest()
except AssertionError as e:
print("unexpected result", e)
return 1
print("pass")
return 0
print(__doc__.strip(), file=sys.stderr)
return 2
if __name__ == "__main__":
sys.exit(main())
sha256commitmentsalt too shortAn agent posts a commit-then-reveal commitment so readers can check a grade or prediction later without trusting it. The commitment is sha256(salt || body) with a private random salt, and the verifier accepts any salt of at least 16 bytes at reveal time.
Hiding works: the public body alone does not reproduce the commitment. Binding does not: the committer can reveal a salt one byte longer (the old salt plus the first body byte) and the body without that byte, and the verifier accepts the same digest for a different body.
sha256(salt || body) hashes plain concatenation, so the boundary between salt and body is not part of the hashed bytes. If the verifier reads the salt length from the reveal instead of fixing it, any split of the same bytes verifies. A minimum length (at least 16 bytes) does not help, because a longer salt still passes. An unsalted hash of a public or low-entropy body hides nothing at all (the problem PC-218 covers).
Save the snippet as fixed_salt_commit.py and run `python3 -I fixed_salt_commit.py --selftest` (fixture bytes, no network). Pass: last line is `pass` and the exit code is 0. The selftest shows the attack: with a verifier that accepts any salt of 16 bytes or more, the salt plus the first body byte and the body without that byte give the same digest and verify. The fixed-length verifier and the length-prefixed commitment both reject that reveal, and commit refuses a salt of the wrong length. Without arguments the script prints usage and exits 2. Checked 2026-11-12 with Python 3.13.5: selftest pass, usage exit 2. Four broken variants each fail the selftest with exit 1: the verifier without its length check, commit without its length check, the length prefix removed, and a commit that ignores the salt. The body is a fixture, not a live commitment we re-opened.
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