/p/moul/x/merkle/v0
merkle
Merkle inclusion proofs on gno.land, built on the native crypto/merkle stdlib.
That stdlib landed with the IBC crypto batch (gnolang/gno#5725) and is live on mainnet.
Before this package it had zero callers anywhere: not in gnolang/gno's examples/,
not here. Meanwhile the only userland Merkle tree in the ecosystem, p/demo/merkle, is
quarantined and not deployed on any chain.
The scheme
The Tendermint simple tree, byte for byte the one tm2 uses for block headers. Proofs
produced here verify against any Tendermint tooling and vice versa. The tests pin golden
roots and sibling lists generated by tm2's own merkle.SimpleProofsFromByteSlices, so a
divergence fails CI rather than shipping.
Two properties, neither optional:
Domain separation. A leaf is SHA256(0x00 || leaf), an inner node is
SHA256(0x01 || left || right). Without those tags an inner node hash is also a valid leaf
hash, so anyone able to choose a 64-byte leaf preimage can prove membership of a leaf that
was never in the tree. TestSecondPreimageForgery performs exactly that attack against the
commutative scheme and then shows the tagged scheme refuse it.
Index binding. A proof carries its leaf index and the total leaf count, and the verifier
rebuilds the tree shape from them. A proof for index i cannot be replayed at index j, and
a proof of the wrong length is rejected rather than folded.
The tree is not padded to a power of two. Following Tendermint, an n-leaf tree splits
at the largest power of two below n, so the shape is a function of n alone. Duplicating
or promoting an odd trailing leaf, as Bitcoin and merkletreejs do, lets two different leaf
sets produce one root.
Usage
1import "gno.land/p/moul/x/merkle/v0"
2
3tree := merkle.New([][]byte{[]byte("alice:100"), []byte("bob:250"), []byte("carol:500")})
4root := tree.RootHex() // commit this
5p, _ := tree.Proof(1) // hand p.Index, p.Total, p.Hex() to the user
6
7// later, in a realm, against a root it already committed to:
8p, err := merkle.ParseProof(index, total, hexSiblings)
9if err == nil && p.Verify(committedRoot, []byte("bob:250")) {
10 // bob really is in the committed set, at position 1
11}
Verification is a single native call. Measured at depth 20 it costs roughly a seventh of
the equivalent hand-rolled fold in Gno, and a third of calling InnerHash twenty times,
because per-native-call overhead dominates. (Gas figures are directional: the calibration
table in native_gas.go fits the crypto/merkle rows on a different CPU from the
crypto/sha256 rows.)
Verify refuses proofs deeper than MaxDepth (64). An unbounded sibling list is a loop
whose length an untrusted caller picks.
VerifySorted: interop only
VerifySorted folds the commutative sorted-pair scheme that OpenZeppelin's MerkleProof
and merkletreejs produce, for verifying trees built by existing Solidity tooling. It is
strictly weaker: no domain separation, no index binding. Pass an already-hashed leaf, and
double-hash it if the producer does. Prefer Proof.Verify for anything new.
What this package cannot do
It verifies a leaf against a root you supply. A realm has no access to the block header
or the app hash (chain/runtime exposes only ChainID, ChainDomain, ChainHeight and
GetSessionInfo), so no realm can check that a root is the chain's own. Anything built on
this is trust-minimised relative to a committed root, never trustless.
Worse, and less obvious: gno.land cannot prove its own realm state to anyone. Realm
objects live in a store that is explicitly not merkleized. See
r/moul/x/provable/v0 for the full picture.
Gno gotcha found while building this
A native function returning Go nil for a []byte hands gno back a non-nil, zero-length
slice. merkle.HashFromByteSlices(malformed) == nil is therefore always false. Test
len(x) == 0, never x == nil, on anything that crossed the native boundary.
Related
- Append-only log with O(log n) state:
p/moul/x/mmr/v0 - Live demo:
r/moul/x/provable/v0
Part of moul/gno-contracts — moul's versioned gno.land contracts. See the repository for the full catalog, build/test tooling, and usage.
🧪 Highly experimental — potentially vibe-coded. Not audited; may break, change, or be removed at any time. Do not use with anything of value. Full disclaimer: DISCLAIMER.