Reaching the tip needed two historical facts encoded, and the second one was not in the original hypothesis. First, the disarmed window: 36 anchor heights (13,267,824 to 13,268,944) whose blocks carry an attached certificate but no digest, and whose signer indices are not strictly increasing, produced while anchoring was disarmed fleet-wide to unblock the chain after an incident. Encoded as a named list of historical windows with fixed bounds in code, after the precedent of the base-fee lapse windows: inside, the header is accepted as written; outside, nothing changes. Second, the recovery, found by measuring rather than guessing. After the emergency re-arm the fleet ran for a stretch with a lowered seal threshold, so proposers legitimately wrote shorter certificates. Its extent was measured by reading 25,252 anchor heights one at a time, with NO binary search, because the property is not monotone: only about 15 percent of heights are affected and the largest gap between two affected heights is 44, so a binary search would have returned an answer that looks exactly like a good one. Result: 13,268,976 to 13,890,544, thresholds measured at 1 or 2, never 0. The second window relaxes the seal COUNT only. Digest binding and index ordering stay enforced and every seal is still verified. Widening the disarmed window to cover both would have been easier and would have thrown away certificate binding on 19,425 anchor heights, which is the one property the anchor exists for. Negative control in four directions, because an exception can fail both ways: the window predicate forced always-false turns 10 tests red; forced always-true turns 39 red, of which 22 are pre-existing strictness tests, making the exception swallowing the chain visible; the historical threshold emptied turns 7 red; pinned at 1 turns 8 red. Restored: 641 tests, 0 failures, counted from XML. Patch verified on a pristine upstream checkout, alone and in series, and the resulting tree compiles. |
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|---|---|---|
| .. | ||
| app/src | ||
| config/src/main/java/org/hyperledger/besu/config | ||
| consensus | ||
| ethereum/eth/src/main/java/org/hyperledger/besu/ethereum/eth/sync | ||
| BASE.txt | ||
| README.md | ||
Post-quantum certificate anchor for QBFT
This is the code that puts a post-quantum validator certificate under the block hash in Hyperledger Besu's QBFT consensus, as an overlay on a named upstream commit.
It is published so that the claim can be checked rather than believed. Everything below that is not demonstrable from these files is marked as not demonstrable from these files.
Scope boundary, stated first and not in a footnote
Consensus on Aere Network chain 2800 is classical secp256k1 ECDSA QBFT. Block proposal, validator identity and the QBFT vote messages are all classical elliptic-curve cryptography. A cryptographically relevant quantum computer would break them exactly as it would break any other ECDSA chain.
What this code adds is narrower and is the whole point: the block hash commits to a Falcon certificate signed by the validators. That is a binding, not a replacement. It does not make consensus post-quantum and is never described as such.
The threat it addresses is not "harvest now, decrypt later". A signature is public; there is nothing to harvest. The threat is retroactive rewriting: validator keys recovered later can be used to re-sign old blocks, and a chain whose history is authenticated only by ECDSA cannot distinguish the rewrite from the original. Binding a post-quantum certificate into the hash of every anchored header means a rewrite must also forge the post-quantum signatures.
The threat is not ours to claim. It is the long-range attack, and the peer-reviewed treatment is Azouvi, Danezis and Nikolaenko, "Winkle: Foiling Long-Range Attacks in Proof-of-Stake Systems" (IACR 2019/1440; AFT 2020, pp. 189-201). Two things should be said plainly about that citation, because we checked it rather than repeated it. Winkle does not mention quantum adversaries at all: it treats old validator keys becoming compromised, by any means. The quantum framing is ours. And Winkle's own defence is not ours: it adds a secondary layer of client-based validation, where clients sign a hash of the previously sequenced block. A second published defence for the same threat, Azouvi and Vukolic, "Pikachu: Securing PoS Blockchains from Long-Range Attacks by Checkpointing into Bitcoin PoW using Taproot" (arXiv 2208.05408, 2022), checkpoints into Bitcoin's proof of work.
Where this sits among the known defences
The literature calls this attack posterior corruption, also known as the founders' attack, the long-range attack, history revision, or costless simulation. Tas, Tse, Gai, Kannan, Maddah-Ali and Yu survey the mitigations in "Bitcoin-Enhanced Proof-of-Stake Security: Possibilities and Impossibilities" (arXiv 2207.08392) and count four: social consensus by a trusted committee; key-evolving signatures, where validators forget their old keys; verifiable delay functions; and timestamping onto an existing proof-of-work chain.
That paper also proves an impossibility, and it deserves to be stated correctly rather than paraphrased into something scarier or softer than it is. Slashable safety, meaning safety plus the ability to punish the attacker, is not achievable by a proof-of-stake chain without an external trusted source. Plain safety against posterior corruption is a weaker property, and key-evolving signatures are shown to provide it under an honest majority. So the impossibility is not "you cannot defend yourself"; it is "you cannot make the attacker pay, on your own."
This anchor does not claim slashable safety and does not compete with checkpointing on that ground. What it addresses is the case where key-evolving signatures stop working. Their guarantee rests on a validator's old key being gone once deleted. Against an adversary with a cryptographically relevant quantum computer, an old secp256k1 key does not need to have been kept or stolen. QBFT headers carry validator addresses rather than public keys, but every seal a validator ever wrote is an ECDSA signature from which its public key can be recovered, and those seals are in the chain forever. From the public key, a quantum adversary derives the private one. Deleting the private key buys nothing, because the chain reconstructs it. The certificate under the block hash is what still has to be forged, and forging it requires a secret the adversary cannot derive.
Put plainly: this is the post-quantum analogue of what key-evolving signatures give classically, for the setting in which their central assumption no longer holds. It is narrower than checkpointing and it borrows nothing from another chain, and both of those are true at the same time.
The problem this solves, which is not obvious
In QBFT, extraData is an RLP list. The block hash is not computed over the stored bytes. It is
computed over a re-encoding of the decoded list, with the seal fields removed, so that every node
agrees on a hash before the seals exist.
That has a consequence that is easy to miss: anything the decoder does not know about is dropped before hashing. Append a certificate as a new element and it survives in storage, travels between nodes, and is entirely absent from the hash. Two nodes can hold different certificates for the same block and both consider it valid. The certificate would be decoration.
Four obvious designs were tried and all four died on that:
| Attempt | Why it died |
|---|---|
| new RLP element after the seals | dropped by the re-encode, never reaches keccak |
| extend the seal list | changes the seal encoding, so every existing node rejects the header |
a second extraData-like field |
not in the header schema; a header with it is not a header |
| commit in the state root | the state root is computed before the certificate exists |
The design that works uses a field that is already under keccak: vanityData, element 0 of the
list, 32 bytes, historically arbitrary. At an anchor height it carries the digest of the certificate
instead of the usual vanity string. The certificate itself still rides outside the hash, but it is
now pinned: change one byte of it and the digest no longer matches, and the header is rejected.
PqAnchor.java and PqAnchorDigestRule.java are where that lives. Read those two first.
What is in here
consensus/common/.../bft/— the anchor itself: configuration, the digest, the seal cache and store, the producer that attaches seals, the Falcon registry that maps a validator to a key.consensus/qbft/.../headervalidationrules/— the validation rules: the digest must match, the seals must verify, and the rules must actually be wired into the validator chain.app/.../controller/— where the rules are built and where the node refuses to start on a configuration that would produce headers its own fleet rejects.- tests — including the negative controls. A test that cannot fail is not a test, and several of these exist specifically to prove the guards can fail.
BASE.txt names the upstream commit. Applying these files to any other tree overwrites whatever
upstream added since, silently. That is stated there in more detail because it is a real hazard.
One build file changes, and it is one line. consensus/common/build.gradle gains
implementation 'org.bouncycastle:bcprov-jdk18on'. Falcon verification happens inside the consensus
module, so the module needs the library on its own compile path. No version is stated, because
upstream pins it: platform/build.gradle declares bcprov-jdk18on:1.83, and four upstream modules
already take the dependency in exactly this versionless form. So the line adds a compile-path entry
and no new artifact, and it does not move any version. That is the entire build change, and it is
called out here rather than left to be found in the diff.
No cryptography is implemented in this overlay. Falcon signature verification calls Bouncy Castle's implementation; what is ours is the framing, the registry that maps a validator to a key, the digest, and the validation rules.
What is proven, and by what
- The certificate is byte-identical across nodes. Measured on a test network, six nodes.
- A stripped certificate is rejected. 12 attempts, 12 rejections.
- The guards compile and pass together, and the negative control was run: with the guards removed the proofs go red. A guard that has never failed cannot be trusted, so each was made to fail on purpose.
- Arming does not halt the chain across a validator-set change. On a test network of ten processes, 1,110 blocks were produced across the arming height while four validator-set votes were driven through it, and the block rate did not change. The negative control for that run was separate and blunt: three nodes restarted without their Falcon key produced zero blocks in ninety seconds while every node was alive; with the keys restored, eighty-nine.
- The wiring is tested. An earlier version of this code registered a rule that could not be seen
from outside, because Besu's
BlockHeaderValidator.Builderwraps detached rules in a lambda. The rule was present and untested for that reason alone.QbftAnchorRuleWiringTestexists because of that, and its negative control is measured: comment out the registration line and it goes red.
What is not proven here
- This overlay has not been audited by a third party. No external security review of this code exists. If you are reading it as an auditor, you are the first.
- A rehearsal with a deliberately un-upgraded node has not been run. Every rehearsal so far upgraded every node.
- Nothing here demonstrates what is configured on any live network. These files show what the code does when armed. They are not evidence about any running fleet, and should not be read as any.
One claim we retracted, on purpose
An earlier version of our public material said that no public chain has a block hash covering a post-quantum validator certificate. That does not survive a hostile reading. Cellframe's ESBoCS signs blocks with keys that resolve to Dilithium, Falcon or SPHINCS+, and hashes the block with the signatures attached. The capability exists in their code today.
The defensible statement is narrower: no public chain has a post-quantum validator certificate under the block hash that is proven and independently verifiable. This repository is our half of that sentence. Someone else has to do the verifying, which is why it is here.
Terminology, used precisely
A certificate here is signed by f+1 validators, not by a quorum. With f Byzantine faults tolerated, f+1 signatures guarantee that at least one honest validator signed. That is a real property and it is not the same as a quorum, and we do not call it one. Anyone counting will notice, and they should.
The seal threshold is a floor, not a cap: nodes attach as many verified seals as arrive in time, which is at least the threshold and often more. A separate cap bounds how many are written, because each seal costs bytes in every header forever.
Licence
Apache 2.0, matching upstream Hyperledger Besu. See ../LICENSE and ../NOTICE. Files that modify
upstream carry the change notice required by section 4(b); files that are new are ours.