* Re: [bitcoindev] Post-Quantum commit / reveal Fawkescoin variant as a soft fork
2025-05-28 17:14 [bitcoindev] Post-Quantum commit / reveal Fawkescoin variant as a soft fork Tadge Dryja
@ 2025-05-28 18:20 ` Sergio Demian Lerner
2025-05-28 20:24 ` Nagaev Boris
1 sibling, 0 replies; 3+ messages in thread
From: Sergio Demian Lerner @ 2025-05-28 18:20 UTC (permalink / raw)
To: Tadge Dryja; +Cc: Bitcoin Development Mailing List
[-- Attachment #1: Type: text/plain, Size: 18237 bytes --]
Without in-depth reading of your e-mail, but related to Fawkescoin, you can
read Mave paper from 2012 , which addressed DoS problems that exist in
Fawkescoin.
https://bitslog.com/wp-content/uploads/2012/04/mave1.pdf
regards
On Wed, May 28, 2025 at 10:28 AM Tadge Dryja <rx@awsomnet•org> wrote:
> One of the tricky things about securing Bitcoin against quantum computers
> is: do you even need to? Maybe quantum computers that can break secp256k1
> keys will never exist, in which case we shouldn't waste our time. Or maybe
> they will exist, in not too many years, and we should spend the effort to
> secure the system against QCs.
>
> Since people disagree on how likely QCs are to arrive, and what the timing
> would be if they do, it's hard to get consensus on changes to bitcoin that
> disrupt the properties we use today. For example, a soft fork introducing
> a post-quantum (PQ) signature scheme and at the same time disallowing new
> secp256k1 based outputs would be great for strengthening Bitcoin against an
> oncoming QC. But it would be awful if a QC never appears, or takes decades
> to do so, since secp256k1 is really nice.
>
> So it would be nice to have a way to not deal with this issue until
> *after* the QC shows up. With commit / reveal schemes Bitcoin can keep
> working after a QC shows up, even if we haven't defined a PQ signature
> scheme and everyone's still got P2WPKH outputs.
>
> Most of this is similar to Tim Ruffing's proposal from a few years ago
> here:
>
> https://gnusha.org/pi/bitcoindev/1518710367.3550.111.camel@mmci.uni-saarland.de/
>
> The main difference is that this scheme doesn't use encryption, but a
> smaller hash-based commitment, and describes activation as a soft fork.
> I'll define the two types of attacks, a commitment scheme, and then say how
> it can be implemented in bitcoin nodes as a soft fork.
>
> This scheme only works for keys that are pubkey hashes (or script hashes)
> with pubkeys that are unknown to the network. It works with taproot as
> well, but there must be some script-path in the taproot key, as keypath
> spends would no longer be secure.
>
> What to do with all the keys that are known is another issue and
> independent of the scheme in this post (it's compatible with both burning
> them and leaving them to be stolen)
>
> For these schemes, we assume there is an attacker with a QC that can
> compute a quickly compute a private key from any secp256k1 public key. We
> also assume the attacker has some mining power or influence over miners for
> their attacks; maybe not reliably, but they can sometimes get a few blocks
> in a row with the transactions they want.
>
> "Pubkey" can also be substituted with "script" for P2SH and P2WSH output
> types and should work about the same way (with caveats about multisig).
> The equivalent for taproot outputs would be an inner key proving a script
> path.
>
> ## A simple scheme to show an attack
>
> The simplest commit/reveal scheme would be one where after activation, for
> any transaction with an EC signature in it, that transaction's txid must
> appear in a earlier transaction's OP_RETURN output.
>
> When a user wants to spend their coins, they first sign a transaction as
> they would normally, compute the txid, get that txid into an OP_RETURN
> output somehow (paying a miner out of band, etc), then after waiting a
> while, broadcast the transaction. Nodes would check that the txid matches
> a previously seen commitment, and allow the transaction.
>
> One problem with this scheme is that upon seeing the full transaction, the
> attacker can compute the user's private key, and create a new commitment
> with a different txid for a transaction where the attacker gets all the
> coins. If the attacker can get their commitment and spending transaction
> in before the user's transaction, they can steal the coins.
>
> In order to mitigate this problem, a minimum delay can be enforced by
> consensus. A minimum delay of 100 blocks would mean that the attacker
> would have to prevent the user's transaction from being confirmed for 100
> blocks after it showed up in the attacker's mempool. The tradeoff is that
> longer periods give better safety at the cost of more delay in spending.
>
> This scheme, while problematic, is better than nothing! But it's possible
> to remove this timing tradeoff.
>
>
> ## A slightly more complex scheme with (worse) problems
>
> If instead of just the txid, the commitment were both the outpoint being
> spent, and the txid that was going to spend it, we could add a "first seen"
> consensus rule. Only the first commitment pointing to an outpoint works.
>
> So if nodes see two OP_RETURN commitments in their sequence of confirmed
> transactions:
>
> C1 = outpoint1, txid1
> C2 = outpoint1, txid2
>
> They can ignore C2; C1 has already laid claim to outpoint1, and the
> transaction identified by txid1 is the only transaction that can spend
> outpoint1.
>
> If the user manages to get C1 confirmed first, this is great, and
> eliminates the timing problem in the txid only scheme. But this introduces
> a different problem, where an attacker -- in this case any attacker, even
> one without a QC -- who can observe C1 before it is confirmed can flip some
> bits in the txid field, freezing the outpoint forever.
>
> We want to retain the "first seen" rule, but we want to also be able to
> discard invalid commitments. In a bit flipping attack, we could say an
> invalid commitment is one where there is no transaction described by the
> txid. A more general way to classify a commitment as invalid is a
> commitment made without knowledge of the (secret) pubkey. Knowledge of the
> pubkey is what security of coins is now hinging on.
>
>
> The actual commitment scheme
>
>
> We define some hash function h(). We'll use SHA256 for the hashing, but
> it needs to be keyed with some tag, for example "Alas poor Koblitz curve,
> we knew it well".
>
> Thus h(pubkey) is not equal to the pubkey hash already used in the bitcoin
> output script, which instead is RIPEMD160(SHA256(pubkey)), or in bitcoin
> terms, HASH160(pubkey). Due to the hash functions being different, A =
> HASH160(pubkey) and B = h(pubkey) will be completely different, and nobody
> should be able to determine if A and B are hashes of the same pubkey
> without knowing pubkey itself.
>
> An efficient commitment is:
>
> C = h(pubkey), h(pubkey, txid), txid
> (to label things: C = AID, SDP, CTXID)
>
> This commitment includes 3 elements: a different hash of the pubkey which
> will be signed for, a proof of knowledge of the pubkey which commits to a
> transaction, and an the txid of the spending transaction. We'll call these
> "address ID" (AID), sequence dependent proof (SDP), and the commitment txid
> (CTXID).
>
> For those familiar with the proposal by Ruffing, the SDP has a similar
> function to the authenticated encryption part of the encrypted commitment.
> Instead of using authenticated encryption, we can instead just use an
> HMAC-style authentication alone, since the other data, the CTXID, is
> provided.
>
> When the user's wallet creates a transaction, they can feed that
> transaction into a commitment generator function which takes in a
> transaction, extracts the pubkey from the tx, computes the 3 hashes, and
> returns the 3-hash commitment. Once this commitment is confirmed, the user
> broadcasts the transaction.
>
> Nodes verify the commitment by using the same commitment generator
> function and checking if it matches the first valid commitment for that
> AID, in which case the tx is confirmed.
>
> If a node sees multiple commitments all claiming the same AID, it must
> store all of them. Once the AID's pubkey is known, the node can
> distinguish which commitments are valid, which are invalid, and which is
> the first seen valid commitment. Given the pubkey, nodes can determine
> commitments to be invalid by checking if SDP = h(pubkey, CTXID).
>
> As an example, consider a sequence of 3 commitments:
>
> C1 = h(pubkey), h(pubkey', txid1), txid1
> C2 = h(pubkey), h(pubkey, txid2), txid2
> C3 = h(pubkey), h(pubkey, txid3), txid3
>
> The user first creates tx2 and tries to commit C2. But an attacker
> creates C1, committing to a different txid where they control the outputs,
> and confirms it first. This attacker may know the outpoint being spent,
> and may be able to create a transaction and txid that could work. But they
> don't know the pubkey, so while they can copy the AID hash, they have to
> make something up for the SDP.
>
> The user gets C2 confirmed after C1. They then reveal tx2 in the mempool,
> but before it can be confirmed, the attacker gets C3 confirmed. C3 is a
> valid commitment made with knowledge of the pubkey.
>
> Nodes can reject transactions tx1 and tx3. For tx1, they will see that
> the SDP doesn't match the data in the transaction, so it's an invalid
> commitment. For tx3, they will see that it is valid, but by seeing tx3
> they will also be able to determine that C2 is a valid commitment (since
> pubkey is revealed in tx3) which came prior to C3, making C2 the only valid
> commitment for that AID.
>
>
> ## Implementation
>
> Nodes would keep a new key/value store, similar to the existing UTXO set.
> The indexing key would be the AID, and the value would be the set of all
> (SDP, CTXID) pairs seen alongside that AID. Every time an commitment is
> seen in an OP_RETURN, nodes store the commitment.
>
> When a transaction is seen, nodes observe the pubkey used in the
> transaction, and look up if it matches an AID they have stored. If not,
> the transaction is dropped. If the AID does match, the node can now "clean
> out" an AID entry, eliminating all but the first valid commitment, and
> marking that AID as final. If the txid seen matches the remaining
> commitment, the transaction is valid; if not, the transaction is dropped.
>
> After the transaction is confirmed the AID entry can be deleted. Deleting
> the entries frees up space, and would allow another round to happen with
> the same pubkey, which would lead to theft. Retaining the entries takes up
> more space on nodes that can't be pruned, and causes pubkey reuse to
> destroy coins rather than allow them to be stolen. That's a tradeoff, and
> I personally guess it's probably not worth retaining that data but don't
> have a strong opinion either way.
>
> Short commitments:
>
> Since we're not trying to defend against collision attacks, I think all 3
> hashes can be truncated to 16 bytes. The whole commitment could be 48
> bytes long. Without truncation the commitments would be 96 bytes.
>
>
> ## Activation
>
> The activation for the commit/reveal requirement can be triggered by a
> proof of quantum computer (PoQC).
>
> A transaction which successfully spends an output using tapscript:
>
> OP_SHA256 OP_CHECKSIG
>
> is a PoQC in the form of a valid bitcoin transaction. In order to satisfy
> this script, the spending transaction needs to provide 2 data elements: a
> signature, and some data that when hashed results in a pubkey for which
> that signature is valid. If such a pair of data elements exists, it means
> that either SHA256 preimage resistance is broken (which we're assuming
> isn't the case) or someone can create valid signatures for arbitrary
> elliptic curve points, ie a cryptographically relevant quantum computer (or
> any other process which breaks the security of secp256k1 signatures)
>
> Once such a PoQC has been observed in a confirmed transaction, the
> requirements for the 3-hash commitment scheme can be enforced. This is a
> soft fork since the transactions themselves look the same, the only
> requirement is that some OP_RETURN outputs show up earlier. Nodes which
> are not aware of the commitment requirement will still accept all
> transactions with the new rules.
>
> Wallets not aware of the new rules, however, are very dangerous, as they
> may try to broadcast signed transactions without any commitment. Nodes
> that see such a transaction should drop the tx, and if possible tell the
> wallet that they are doing something which is now very dangerous! On the
> open p2p network this is not really enforceable, but people submitting
> transactions to their own node (eg via RPC) can at least get a scary error
> message.
>
>
> ## Issues
>
> My hope is that this scheme would give some peace of mind to people
> holding bitcoin, that in the face of a sudden QC, even with minimal
> preparation their coins can be safe at rest and safely moved. It also
> suggests some best practices for users and wallets to adopt, before any
> software changes: Don't reuse addresses, and if you have taproot outputs,
> include some kind of script path in the outer key.
>
> There are still a number of problems, though!
>
> - Reorgs can steal coins. An attacker that observes a pubkey and can
> reorg back to before the commitment can compute the private key, sign a new
> transaction and get their commitment in first on the new chain. This seems
> unavoidable with commit/reveal schemes, and it's up to the user how long
> they wait between confirming the commitment and revealing the transaction.
>
> - How to get op_returns in
> If there are no PQ signature schemes activated in bitcoin when this
> activates, there's only one type of transaction that can reliably get the
> OP_RETURN outputs confirmed: coinbase transactions. Getting commitments to
> the miners and paying them out of band is not great, but is possible and we
> see this kind of activity today. Users wouldn't need to directly contact
> miners: anyone could aggregate commitments, create a large transaction with
> many OP_RETURN outputs, and then get a miner to commit to that parent
> transaction. Users don't need to worry about committing twice as identical
> commitments would be a no op.
>
> - Spam
> Anyone can make lots of OP_RETURN commitments which are just random
> numbers, forcing nodes to store these commitments in a database. That's
> not great, but isn't much different from how bitcoin works today. If it's
> really a problem, nodes could requiring the commitment outputs to have a
> non-0 amount of bitcoin, imposing a higher cost for the commitments than
> other OP_RETURN outputs.
>
> - Multiple inputs
> If users have received more than one UTXO to the same address, they will
> need to spend all the UTXOs at once. The commitment scheme can deal with
> only the first pubkey seen in the serialized transaction.
>
> - Multisig and Lightning Network
> If your multisig counterparties have a QC, multisig outputs become 1 of
> N. Possibly a more complex commit / reveal scheme could deal with multiple
> keys, but the keys would all have to be hashed with counterparties not
> knowing each others' unhashed pubkeys. This isn't how existing multisig
> outputs work, and in fact the current trend is the opposite with things
> like Musig2, FROST and ROAST. If we're going to need to make new signing
> software and new output types it might make more sense to go for a PQ
> signature scheme.
>
> - Making more p2wpkhs
> You don't have to send to a PQ address type with these transactions -- you
> can send to p2wpkh and do the whole commit/reveal process again when you
> want to spend. This could be helpful if PQ signature schemes are still
> being worked on, or if the PQ schemes are more costly to verify and have
> high fees in comparison to the old p2wpkh output types. It's possible that
> in such a scenario a few high-cost PQ transactions commit to many smaller
> EC transactions. If this actually gets adoption though, we might as well
> drop the EC signatures and just make output scripts into raw hash /
> preimage pairs. It could make sense to cover some non-EC script types with
> the same 3-hash commitment requirement to enable this.
>
> ## Conclusion
>
> This PQ commit / reveal scheme has similar properties to Tim Ruffing's,
> with a smaller commitment that can be done as a soft fork. I hope
> something like this could be soft forked with a PoQC activation trigger, so
> that if a QC never shows up, none of this code gets executed. And people
> who take a couple easy steps like not reusing addresses (which they should
> anyway for privacy reasons) don't have to worry about their coins.
>
> Some of these ideas may have been posted before; I know of the Fawkscoin
> paper (https://jbonneau.com/doc/BM14-SPW-fawkescoin.pdf) and the recent
> discussion which linked to Ruffing's proposal. Here I've tried to show how
> it could be done in a soft fork which doesn't look too bad to implement.
>
> I've also heard of some more complex schemes involving zero knowledge
> proofs, proving things like BIP32 derivations, but I think this gives some
> pretty good properties without needing anything other than good old SHA256.
>
> Hope this is useful & wonder if people think something like this would be
> a good idea.
>
> -Tadge
>
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^ permalink raw reply [flat|nested] 3+ messages in thread
* Re: [bitcoindev] Post-Quantum commit / reveal Fawkescoin variant as a soft fork
2025-05-28 17:14 [bitcoindev] Post-Quantum commit / reveal Fawkescoin variant as a soft fork Tadge Dryja
2025-05-28 18:20 ` Sergio Demian Lerner
@ 2025-05-28 20:24 ` Nagaev Boris
1 sibling, 0 replies; 3+ messages in thread
From: Nagaev Boris @ 2025-05-28 20:24 UTC (permalink / raw)
To: Tadge Dryja; +Cc: Bitcoin Development Mailing List
Hi Tadge,
Thanks for writing this up! The proposal is very thoughtful, and it's
great to see concrete work on post-quantum commit/reveal schemes.
I've been exploring a related approach based on a similar
commit/reveal idea. In my scheme, a user creates a QR output that
commits to a hash of a pubkey inside a Taproot leaf. This commitment
is hidden until revealed at spend time. Later, when the user wants to
spend a legacy EC output, they must spend this QR output in the same
transaction, and it must be at least X blocks old.
https://groups.google.com/g/bitcoindev/c/jr1QO95k6Uc/m/lsRHgIq_AAAJ
This approach has a few potential advantages:
1. No need for nodes to track a new commitment store
Because the commitment remains hidden in a Tapleaf until the spend,
observers (including attackers) don't see it, and nodes don't need to
store or validate any external commitment set. The only requirement is
that the QR output must be old enough, and Bitcoin Core already tracks
coin age, which is needed to validate existing consensus rules.
2. Commitment can be made before the transaction is known
Since the commitment doesn't include a txid, the user can precommit to
the pubkey hash far in advance, before knowing the details of the
eventual transaction. This allows greater flexibility: you can delay
choosing outputs, fee rates, etc., until spend time. Only knowledge of
the EC pubkey needs to be proven when creating the QR output.
3. More efficient use of block space
Multiple EC coins can be spent together with a single QR output,
holding EC pubkey commitments in Taproot leaves. If EC coins share the
same EC pubkey (e.g., come from the same address), they can reuse the
same commitment.
Would love to hear your thoughts on this variant. I think this one
might be a simpler, lower-overhead option for protecting EC outputs
post-QC.
Best,
Boris
On Wed, May 28, 2025 at 2:28 PM Tadge Dryja <rx@awsomnet•org> wrote:
>
> One of the tricky things about securing Bitcoin against quantum computers is: do you even need to? Maybe quantum computers that can break secp256k1 keys will never exist, in which case we shouldn't waste our time. Or maybe they will exist, in not too many years, and we should spend the effort to secure the system against QCs.
>
> Since people disagree on how likely QCs are to arrive, and what the timing would be if they do, it's hard to get consensus on changes to bitcoin that disrupt the properties we use today. For example, a soft fork introducing a post-quantum (PQ) signature scheme and at the same time disallowing new secp256k1 based outputs would be great for strengthening Bitcoin against an oncoming QC. But it would be awful if a QC never appears, or takes decades to do so, since secp256k1 is really nice.
>
> So it would be nice to have a way to not deal with this issue until *after* the QC shows up. With commit / reveal schemes Bitcoin can keep working after a QC shows up, even if we haven't defined a PQ signature scheme and everyone's still got P2WPKH outputs.
>
> Most of this is similar to Tim Ruffing's proposal from a few years ago here:
> https://gnusha.org/pi/bitcoindev/1518710367.3550.111.camel@mmci.uni-saarland.de/
>
> The main difference is that this scheme doesn't use encryption, but a smaller hash-based commitment, and describes activation as a soft fork. I'll define the two types of attacks, a commitment scheme, and then say how it can be implemented in bitcoin nodes as a soft fork.
>
> This scheme only works for keys that are pubkey hashes (or script hashes) with pubkeys that are unknown to the network. It works with taproot as well, but there must be some script-path in the taproot key, as keypath spends would no longer be secure.
>
> What to do with all the keys that are known is another issue and independent of the scheme in this post (it's compatible with both burning them and leaving them to be stolen)
>
> For these schemes, we assume there is an attacker with a QC that can compute a quickly compute a private key from any secp256k1 public key. We also assume the attacker has some mining power or influence over miners for their attacks; maybe not reliably, but they can sometimes get a few blocks in a row with the transactions they want.
>
> "Pubkey" can also be substituted with "script" for P2SH and P2WSH output types and should work about the same way (with caveats about multisig). The equivalent for taproot outputs would be an inner key proving a script path.
>
> ## A simple scheme to show an attack
>
> The simplest commit/reveal scheme would be one where after activation, for any transaction with an EC signature in it, that transaction's txid must appear in a earlier transaction's OP_RETURN output.
>
> When a user wants to spend their coins, they first sign a transaction as they would normally, compute the txid, get that txid into an OP_RETURN output somehow (paying a miner out of band, etc), then after waiting a while, broadcast the transaction. Nodes would check that the txid matches a previously seen commitment, and allow the transaction.
>
> One problem with this scheme is that upon seeing the full transaction, the attacker can compute the user's private key, and create a new commitment with a different txid for a transaction where the attacker gets all the coins. If the attacker can get their commitment and spending transaction in before the user's transaction, they can steal the coins.
>
> In order to mitigate this problem, a minimum delay can be enforced by consensus. A minimum delay of 100 blocks would mean that the attacker would have to prevent the user's transaction from being confirmed for 100 blocks after it showed up in the attacker's mempool. The tradeoff is that longer periods give better safety at the cost of more delay in spending.
>
> This scheme, while problematic, is better than nothing! But it's possible to remove this timing tradeoff.
>
>
> ## A slightly more complex scheme with (worse) problems
>
> If instead of just the txid, the commitment were both the outpoint being spent, and the txid that was going to spend it, we could add a "first seen" consensus rule. Only the first commitment pointing to an outpoint works.
>
> So if nodes see two OP_RETURN commitments in their sequence of confirmed transactions:
>
> C1 = outpoint1, txid1
> C2 = outpoint1, txid2
>
> They can ignore C2; C1 has already laid claim to outpoint1, and the transaction identified by txid1 is the only transaction that can spend outpoint1.
>
> If the user manages to get C1 confirmed first, this is great, and eliminates the timing problem in the txid only scheme. But this introduces a different problem, where an attacker -- in this case any attacker, even one without a QC -- who can observe C1 before it is confirmed can flip some bits in the txid field, freezing the outpoint forever.
>
> We want to retain the "first seen" rule, but we want to also be able to discard invalid commitments. In a bit flipping attack, we could say an invalid commitment is one where there is no transaction described by the txid. A more general way to classify a commitment as invalid is a commitment made without knowledge of the (secret) pubkey. Knowledge of the pubkey is what security of coins is now hinging on.
>
>
> The actual commitment scheme
>
>
> We define some hash function h(). We'll use SHA256 for the hashing, but it needs to be keyed with some tag, for example "Alas poor Koblitz curve, we knew it well".
>
> Thus h(pubkey) is not equal to the pubkey hash already used in the bitcoin output script, which instead is RIPEMD160(SHA256(pubkey)), or in bitcoin terms, HASH160(pubkey). Due to the hash functions being different, A = HASH160(pubkey) and B = h(pubkey) will be completely different, and nobody should be able to determine if A and B are hashes of the same pubkey without knowing pubkey itself.
>
> An efficient commitment is:
>
> C = h(pubkey), h(pubkey, txid), txid
> (to label things: C = AID, SDP, CTXID)
>
> This commitment includes 3 elements: a different hash of the pubkey which will be signed for, a proof of knowledge of the pubkey which commits to a transaction, and an the txid of the spending transaction. We'll call these "address ID" (AID), sequence dependent proof (SDP), and the commitment txid (CTXID).
>
> For those familiar with the proposal by Ruffing, the SDP has a similar function to the authenticated encryption part of the encrypted commitment. Instead of using authenticated encryption, we can instead just use an HMAC-style authentication alone, since the other data, the CTXID, is provided.
>
> When the user's wallet creates a transaction, they can feed that transaction into a commitment generator function which takes in a transaction, extracts the pubkey from the tx, computes the 3 hashes, and returns the 3-hash commitment. Once this commitment is confirmed, the user broadcasts the transaction.
>
> Nodes verify the commitment by using the same commitment generator function and checking if it matches the first valid commitment for that AID, in which case the tx is confirmed.
>
> If a node sees multiple commitments all claiming the same AID, it must store all of them. Once the AID's pubkey is known, the node can distinguish which commitments are valid, which are invalid, and which is the first seen valid commitment. Given the pubkey, nodes can determine commitments to be invalid by checking if SDP = h(pubkey, CTXID).
>
> As an example, consider a sequence of 3 commitments:
>
> C1 = h(pubkey), h(pubkey', txid1), txid1
> C2 = h(pubkey), h(pubkey, txid2), txid2
> C3 = h(pubkey), h(pubkey, txid3), txid3
>
> The user first creates tx2 and tries to commit C2. But an attacker creates C1, committing to a different txid where they control the outputs, and confirms it first. This attacker may know the outpoint being spent, and may be able to create a transaction and txid that could work. But they don't know the pubkey, so while they can copy the AID hash, they have to make something up for the SDP.
>
> The user gets C2 confirmed after C1. They then reveal tx2 in the mempool, but before it can be confirmed, the attacker gets C3 confirmed. C3 is a valid commitment made with knowledge of the pubkey.
>
> Nodes can reject transactions tx1 and tx3. For tx1, they will see that the SDP doesn't match the data in the transaction, so it's an invalid commitment. For tx3, they will see that it is valid, but by seeing tx3 they will also be able to determine that C2 is a valid commitment (since pubkey is revealed in tx3) which came prior to C3, making C2 the only valid commitment for that AID.
>
>
> ## Implementation
>
> Nodes would keep a new key/value store, similar to the existing UTXO set. The indexing key would be the AID, and the value would be the set of all (SDP, CTXID) pairs seen alongside that AID. Every time an commitment is seen in an OP_RETURN, nodes store the commitment.
>
> When a transaction is seen, nodes observe the pubkey used in the transaction, and look up if it matches an AID they have stored. If not, the transaction is dropped. If the AID does match, the node can now "clean out" an AID entry, eliminating all but the first valid commitment, and marking that AID as final. If the txid seen matches the remaining commitment, the transaction is valid; if not, the transaction is dropped.
>
> After the transaction is confirmed the AID entry can be deleted. Deleting the entries frees up space, and would allow another round to happen with the same pubkey, which would lead to theft. Retaining the entries takes up more space on nodes that can't be pruned, and causes pubkey reuse to destroy coins rather than allow them to be stolen. That's a tradeoff, and I personally guess it's probably not worth retaining that data but don't have a strong opinion either way.
>
> Short commitments:
>
> Since we're not trying to defend against collision attacks, I think all 3 hashes can be truncated to 16 bytes. The whole commitment could be 48 bytes long. Without truncation the commitments would be 96 bytes.
>
>
> ## Activation
>
> The activation for the commit/reveal requirement can be triggered by a proof of quantum computer (PoQC).
>
> A transaction which successfully spends an output using tapscript:
>
> OP_SHA256 OP_CHECKSIG
>
> is a PoQC in the form of a valid bitcoin transaction. In order to satisfy this script, the spending transaction needs to provide 2 data elements: a signature, and some data that when hashed results in a pubkey for which that signature is valid. If such a pair of data elements exists, it means that either SHA256 preimage resistance is broken (which we're assuming isn't the case) or someone can create valid signatures for arbitrary elliptic curve points, ie a cryptographically relevant quantum computer (or any other process which breaks the security of secp256k1 signatures)
>
> Once such a PoQC has been observed in a confirmed transaction, the requirements for the 3-hash commitment scheme can be enforced. This is a soft fork since the transactions themselves look the same, the only requirement is that some OP_RETURN outputs show up earlier. Nodes which are not aware of the commitment requirement will still accept all transactions with the new rules.
>
> Wallets not aware of the new rules, however, are very dangerous, as they may try to broadcast signed transactions without any commitment. Nodes that see such a transaction should drop the tx, and if possible tell the wallet that they are doing something which is now very dangerous! On the open p2p network this is not really enforceable, but people submitting transactions to their own node (eg via RPC) can at least get a scary error message.
>
>
> ## Issues
>
> My hope is that this scheme would give some peace of mind to people holding bitcoin, that in the face of a sudden QC, even with minimal preparation their coins can be safe at rest and safely moved. It also suggests some best practices for users and wallets to adopt, before any software changes: Don't reuse addresses, and if you have taproot outputs, include some kind of script path in the outer key.
>
> There are still a number of problems, though!
>
> - Reorgs can steal coins. An attacker that observes a pubkey and can reorg back to before the commitment can compute the private key, sign a new transaction and get their commitment in first on the new chain. This seems unavoidable with commit/reveal schemes, and it's up to the user how long they wait between confirming the commitment and revealing the transaction.
>
> - How to get op_returns in
> If there are no PQ signature schemes activated in bitcoin when this activates, there's only one type of transaction that can reliably get the OP_RETURN outputs confirmed: coinbase transactions. Getting commitments to the miners and paying them out of band is not great, but is possible and we see this kind of activity today. Users wouldn't need to directly contact miners: anyone could aggregate commitments, create a large transaction with many OP_RETURN outputs, and then get a miner to commit to that parent transaction. Users don't need to worry about committing twice as identical commitments would be a no op.
>
> - Spam
> Anyone can make lots of OP_RETURN commitments which are just random numbers, forcing nodes to store these commitments in a database. That's not great, but isn't much different from how bitcoin works today. If it's really a problem, nodes could requiring the commitment outputs to have a non-0 amount of bitcoin, imposing a higher cost for the commitments than other OP_RETURN outputs.
>
> - Multiple inputs
> If users have received more than one UTXO to the same address, they will need to spend all the UTXOs at once. The commitment scheme can deal with only the first pubkey seen in the serialized transaction.
>
> - Multisig and Lightning Network
> If your multisig counterparties have a QC, multisig outputs become 1 of N. Possibly a more complex commit / reveal scheme could deal with multiple keys, but the keys would all have to be hashed with counterparties not knowing each others' unhashed pubkeys. This isn't how existing multisig outputs work, and in fact the current trend is the opposite with things like Musig2, FROST and ROAST. If we're going to need to make new signing software and new output types it might make more sense to go for a PQ signature scheme.
>
> - Making more p2wpkhs
> You don't have to send to a PQ address type with these transactions -- you can send to p2wpkh and do the whole commit/reveal process again when you want to spend. This could be helpful if PQ signature schemes are still being worked on, or if the PQ schemes are more costly to verify and have high fees in comparison to the old p2wpkh output types. It's possible that in such a scenario a few high-cost PQ transactions commit to many smaller EC transactions. If this actually gets adoption though, we might as well drop the EC signatures and just make output scripts into raw hash / preimage pairs. It could make sense to cover some non-EC script types with the same 3-hash commitment requirement to enable this.
>
> ## Conclusion
>
> This PQ commit / reveal scheme has similar properties to Tim Ruffing's, with a smaller commitment that can be done as a soft fork. I hope something like this could be soft forked with a PoQC activation trigger, so that if a QC never shows up, none of this code gets executed. And people who take a couple easy steps like not reusing addresses (which they should anyway for privacy reasons) don't have to worry about their coins.
>
> Some of these ideas may have been posted before; I know of the Fawkscoin paper (https://jbonneau.com/doc/BM14-SPW-fawkescoin.pdf) and the recent discussion which linked to Ruffing's proposal. Here I've tried to show how it could be done in a soft fork which doesn't look too bad to implement.
>
> I've also heard of some more complex schemes involving zero knowledge proofs, proving things like BIP32 derivations, but I think this gives some pretty good properties without needing anything other than good old SHA256.
>
> Hope this is useful & wonder if people think something like this would be a good idea.
>
> -Tadge
>
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Best regards,
Boris Nagaev
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