Stateful hash-based schemes have been recommended by NIST. See
https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-208.pdf
. Also you might be interested to read about SHRINCS:
https://delvingbitcoin.org/t/shrincs-324-byte-stateful-post-quantum-signatures-with-static-backups/2158
.

Best,
Mikhail


On Wed, May 20, 2026 at 7:44 PM Jason Resch <[email protected]> wrote:

> NIST is standardizing SLH-DSA as a stateless, post-quantum-secure
> hash-based signature scheme. However, to achieve the stateless feature of
> being able to sign multiple messages, requires a significant size overhead.
>
> SLH-DSA (for parameters n=16, w=16) results in signatures that are 7,888
> bytes long.
>
> However, if statelessness isn't required, and this can be reduced to 900
> bytes for something like XMSS using the same parameters.
>
> Furthermore, if multiple signings per key are dropped as a requirement,
> and "one time signatures" are used (e.g. WOTS+) then this size reduces
> further to 560 bytes.
>
> This is a ~14× reduction in signature size for a feature that Bitcoin
> transactions not only don't need, but are strongly discouraged if not
> harmful. Using the same key more than once is only required if one is
> reusing the same address (discouraged), or if one is attempting some kind
> of double-spend attack.
>
> This could be seen as a sort of advantage: if one attempts to
> double-spend, they may expose their private key. This same property was an
> element of Chaum's digital cash: attempting to double-spend exposed you.
>
> Is there any advocacy for NIST to standardize stateful or one-time-use
> signature algorithms? They seem well-suited to the block-chain use case,
> where there is always global and persistent state, and keys ought not be
> re-used. Though this needs to be carefully managed by wallet software: to
> only expose a one-time-use address to handle a single transaction with a
> single payer, and never use a OTS address for any kind of public-facing or
> long-term donation address. Perhaps this complication makes OTS not worth
> introducing generally, but their space saving properties are attractive.
>
> Jason
>
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