Works best when

  • Client cannot run a SNARK prover (constrained hardware, low power, intermittent connectivity)
  • Multiple relays are available so the client can fan out
  • The application contract can accept a public input pinning the submitter address

Avoid when

  • Client can prove locally; use direct submission instead
  • Proofs must be portable (e.g., minted as transferable artifacts)
  • Front-running the proof would not extract value (no incentive for relay theft)

I2I vs I2U — context differences

Institution to institution

I2I

Institutional client signs an internal request; proving outsourced to an MPC custodian or shared prover service.

Institution to end user

I2U

User device signs a portable message; relay generates the SNARK and submits on the user's behalf.

Post-quantum exposure

Risk · high
Vector
ECDSA / EdDSA signatures and pairing-based SNARKs (Groth16, KZG-PLONK) broken by CRQC
Mitigation
Post-quantum signatures (Falcon, Dilithium) with STARK or hash-based SNARKs

Components

  • Client-side signing primitive: a signature the client device already supports (ECDSA-secp256k1 with RFC 6979 plus canonical-s, EdDSA, or RSA-PSS). The client never holds witness data the relay can extract beyond what the signed message carries.
  • In-circuit signature verification: Noir std::ecdsa_secp256k1, in-circuit EdDSA, or equivalent gadget. The circuit recomputes the signed-message encoding bit-identically and verifies against the client's public key.
  • Submitter binding: the proof's public inputs include a submitter field. The circuit asserts the field equals a witness-shared value; the application contract on-chain asserts publicInputs.submitter == msg.sender. Together these close proof-stealing front-running.
  • Relay set: multiple relays per deployment. Clients fan out to k < N relays. Single-relay deployments do not satisfy the privacy assumption.

Protocol

  1. client Produce (payload, signature) where payload includes the application context. The signed-message encoding is pinned bit-identically to the in-circuit verifier's encoding.
  2. client Encrypt the signed message to the chosen relay's current decryption key under IND-CCA2 AEAD; transport via online IP, mesh, or courier.
  3. relay Decrypt, verify the signature against expected public-key sources, and check application preconditions.
  4. relay Construct the witness and invoke the prover (Noir + UltraHonk, Halo2, Plonky2). Public inputs include the submitter binding field set to the relay's submission EOA.
  5. relay Submit on-chain through anonymous transport. The application contract verifies the proof, asserts publicInputs.submitter == msg.sender, then executes application logic.
  6. relay Rotate submission EOAs on a published cadence (e.g., per 24 hours), funding fresh EOAs through anonymity-preserving paths to avoid long-lived submission-funding trails.

Guarantees & threat model

  • Front-running resistance: a front-runner who lifts the proof from the mempool cannot re-submit from a different address; the proof reverts on a different msg.sender.
  • Witness confidentiality from the chain: only public inputs are revealed on-chain. Private inputs (signature, membership path, internal state) stay with the relay during proof generation.
  • No client-prover requirement: the client device runs only its native signature primitive.
  • Threat model: adversaries include front-runners, the chain itself, and a non-quorum of compelled relays. Out of scope: a fully compelled or breached relay set; signed-message-encoding mismatches between client and circuit (a known historical bug class).

Trade-offs

  • The relay sees the signed message in cleartext. Mitigations: client fan-out across relays, relay-set jurisdictional diversity, decryption-key rotation.
  • Pinned signed-message encoding. Client-side serialization and circuit-side recomputation must match byte-for-byte. Audit must verify equality.
  • Witness-binding correctness. All circuit gadgets that consume the client's public key (signature verification, membership leaf hash, nullifier hash) MUST share a single witness variable. Independent equality constraints have shipped historically as a soundness bug.
  • Submitter binding precludes transferable proofs. Applications that mint transferable proof artifacts need a different proof-stealing mitigation.
  • Relay-economic recovery is open. Relays pay gas for submitted (and reverted) transactions. Deployment-level compensation models are out of scope.

Example

A privacy-preserving token airdrop with offline eligibility credentials. Eligibility is pre-distributed through a tamper-resistant medium (paper QR with embedded signing key, low-power hardware token). To redeem, the recipient signs a redemption message and forwards it to one of N airdrop-relay operators. The relay generates an UltraHonk proof of eligibility-Merkle-tree membership and signature validity, with publicInputs.relaySubmitter set to the relay's rotating submission EOA. The airdrop contract verifies the proof and asserts msg.sender == publicInputs.relaySubmitter. A front-runner who lifts the proof cannot redirect the airdrop because the submitter check fails.

See also

Open-source implementations

Last reviewed 2026-04-27