Walrus does not push full proofs or raw data onto the Sui blockchain. That would defeat the purpose of scalable availability. Instead, proofs are compressed into succinct cryptographic commitments. In practice, this means that off-chain challenge–response results are aggregated into compact representations—most naturally expressed as hash commitments or Merkle-style roots tied to specific blobs and epochs.
These commitments allow the chain to verify that availability checks occurred without replaying or storing the underlying data.
From how the system is structured, the blockchain acts as a verifier of claims, not a carrier of proofs. WAL payments and rewards are triggered by these succinct attestations, keeping on-chain state minimal while preserving auditability.