Integrity

Integrity is a STARK proof verifier written in cairo language and deployed on Starknet.

Table of contents

• Prerequisites
• Using Verifier contracts on Starknet
• FactRegistry and Proxy contract
• Calls from Starknet contracts
• Running locally
• Creating a Proof
• Deployment
• Split Verifier Architecture

Prerequisites

To use the verifier with contracts deployed on Starknet, you need to have Rust and Starknet Foundry installed. Also make sure to update snfoundry.toml file with appropriate account name and RPC url.

For running locally and development, you will need scarb (we recommend using asdf version manager).

Using Verifier contracts on Starknet

Integrity verifier is deployed on Starknet and can be used for verifying proofs onchain. The intended way of using the verifier is through FactRegistry contract, which besides running the verification process, also stores data for all verified proofs. (For more information see FactRegistry and Proxy contract)

There are two ways of serializing proof into calldata: monolith and split proof. The former should be used if possible, because it's easier and more efficient. The latter should only be used if monolith proof did not fit in a single transaction, either because of calldata limit or steps limit.

Monolith proof

Calldata for monolith proof can be generated with the following command:

cargo run --release --bin proof_serializer < examples/proofs/recursive/cairo0_stone5_keccak_160_lsb_example_proof.json > examples/calldata

After that, you can use verify-on-starknet.sh script to send the transaction to FactRegistry contract. Remember to select appropriate settings for your proof. For more information on supported settings, see Configure Verifier.

For example, run:

./verify-on-starknet.sh 0x4ce7851f00b6c3289674841fd7a1b96b6fd41ed1edc248faccd672c26371b8c examples/calldata recursive keccak_248_lsb stone5 strict

This bash script internally calls verify_proof_full_and_register_fact function on FactRegistry contract.

Split proof

To generate split calldata, please refer to Calldata Generator README. This repository also provides script for automatic transaction sending (proof verification is split into multiple transactions, for more information see Split Verifier Architecture).

FactRegistry and Proxy contract

Since verifier can be configured in many ways and some parts of the logic changes with new stone versions, a contract which routes calls to the correct verifier is needed. This task is handled by FactRegistry contract that also stores data for all verified proofs.

After proof is verified, FactRegistered event is emitted which contains fact_hash, verification_hash, security_bits and settings. fact_hash is a value that represents proven program and its output (formally fact_hash = poseidon_hash(program_hash, output_hash)). Remember that registration of some fact_hash doesn't necessary mean that it has been verified by someone with secure enough proof. You always need to check security_bits and settings which is part of verification_hash (formally verification_hash = poseidon_hash(fact_hash, security_bits, settings)).

For more detailed and visual representation of those hash calculations, check out Integrity Hashes Calculator tool. It generates all mentioned hashes for arbitrary user input and even proof JSON file.

FactRegistry provides two methods for checking verified proofs:

• get_verification(verification_hash) - returns fact hash, security bits and settings for given verification_hash.
• get_all_verifications_for_fact_hash(fact_hash) - returns list of all verification hashes, security bits and settings for given fact_hash. This method is useful for checking if given program has been verified by someone with secure enough proof.

FactRegistry contract is trustless which means that the owner of the contract can't override or change any existing behavior, they can only add new verifiers. Proxy contract on the other hand is upgradable, so every function can be changed or removed. It has the advantage of having all future updates of the verifier logic without having to replace the address of FactRegistry contract. Proxy contract provides the same interface as FactRegistry with additional get_fact_registry method which returns address of FactRegistry contract.

Calls from Starknet contracts

Since integrity is deployed on Starknet, other contracts can call FactRegistry to check whether certain proof has been verified. Integrity can be used as a dependency of your cairo1 project by including it in project's Scarb.toml:

[dependencies]
integrity = "2.0.0"

The package provides many utility functions for interacting with the verifier. For contract calls, you can use Integrity struct which provides following methods:

• new() -> Integrity - creates new interface for interacting with official FactRegistry (contract address is set automatically).
• new_proxy() -> Integrity - creates new interface using official Proxy contract (contract address is set automatically).
• from_address(address: ContractAddress) -> Integrity - create new interface using custom FactRegistry deployment.
• is_fact_hash_valid_with_security(self: Integrity, fact_hash: felt252, security_bits: u32) -> bool - checks if given fact_hash has been verified with at least security_bits number of security bits.
• is_verification_hash_valid(self: Integrity, verification_hash: felt252) -> bool - checks if given verification_hash has been verified.
• with_config(self: Integrity, verifier_config: VerifierConfiguration, security_bits: u32) -> IntegrityWithConfig - returns new interface with custom verifier configuration.
• with_hashed_config(self: Integrity, verifier_config_hash: felt252, security_bits: u32) -> IntegrityWithConfig - returns new interface with custom verifier configuration given its hash.

On IntegrityWithConfig interface you can call:

• is_fact_hash_valid(self: IntegrityWithConfig, fact_hash: felt252) -> bool - checks if given fact_hash has been verified with selected config.

There are also few utility function for calculating hashes:

• get_verifier_config_hash(verifier_config: VerifierConfiguration) -> felt252 - calculates hash for given verifier configuration, which is used necessary for calculating verification hash.
• get_verification_hash(fact_hash: felt252, verifier_config_hash: felt252, security_bits: u32) -> felt252 - calculates verification hash for given fact_hash, verifier_config_hash and security_bits.
• calculate_fact_hash(program_hash: felt256, output: Span<felt252>) -> felt252 - calculates fact hash for given program_hash and output array.
• calculate_bootloaded_fact_hash(bootloader_program_hash: felt252, child_program_hash: felt252, child_output: Span<felt252>) -> felt252 - calculates fact hash for program that was bootloaded with standard bootloader.

Available constants are:

• INTEGRITY_ADDRESS - address of official FactRegistry contract deployed on Starknet Sepolia
• PROXY_ADDRESS - address of official Proxy contract deployed on Starknet Sepolia
• SHARP_BOOTLOADER_PROGRAM_HASH - program hash of the bootloader used by SHARP prover
• STONE_BOOTLOADER_PROGRAM_HASH - program hash of Custom Stone Bootloader

Example:

use integrity::{Integrity, IntegrityWithConfig, calculate_bootloaded_fact_hash, SHARP_BOOTLOADER_PROGRAM_HASH, VerifierConfiguration};

fn is_fibonacci_verified(fib_index: felt252, fib_value: felt252) -> bool {
    let SECURITY_BITS = 70;
    let fibonacci_program_hash = 0x59874649ccc5a0a15ee77538f1eb760acb88cab027a2d48f4246bf17b7b7694;
    let fact_hash = calculate_bootloaded_fact_hash(
        SHARP_BOOTLOADER_PROGRAM_HASH, fibonacci_program_hash, [fib_index, fib_value].span()
    );

    let integrity = Integrity::new();
    integrity.is_fact_hash_valid_with_security(fact_hash, SECURITY_BITS)
}

fn is_multi_fibonacci_verified(fib: Span<(felt252, felt252)>) -> bool {
    let config = VerifierConfiguration {
        layout: 'recursive_with_poseidon',
        hasher: 'keccak_160_lsb',
        stone_version: 'stone6',
        memory_verification: 'relaxed',
    };
    let SECURITY_BITS = 96;
    let fibonacci_program_hash = 0x59874649ccc5a0a15ee77538f1eb760acb88cab027a2d48f4246bf17b7b7694;

    let integrity = Integrity::new().with_config(config, SECURITY_BITS);

    let mut ret = true;
    for f in fib {
        let (fib_index, fib_value) = *f;
        let fact_hash = calculate_bootloaded_fact_hash(
            SHARP_BOOTLOADER_PROGRAM_HASH, fibonacci_program_hash, [fib_index, fib_value].span()
        );

        if !integrity.is_fact_hash_valid(fact_hash) {
            ret = false;
        }
    };
    ret
}

Running locally

To run the verifier locally, first you need to build cairo project using:

scarb build

The verifier by default is configured in recursive layout and keccak hasher. If you want to build for other layouts, refer to Configure Verifier

Running the Verifier on Example Proof

You can use cairo runner to run the verifier on example proof:

cargo run --release --bin runner -- \
--program target/dev/integrity.sierra.json \
--memory-verification strict \
--stone-version stone5 \
--hasher-bit-length 160_lsb \
< examples/proofs/recursive/cairo0_stone5_keccak_160_lsb_example_proof.json

Configure Verifier

By default, the verifier is configured for monolith version, recursive layout and keccak hash for verifier unfriendly commitment layers. You can easily change that by using scarb's features:

scarb build --no-default-features --features small,blake2s,monolith

• layout
  • dex
  • recursive
  • recursive_with_poseidon
  • small
  • starknet
  • starknet_with_keccak
• hash functions:
  • keccak
  • blake2s
• verifier types
  • monolith
  • split

There are also additional settings that can be configured at runtime:

• memory_verification
  • strict
  • relaxed
  • cairo1
• stone_version
  • stone5
  • stone6
• hasher bit length
  • 160_lsb
  • 248_lsb

Hash function and hasher bit length are combined into one setting:

• hasher
  • keccak_160_lsb
  • blake2s_160
  • blake2s_248_lsb

For stone5 available hashers are keccak_160_lsb and blake2s_160, for stone6 - keccak_160_lsb and blake2s_248_lsb.

Running tests

To run tests, use the following command:

scarb test

Benchmarking

In order to launch benchmarking, just run this (it requires recursive layout configuration):

cargo run --release --bin benches -- target/dev/integrity.sierra.json

Creating a Proof

Stone Prover Instructions

For detailed instructions and examples, refer to the Stone Prover documentation.

How to prove Cairo0 program with Stone Prover.

How to prove Cairo1 program with Stone Prover.

Deployment

If you want to deploy the verifier yourself, please follow these steps:

1. Deploy FactRegistry contract

bash deployment/fact_registry/deploy.sh

2. (optional) Deploy Proxy contract

bash deployment/proxy/deploy.sh
bash deployment/proxy/set_fact_registry.sh

3. Deploy and register Verifier contracts

Make sure to replace <layout> and <hasher> with appropriate names.

sncast multicall run --fee-token eth --path deployment/verifiers/<layout>/<hasher>/deploy.toml
bash deployment/verifiers/<layout>/<hasher>/register.sh

Split Verifier Architecture

Because of great complexity of the verifier compared to standard starknet contracts, we encounter some limitations enforced by starknet. The most important ones are:

• Contract classhash size limit
• Transaction calldata limit
• Transaction steps limit

To overcome these limitations, we split the verifier into multiple contracts and transactions. The biggest part of classhash size is autogenerated (e.g. recursive autogenerated), so we extracted that part into separate contract (or many contracts in case of starknet_with_keccak layout), which is called automatically by the main verifier contract. On the other hand the biggest part of calldata is fri witness, so user can send subsequent chunks of fri witness in separate step transactions.