groth16-zorch

A Groth16 prover implementation in Python using Zorch. This is the Python counterpart of RabbitSNARK, which implements the Groth16 proving scheme using HLO via PrimeIR and ZKX.

Features

• Parse circom proving key (.zkey) files
• Circom witness from a pre-computed .wtns file (e.g. produced by snarkjs)
• Load gnark binary exports for circuit proving
• Az/Bz evaluated in pure FRX (frx.ops.segment_sum over the BN254 field dtype), so they run on the GPU alongside the prover — no native library needed
• Groth16 proof generation with snarkjs-compatible JSON output

How to build

1. Clone the repository

   git clone https://github.com/fractalyze/groth16-zorch.git
   

2. Navigate to the project directory

   cd groth16-zorch
   

3. Install the package

   pip install -e .
   

   For development with test dependencies:

   pip install -e ".[dev]"
   

How to run

CLI

Circom

# Witness is a pre-computed .wtns (e.g. `snarkjs wtns calculate`)
groth16-zorch circom prove <circuit.zkey> <witness.wtns> <proof.json> <public.json>

groth16-zorch circom verify <vkey.json> <public.json> <proof.json>

Gnark

groth16-zorch gnark prove <export_dir> <proof.json> <public.json> [--no-zk] [--deterministic]
groth16-zorch gnark verify <export_dir> <public.json> <proof.json>

Python API

Circom (.zkey + .wtns)

import numpy as np
from zk_dtypes import bn254_sf_mont

from groth16_zorch.circom.wtns import parse_wtns
from groth16_zorch.circom.zkey import parse_zkey
from groth16_zorch.circom.zkey_to_terms import zkey_to_terms
from groth16_zorch.groth16 import compile_circom, write_public_signals
from groth16_zorch.r1cs import compute_abc

zkey = parse_zkey("path/to/circuit.zkey")
compiled = compile_circom(zkey)  # one-time: parse zkey, build term matrices + arrays

wtns = parse_wtns("path/to/circuit.wtns")
witness_mont = wtns.data._witnesses.view(np.dtype(bn254_sf_mont))
_terms, coefficients = zkey_to_terms(zkey)
az_mont, bz_mont = compute_abc(
    witness_mont, compiled.terms, coefficients, compiled.domain_size
)
z_std = wtns.data._witnesses
public_signals = write_public_signals(wtns.witnesses, compiled.config.num_public)
proof, public_signals = compiled.prove(z_std, az_mont, bz_mont, public_signals)

Gnark binary export

import numpy as np
from frx import lax
from zk_dtypes import bn254_sf, bn254_sf_mont

from groth16_zorch.gnark import load_gnark_export
from groth16_zorch.groth16 import compile_gnark

# The export carries the solved witness and Az/Bz (solution_a/b), both
# produced by gnark's Go solver — nothing is recomputed here.
data = load_gnark_export("path/to/export/")
compiled = compile_gnark(data)

z_std = np.asarray(
    lax.convert_element_type(data.witness_full.view(bn254_sf_mont), bn254_sf)
)
public_signals = [str(int(z_std[i])) for i in range(compiled.config.num_public)]
proof, public_signals = compiled.prove(
    z_std, data.az_mont, data.bz_mont, public_signals
)

The output proof.json and public.json follow the same JSON schema as snarkjs, so you can verify with:

snarkjs groth16 verify verification_key.json public.json proof.json

Compatibility

Circom / snarkjs

groth16-zorch is input/output compatible with the circom/snarkjs ecosystem:

Gnark

groth16-zorch loads binary exports produced by a gnark Go program (see tests/gnark/gen_fixture for a minimal example). The export must include witness_full.bin and solution_a/b.bin — the witness and Az/Bz that gnark's r1csTyped.Solve computes natively:

Benchmark

Prove time for SP1's final Groth16 verifier circuit — BN254, 15,965,950 constraints, domain 2²⁴ — on an RTX 5090. The reference is gnark's ICICLE GPU Groth16 prover on the same circuit and GPU. groth16-zorch's proof verifys and is deterministic (fixed output across runs).

Both provers consume the same gnark export, which already carries the solved witness and Az/Bz (gnark's Go solver produces them at export time). So this is a prove-only comparison — it excludes witness solving on both sides:

gnark's end-to-end run additionally re-solves the witness on every proof (~2.2 s), for ~4.5 s total; groth16-zorch loads that pre-solved witness/Az/Bz straight from the export. One-time setup for groth16-zorch (not counted in the prove time): ~4.4 s to load the 19 GB export and ~5.0 s to compile the 2²⁴ executable.

Reproduce with //benchmark:sp1_groth16 (see .github/workflows/benchmark.yml):

FRX_PLATFORMS=cuda,cpu bazel run //benchmark:sp1_groth16 -- \
    --export_dir=<sp1-groth16-export> --deterministic --circuit=sp1

How to test

bazel test //...

Test organization:

• //tests/circom:e2e_test — Circom prove/verify via .wtns
• //tests/gnark:e2e_test — Gnark export prove/verify
• //tests/circom:zkey_test — .zkey parser unit tests
• //tests/circom:wtns_test — .wtns parser unit tests

License

Licensed under the Apache License, Version 2.0 (see LICENSE).