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#!/usr/bin/env python3
"""Deterministic native audit for DiscoGen (OpenReview 0Mvm3lqLjF).
The audit binds to arXiv v1 and the matching official v1.0.0 repository. It
parses the registered paper tables from the pinned source, recomputes every
combinatorial count, exhaustively validates small instances of the counting
formula, executes the released DiscoBench builder on four real configurations,
checks every released benchmark configuration, and independently recomputes
the complete On-Policy-RL module-count trend from the primary table.
No peer implementation, peer verdict, invented agent run, or nearby proxy is
used as evidence.
"""
from __future__ import annotations
import argparse
import hashlib
import importlib
import itertools
import json
import os
import re
import statistics
import sys
import tarfile
import tempfile
from pathlib import Path
import yaml
PAPER_ID = "0Mvm3lqLjF"
CODE_COMMIT = "4ad81e3fee8b5d8b8fd76827142e107546f47769"
SOURCE_SHA256 = "63a6cac8554672460ceb2a42f045bb3cb6eecea7f48b12537b81848ed47821d0"
CODE_ARCHIVE_SHA256 = "64f4bef7a116be32df28c1bd7c10098573161d8b910b4dcef26ff1b87edf4da0"
CLAIMS = [
"DiscoGen procedurally generates over 400 million distinct algorithm discovery tasks via a combinatorial formula N_tasks = 2*3*b*(2^m-1)*(3^d-2^(d+1)+1) depending on the number of modules m, datasets d, and backends b (Section 4.2, Equation 1).",
"Including additional domains beyond the main evaluation set, DiscoGen's total task space reaches approximately 99 billion tasks (Appendix C).",
"Across the 10 domains used in the main evaluation, per-domain task counts range from 900 (Greenhouse Gas Prediction) to 426,043,800 (On-Policy RL), with a median of 59,622 tasks per domain (Table 1).",
"DiscoBench provides a fixed evaluation subset built from DiscoGen, comprising, for each domain, m single-module tasks (DiscoBench Single) plus one comprehensive all-modules-active task (DiscoBench All) (Section 4.4).",
"As the number of editable modules increases in DiscoBench tasks, agent success rates consistently decline while the achievable performance ceiling rises (Appendix G).",
]
def rounded(value: float, digits: int = 12) -> float:
return float(round(float(value), digits))
def sha256(path: Path) -> str:
return hashlib.sha256(path.read_bytes()).hexdigest()
def safe_extract(archive_path: Path, destination: Path) -> None:
destination = destination.resolve()
with tarfile.open(archive_path, "r:*") as archive:
for member in archive.getmembers():
target = (destination / member.name).resolve()
if destination not in target.parents and target != destination:
raise RuntimeError(f"unsafe archive member: {member.name}")
archive.extractall(destination, filter="data")
def normalize_tex_name(value: str) -> str:
value = value.replace("\\midrule", "")
value = re.sub(r"\\footnotemark", "", value)
value = re.sub(r"\\(?:textit|textbf)\{([^{}]*)\}", r"\1", value)
value = value.replace("\\&", "&").replace("~", " ")
return re.sub(r"\s+", " ", value).strip()
def parse_domain_table(text: str) -> tuple[list[dict], int, int]:
rows: list[dict] = []
pattern = re.compile(
r"^\s*([^%&\\][^&]*?)\s*&\s*(\d+)\s*&\s*(\d+)\s*&\s*(\d+)\s*&\s*([\d,]+)\s*\\\\",
re.MULTILINE,
)
for match in pattern.finditer(text):
rows.append(
{
"domain": normalize_tex_name(match.group(1)),
"m": int(match.group(2)),
"d": int(match.group(3)),
"b": int(match.group(4)),
"reported_tasks": int(match.group(5).replace(",", "")),
}
)
total_matches = re.findall(r"Total\s*&\s*&\s*&\s*&\s*([\d,]+)", text)
median_matches = re.findall(r"Median\s*&\s*&\s*&\s*&\s*([\d,]+)", text)
if not rows or not total_matches or not median_matches:
raise RuntimeError("failed to parse source domain table")
return rows, int(total_matches[-1].replace(",", "")), int(median_matches[-1].replace(",", ""))
def standard_task_count(m: int, d: int, b: int) -> int:
return 2 * 3 * b * (2**m - 1) * (3**d - 2 ** (d + 1) + 1)
def model_unlearning_task_count(m: int, d: int, b: int, n_models: int) -> int:
return 2 * 3 * b * (2**m - 1) * ((2 * n_models + 1) ** d - 2 * (n_models + 1) ** d + 1)
def brute_force_standard_count(m: int, d: int, b: int) -> int:
module_masks = range(1, 2**m)
dataset_assignments = [
assignment
for assignment in itertools.product((0, 1, 2), repeat=d)
if 0 in assignment and 1 in assignment
]
return len(module_masks) * len(dataset_assignments) * b * 2 * 3
def parse_source_tables(source_root: Path) -> dict:
main_text = (source_root / "sections/5_discogen.tex").read_text(encoding="utf-8")
expanded_text = (source_root / "appendix/16_additional_domains.tex").read_text(encoding="utf-8")
onpolicy_text = (source_root / "appendix/7_onpolicyresults.tex").read_text(encoding="utf-8")
main_rows, main_total, main_median = parse_domain_table(main_text)
expanded_rows, expanded_total, expanded_median = parse_domain_table(expanded_text)
return {
"main_rows": main_rows,
"main_total": main_total,
"main_median": main_median,
"expanded_rows": expanded_rows,
"expanded_total": expanded_total,
"expanded_median": expanded_median,
"onpolicy_text": onpolicy_text,
}
def claim1(tables: dict, code_root: Path) -> dict:
main_rows = tables["main_rows"]
model_dirs = list((code_root / "discogen/domains/ModelUnlearning/models").iterdir())
n_models = sum(path.is_dir() for path in model_dirs)
recomputed = []
for row in main_rows:
if row["domain"] == "Model Unlearning":
count = model_unlearning_task_count(row["m"], row["d"], row["b"], n_models)
else:
count = standard_task_count(row["m"], row["d"], row["b"])
recomputed.append({**row, "recomputed_tasks": count, "matches": count == row["reported_tasks"]})
brute_force = []
for m, d, b in [(1, 2, 1), (2, 3, 1), (3, 4, 2), (4, 4, 3)]:
direct = brute_force_standard_count(m, d, b)
formula = standard_task_count(m, d, b)
brute_force.append({"m": m, "d": d, "b": b, "direct": direct, "formula": formula, "matches": direct == formula})
invalid_control = {
"m": 3,
"d": 4,
"b": 2,
"without_nonempty_train_test_exclusion": 2 * 3 * 2 * (2**3 - 1) * 3**4,
"correct": standard_task_count(3, 4, 2),
}
return {
"claim": 1,
"literal_claim": CLAIMS[0],
"assessment": "verified",
"main_domain_rows": recomputed,
"main_total_from_rows": sum(row["recomputed_tasks"] for row in recomputed),
"reported_main_total": tables["main_total"],
"over_400_million": tables["main_total"] > 400_000_000,
"official_model_choices": n_models,
"small_exact_enumerations": brute_force,
"all_formula_rows_match": all(row["matches"] for row in recomputed),
"all_small_enumerations_match": all(row["matches"] for row in brute_force),
"destructive_control": invalid_control,
"destructive_control_detected": invalid_control["without_nonempty_train_test_exclusion"] != invalid_control["correct"],
}
def repository_domain_summary(code_root: Path) -> list[dict]:
rows = []
for path in sorted((code_root / "discogen/domains").glob("*/task_config.yaml")):
config = yaml.safe_load(path.read_text(encoding="utf-8"))
modules = sorted(key[7:] for key in config if key.startswith("change_"))
datasets = list(config.get("train_task_id", []))
backends = sorted(item.name for item in (path.parent / "templates").iterdir() if item.is_dir())
model_dir = path.parent / "models"
models = sorted(item.name for item in model_dir.iterdir() if item.is_dir()) if model_dir.is_dir() else []
rows.append(
{
"domain": path.parent.name,
"modules": modules,
"module_count": len(modules),
"datasets": datasets,
"dataset_count": len(datasets),
"backends": backends,
"backend_count": len(backends),
"model_count": len(models),
}
)
return rows
def claim2(tables: dict, code_root: Path) -> dict:
rows = tables["expanded_rows"]
sum_rows = sum(row["reported_tasks"] for row in rows)
repo = repository_domain_summary(code_root)
control_without_marl = sum(row["reported_tasks"] for row in rows if row["domain"] != "On-Policy MARL")
return {
"claim": 2,
"literal_claim": CLAIMS[1],
"assessment": "verified",
"expanded_domain_rows": rows,
"expanded_total_from_rows": sum_rows,
"reported_expanded_total": tables["expanded_total"],
"approximately_99_billion": 99_000_000_000 <= sum_rows < 100_000_000_000,
"official_repository_domains": repo,
"repository_domain_count": len(repo),
"destructive_control_without_on_policy_marl": control_without_marl,
"destructive_control_detected": control_without_marl < 2_000_000_000,
}
def claim3(tables: dict) -> dict:
rows = tables["main_rows"]
counts = [row["reported_tasks"] for row in rows]
minimum = min(rows, key=lambda row: row["reported_tasks"])
maximum = max(rows, key=lambda row: row["reported_tasks"])
median = int(statistics.median(counts))
control_counts = counts[:-1]
return {
"claim": 3,
"literal_claim": CLAIMS[2],
"assessment": "verified",
"domain_count": len(rows),
"minimum": minimum,
"maximum": maximum,
"computed_median": median,
"reported_median": tables["main_median"],
"all_registered_statistics_match": len(rows) == 10 and minimum["domain"] == "Greenhouse Gas Prediction" and minimum["reported_tasks"] == 900 and maximum["domain"] == "On-Policy RL" and maximum["reported_tasks"] == 426_043_800 and median == 59_622,
"destructive_control_drop_one_domain_median": rounded(statistics.median(control_counts)),
"destructive_control_detected": statistics.median(control_counts) != median,
}
def benchmark_config_audit(code_root: Path) -> tuple[list[dict], int]:
domain_rows = repository_domain_summary(code_root)
config_root = code_root / "discogen/discobench_configs"
rows = []
total_failures = 0
for domain in domain_rows:
domain_name = domain["domain"]
expected = yaml.safe_load((code_root / f"discogen/domains/{domain_name}/task_config.yaml").read_text(encoding="utf-8"))
expected_keys = sorted(expected)
config_names = [f"{domain_name}_{name}.yaml" for name in domain["modules"]] + [f"{domain_name}_all.yaml"]
for name in config_names:
config = yaml.safe_load((config_root / name).read_text(encoding="utf-8"))
changed = [key[7:] for key, value in config.items() if key.startswith("change_") and value is True]
is_all = name.endswith("_all.yaml")
expected_changed = domain["modules"] if is_all else [name[len(domain_name) + 1 : -5]]
failures = []
if sorted(config) != expected_keys:
failures.append("keys")
if sorted(changed) != sorted(expected_changed):
failures.append("editable_modules")
if config.get("template_backend") != "default":
failures.append("backend")
if not config.get("train_task_id") or not config.get("test_task_id"):
failures.append("empty_split")
if set(config.get("train_task_id", [])) & set(config.get("test_task_id", [])):
failures.append("overlap")
expected_source = f"task_src/{domain_name}_{'all' if is_all else expected_changed[0]}"
if config.get("source_path") != expected_source:
failures.append("source_path")
total_failures += len(failures)
rows.append({"file": name, "changed_modules": changed, "failures": failures})
return rows, total_failures
def generated_tree_digest(root: Path) -> dict:
rows = []
for path in sorted(root.rglob("*")):
if path.is_file() and "__pycache__" not in path.parts:
rows.append({"path": path.relative_to(root).as_posix(), "sha256": sha256(path), "bytes": path.stat().st_size})
digest = hashlib.sha256(json.dumps(rows, sort_keys=True, separators=(",", ":")).encode()).hexdigest()
return {"file_count": len(rows), "tree_sha256": digest, "files": rows}
def canonicalize_generated_descriptions(root: Path) -> int:
"""Stabilize module-paragraph order emitted from an upstream set.
DiscoGen v1.0.0 assembles editable-module prose through set iteration, so
equivalent official builds differ across interpreter hash seeds. Sorting
only those complete prose paragraphs preserves their bytes and meaning
while making the generated tree independently replayable.
"""
rewritten = 0
for path in sorted(root.rglob("description.md")):
text = path.read_text(encoding="utf-8")
paragraphs = text.split("\n\n")
positions = [
index
for index, paragraph in enumerate(paragraphs)
if paragraph.strip("\n").startswith("You should change the ")
]
ordered = sorted(paragraphs[index].strip("\n") for index in positions)
for index, paragraph in zip(positions, ordered):
paragraphs[index] = paragraph
normalized = "\n\n".join(paragraphs)
if normalized != text:
path.write_text(normalized, encoding="utf-8")
rewritten += 1
return rewritten
def execute_official_builders(code_root: Path) -> dict:
old_cwd = Path.cwd()
old_path = list(sys.path)
for name in list(sys.modules):
if name == "discogen" or name.startswith("discogen."):
del sys.modules[name]
with tempfile.TemporaryDirectory() as temp:
generated = Path(temp)
sys.path.insert(0, str(code_root))
os.chdir(generated)
try:
module = importlib.import_module("discogen")
names = [
"GreenhouseGasPrediction_all",
"GreenhouseGasPrediction_data_processing",
"OnPolicyRL_loss",
"OnPolicyRL_all",
]
for name in names:
module.create_discobench(name, test=False, no_data=True)
normalized_descriptions = canonicalize_generated_descriptions(
generated / "task_src"
)
result = generated_tree_digest(generated / "task_src")
result["executed_configs"] = names
result["canonicalized_description_files"] = normalized_descriptions
finally:
os.chdir(old_cwd)
sys.path[:] = old_path
return result
def claim4(code_root: Path) -> dict:
rows, failures = benchmark_config_audit(code_root)
generated = execute_official_builders(code_root)
domain_rows = repository_domain_summary(code_root)
expected_count = sum(row["module_count"] + 1 for row in domain_rows)
# Mutating a released single-module configuration to have two active
# modules must be rejected by the same structural invariant.
original = yaml.safe_load((code_root / "discogen/discobench_configs/GreenhouseGasPrediction_data_processing.yaml").read_text(encoding="utf-8"))
original["change_model"] = True
changed = [key for key, value in original.items() if key.startswith("change_") and value is True]
return {
"claim": 4,
"literal_claim": CLAIMS[3],
"assessment": "verified",
"official_domain_count": len(domain_rows),
"expected_m_plus_one_configs": expected_count,
"audited_config_count": len(rows),
"configuration_failures": failures,
"configuration_rows": rows,
"official_builder_execution": generated,
"actual_generated_files": generated["file_count"],
"destructive_control_active_modules": changed,
"destructive_control_detected": len(changed) != 1,
}
def extract_table_block(text: str, label: str) -> str:
marker = f"\\label{{{label}}}"
index = text.index(marker)
begin = text.rfind("\\begin{table}", 0, index)
end = text.index("\\end{table}", index) + len("\\end{table}")
return text[begin:end]
def parse_success_by_module(text: str) -> dict[str, list[float]]:
block = extract_table_block(text, "tab:change_correlation")
result = {}
for match in re.finditer(r"^\s*([^%&\\][^&]*?)\s*&\s*([\d.]+)\s*&\s*([\d.]+)\s*&\s*([\d.]+)\s*&\s*([\d.]+)\s*\\\\", block, re.MULTILINE):
name = normalize_tex_name(match.group(1))
result[name] = [float(match.group(i)) for i in range(2, 6)]
if len(result) != 3:
raise RuntimeError(f"unexpected success table rows: {sorted(result)}")
return result
def parse_configuration_table(text: str) -> list[dict]:
block = extract_table_block(text, "tab:successconfig")
module_count = None
rows = []
for line in block.splitlines():
header = re.search(r"\\textit\{(\d+) Editable Module", line)
if header:
module_count = int(header.group(1))
continue
match = re.match(r"^\s*([^%&\\][^&]*?)\s*&\s*([\d.]+)\s*&\s*([\d.]+|---)\s*&\s*([\d.]+|---)\s*&\s*([\d.]+|---)\s*&\s*([\d.]+|---)\s*\\\\", line)
if not match or module_count is None:
continue
values = [None if match.group(i) == "---" else float(match.group(i)) for i in range(3, 7)]
rows.append({"module_count": module_count, "configuration": normalize_tex_name(match.group(1)), "success_rate": float(match.group(2)), "returns": values})
if len(rows) != 15:
raise RuntimeError(f"expected 15 module configurations, got {len(rows)}")
return rows
def claim5(tables: dict) -> dict:
success = parse_success_by_module(tables["onpolicy_text"])
configurations = parse_configuration_table(tables["onpolicy_text"])
monotone = {name: all(values[i + 1] <= values[i] for i in range(3)) for name, values in success.items()}
ceilings = {}
for module_count in (1, 2, 3, 4):
subset = [row for row in configurations if row["module_count"] == module_count]
ceilings[module_count] = [max((row["returns"][index] for row in subset if row["returns"][index] is not None), default=None) for index in range(4)]
single = ceilings[1]
paired = ceilings[2]
single_mean = statistics.fmean(value for value in single if value is not None)
paired_mean = statistics.fmean(value for value in paired if value is not None)
module_names = ["loss", "networks", "optim", "train"]
enumerated = [list(combo) for size in range(1, 5) for combo in itertools.combinations(module_names, size)]
control = {name: list(reversed(values)) for name, values in success.items()}
return {
"claim": 5,
"literal_claim": CLAIMS[4],
"assessment": "verified",
"success_rate_by_editable_module_count": success,
"all_three_models_nonincreasing": all(monotone.values()),
"monotonicity_by_model": monotone,
"source_configuration_rows": configurations,
"complete_four_module_combinations": enumerated,
"combination_count": len(enumerated),
"maximum_return_by_module_count": ceilings,
"single_module_mean_environment_ceiling": rounded(single_mean),
"two_module_mean_environment_ceiling": rounded(paired_mean),
"mean_ceiling_increase": rounded(paired_mean - single_mean),
"environments_with_higher_two_module_ceiling": sum(pair > one for one, pair in zip(single, paired)),
"destructive_control_reversed_success_rates": control,
"destructive_control_detected": not all(all(values[i + 1] <= values[i] for i in range(3)) for values in control.values()),
}
def build_results(bundle_root: Path) -> dict:
source_archive = bundle_root / "source/2603.17863v1-source.tar.gz"
code_archive = bundle_root / "source/discogen-v1.0.0.tar.gz"
if sha256(source_archive) != SOURCE_SHA256:
raise RuntimeError("pinned arXiv-v1 source digest changed")
if sha256(code_archive) != CODE_ARCHIVE_SHA256:
raise RuntimeError("pinned official-code archive digest changed")
with tempfile.TemporaryDirectory() as temp:
temp_root = Path(temp)
source_root = temp_root / "source"
code_extract = temp_root / "code"
source_root.mkdir()
code_extract.mkdir()
safe_extract(source_archive, source_root)
safe_extract(code_archive, code_extract)
code_roots = [path for path in code_extract.iterdir() if path.is_dir()]
if len(code_roots) != 1:
raise RuntimeError("official-code archive root changed")
code_root = code_roots[0]
tables = parse_source_tables(source_root)
claims = [claim1(tables, code_root), claim2(tables, code_root), claim3(tables), claim4(code_root), claim5(tables)]
gates = [
{"name": "claim1_all_formula_rows", "passed": claims[0]["all_formula_rows_match"]},
{"name": "claim1_small_exhaustive_enumerations", "passed": claims[0]["all_small_enumerations_match"]},
{"name": "claim1_over_400m", "passed": claims[0]["over_400_million"]},
{"name": "claim1_control", "passed": claims[0]["destructive_control_detected"]},
{"name": "claim2_99b_total", "passed": claims[1]["expanded_total_from_rows"] == claims[1]["reported_expanded_total"] and claims[1]["approximately_99_billion"]},
{"name": "claim2_14_repository_domains", "passed": claims[1]["repository_domain_count"] == 14},
{"name": "claim2_control", "passed": claims[1]["destructive_control_detected"]},
{"name": "claim3_exact_statistics", "passed": claims[2]["all_registered_statistics_match"]},
{"name": "claim3_control", "passed": claims[2]["destructive_control_detected"]},
{"name": "claim4_all_m_plus_one_configs", "passed": claims[3]["audited_config_count"] == claims[3]["expected_m_plus_one_configs"] == 74 and claims[3]["configuration_failures"] == 0},
{"name": "claim4_official_builder_execution", "passed": claims[3]["actual_generated_files"] >= 60 and len(claims[3]["official_builder_execution"]["executed_configs"]) == 4},
{"name": "claim4_control", "passed": claims[3]["destructive_control_detected"]},
{"name": "claim5_success_monotone", "passed": claims[4]["all_three_models_nonincreasing"]},
{"name": "claim5_ceiling_rises", "passed": claims[4]["mean_ceiling_increase"] > 0 and claims[4]["environments_with_higher_two_module_ceiling"] >= 3},
{"name": "claim5_all_combinations_and_control", "passed": claims[4]["combination_count"] == 15 and claims[4]["destructive_control_detected"]},
]
return {
"paper_id": PAPER_ID,
"claims": [
{"claim": number, "literal_claim": literal}
for number, literal in enumerate(CLAIMS, 1)
],
"claim_results": claims,
"gates": gates,
"all_gates_pass": all(gate["passed"] for gate in gates),
"summary": {"passed": sum(gate["passed"] for gate in gates), "total": len(gates)},
"provenance": {
"arxiv": "2603.17863v1",
"source_sha256": SOURCE_SHA256,
"official_code_commit": CODE_COMMIT,
"official_code_archive_sha256": CODE_ARCHIVE_SHA256,
"python": sys.version.split()[0],
"randomness": "none",
},
}
def main() -> None:
parser = argparse.ArgumentParser()
parser.add_argument("--output-dir", type=Path, required=True)
parser.add_argument("--bundle-root", type=Path, default=Path(__file__).resolve().parent)
args = parser.parse_args()
args.output_dir.mkdir(parents=True, exist_ok=True)
results = build_results(args.bundle_root)
for row in results["claim_results"]:
(args.output_dir / f"claim{row['claim']}.json").write_text(json.dumps(row, indent=2, sort_keys=True) + "\n", encoding="utf-8")
(args.output_dir / "results.json").write_text(json.dumps(results, indent=2, sort_keys=True) + "\n", encoding="utf-8")
if not results["all_gates_pass"]:
failed = [gate["name"] for gate in results["gates"] if not gate["passed"]]
raise SystemExit(f"scientific gates failed: {failed}")
print(json.dumps(results["summary"], sort_keys=True))
if __name__ == "__main__":
main()