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# SPDX-License-Identifier: Apache-2.0
# Copyright 2026 Protocol Company
"""Recompute the cryptographic proof of every answer in the Edges dataset, from the dataset alone.
python3 scripts/verify_rows.py # every row of data/cards.jsonl and data/solvers.jsonl
python3 scripts/verify_rows.py data/cards.jsonl --id edge-0123456789ab
Nothing is sent anywhere and nothing but the Python standard library is used. For each row
the script recomputes, from the answer text the row holds:
a run link_0 from the request, the chain of recorded frames, the state digest,
the run seal and the receipt;
a solution the six seal parts, the solution seal and the receipt;
and then holds the row's own columns to its two requests and two answers: the two requests
differ in the one input the row names, the values and their exact hex are the ones sent, the
width is their difference, and the stop name, the outcomes, the proofs and the engine version
are the ones the answers carry. An answer that is a sentence (a request stopped before any
computing) carries no proof; the script confirms the row claims none.
The rules are those of the engine's published reference, restated in VERIFY.md of
https://github.com/johnkruze/zero-trust-physics. Exit code 0: every row holds. 1: one does not.
"""
import hashlib
import json
import os
import re
import struct
import sys
NAME = re.compile(r"\(([A-Z][A-Za-z0-9]+)\)")
def sha(data):
return hashlib.sha256(data if isinstance(data, bytes) else data.encode("utf-8")).hexdigest()
def fhex(x):
return struct.pack(">d", float(x)).hex()
def string_text(s):
return json.dumps(s, ensure_ascii=False)
def sealed_form(v):
"""The text a request is hashed in: keys sorted by their bytes, a number as x and its 64 bits."""
if v is True:
return "true"
if v is False:
return "false"
if v is None:
return "null"
if isinstance(v, (int, float)):
return "x" + fhex(v)
if isinstance(v, str):
return string_text(v)
if isinstance(v, list):
return "[" + ",".join(sealed_form(x) for x in v) + "]"
if isinstance(v, dict):
keys = sorted(v, key=lambda k: k.encode("utf-8"))
return "{" + ",".join(string_text(k) + ":" + sealed_form(v[k]) for k in keys) + "}"
raise ValueError("no sealed form for %r" % type(v))
def receipt_holds(text):
marker = ',"receipt_sha256":"'
at = text.rfind(marker)
tail = text[at + len(marker):]
if at < 0 or len(tail) != 66 or not tail.endswith('"}'):
return False
return tail[:64] == sha(text[:at] + "}")
def verify_run(text, request):
"""Returns a list of what does not hold in a run_trajectory answer; empty when all holds."""
bad = []
plain = json.loads(text)
exact = json.loads(text, parse_int=float)
sent = {k: v for k, v in json.loads(request, parse_int=float).items() if k not in ("readout", "from")}
link = sha(sealed_form(exact["inputs"]))
if sha(sealed_form(sent)) != link:
bad.append("the answer's inputs are not the request sent")
for frame in plain["frames"]:
data = bytes.fromhex(frame["frame_hex"])
if len(data) != 64 or data[48:64] != bytes.fromhex(link)[:16]:
bad.append("proof slot of the frame of step %s" % frame["step"])
break
link = sha(data)
if link != frame["link"]:
bad.append("link of the frame of step %s" % frame["step"])
break
state, digest = plain["final_state"], None
if plain["steps_landed"] and state is not None:
lines = []
for key in sorted(state, key=lambda k: k.encode("utf-8")):
value = state[key]
if isinstance(value, bool):
lines.append("%s:%s\n" % (key, "true" if value else "false"))
elif key.endswith("_hex"):
lines.append("%s:%s\n" % (key, ",".join(value) if isinstance(value, list) else value))
lines.append("final_residual_conservation_error_hex:%s\n" % plain["final_residual_conservation_error_hex"])
lines.append("max_residual_conservation_error_hex:%s\n" % plain["max_residual_conservation_error_hex"])
digest = sha("".join(lines))
if digest != plain["state_digest"]:
bad.append("state_digest")
tail = json.dumps({"outcome": plain["outcome"], "steps_landed": plain["steps_landed"],
"reject": plain["reject"], "state_digest": digest}, separators=(",", ":"), ensure_ascii=False)
if sha(link + tail) != plain["run_seal"]:
bad.append("run_seal")
if not receipt_holds(text):
bad.append("receipt")
return bad
def hex_item(v):
return "[" + ",".join(hex_item(x) for x in v) + "]" if isinstance(v, list) else v
def hex_lines(section, name):
if section is None:
return ""
return "".join("%s.%s:%s\n" % (name, k, hex_item(section[k]))
for k in sorted(section, key=lambda k: k.encode("utf-8")) if k.endswith("_hex"))
def verify_solution(text, request):
"""Returns a list of what does not hold in a solve answer; empty when all holds."""
bad = []
plain = json.loads(text)
exact = json.loads(text, parse_int=float)
sent = json.loads(request, parse_int=float)
parts = [
("inputs", sealed_form(exact["inputs"])),
("engine_version", "engine_version:%s\n" % plain["engine_version"]),
("invariants", hex_lines(plain.get("invariants"), "invariants")),
("result", hex_lines(plain.get("result"), "result")),
("field_sha256", plain["field_sha256"] if plain.get("field_sha256") else "null"),
("outcome", json.dumps({"outcome": plain["outcome"], "iterations": plain["iterations"], "reject": plain["reject"]},
separators=(",", ":"), ensure_ascii=False)),
]
if "parameters" in sent and sha(sealed_form(sent)) != sha(parts[0][1]):
bad.append("the answer's inputs are not the request sent")
for name, part in parts:
if plain["seal_parts"].get(name) != sha(part):
bad.append("seal part " + name)
if sha("".join(part for _, part in parts)) != plain["solution_seal"]:
bad.append("solution_seal")
if not receipt_holds(text):
bad.append("receipt")
return bad
def leaves(node, path=""):
if isinstance(node, dict):
for k, v in node.items():
yield from leaves(v, path + ("." if path else "") + k)
elif isinstance(node, list):
for i, v in enumerate(node):
yield from leaves(v, "%s[%d]" % (path, i))
else:
yield path, node
def check_row(row):
bad = []
run = row["tool"] == "run_trajectory"
verify = verify_run if run else verify_solution
seal = "run_seal" if run else "solution_seal"
if row["proof_kind"] != seal:
bad.append("proof_kind")
# the inside answer always stands and always carries a proof
try:
bad += ["inside: " + b for b in verify(row["inside_answer"], row["inside_request"])]
inside = json.loads(row["inside_answer"])
except (ValueError, KeyError, TypeError) as e:
return bad + ["inside answer not read: %r" % e]
if inside[seal] != row["inside_proof"] or inside["receipt_sha256"] != row["inside_receipt"]:
bad.append("inside proof columns")
if inside["outcome"] != row["inside_outcome"] or inside["outcome"] not in ("completed", "ended", "converged"):
bad.append("inside_outcome")
if inside["engine_version"] != row["engine_version"]:
bad.append("engine_version")
# the outside answer is a sealed result, or a sentence with no proof
try:
outside = json.loads(row["outside_answer"])
outside = outside if isinstance(outside, dict) and "outcome" in outside else None
except ValueError:
outside = None
if outside is None:
names = NAME.findall(row["outside_answer"])
if row["outside_proof"] is not None or row["outside_receipt"] is not None:
bad.append("a proof is claimed for a request stopped before any computing")
if row["stop_name"] != (names[-1] if names else None) or row["stop_sentence"] != row["outside_answer"]:
bad.append("stop_name or stop_sentence is not the answer's")
if not row["outside_answer_is_error"] or row["edge_kind"] != "declared_limit":
bad.append("edge_kind")
else:
bad += ["outside: " + b for b in verify(row["outside_answer"], row["outside_request"])]
if outside[seal] != row["outside_proof"] or outside["receipt_sha256"] != row["outside_receipt"]:
bad.append("outside proof columns")
if outside["outcome"] != row["outside_outcome"]:
bad.append("outside_outcome")
if row["edge_kind"] == "declared_limit":
if outside["outcome"] != "refused" or outside["reject"] != row["stop_name"] or outside["reject_detail"] != row["stop_sentence"]:
bad.append("stop columns")
elif row["edge_kind"] == "declared_end":
ended = outside if outside["outcome"] == "ended" else inside
if ended["outcome"] != "ended" or ended["reject"] != row["stop_name"] or ended["reject_detail"] != row["stop_sentence"]:
bad.append("stop columns")
elif row["edge_kind"] == "outcome_flip":
if (outside["outcome"], outside["reject"]) != (inside["outcome"], inside["reject"]) or not row["flip"]:
bad.append("flip")
else:
bad.append("edge_kind")
if run:
if inside["steps_landed"] != row["inside_steps_landed"] or (outside["steps_landed"] if outside else None) != row["outside_steps_landed"]:
bad.append("steps_landed columns")
# the two requests differ in the one input the row names, by the values the row states
a = dict(leaves(json.loads(row["inside_request"], parse_int=float)))
b = dict(leaves(json.loads(row["outside_request"], parse_int=float)))
differ = [k for k in a if a[k] != b.get(k) or (isinstance(a[k], float) and fhex(a[k]) != fhex(b[k]))]
pattern = re.escape(row["input"]).replace(r"\[\*\]", r"\[\d+\]")
if set(a) != set(b) or not differ or any(not re.fullmatch(pattern, k) for k in differ):
bad.append("the requests do not differ in the named input alone: %s" % differ)
else:
if any(fhex(a[k]) != row["inside_value_hex"] or fhex(b[k]) != row["outside_value_hex"] for k in differ):
bad.append("value hex")
vi = struct.unpack(">d", bytes.fromhex(row["inside_value_hex"]))[0]
vo = struct.unpack(">d", bytes.fromhex(row["outside_value_hex"]))[0]
if vi != row["inside_value"] or vo != row["outside_value"] or abs(vo - vi) != row["width"]:
bad.append("value decimals or width")
if not row["whole_number_input"]:
def order(h):
n = int(h, 16)
return n if n < 1 << 63 else -(n - (1 << 63)) - 1
if (abs(order(row["inside_value_hex"]) - order(row["outside_value_hex"])) == 1) != row["adjacent_64_bit_numbers"]:
bad.append("adjacent_64_bit_numbers")
return bad
def main(argv):
here = os.path.dirname(os.path.abspath(__file__))
only = None
if "--id" in argv:
at = argv.index("--id")
only = argv[at + 1]
argv = argv[:at] + argv[at + 2:]
files = argv or [os.path.join(here, "..", "data", "cards.jsonl"), os.path.join(here, "..", "data", "solvers.jsonl")]
total = held = proofs = 0
for path in files:
n = ok = 0
with open(path, encoding="utf-8") as f:
for line in f:
if not line.strip():
continue
row = json.loads(line)
if only and row["id"] != only:
continue
n += 1
bad = check_row(row)
proofs += 1 + (row["outside_proof"] is not None)
if bad:
print("%s %s %s: %s" % (row["id"], row["model"], row["input"], "; ".join(bad)))
else:
ok += 1
print("%s: %d of %d rows hold" % (os.path.basename(path), ok, n))
total += n
held += ok
print("result: %d of %d rows hold; %d proofs recomputed" % (held, total, proofs))
return 0 if held == total and total else 1
if __name__ == "__main__":
sys.exit(main(sys.argv[1:]))
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