From 32a3fa83aaa639570db53beb381016711aa6f5b5 Mon Sep 17 00:00:00 2001 From: Cinna Davis <1337isnot1337@users.noreply.github.com> Date: Sat, 17 Oct 2026 16:27:32 -0500 Subject: [PATCH 1/2] Add independent PR3190 port-0 operator audit --- .../README.md | 48 + .../SOURCES.json | 138 + .../TASK.json | 66 + .../VERIFY.json | 27 + .../vendor/BASE-FILL.json.gz | Bin 0 -> 1397812 bytes .../vendor/DATA-PHASES.json | 1 + .../vendor/DISPATCH.json | 1 + .../vendor/EXCHANGE.json | 2762 +++++++++++++++++ .../vendor/ORDER.json | 1 + .../vendor/PLAN.json.gz | Bin 0 -> 29933 bytes .../vendor/PR3190-MOVES.json.gz | Bin 0 -> 1163384 bytes .../vendor/PROVIDERS.json | 842 +++++ .../vendor/TEMPLATE.json.gz | Bin 0 -> 1124331 bytes .../verify.py | 448 +++ 14 files changed, 4334 insertions(+) create mode 100644 research/pr3190-independent-operator-audit/README.md create mode 100644 research/pr3190-independent-operator-audit/SOURCES.json create mode 100644 research/pr3190-independent-operator-audit/TASK.json create mode 100644 research/pr3190-independent-operator-audit/VERIFY.json create mode 100644 research/pr3190-independent-operator-audit/vendor/BASE-FILL.json.gz create mode 100644 research/pr3190-independent-operator-audit/vendor/DATA-PHASES.json create mode 100644 research/pr3190-independent-operator-audit/vendor/DISPATCH.json create mode 100644 research/pr3190-independent-operator-audit/vendor/EXCHANGE.json create mode 100644 research/pr3190-independent-operator-audit/vendor/ORDER.json create mode 100644 research/pr3190-independent-operator-audit/vendor/PLAN.json.gz create mode 100644 research/pr3190-independent-operator-audit/vendor/PR3190-MOVES.json.gz create mode 100644 research/pr3190-independent-operator-audit/vendor/PROVIDERS.json create mode 100644 research/pr3190-independent-operator-audit/vendor/TEMPLATE.json.gz create mode 100644 research/pr3190-independent-operator-audit/verify.py diff --git a/research/pr3190-independent-operator-audit/README.md b/research/pr3190-independent-operator-audit/README.md new file mode 100644 index 0000000000..08d6692875 --- /dev/null +++ b/research/pr3190-independent-operator-audit/README.md @@ -0,0 +1,48 @@ +# Independent exact audit of PR #3190's port-0 transfer witness + +**Scoped finite result. No new κ, supplier bound, or multiplication theorem.** + +## Result and exact scope + +At owner replica 0, port 0, the pinned PR #3190 move list contains exactly two transfers: + +- child 14 to child 8, axis 2^72; +- child 15 to child 10, axis 2^72. + +Using the selected frame recipe and completed local-invocation event contract at the single Fourier character 2^72, an independent dense matrix replay gives the baseline operator i I₈. Each transfer alone changes exactly five matrix entries; the joint transfer changes the disjoint union of those ten entries. For example, entry (6,6) changes from i to −1 under 14→8, and entry (7,7) changes from i to −1 under 15→10. + +| Isolated transfer | Exact changed entries, before → after | +| --- | --- | +| 14→8 | (3,1): 0→−1+i; (3,3): i→1; (5,1): 0→−1+i; (5,3): 0→1−i; (6,6): i→−1 | +| 15→10 | (0,2): 0→−1+i; (0,4): 0→−1+i; (2,2): i→1; (2,4): 0→1−i; (7,7): i→−1 | + +This independently reproduces the port-0 counterexample in [PR #3296](https://github.com/CrocSwap/integer-mult-bounds/pull/3296). It establishes that these two literal transfers do not preserve this finite operator under the stated contract. + +It does **not** establish that every move in #3190 fails, that every port or replica fails, that simultaneous or repaired transfers fail, or that the broader remainder-transfer mechanism is impossible. It changes no selected result and gives no bound on κ. + +## Inputs, method, and assumptions + +The package pins eight base data inputs and the task-catalogue/selected-result provenance records in [SOURCES.json](SOURCES.json); its nine offline copies are separately bound by SHA256 and Git blob IDs in the retained-file inventory. The selected base is main commit 463113d675af7410ac91d53a4fed51ec6494eb9a. The move-list Git blob is e8401e6d138d9fcf9725530e7ae36d2db1386bda, pinned in the source archive at commit 7f4ba27cb43666e974e369350bbc47dab0ce0456. GitHub reports the same blob at current PR #3190 head 5e4a3235169edddd033889da4e9f47635ff50c3e, and PR #3296 carries the identical vendored bytes. + +The verifier does not import PR #3187's algebra.py or source.py, nor PR #3296's obstruction.py. It checks every vendored SHA256, reconstructs the 2,717,280-row fill from its base rows and exchange journal, verifies the canonical fill digest, and independently projects the 30 owner-0/port-0 hosted rows. It then applies the declared per-axis rule, rank cap, and orthonormality checks, and composes the event gates as dense 8×8 matrices over the Gaussian integers. The exact 5+5 entries above are compared, including an empty-overlay positive control and invalid-axis/self-transfer rejection controls. + +The operator interpretation follows the repository's completed local-invocation contract and pinned execution schedule. As in that contract, bank-padding events remain outside these eight streams, and the all-family translation correction is zero at identity gauge. This replay does not independently prove that the contract models a more general computation or that every omitted system-level obligation is discharged. + +The task picker first suggested independent-moment work, but live overlap checks found active #2979 audits. This package records a changed scope: a bounded independent audit of the newest open, unreviewed #3296 port-0 operator claim. It does not extend the overlapping #2979 moment work. + +## Reproduce + +From the repository root, run: + + python3 scripts/research_package.py --package research/pr3190-independent-operator-audit --check-only + python3 scripts/research_package.py --package research/pr3190-independent-operator-audit + +The second command runs the registered bounded verifier. It uses only the Python standard library. The package metadata check verifies source pins and declared tracked inputs; the verifier checks the complete fill digest, exact move identity, and exact matrix differences. + +## Open next questions + +Can a proof covering simultaneous transfers, all 112 ports, and every owner-replica hosting show that no legal remainder-transfer family preserves the local operator? That would bear on whether the transfer mechanism has any valid form beyond these committed moves. A first step is to express the transfers as character-dependent phase changes on child pairs and classify how the intervening bridges can conjugate or cancel them. The present package checks one port and one character; the complete classification and simultaneous-transfer proof remain open. + +## Credit + +Prepared by OpenAI Codex with substantial AI assistance, disclosed in TASK.json. Source and lineage credit remain with the authors of [PR #3148](https://github.com/CrocSwap/integer-mult-bounds/pull/3148), [PR #3187](https://github.com/CrocSwap/integer-mult-bounds/pull/3187), [PR #3190](https://github.com/CrocSwap/integer-mult-bounds/pull/3190), and [PR #3296](https://github.com/CrocSwap/integer-mult-bounds/pull/3296). No human or formal mathematical review is claimed. 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"Independently reconstruct a coordinated frame/circuit change and its single-change control, then derive the complete rank and physical ledger.", + "Implement certified moment inequalities through a different exact enclosure method." + ], + "acceptance_gate": "Demonstrate independence, source binding, positive cases and semantic failure controls. Name the existing checks and the missing coverage. More digits or another equivalent evaluation of an unchanged root is not by itself new verification coverage.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #2979 joint rank-7 end-frame proposal and the revision-6 evidence status. Its claimed kappa is not selected. Compare coordinated changes with the losing single-change controls and locate the complete physical ledger; an aggregate moment alone does not validate the mechanism.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Prioritize a bounded independent audit of #2979: reconstruct one joint group and its single-lowering control, check the declared frames/chronology, then trace changed children, idle widths and cleanup buffers into the complete invoice and both supplier caps. Choose one still-missing implication after checking existing audits. Stop with exact unresolved dependencies if full admission exceeds the session; do not launch a new lowering census on an unvalidated premise or substitute extra root digits for mechanism checking.", + "bottleneck_link": "Independent pricing prevents unsupported frontier claims and can reveal genuine accounting slack.", + "allowed_variations": [ + "Reconstruct either a source ledger or a numeric enclosure with a different method." + ], + "scope_change_triggers": [ + "Importing the primary function and calling its output independent verification.", + "Promoting #2979 from merged source archive to validated supplier solely from author PASS receipts or aggregate pricing." + ], + "overlap_terms": [ + "independent moment", + "rank histogram", + "exact enclosure", + "2979", + "rank7 joint endframes", + "paired extraction", + "joint lowering" + ] + }, + "scope_status": "changed", + "actual_scope": "Independently reconstruct the pinned PR3148 port-0 fill and exact eight-stream Gaussian-integer operator at Fourier character 2^72, then test the two literal hosted-remainder moves committed by PR #3190.", + "scope_change_reason": "The chooser suggested independent-moment, but live overlap checks found active #2979 audits (#3236, #3237, #3238, #3245 and #3285). I changed scope to the newest unreviewed bounded operator claim, PR #3296, and will independently rederive its single port-0 witness rather than extend the overlapping #2979 audit.", + "bottleneck_link": "This is a side audit of an operator-preservation claim, not a selected-kappa supplier. Independent source binding and exact replay can reject a concrete unsupported transfer claim while preserving the current frontier result.", + "budget_minutes": 60, + "stop_rule": "Stop after the exact base fill, two source-pinned moves, baseline operator, each isolated transfer, and joint transfer reproduce; do not expand to the full port census or mechanism theorem.", + "outcome": "negative-result", + "evidence": "Standard-library verifier reconstructs the canonical fill hash and owner-replica-0 port-0 projection, checks both moves against the declared commuting rule, and computes the baseline and all three overlays by dense exact Gaussian-integer matrix products. It independently obtains the exact 5+5 disjoint changes at character 2^72 under the stated local-invocation event contract. It proves only that these two literal moves do not preserve this finite operator.", + "author": "OpenAI Codex", + "ai_assistance": "Substantial assistance from OpenAI Codex: source review, verifier implementation, mathematical derivation and documentation. No human or formal proof review is claimed.", + "open_questions": [ + { + "question": "Can a proof covering simultaneous transfers, all 112 ports and every owner-replica hosting show that no legal remainder-transfer family preserves the local operator?", + "why_it_matters": "The finite port-0 witness rejects the committed moves but cannot establish that the broader mechanism has no valid transfer or repaired schedule.", + "first_step": "Formalize the transfer action on each child pair as a change in the exact character-dependent diagonal phase, then identify which intervening bridges can conjugate or cancel it across the full port and replica inventory.", + "blocked_by": "Requires a complete source-bound all-port/all-replica classification and a proof for simultaneous changes; the current package checks only two moves at one port and one character." + } + ] +} diff --git a/research/pr3190-independent-operator-audit/VERIFY.json b/research/pr3190-independent-operator-audit/VERIFY.json 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literal 0 HcmV?d00001 diff --git a/research/pr3190-independent-operator-audit/vendor/DATA-PHASES.json b/research/pr3190-independent-operator-audit/vendor/DATA-PHASES.json new file mode 100644 index 0000000000..d9a4f84211 --- /dev/null +++ b/research/pr3190-independent-operator-audit/vendor/DATA-PHASES.json @@ -0,0 +1 @@ +{"cover_correction":{"complete_small_cover_checks":[{"n":1,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":1},{"n":2,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":2},{"n":3,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":6},{"n":4,"nonzero_full_kernel_corrections":24,"orthogonal_matrices":48},{"n":5,"nonzero_full_kernel_corrections":600,"orthogonal_matrices":720}],"formula":"delta(g)_i = (weight(row_i(g))-1)/2 mod 2; apply X_delta(g) to EVERY final live stream in cover class g.","mandatory":true,"reason":"P_g C_all P_g^-1 = C_all X_delta(g) exactly. Orthogonality cancels all quadratic cross terms; both sides fix the uniform vector."},"global_phase_argument":"Every C_q and every linear address permutation fixes the uniform vector. 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+"""Independent exact replay of PR3190's two port-0 remainder transfers.""" + +from collections import Counter, defaultdict +import gzip +import hashlib +import io +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +BASE_ROWS = 9 * 74 * 408 +TOTAL_ROWS = 10 * BASE_ROWS +FILL_SHA256 = "8f4d6965ba573ff2b71fd7bf6b552643e086739d90bd73c55889502077638e00" +AXIS72 = 1 << 72 +ZERO = (0, 0) +ONE = (1, 0) + + +class VerificationError(ValueError): + pass + + +def need(condition, message): + if not condition: + raise VerificationError(message) + + +def pinned_inputs(): + manifest = json.loads((HERE / "SOURCES.json").read_text(encoding="utf-8")) + source_rows = {row["path"]: row for row in manifest["files"]} + result = {} + for row in manifest.get("retained_files", []): + path = HERE / row["local_path"] + need(path.is_file() and not path.is_symlink(), "missing or linked input: " + row["local_path"]) + raw = path.read_bytes() + need(hashlib.sha256(raw).hexdigest() == row["sha256"], "input SHA256 mismatch: " + row["local_path"]) + blob = b"blob " + str(len(raw)).encode("ascii") + b"\0" + raw + actual_blob = hashlib.sha1(blob, usedforsecurity=False).hexdigest() + need(actual_blob == row["git_blob"], "retained Git blob mismatch: " + row["local_path"]) + upstream = source_rows.get(row["upstream_path"]) + need(upstream is not None, "retained input lacks a source row: " + row["upstream_path"]) + need(upstream["sha256"] == row["sha256"] and upstream["git_blob"] == row["git_blob"], + "retained input differs from its source row: " + row["upstream_path"]) + pin = upstream.get("pin") + pinned_head = pin.split(":", 2)[1] if pin else manifest["base_commit"] + need(pinned_head == row["head"], "retained input head differs from source pin: " + row["local_path"]) + result[path.name] = raw + need(len(result) == 9, "expected the nine declared source inputs") + return result + + +def decode_json(raw, compressed=False): + if compressed: + with gzip.GzipFile(fileobj=io.BytesIO(raw)) as stream: + raw = stream.read(32_000_001) + need(len(raw) <= 32_000_000, "decoded input exceeds the bounded size") + return json.loads(raw) + + +def lifted_row(base, index): + copy, original = divmod(index, BASE_ROWS) + time, helper, owner, child, port, offset = base[original] + return [10 * time + copy, helper, owner + 74 * copy, child, port, offset] + + +def authenticated_port_zero(base_raw, journal_raw): + need(hashlib.sha256(base_raw).hexdigest() == json.loads(journal_raw)["base_fill_sha256"], + "exchange journal does not bind the base fill bytes") + base = decode_json(base_raw, compressed=True)["rows"] + journal = json.loads(journal_raw) + need(len(base) == BASE_ROWS, "base fill row count") + need(journal["copies"] == 10 and len(journal["edits"]) == 145, "exchange journal dimensions") + edits = {} + for index, before, after in journal["edits"]: + need(type(index) is int and 0 <= index < TOTAL_ROWS, "exchange index range") + need(index not in edits, "duplicate exchange index") + need(before == lifted_row(base, index), "exchange preimage differs from lifted source row") + need(len(after) == 6 and all(type(value) is int for value in after), "exchange row shape") + need(after[:2] == before[:2], "exchange changes call or helper identity") + edits[index] = after + + header = { + "columns": ["time", "helper", "owner_replica", "child", "port", "offset"], + "dispatch_overrides": [], + } + prefix = json.dumps(header, sort_keys=True, separators=(",", ":"))[:-1] + ',"rows":[' + digest = hashlib.sha256(prefix.encode("utf-8")) + projection = [] + for index in range(TOTAL_ROWS): + row = edits[index] if index in edits else lifted_row(base, index) + encoded = ("," if index else "") + json.dumps(row, separators=(",", ":")) + digest.update(encoded.encode("utf-8")) + if row[2] == 0 and row[4] == 0: + projection.append(row) + digest.update(b"]}\n") + need(digest.hexdigest() == FILL_SHA256, "complete canonical PR3148 fill digest") + need(len(projection) == 30, "owner-0, port-0 hosted role count") + return projection + + +def parity(left, right): + return (int(left) & int(right)).bit_count() & 1 + + +def gaussian_product(left, right): + a, b = left + c, d = right + return (a * c - b * d, a * d + b * c) + + +def gaussian_sum(values): + real = imag = 0 + for a, b in values: + real += a + imag += b + return (real, imag) + + +def matrix_identity(size=8): + return [[ONE if row == col else ZERO for col in range(size)] for row in range(size)] + + +def matrix_product(left, right): + """Dense exact product over Z[i]; operators are composed by left multiplication.""" + size = len(left) + need(size == 8 and len(right) == size, "operator matrix dimension") + need(all(len(row) == size for row in left + right), "operator matrix is not square") + return [ + [ + gaussian_sum(gaussian_product(left[row][k], right[k][col]) for k in range(size)) + for col in range(size) + ] + for row in range(size) + ] + + +def i_power(exponent): + return ((1, 0), (0, 1), (-1, 0), (0, -1))[exponent % 4] + + +def phase_gate(stream, exponent): + gate = matrix_identity() + gate[stream][stream] = i_power(exponent) + return gate + + +def shear_gate(destination, source, coefficient): + need(destination != source, "shear source equals destination") + gate = matrix_identity() + gate[destination][source] = (coefficient, 0) + return gate + + +def apply_phase(operator, stream, exponent): + return matrix_product(phase_gate(stream, exponent), operator) + + +def apply_shear(operator, destination, source, coefficient): + return matrix_product(shear_gate(destination, source, coefficient), operator) + + +def build_context(rows, inputs): + phases = decode_json(inputs["DATA-PHASES.json"]) + recipes = phases["recipes"] + need(len(recipes) == 112 and all(recipe["port"] == p for p, recipe in enumerate(recipes)), + "port recipe indexing") + recipe = recipes[0] + + base_order = decode_json(inputs["ORDER.json"]) + dispatch_rows = decode_json(inputs["DISPATCH.json"]) + need(len(base_order) == len(dispatch_rows) == 666, "base chronology/dispatch size") + order = [[stage, replica + 74 * copy] for stage, replica in base_order for copy in range(10)] + dispatch = {(stage, replica): tag for stage, replica, tag in dispatch_rows} + need(len(dispatch) == 666, "duplicate dispatch key") + + providers = decode_json(inputs["PROVIDERS.json"]) + plan = decode_json(inputs["PLAN.json.gz"], compressed=True) + template = decode_json(inputs["TEMPLATE.json.gz"], compressed=True) + moves_doc = decode_json(inputs["PR3190-MOVES.json.gz"], compressed=True) + need(moves_doc["columns"] == ["replica", "port", "donor_child", "receiver_child", "axis"], + "PR3190 move columns") + need(len(moves_doc["moves"]) == 391964, "PR3190 move inventory") + moves = [ + (int(donor), int(receiver), int(axis)) + for replica, port, donor, receiver, axis in moves_doc["moves"] + if replica == 0 and port == 0 + ] + + used = defaultdict(set) + hosts = defaultdict(list) + for time, helper, owner, child, port, offset in rows: + need(owner == port == 0, "projection role destination") + need(0 <= time < len(order), "fill time outside lifted chronology") + stage, replica = order[time] + need((stage, replica % 74) in dispatch, "missing provider dispatch") + tag = dispatch[(stage, replica % 74)] + width = int(providers[tag]["widths"][helper]) + axes = [int(value) for value in recipe["idle_children"][child]["orthogonal_axes"]] + positions = set(range(offset, offset + width)) + need(offset >= 0 and offset + width <= len(axes), "hosted slice out of bounds") + need(not (used[child] & positions), "overlapping hosted slice") + used[child].update(positions) + stream = 2 * int(plan["pairs"][str(child)]) + int(plan["sides"][str(child)]) + hosts[time].append((stream, axes[offset:offset + width])) + + residual = {} + for child, entry in enumerate(recipe["idle_children"]): + need(used[child] == set(range(len(used[child]))), "hosted axes are not a compact prefix") + residual[child] = [ + int(value) for position, value in enumerate(entry["orthogonal_axes"]) + if position not in used[child] + ] + + blocks = {} + active_stage = None + skipped = Counter() + for event in template["execution_schedule"]: + kind = event["kind"] + if kind in ("bank_padding_cover_sweep", "translate_every_live_family"): + skipped[kind] += 1 + continue + if kind == "local_cover_sweep": + active_stage = int(event["stage"]) + need(active_stage not in blocks, "duplicate local stage") + blocks[active_stage] = [] + blocks[active_stage].append(event) + continue + need(active_stage is not None, "data event precedes first local stage") + blocks[active_stage].append(event) + need(sorted(blocks) == list(range(9)), "expected nine ordered local stage blocks") + local = { + int(event["stage"]): event + for event in template["recipe"] + if event["kind"] == "local" + } + need(set(local) == set(range(9)), "local recipe stage inventory") + + return { + "recipe": recipe, + "plan": plan, + "order": order, + "hosts": hosts, + "residual": residual, + "moves": moves, + "blocks": blocks, + "local": local, + "skipped": dict(skipped), + } + + +def translations_for_rule(recipe, donor, receiver): + values = [] + for stage in recipe["stage_alignment"]: + values.extend(int(stage[key]) for key in ("entry_X", "exit_X", "entry_Y", "exit_Y")) + values.append(int(recipe["terminal_Y_translation"])) + values.extend(int(recipe["idle_children"][child]["translation_after"]) for child in (donor, receiver)) + return values + + +def transfer_axes(recipe, original, moves): + current = {child: list(axes) for child, axes in original.items()} + for donor, receiver, axis in moves: + need(donor != receiver, "self transfer") + need(axis in current[donor], "axis not in donor residual") + need(all(parity(axis, vector) == 0 for vector in current[receiver]), + "axis fails receiver orthogonality") + need(all(parity(axis, vector) == 0 for vector in translations_for_rule(recipe, donor, receiver)), + "axis fails translation rule") + current[donor].remove(axis) + current[receiver].append(axis) + for axes in current.values(): + need(len(axes) <= 51, "rank cap 51") + need( + all(parity(left, right) == int(i == j) + for i, left in enumerate(axes) + for j, right in enumerate(axes)), + "transferred axes are not orthonormal", + ) + need( + Counter(axis for axes in original.values() for axis in axes) + == Counter(axis for axes in current.values() for axis in axes), + "transfer changes the full axis multiset", + ) + return current + + +def stage_blocks_apply(operator, event, context, residual, character): + kind = event["kind"] + recipe = context["recipe"] + qbit = parity(character, recipe["q"]) + if kind == "local_cover_sweep": + stage = int(event["stage"]) + local = context["local"][stage] + x = 2 * int(local["pair"]) + y = x + 1 + for side, stream in enumerate((x, y)): + if stage == 0: + before = (1 - side) * qbit + else: + lower = (1 << (9 + 8 * (stage - 1))) - 1 + before = (character & lower).bit_count() - side * qbit + operator = apply_phase(operator, stream, -before) + if local["reverse"]: + operator = apply_shear(operator, x, y, -1) + else: + operator = apply_shear(operator, y, x, 1) + for side, stream in enumerate((x, y)): + lower = (1 << (9 + 8 * stage)) - 1 + after = (character & lower).bit_count() - side * qbit + operator = apply_phase(operator, stream, after) + return operator + + if kind == "idle_cover_sweep": + for side, child_value in enumerate(event["child_indices"]): + child = int(child_value) + exponent = sum(parity(character, axis) for axis in residual[child]) + exponent += 2 * parity(character, recipe["idle_children"][child]["translation_after"]) + operator = apply_phase(operator, 2 * int(event["pair"]) + side, exponent) + return operator + + if kind == "bridge": + destination = int(event["dst"]) + source = int(event["src"]) + coefficient = int(event["coefficient"]) + operator = apply_shear(operator, 2 * destination, 2 * source, coefficient) + operator = apply_shear(operator, 2 * source + 1, 2 * destination + 1, -coefficient) + return operator + + if kind == "terminal_Y_translations": + for pair in event["pairs"]: + operator = apply_phase(operator, 2 * int(pair) + 1, 2 * qbit) + return operator + + if kind == "terminal": + gate = matrix_identity() + for pair in range(int(event["pairs"])): + even, odd = 2 * pair, 2 * pair + 1 + gate[even] = [ONE if column == odd else ZERO for column in range(8)] + gate[odd] = [(-1, 0) if column == even else ZERO for column in range(8)] + return matrix_product(gate, operator) + + raise VerificationError("unknown physical data event: " + kind) + + +def replay(context, residual, character): + need(type(character) is int and 0 <= character < (1 << 73), "Fourier character range") + operator = matrix_identity() + for time, (stage, replica) in enumerate(context["order"]): + for stream, axes in context["hosts"].get(time, ()): + exponent = sum(parity(character, axis) for axis in axes) + operator = apply_phase(operator, stream, exponent) + if replica == 0: + for event in context["blocks"][stage]: + operator = stage_blocks_apply(operator, event, context, residual, character) + return operator + + +def scalar_operator(character): + scalar = i_power(character.bit_count()) + return [[scalar if row == col else ZERO for col in range(8)] for row in range(8)] + + +def differences(before, after): + return [ + (row, col, before[row][col], after[row][col]) + for row in range(8) + for col in range(8) + if before[row][col] != after[row][col] + ] + + +EXPECTED = { + "14->8": [ + (3, 1, (0, 0), (-1, 1)), + (3, 3, (0, 1), (1, 0)), + (5, 1, (0, 0), (-1, 1)), + (5, 3, (0, 0), (1, -1)), + (6, 6, (0, 1), (-1, 0)), + ], + "15->10": [ + (0, 2, (0, 0), (-1, 1)), + (0, 4, (0, 0), (-1, 1)), + (2, 2, (0, 1), (1, 0)), + (2, 4, (0, 0), (1, -1)), + (7, 7, (0, 1), (-1, 0)), + ], +} + + +def main(): + inputs = pinned_inputs() + rows = authenticated_port_zero(inputs["BASE-FILL.json.gz"], inputs["EXCHANGE.json"]) + context = build_context(rows, inputs) + character = AXIS72 + moves = context["moves"] + need(moves == [(14, 8, AXIS72), (15, 10, AXIS72)], "literal port-0 moves") + residual = context["residual"] + need(residual[14] == residual[15] == [AXIS72], "donor rank-1 hosted remainders") + need( + [2 * int(context["plan"]["pairs"][str(c)]) + + int(context["plan"]["sides"][str(c)]) + for c in (14, 15, 8, 10)] == [2, 3, 6, 7], + "physical stream mapping", + ) + + baseline = replay(context, residual, character) + need(baseline == scalar_operator(character), "baseline is not i times the identity") + after_by_move = {} + for donor, receiver, axis in moves: + label = f"{donor}->{receiver}" + moved = transfer_axes(context["recipe"], residual, [(donor, receiver, axis)]) + after = replay(context, moved, character) + after_by_move[label] = differences(baseline, after) + need(after_by_move[label] == EXPECTED[label], "isolated move matrix differs: " + label) + + joint_axes = transfer_axes(context["recipe"], residual, moves) + joint = differences(baseline, replay(context, joint_axes, character)) + expected_joint = sorted(EXPECTED["14->8"] + EXPECTED["15->10"], key=lambda item: (item[0], item[1])) + need(joint == expected_joint, "joint changes are not the disjoint union of isolated changes") + need(len(after_by_move["14->8"]) == len(after_by_move["15->10"]) == 5, "isolated change counts") + need(len(joint) == 10, "joint change count") + + empty = transfer_axes(context["recipe"], residual, []) + need(replay(context, empty, character) == baseline, "empty overlay control") + + for label, invalid in ( + ("axis outside donor remainder", [(14, 8, 1 << 71)]), + ("self transfer", [(14, 14, AXIS72)]), + ): + try: + transfer_axes(context["recipe"], residual, invalid) + except VerificationError: + pass + else: + raise VerificationError("failure control accepted: " + label) + + print( + "PASS_INDEPENDENT_PR3190_PORT0 " + "fill_rows=2717280 role_rows=30 moves=2 character=2^72 " + "baseline=iI8 isolated_changes=5+5 joint_changes=10 controls=3" + ) + + +if __name__ == "__main__": + main() From 96dc924dde876b6b509ce49cab62700ef0d7641a Mon Sep 17 00:00:00 2001 From: Cinna Davis <1337isnot1337@users.noreply.github.com> Date: Sat, 17 Oct 2026 16:38:26 -0500 Subject: [PATCH 2/2] Pin move witness to PR branch history --- .../pr3190-independent-operator-audit/README.md | 2 +- .../pr3190-independent-operator-audit/SOURCES.json | 13 ++++++++----- .../pr3190-independent-operator-audit/VERIFY.json | 1 + .../pr3190-independent-operator-audit/verify.py | 7 +++++++ 4 files changed, 17 insertions(+), 6 deletions(-) diff --git a/research/pr3190-independent-operator-audit/README.md b/research/pr3190-independent-operator-audit/README.md index 08d6692875..9d6d36a99f 100644 --- a/research/pr3190-independent-operator-audit/README.md +++ b/research/pr3190-independent-operator-audit/README.md @@ -22,7 +22,7 @@ It does **not** establish that every move in #3190 fails, that every port or rep ## Inputs, method, and assumptions -The package pins eight base data inputs and the task-catalogue/selected-result provenance records in [SOURCES.json](SOURCES.json); its nine offline copies are separately bound by SHA256 and Git blob IDs in the retained-file inventory. The selected base is main commit 463113d675af7410ac91d53a4fed51ec6494eb9a. The move-list Git blob is e8401e6d138d9fcf9725530e7ae36d2db1386bda, pinned in the source archive at commit 7f4ba27cb43666e974e369350bbc47dab0ce0456. GitHub reports the same blob at current PR #3190 head 5e4a3235169edddd033889da4e9f47635ff50c3e, and PR #3296 carries the identical vendored bytes. +The package pins eight base data inputs and the task-catalogue/selected-result provenance records in [SOURCES.json](SOURCES.json); its nine offline copies are separately bound by SHA256 and Git blob IDs in the retained-file inventory. The selected base is main commit 463113d675af7410ac91d53a4fed51ec6494eb9a. The move-list Git blob is e8401e6d138d9fcf9725530e7ae36d2db1386bda, pinned locally to parent package commit 32a3fa83aaa639570db53beb381016711aa6f5b5 so the repository replay can resolve it from the PR branch history. Before opening this PR, GitHub's blob API reported the same object ID at PR #3190 head 5e4a3235169edddd033889da4e9f47635ff50c3e, path research/rank7-idle-remainder-donors-t740/MOVES.json.gz; PR #3296 carries the identical bytes. SOURCES.json retains both the local pin and the observed upstream head/path/blob. The verifier does not import PR #3187's algebra.py or source.py, nor PR #3296's obstruction.py. It checks every vendored SHA256, reconstructs the 2,717,280-row fill from its base rows and exchange journal, verifies the canonical fill digest, and independently projects the 30 owner-0/port-0 hosted rows. It then applies the declared per-axis rule, rank cap, and orthonormality checks, and composes the event gates as dense 8×8 matrices over the Gaussian integers. The exact 5+5 entries above are compared, including an empty-overlay positive control and invalid-axis/self-transfer rejection controls. diff --git a/research/pr3190-independent-operator-audit/SOURCES.json b/research/pr3190-independent-operator-audit/SOURCES.json index 65217ab862..d9dabdb631 100644 --- a/research/pr3190-independent-operator-audit/SOURCES.json +++ b/research/pr3190-independent-operator-audit/SOURCES.json @@ -21,11 +21,11 @@ "sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" }, { - "path": "research/pr3190-remainder-stream-obstruction/vendor/PR3190-MOVES.json.gz", + "path": "research/pr3190-independent-operator-audit/vendor/PR3190-MOVES.json.gz", "usage": "provenance", "git_blob": "e8401e6d138d9fcf9725530e7ae36d2db1386bda", "sha256": "c76310bc9bdb7e693bdb8910e7ea084354251110a02ee629e3e8aad7418b695f", - "pin": "head:7f4ba27cb43666e974e369350bbc47dab0ce0456:research/pr3190-remainder-stream-obstruction/vendor/PR3190-MOVES.json.gz" + "pin": "head:32a3fa83aaa639570db53beb381016711aa6f5b5:research/pr3190-independent-operator-audit/vendor/PR3190-MOVES.json.gz" }, { "path": "research/rank7-idle-star-stream-obstruction/vendor/BASE-FILL.json.gz", @@ -115,10 +115,13 @@ }, { "local_path": "vendor/PR3190-MOVES.json.gz", - "head": "7f4ba27cb43666e974e369350bbc47dab0ce0456", - "upstream_path": "research/pr3190-remainder-stream-obstruction/vendor/PR3190-MOVES.json.gz", + "head": "32a3fa83aaa639570db53beb381016711aa6f5b5", + "upstream_path": "research/pr3190-independent-operator-audit/vendor/PR3190-MOVES.json.gz", "sha256": "c76310bc9bdb7e693bdb8910e7ea084354251110a02ee629e3e8aad7418b695f", - "git_blob": "e8401e6d138d9fcf9725530e7ae36d2db1386bda" + "git_blob": "e8401e6d138d9fcf9725530e7ae36d2db1386bda", + "origin_head": "5e4a3235169edddd033889da4e9f47635ff50c3e", + "origin_path": "research/rank7-idle-remainder-donors-t740/MOVES.json.gz", + "origin_git_blob": "e8401e6d138d9fcf9725530e7ae36d2db1386bda" }, { "local_path": "vendor/PROVIDERS.json", diff --git a/research/pr3190-independent-operator-audit/VERIFY.json b/research/pr3190-independent-operator-audit/VERIFY.json index b47dbcb582..92d7b6a708 100644 --- a/research/pr3190-independent-operator-audit/VERIFY.json +++ b/research/pr3190-independent-operator-audit/VERIFY.json @@ -5,6 +5,7 @@ "requirements": [], "inputs": [ "research/adaptive-kernel-demotion/inputs/DATA-PHASES.json", + "research/pr3190-independent-operator-audit/vendor/PR3190-MOVES.json.gz", "research/rank7-idle-star-stream-obstruction/vendor/BASE-FILL.json.gz", "research/rank7-idle-star-stream-obstruction/vendor/EXCHANGE.json", "research/rank7-idle-star-stream-obstruction/vendor/PROVIDERS.json", diff --git a/research/pr3190-independent-operator-audit/verify.py b/research/pr3190-independent-operator-audit/verify.py index c30cf2ead2..1070564248 100644 --- a/research/pr3190-independent-operator-audit/verify.py +++ b/research/pr3190-independent-operator-audit/verify.py @@ -40,6 +40,13 @@ def pinned_inputs(): blob = b"blob " + str(len(raw)).encode("ascii") + b"\0" + raw actual_blob = hashlib.sha1(blob, usedforsecurity=False).hexdigest() need(actual_blob == row["git_blob"], "retained Git blob mismatch: " + row["local_path"]) + if path.name == "PR3190-MOVES.json.gz": + need( + row.get("origin_head") == "5e4a3235169edddd033889da4e9f47635ff50c3e" + and row.get("origin_path") == "research/rank7-idle-remainder-donors-t740/MOVES.json.gz" + and row.get("origin_git_blob") == actual_blob, + "upstream PR3190 move-list provenance record", + ) upstream = source_rows.get(row["upstream_path"]) need(upstream is not None, "retained input lacks a source row: " + row["upstream_path"]) need(upstream["sha256"] == row["sha256"] and upstream["git_blob"] == row["git_blob"],

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