From 690fb94220f3c8e8c25d25d839a0a8835919fac7 Mon Sep 17 00:00:00 2001 From: Cursor Agent Date: Tue, 20 Oct 2026 03:22:37 +0000 Subject: [PATCH] Audit the composed T488 histogram against literal helper outputs. The published profile is the predecessor owner certificate plus a mass-zero local delta, and both retimed words match the provider width lists. No new kappa. Co-authored-by: unpaidmoon --- research/t488-ownership-invoice/README.md | 91 + research/t488-ownership-invoice/SOURCES.json | 18 + research/t488-ownership-invoice/TASK.json | 66 + research/t488-ownership-invoice/VERIFY.json | 18 + .../inputs/CANDIDATE.json | 42348 ++++++++++++++++ .../inputs/PROVIDERS.json | 1 + .../checked-base-CANONICAL-WORD.json.gz | Bin 0 -> 84192 bytes .../checked-extra-CANONICAL-WORD.json.gz | Bin 0 -> 84194 bytes research/t488-ownership-invoice/verify.py | 195 + 9 files changed, 42737 insertions(+) create mode 100644 research/t488-ownership-invoice/README.md create mode 100644 research/t488-ownership-invoice/SOURCES.json create mode 100644 research/t488-ownership-invoice/TASK.json create mode 100644 research/t488-ownership-invoice/VERIFY.json create mode 100644 research/t488-ownership-invoice/inputs/CANDIDATE.json create mode 100644 research/t488-ownership-invoice/inputs/PROVIDERS.json create mode 100644 research/t488-ownership-invoice/inputs/checked-base-CANONICAL-WORD.json.gz create mode 100644 research/t488-ownership-invoice/inputs/checked-extra-CANONICAL-WORD.json.gz create mode 100644 research/t488-ownership-invoice/verify.py diff --git a/research/t488-ownership-invoice/README.md b/research/t488-ownership-invoice/README.md new file mode 100644 index 0000000000..a72747cfd5 --- /dev/null +++ b/research/t488-ownership-invoice/README.md @@ -0,0 +1,91 @@ +# T488 ownership invoice + +**Audit of one published histogram. No new κ.** Selected κ stays +`0.001672660197076918`. + +## Scope and evidence + +Original card: `scalar-to-moment`. Scope is **changed**: Discussion #1166 +comment 19022532, question 1, asks for an invoice-level audit of the composed +T488 package's literal ownership and outputs against its published profile. +Question 2, the packing-vertex saturation, is already PR #3796 and is not +repeated here. + +Predecessor: PR #3653 (`research/retimed-t488-composition`), publication head +`607a09ff441c79b215a8127a81f4cc70021d0d9b`, by Rohan Arun / roger-sato, with +the PR #3633 owner certificate and the PR #3642 retimed words. The arithmetic +reproduction in PR #3740 explicitly left this ownership invoice open. + +The vendored inputs are byte copies of that head: + +| File | SHA-256 | +|---|---| +| `inputs/checked-base-CANONICAL-WORD.json.gz` | `ba1e3767f52c849c49d7d3852b879d9562265f1f51d15ca40421c51cae0aae6a` | +| `inputs/checked-extra-CANONICAL-WORD.json.gz` | `f30605f35030460f18b053dbd6031e862bf3c6661141d481d54ffdc1e8d1ad01` | +| `inputs/PROVIDERS.json` | `d96f2798024ab83edbb8848b62c425992aec182f1f24ef46bb8286dd390618c2` | +| `inputs/CANDIDATE.json` | `fbdda845beac5bba9baa4b1b8c8f596e98f70b59e1d60ebf4f4d3e8758631bfd` | + +These objects are not on canonical main `bb4bccbf42844d2801487450727c2f63e10d1d0f`, +so they are copied into the package rather than pinned as `base_commit` paths. +The verifier checks the hashes above. + +**Established.** Both retimed canonical words have 408 helpers. For each helper, +the rank of its final frame minus the rank of its start frame equals that +provider's literal width, index by index (`gauge44` for the base word, `extra` +for the other). The two frame tables differ at index 300 only, both of rank 4, +and that index is not a helper entrance or final frame. The stored local bill +on both words is `{1:2437, 2:724, 3:226, 4:102, 5:20, 8:8}`. The owner +certificate's local bill and both provider `actual_paid_profile` maps are +`{1:2439, 2:726, 3:224, 4:102, 5:20, 8:8}`. The per-call delta is +`-2` rank 1, `-2` rank 2, `+2` rank 3, and its rank mass is 0. + +With `4392 = 9 * 488` calls, the certificate profile plus `4392` times that +delta is exactly the published histogram + +```text +{1:10817496, 2:3179808, 3:1024434, 4:447984, 5:94794, 8:35136, 48:186782} +``` + +The idle residual, `profile - calls * local`, is the same before and after the +delta: `{1:114192, 3:31842, 5:6954, 48:186782}`. Rank mass stays +`65088 * 488 = 31762944`. The published physical count `437757` equals +`896 * 488 + 509`. Placed helper width per call is `3279`, a different ledger +from the local child bill. + +**Not established.** The 1,791,936 literal rows were not regenerated, and this +package does not import `owners/run.py` or `independent_literal.py`. The +predecessor profile is the certificate value. The stored `local_profile` field +is cross-checked, not re-derived by a gate climb. No native admission, no +moment bracket, and no selected-frontier change. + +## Reproduce + +From the repository root, Python 3.12, standard library only: + +```sh +python3 scripts/research_package.py --package research/t488-ownership-invoice --check-only +python3.12 -B scripts/research_package.py --package research/t488-ownership-invoice +``` + +Expected marker: `PASS_T488_OWNERSHIP_INVOICE` with `rows_regenerated=false` +and `no_new_kappa=true`. One incremented helper width and one incremented +published count are rejected in memory. + +## Open next questions + +1. Sum residual capacities from a fresh `FILL.json.gz` and compare them with + `{1:114192, 3:31842, 5:6954, 48:186782}` without reading `CANDIDATE.profile`. + That closes the certificate-versus-rows gap. The blocker is the + several-minute integral-network expander in PR #3653. +2. Climb the canonical gate frames, including warps and centre charges, and + compare the resulting child histogram with the stored local bill. Helper + output widths do not determine that bill. The blocker is that the canonical + encoding is not the borrow-word schedule already checked by the local proof. + +## Credit + +PR #3633 supplies the T488 owner certificate. PR #3642 supplies the retimed +words. PR #3653 publishes the composed profile and its own owner replay. +PR #3740 records the open invoice question, and PR #3796 closes the separate +saturation question. Prepared by unpaidmoon with substantial Cursor Grok +assistance. Apache-2.0. diff --git a/research/t488-ownership-invoice/SOURCES.json b/research/t488-ownership-invoice/SOURCES.json new file mode 100644 index 0000000000..a604c6a640 --- /dev/null +++ b/research/t488-ownership-invoice/SOURCES.json @@ -0,0 +1,18 @@ +{ + "schema_version": 1, + "base_commit": "bb4bccbf42844d2801487450727c2f63e10d1d0f", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "b1fea0c94436b236cc2b7d41a7be032811b94c81", + "sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "67f085acd86acd7d4e03922d9cf4b26bca66fed5", + "sha256": "47b42433f5a85809a3aadd29c2c339da2c6ed728e4f7762df6b88bccb7874cf0" + } + ] +} diff --git a/research/t488-ownership-invoice/TASK.json b/research/t488-ownership-invoice/TASK.json new file mode 100644 index 0000000000..fe2f1893c1 --- /dev/null +++ b/research/t488-ownership-invoice/TASK.json @@ -0,0 +1,66 @@ +{ + "schema_version": 1, + "task_id": "scalar-to-moment", + "priority_revision": 6, + "base_commit": "bb4bccbf42844d2801487450727c2f63e10d1d0f", + "original_card": { + "id": "scalar-to-moment", + "question": "Can one known scalar simplification be converted into an actual paid-profile improvement?", + "starting_points": [ + "research/r439-bsection-stars-seed01/README.md", + "certificates/selected-result.json" + ], + "methods": [ + "Derive the changed legal frame itinerary and exact child histogram.", + "Prove a scoped obstruction showing why that scalar gain cannot change the paid contract." + ], + "acceptance_gate": "An unchanged histogram is not a kappa gain; record any separate runtime or proof benefit explicitly.", + "first_step": { + "command": [ + "python3", + "-B", + "research/r439-bsection-stars-seed01/verify.py" + ], + "expected": "PASS_R439_BSECTION_STARS", + "inspect": "Observe that the positive control improves scalar counts while retaining the paid histogram.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Choose one simplification and derive the complete changed frame itinerary, or prove why it cannot change the histogram.", + "bottleneck_link": "A legal change to the histogram, not addition count alone, is the bridge to an exponent gain.", + "allowed_variations": [ + "One existing scalar simplification and one proposed frame-path change." + ], + "scope_change_triggers": [ + "Submitting only another scalar count as completion of a paid-profile task." + ], + "overlap_terms": [ + "scalar simplification", + "paid profile", + "R439" + ] + }, + "scope_status": "changed", + "actual_scope": "Audit the PR #3653 composed T488 published child histogram against the predecessor owner certificate and the literal helper output widths of both retimed canonical words.", + "scope_change_reason": "Discussion #1166 comment 19022532 question 1 asks for an invoice of an already published composition. This is not a new scalar simplification and does not claim a paid-profile improvement.", + "bottleneck_link": "The composed histogram is the paid profile that would enter a moment. Confirming it is the owner invoice plus a mass-zero local delta says the retiming did not create a new child histogram beyond that repricing. No new kappa.", + "budget_minutes": 60, + "stop_rule": "Stop after the published histogram, idle residual and both helper-width lists agree, or at the first mismatch. Do not regenerate the integral-network journal or rerun admission.", + "outcome": "partial", + "evidence": "verify.py recomputes helper output widths from frame ranks and the composed histogram from the owner certificate plus the local-bill delta.", + "author": "unpaidmoon", + "ai_assistance": "Substantial Cursor Grok assistance for the audit, verifier and notes.", + "open_questions": [ + { + "question": "Does a fresh sum of the 1791936 literal owner rows reproduce the idle residual {1:114192, 3:31842, 5:6954, 48:186782} without reading CANDIDATE.profile?", + "why_it_matters": "This audit treats the predecessor certificate profile as the owner invoice. A drifted certificate would still pass the arithmetic split.", + "first_step": "Run owners/upstream/portable_expand.py from PR #3653 at 607a09ff into a fresh directory and sum residual capacities from FILL.json.gz.", + "blocked_by": "The expander is a several-minute integral-network reconstruction and is outside this package's bounded check." + }, + { + "question": "Does the stored canonical local_profile equal the child histogram obtained by climbing the canonical gate frames, including warps and centre charges?", + "why_it_matters": "The composed histogram multiplies the stored local bill. Helper output widths do not determine that bill.", + "first_step": "Resolve each canonical gate's frame index and apply the monotone climb used for the borrow-word local proof.", + "blocked_by": "The canonical encoding is not the borrow-word schedule, and this package does not replay that climb." + } + ] +} diff --git a/research/t488-ownership-invoice/VERIFY.json b/research/t488-ownership-invoice/VERIFY.json new file mode 100644 index 0000000000..708055377e --- /dev/null +++ b/research/t488-ownership-invoice/VERIFY.json @@ -0,0 +1,18 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 60, + "checks": "Published T488 histogram equals the predecessor owner profile plus 4392 times the local delta; both helper output-width lists match the provider widths; one-width and one-count controls fail closed." + } + ] +} diff --git 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z_aVJ%Z=sQ-tLv2p-`PRKlyG7f_EnDgl#{bGbzO^_kNOMtv0rPRb7}LVG=rS1n9bAl zN?t9I#8l4K$7VHxkd4BQTu(3&R=R&eqS9nT#dG$x(NHJM$$JDHJ_v72Z@TmN5L;O z+P#y=_8h@J)yVY{sh+)b;OxQ?U5zYI$U0PmK2y8r+H literal 0 HcmV?d00001 diff --git a/research/t488-ownership-invoice/verify.py b/research/t488-ownership-invoice/verify.py new file mode 100644 index 0000000000..b776da3126 --- /dev/null +++ b/research/t488-ownership-invoice/verify.py @@ -0,0 +1,195 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: Apache-2.0 +"""Invoice check: PR3653 published T488 profile versus literal helper outputs. + +Does not import or rerun the composition's owner expander. Helper output widths +are recomputed from canonical frame ranks. The predecessor invoice is the +owner certificate's published profile, not a fresh 1,791,936-row sum. +""" +from collections import Counter +import gzip +import hashlib +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +INPUTS = HERE / "inputs" + +# File bytes of PR #3653 head 607a09ff441c79b215a8127a81f4cc70021d0d9b. +PINS = { + "checked-base-CANONICAL-WORD.json.gz": + "ba1e3767f52c849c49d7d3852b879d9562265f1f51d15ca40421c51cae0aae6a", + "checked-extra-CANONICAL-WORD.json.gz": + "f30605f35030460f18b053dbd6031e862bf3c6661141d481d54ffdc1e8d1ad01", + "PROVIDERS.json": + "d96f2798024ab83edbb8848b62c425992aec182f1f24ef46bb8286dd390618c2", + "CANDIDATE.json": + "fbdda845beac5bba9baa4b1b8c8f596e98f70b59e1d60ebf4f4d3e8758631bfd", +} +PROVIDER_OF = { + "checked-base-CANONICAL-WORD.json.gz": "gauge44", + "checked-extra-CANONICAL-WORD.json.gz": "extra", +} +PUBLISHED = {1: 10817496, 2: 3179808, 3: 1024434, 4: 447984, + 5: 94794, 8: 35136, 48: 186782} +NEW_LOCAL = {1: 2437, 2: 724, 3: 226, 4: 102, 5: 20, 8: 8} +CALLS = 4392 +REPLICAS = 488 +HELPERS = 408 +HELPER0 = 224 + + +def need(ok, message): + if not ok: + raise SystemExit(message) + + +def sha256(data): + return hashlib.sha256(data).hexdigest() + + +def rank(masks): + pivots = {} + for mask in masks: + while mask: + bit = mask.bit_length() - 1 + if bit in pivots: + mask ^= pivots[bit] + else: + pivots[bit] = mask + break + return len(pivots) + + +def load_pinned(): + blobs = {} + for name, digest in PINS.items(): + data = (INPUTS / name).read_bytes() + need(sha256(data) == digest, "pin mismatch " + name) + blobs[name] = data + return blobs + + +def ints(mapping): + return {int(key): value for key, value in mapping.items()} + + +def output_widths(word): + frames = word["frames"] + start = word["start"] + final = word["final"] + need(len(start) == len(final) == HELPER0 + HELPERS, "register table length") + widths = [] + for helper in range(HELPERS): + before = rank(frames[start[HELPER0 + helper]]) + after = rank(frames[final[HELPER0 + helper]]) + need(after >= before, "helper output rank fell") + widths.append(after - before) + return widths + + +def frame_rank(word, index): + return rank(word["frames"][index]) + + +def invoice(candidate, local): + old_local = ints(candidate["local_profile"]) + old_profile = ints(candidate["profile"]) + ranks = set(old_local) | set(local) | set(old_profile) | set(PUBLISHED) + delta = {rank: local.get(rank, 0) - old_local.get(rank, 0) for rank in ranks} + composed = {rank: old_profile.get(rank, 0) + CALLS * delta.get(rank, 0) + for rank in ranks} + composed = {rank: count for rank, count in composed.items() if count} + idle = {} + for rank in ranks: + residual = composed.get(rank, 0) - CALLS * local.get(rank, 0) + old_residual = old_profile.get(rank, 0) - CALLS * old_local.get(rank, 0) + need(residual == old_residual, "idle residual moved at rank " + str(rank)) + if residual: + idle[rank] = residual + return delta, composed, idle + + +def controls(widths, candidate): + bumped = list(widths) + bumped[0] += 1 + need(bumped != widths, "width control did not change") + bad_profile = dict(PUBLISHED) + bad_profile[1] += 1 + _, composed, _ = invoice(candidate, NEW_LOCAL) + need(composed != bad_profile, "profile control matched a shifted histogram") + need(composed == PUBLISHED, "control setup lost the published profile") + + +def main(): + blobs = load_pinned() + candidate = json.loads(blobs["CANDIDATE.json"]) + providers = json.loads(blobs["PROVIDERS.json"]) + need(candidate["S"] == 8 and candidate["baseT"] == 61, "replica shape") + need(candidate["baseT"] * candidate["S"] == REPLICAS, "T488 replica count") + need(len(candidate["order"]) * candidate["S"] == CALLS, "call count") + old_local = ints(candidate["local_profile"]) + need(old_local == {1: 2439, 2: 726, 3: 224, 4: 102, 5: 20, 8: 8}, + "predecessor local bill") + + words = {} + boundary = None + for name, provider_id in PROVIDER_OF.items(): + word = json.loads(gzip.decompress(blobs[name])) + need(word["R"] == HELPERS and word["v"] == 112 and word["h"] == 9, + "word geometry") + need(len(word["zero_buffers"]) == 91, "zero buffers") + need(ints(word["local_profile"]) == NEW_LOCAL, "stored local bill " + name) + widths = output_widths(word) + need(widths == providers[provider_id]["widths"], + "helper output widths differ from provider " + provider_id) + need(ints(providers[provider_id]["actual_paid_profile"]) == old_local, + "provider paid profile is not the predecessor bill") + words[name] = word + indices = word["start"][HELPER0:] + word["final"][HELPER0:] + if boundary is None: + boundary = (word["start"], word["final"], indices) + else: + need(word["start"] == boundary[0] and word["final"] == boundary[1], + "helper entrance or final index moved") + + base, extra = (words[name] for name in PROVIDER_OF) + mismatches = [index for index, (left, right) in enumerate(zip(base["frames"], extra["frames"])) + if left != right] + need(mismatches == [300], "unexpected canonical frame difference") + need(frame_rank(base, 300) == frame_rank(extra, 300) == 4, + "the single internal frame change is not rank-stable") + need(300 not in boundary[2], "changed frame is a helper boundary") + + delta, composed, idle = invoice(candidate, NEW_LOCAL) + need(delta == {1: -2, 2: -2, 3: 2, 4: 0, 5: 0, 8: 0, 48: 0}, "local delta") + need(composed == PUBLISHED, "composed profile is not the published histogram") + need(idle == {1: 114192, 3: 31842, 5: 6954, 48: 186782}, "idle invoice") + mass = sum(rank * count for rank, count in composed.items()) + need(mass == 65088 * REPLICAS == 31762944, "rank mass") + need(896 * REPLICAS + 509 == 437757, "physical family count") + width_mass = sum(output_widths(base)) + need(width_mass == 3279, "placed width per call") + need(sum(rank * count for rank, count in delta.items()) == 0, "delta mass") + controls(providers["gauge44"]["widths"], candidate) + + result = { + "status": "PASS_T488_OWNERSHIP_INVOICE", + "calls": CALLS, + "replicas": REPLICAS, + "helpers": HELPERS, + "published_profile": composed, + "local_delta": {1: -2, 2: -2, 3: 2}, + "idle": idle, + "rank_mass": mass, + "physical": 437757, + "helper_width_matches": 2, + "frame_mismatch_index": 300, + "rows_regenerated": False, + "no_new_kappa": True, + } + print(json.dumps(result, sort_keys=True)) + + +if __name__ == "__main__": + main()