Mister-Meeseeks · Oct 16, 2026 · Oct 15, 2026
diff --git a/research/overlap-batching-independent-audit/DEPENDENCIES.json b/research/overlap-batching-independent-audit/DEPENDENCIES.json
@@ -0,0 +1,23 @@
+[
+  {
+    "local_path": "sources/baseline.py",
+    "commit": "6ca6f217708b075814de409ad693fea9a2aaa760",
+    "path": "scripts/find_overlap.py",
+    "git_blob": "de0bca1f9e3ee60d0f1659a87af3869bae8c90da",
+    "sha256": "890902252573117253ecd536ea09a04115092c7255dfe2ebcf96f7e2d337fdbd"
+  },
+  {
+    "local_path": "sources/candidate.py",
+    "commit": "a459ee34fad0488691beba8441e0a31e103b91a5",
+    "path": "scripts/find_overlap.py",
+    "git_blob": "5bdee10f1a5b324088d16f5a271ed57cec83c6c8",
+    "sha256": "d17c67167d6654dbea9763cab21bf9b54e929aebfcf18c7ea1b7f170dc6db998"
+  },
+  {
+    "local_path": "sources/candidate-tests.py",
+    "commit": "a459ee34fad0488691beba8441e0a31e103b91a5",
+    "path": "tests/test_research_discussion_batching.py",
+    "git_blob": "1ad26efd6e72e8d07a60b544f1be8e02e219a5e7",
+    "sha256": "948415ece070e2e9f48c01499d618f60f29482318621b1ff0981643333312d59"
+  }
+]
diff --git a/research/overlap-batching-independent-audit/README.md b/research/overlap-batching-independent-audit/README.md
@@ -0,0 +1,154 @@
+# Independent pagination and failure audit of PR2493
+
+Arham Garg's [PR2493](https://github.com/CrocSwap/integer-mult-bounds/pull/2493)
+batches the initial Discussion/comment/reply pages used by the research overlap
+helper. This package independently corroborates its ordered-record and cache
+failure behavior at **`a459ee34fad0488691beba8441e0a31e103b91a5`**. It adds no
+collector implementation and claims no new measured speedup or multiplication
+result. The selected record and production helper are unchanged.
+
+The added evidence is a boundary cross-product and failure injection at every
+request position, rather than a second implementation of the batching change.
+The API model and direct record traversal here do not import the predecessor's
+test harness. Both harnesses use the usual static-graph/cursor simulation;
+this is separate implementation and expanded finite coverage, not an independent
+human review or a proof for every possible API response.
+
+## Exact sources
+
+[DEPENDENCIES.json](DEPENDENCIES.json) records commit, path, Git blob and SHA256
+for three byte-identical source exports:
+
+| Input | Commit | Purpose |
+| --- | --- | --- |
+| `sources/baseline.py` | `6ca6f217708b075814de409ad693fea9a2aaa760` | Current-main unbatched collector and cache implementation |
+| `sources/candidate.py` | `a459ee34fad0488691beba8441e0a31e103b91a5` | PR2493's actual collector and cache implementation |
+| `sources/candidate-tests.py` | same PR2493 head | Six original tests, replayed unchanged in fresh normal/optimized processes |
+
+All three inputs are authenticated before any target module executes. Sources
+are compiled directly from those bytes, avoiding saved bytecode. The audit
+needs neither Git nor network access. [SOURCES.json](SOURCES.json) retains main,
+the selected record and the assigned task as historical provenance. There are
+no live production-script pins to become stale if the batching change is adopted.
+The generic package metadata check uses repository history; the direct checker
+works in a Git-free package export.
+
+## Finite result and failure coverage
+
+The immutable corpus is generated from the full Cartesian product:
+
+- Discussion counts: `0, 1, 49, 50, 51, 101`.
+- Busy-thread comment counts and selected-comment reply counts, independently:
+  `0, 1, 4, 5, 6, 99, 100, 101, 104, 105, 106, 205`.
+- Both the first and last Discussion are busy; other threads have small pages.
+  Reply-heavy comments occur at indices 0, 5 and the last comment. This exercises
+  replies delivered with initial and continuation comment pages.
+
+The 864 parameter tuples yield **710 distinct graphs** after exact canonical
+deduplication. Both collectors match the direct, cursor-free traversal on every
+field and record position: **2,062,777 records per collector**. Equal body text
+on different nodes prevents text-only comparison from hiding an order/identity
+error. Unicode newline characters are retained. Opaque cursors encode their
+connection owner and reject reuse in another thread or comment.
+
+On the separate 51-thread / 205-comment / 205-reply busy fixture, every actual
+request position is failed with a GraphQL-style exception, transport exception,
+or malformed missing-connection response. Each is tested both with and without
+previous complete evidence:
+
+| Collector | Request positions | Failure cases |
+| --- | ---: | ---: |
+| Main baseline | 135 | 810 |
+| PR2493 | 84 | 504 |
+
+All **1,314 cases** retain a warning. With old evidence, its complete source,
+records and original timestamp survive in memory and on disk. On a first fetch,
+no partial Discussion source is admitted. The separately fetched PR source may
+still refresh, matching the existing per-source cache contract.
+
+Three actual collector mutants stop listing, comment or reply pagination early;
+the direct traversal rejects all three. Three modified source exports fail
+authentication. The candidate's six original tests pass in both normal and
+optimized subprocesses. [RESULT.json](RESULT.json) is the deterministic receipt;
+normal verification compares it without writing package files.
+
+For a fixed 101-small-thread corpus, requests fall from **104 to 3** with equal
+records. This is a finite request-count corroboration. It is not a new network
+timing measurement, nor a claim that busy threads always use fewer requests.
+Arham Garg's existing timing evidence retains its own corpus and environment.
+
+## Reproduce
+
+Standard-library Python 3.12, from the repository root:
+
+```sh
+python3.12 -I -B scripts/research_package.py --package research/overlap-batching-independent-audit
+```
+
+The registered commands run the complete audit normally and with `-O`. They
+also replay the predecessor suite in both modes. To check the exact pinned
+package without Git or the repository:
+
+```sh
+python3.12 -I -B research/overlap-batching-independent-audit/verify.py
+python3.12 -I -O -B research/overlap-batching-independent-audit/verify.py
+```
+
+Expected: `PASS_OVERLAP_BATCHING_INDEPENDENT_AUDIT`, 710 static graphs, and the
+counts above. `--write` explicitly regenerates only this package's receipt.
+On restricted Windows shells, set `TMP` and `TEMP` to an existing writable
+workspace directory before running; the checker uses temporary fixtures.
+
+Executed on Windows x64, 2026-10-15: the registered CPython **3.12.14** replay
+passes both commands. An optimized Git-free export also passes from an unrelated
+directory with spaces, leaving all ten package files byte-identical. The initial
+direct CPython **3.14.6** audit passes too. These are local assisted checks; no
+hosted-CI or independent human result is claimed. TASK.json records the commands,
+environment and final freshness check.
+
+## Limits and integration handoff
+
+This checks finite static API fixtures and specified failures. It does not prove
+atomicity under concurrent board edits, certify GitHub availability/rate limits,
+recheck every future source head, or provide a live timing ratio. Authenticated
+source exports establish which code ran, not a general trust guarantee for code.
+
+PR2493's two reported frozen-dependent failures reproduce on this untouched
+main base:
+
+```sh
+python3.12 -B scripts/research_package.py --package research/overlap-path-index --check-only
+# source blob provenance mismatch: scripts/find_overlap.py
+python3.12 -B scripts/research_package.py --package research/research-package-pin-batching --check-only
+# working source drift: tests/test_research_onboarding.py
+```
+
+They remain unresolved. This package does not edit frozen evidence, adopt the
+collector, resolve the wider [PR2255 live-pin audit](https://github.com/CrocSwap/integer-mult-bounds/pull/2255),
+or claim those dependent replays passed. Supplier/native/hosting/precision and
+selected full cold replays are unrelated to this scoped audit and were not run.
+
+## Open next questions
+
+Can PR2493 be integrated with an explicit disposition for the two dependent
+failures? This matters because passing the collector tests alone does not admit
+frozen package changes. Reproduce the two commands above and record a maintainer
+source-binding decision. That policy/integration decision is the blocker; more
+static pagination examples are not proposed as a prerequisite. The structured
+question, original task and scope change are in [TASK.json](TASK.json).
+
+## Credit and coordination
+
+**Arham Garg / @arhamgarg** owns PR2493's batching change, six tests, benchmark
+and prior coverage argument. **Douglas Colkitt** and the overlap-tool contributors
+own the original record schema, complete pagination and cache implementation;
+**Nick Petalas** supplied the retained CLI-pagination compatibility work.
+**Aaron Wang / PR2255** supplied the existing broader live-pin audit.
+Their source headers and Apache-2.0 attribution are retained verbatim.
+
+Prepared for **Arham Tahir** with substantial **OpenAI Codex** assistance in
+analysis, implementation, verification and writing. No subagents, independent
+human review or formal-kernel result is claimed. New material is Apache-2.0.
+The canonical investigation is [Discussion2789](https://github.com/CrocSwap/integer-mult-bounds/discussions/2789).
+The initial scalar-to-moment assignment and explicit change to this side audit
+are preserved in TASK.json; there is no paid-profile or kappa improvement claim.
diff --git a/research/overlap-batching-independent-audit/RESULT.json b/research/overlap-batching-independent-audit/RESULT.json
@@ -0,0 +1,56 @@
+{
+  "status": "PASS_OVERLAP_BATCHING_INDEPENDENT_AUDIT",
+  "parameter_cases": 864,
+  "static_graph_cases": 710,
+  "records_per_collector": 2062777,
+  "boundary_sizes": [
+    0,
+    1,
+    4,
+    5,
+    6,
+    99,
+    100,
+    101,
+    104,
+    105,
+    106,
+    205
+  ],
+  "thread_counts": [
+    0,
+    1,
+    49,
+    50,
+    51,
+    101
+  ],
+  "small_thread_requests": {
+    "baseline": 104,
+    "candidate": 3
+  },
+  "fault_injection": {
+    "baseline": {
+      "request_positions": 135,
+      "failure_cases": 810
+    },
+    "candidate": {
+      "request_positions": 84,
+      "failure_cases": 504
+    }
+  },
+  "source_corruptions_rejected": 3,
+  "truncation_mutants": {
+    "stop_comments": "ordered record mismatch",
+    "stop_replies": "ordered record mismatch",
+    "stop_listing": "ordered record mismatch"
+  },
+  "predecessor_suite": {
+    "tests": 6,
+    "modes": [
+      "normal",
+      "optimized"
+    ]
+  },
+  "scope": "Finite static-API and cache-failure audit; no live timing, adoption or kappa claim."
+}
diff --git a/research/overlap-batching-independent-audit/SOURCES.json b/research/overlap-batching-independent-audit/SOURCES.json
@@ -0,0 +1,24 @@
+{
+  "schema_version": 1,
+  "base_commit": "6ca6f217708b075814de409ad693fea9a2aaa760",
+  "files": [
+    {
+      "path": "certificates/selected-result.json",
+      "usage": "provenance",
+      "git_blob": "ae6a99f28aa468649eb66a361e764d769363bf11",
+      "sha256": "10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32"
+    },
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "usage": "provenance",
+      "git_blob": "889b95d936746df124872133ae1e7cc339adcb92",
+      "sha256": "7d185cd8c2af35988d638d969748ad7b670f902606444dbfc748e4402c340df6"
+    },
+    {
+      "path": "scripts/find_overlap.py",
+      "usage": "provenance",
+      "git_blob": "de0bca1f9e3ee60d0f1659a87af3869bae8c90da",
+      "sha256": "890902252573117253ecd536ea09a04115092c7255dfe2ebcf96f7e2d337fdbd"
+    }
+  ]
+}
diff --git a/research/overlap-batching-independent-audit/TASK.json b/research/overlap-batching-independent-audit/TASK.json
@@ -0,0 +1,134 @@
+{
+  "schema_version": 1,
+  "task_id": "scalar-to-moment",
+  "priority_revision": 5,
+  "base_commit": "6ca6f217708b075814de409ad693fea9a2aaa760",
+  "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": "Independent finite static-API, complete-record and every-request-position cache-failure audit of PR2493 at a459ee34fad0488691beba8441e0a31e103b91a5.",
+  "scope_change_reason": "The scalar-to-moment positive control passed and nearby R439 frame questions were already covered. The mandatory live overlap scan exposed a coordination bottleneck already addressed by PR2493; the bounded contribution is independent verification of that existing proposal, not another batching implementation or mathematical mechanism.",
+  "bottleneck_link": "Side result in review tooling: independently test the complete-overlap evidence used to avoid duplicated research, including preservation of stale complete evidence on every injected page failure. This is not a paid-profile gain.",
+  "budget_minutes": 60,
+  "stop_rule": "One pinned collector proposal, a Cartesian threshold fixture, exhaustive request-position faults on one busy board, inherited tests, source controls and a public handoff. No collector edits, frozen-source repinning, cache redesign or family expansion.",
+  "outcome": "completed",
+  "evidence": "RESULT.json and verify.py: 710 distinct static graphs, 2062777 ordered records per collector, 1314 fault cases, three source corruptions and three truncation mutants; six predecessor tests normally and with -O.",
+  "author": "Arham Tahir",
+  "ai_assistance": "Substantial OpenAI Codex assistance in source inspection, harness implementation, verification and writing. No subagents or independent human review.",
+  "open_questions": [
+    {
+      "question": "Can PR2493 be integrated with an explicit disposition for its two frozen dependent-package failures?",
+      "why_it_matters": "The source-bound collector passes this finite audit, but successful record collection does not resolve frozen provenance and live-source drift.",
+      "first_step": "Reproduce the two check-only failures listed in README.md, then record the maintainer-approved source-binding decision before collector adoption.",
+      "blocked_by": "Maintainer integration and source-binding policy; no authorization to edit frozen evidence is inferred."
+    }
+  ],
+  "selection_seed": "8e3fd61aeaea48140a3be0983b0943d3",
+  "selection_scope_key": "9dbfd943f23ef75bae31",
+  "track": "incumbent-optimization; explicit changed scope to independent tooling verification",
+  "discussion": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2789",
+  "overlap": {
+    "entry_open_prs": 719,
+    "entry_discussion_records": 1425,
+    "open_prs_fetched_at": "2026-10-15T21:52:41.682513+00:00",
+    "discussions_fetched_at": "2026-10-15T21:55:43.603886+00:00",
+    "complete_pagination": true,
+    "nearest_work": [
+      {
+        "pr": 2493,
+        "head": "a459ee34fad0488691beba8441e0a31e103b91a5",
+        "contributor": "Arham Garg / arhamgarg",
+        "added_value": "Independent threshold cross-product and all-request-position fault audit; batching implementation, six existing tests and measured speedup belong to this predecessor."
+      },
+      {
+        "pr": 2255,
+        "head": "15836362a3cf17d245db8a01d930a12868c043bd",
+        "added_value": "Existing live-pin drift audit; this package does not repeat that broader analysis or resolve maintainer pin policy."
+      }
+    ],
+    "limits": "Titles/bodies, Discussion comments/replies and local package/ledger notes; not all code diffs. Independent verification intentionally overlaps the exact target."
+  },
+  "freshness": {
+    "upstream_commit": "84f8e607779b81c05edc962d4981d1f9b4b9bc9f",
+    "recorded_at_utc": "2026-10-15T22:09:45.409937+00:00",
+    "priority_revision": 5,
+    "submission_parent": "84f8e607779b81c05edc962d4981d1f9b4b9bc9f",
+    "ancestry_check": "GitHub compare API reports ahead=8, behind=0 for 6ca6f217...84f8e607. Local shared repository is shallow; local merge-base could not establish this relationship.",
+    "compatibility": "Base 6ca6f217 remains an ancestor; AGENTS.md, autoresearch.md, catalogue, selected record, find_overlap.py and research_package.py unchanged at the fetched main. Only a new audit package is submitted; historical source pins retained.",
+    "target_pr": 2493,
+    "target_head": "a459ee34fad0488691beba8441e0a31e103b91a5",
+    "target_state": "open, ready; no review or Conversation comments at the direct check",
+    "overlap": {
+      "open_prs": {
+        "fetched_at": "2026-10-15T22:05:41.873096+00:00",
+        "complete_pagination": true,
+        "records": 722
+      },
+      "discussions": {
+        "fetched_at": "2026-10-15T22:06:03.800375+00:00",
+        "complete_pagination": true,
+        "records": 1436
+      }
+    },
+    "collector_note": "Final live overlap used the authenticated candidate collector after the offline audit passed; not a live timing comparison."
+  },
+  "validation": {
+    "host": "Windows x64",
+    "python": [
+      "CPython 3.12.14",
+      "CPython 3.14.6"
+    ],
+    "registered_replay": "CPython 3.12.14 normal and optimized commands passed, including six unchanged predecessor tests in both modes.",
+    "git_free_relocation": {
+      "mode": "Git-free path with spaces, unrelated cwd, -I -O -B",
+      "python": "Python 3.12.14",
+      "elapsed_seconds": 26.342,
+      "unchanged_files": 10
+    },
+    "known_rejections": {
+      "overlap-path-index": "source blob provenance mismatch: scripts/find_overlap.py",
+      "research-package-pin-batching": "working source drift: tests/test_research_onboarding.py"
+    },
+    "not_claimed": [
+      "Live timing ratio",
+      "Frozen dependent-package success",
+      "Independent human review",
+      "Hosted CI result",
+      "Supplier or selected cold replay"
+    ]
+  }
+}