---
id: CB-WP-0030
kind: meta
title: "A number that does not move: a control for the wrong-subject family"
status: done
state_hub_workstream_id: "e6a0dad9-9b45-41fb-92ab-07c8b5690366"
---

# Purpose

```
structural tier  M   (changes how the loop constrains its own operation —
                      it adds an admissibility requirement, ADR-0006 D5)
chaos            d8 = 7  → no override
declared tier    M
```

**Declaration 1 of chaos window 3**, opened 2026-08-07 at d8 by ADR-0017.

## The family, with every instance

Seven claims in this project have been wrong in the same way. CB-EV-0019
§1 named it: *this project's arithmetic errors are not in the arithmetic.*

| # | pass | the claim | what was wrong | caught by |
|---|---|---|---|---|
| 1 | CB-WP-0021 | `csv` costs 21,613 against 3,798 of headroom | AM-4a **never sees** that code | re-deriving in ADR-0011 |
| 2 | → ground-game | *"12 in the file"* | a sum with no deal table | **the recipient** |
| 3 | CB-WP-0018 | SOLVE offered on a face-down Problem | the wrong condition named | implementing the ruling |
| 4 | CB-WP-0025 | 112–161 µs per node | the timer bracketed whole games | **adversarial review** |
| 5 | CB-WP-0025 | the game is too easy at 5–6 seats | a win rate attributed to the game | **adversarial review** |
| 6 | CB-WP-0029 | 2 Focus/Blame conflicts | compared *other* players' discs | re-reading the check |
| 7 | ADR-0017 | window 2 had zero overrides | never counted; cited 4× | writing the verdict |

## What will not work, measured before proposing anything

**`facts-check` has a real gap and it is not this one.** It reports **62
untagged literal copies** across 7 registry keys and fails on none of
them — a drift surface it names and does not close.

**Closing it would have caught at most one of the seven.** Instance 1's
denominator *was* a registry fact and was *correct*; the error was that
AM-4a does not cover the code. Instances 2, 4, 5, 6 were **fresh
measurements** — no registry key existed, and a provenance tag reproduces
a wrong subject faithfully.

> **A tag proves a number came from somewhere. It cannot prove the
> somewhere was the right place.**

The untagged surface is worth closing on its own merits, and **bundling it
here would let this pass claim a victory it did not win.** Named as
separate work, not done here.

## What did work, and it is one thing

Read the *caught by* column. Every instance was caught when **the number
was computed a second time by something with a different purpose** — a
later pass, a reviewer, the recipient, or the author re-reading.

Two of them, 4 and 5, share a sharper property: **the claim was tested
against a variation.**

- #4's cost **fell** as branching **rose**. A per-node cost cannot do that.
  The tell was in the published output.
- #5's win rate was attributed to the game; a second policy on the same
  deals gave 0% where the first gave 100%.

And #1 has it too: vary which crates are in scope and the budget changes,
which is the whole error.

**So the control is to generalise the thing this project already builds
after each instance** — RetrospectiveAnalysis §4.1's policy panel,
CB-WP-0029's attack-value sweep — and require it *before*:

> **A measured claim must name the variable it depends on, and show the
> measurement moving with it. A number that does not move when its subject
> moves is measuring something else.**

**Honest yield: 3 or 4 of 7**, and it catches the two that travelled
furthest. It does **not** catch #7 (a count never made) or #3 (not a
number). **Claiming it closes the family would be the family's own error
applied to itself.**

## Task: decide the rule and its limits

```task
id: CB-WP-0030-T01
status: done
priority: high
state_hub_task_id: "4be3630e-4c67-4ef9-a2f6-f689208b26b1"
```

`decisions/ADR-0018-*.md`.

- **State the rule** and where it binds: register findings that carry
  arithmetic, and anything leaving the repo.
- **State the yield honestly**, instance by instance, including what it
  misses. A control whose reach is overstated is worse than none, because
  it stops people looking.
- **Decide whether it is a gate or a discipline.** A sensitivity claim is
  prose; `loop-lint` can check *presence*, never *adequacy*. Say which
  half is mechanical.
- **Do not bundle the untagged-facts surface.** Name it as separate.

**Done 2026-08-07.**
[ADR-0018](../decisions/ADR-0018-a-number-that-does-not-move.md).

**D1 states what it does not do, first**, because the tempting fix was the
wrong one: closing the 62 untagged literals would have caught **1 of 7**,
and instance 1's denominator was a registry fact that was *correct*.
Deferred as separate work rather than bundled.

**D3 gives the yield instance by instance: three clear, one partial, three
missed.** The two it catches outright are the two that travelled furthest,
both bound for `ground-game`. **The misses are named** so nobody stops
looking — a count never made has no sensitivity, and instance 3 was not a
number.

**D5 splits it honestly**: the lint sees *presence*, never *adequacy*, and
its output says so — otherwise a green run reads as *"the claim was
verified"* and the control becomes a way of not looking.

## Task: the rule, in the spec that governs findings

```task
id: CB-WP-0030-T02
status: done
priority: high
state_hub_task_id: "cefcc917-91ef-4dbb-ab92-743266874b81"
```

`specs/GameDesign.md` §1 already requires a reproduction that **exists**,
has the **ruled shape**, and **can fail**. This adds the fourth clause,
because §1.2's row-level rule was itself born from instance 2 and covers
only sums.

**Controls:**
- the clause names the variable and the expected direction, or it is a
  sentence with no content;
- **the existing three clauses are unchanged** — this is an addition, and
  a rewrite would silently drop what earlier instances bought.

**Done 2026-08-07.** `GameDesign.md` §1.4, with the two instances that
motivate it stated in it: a per-node cost that **fell** as branching
**rose**, and a win rate attributed to the game that collapsed to 0% under
a second policy. **Both were already printed when they shipped.**

## Task: make the mechanical half mechanical

```task
id: CB-WP-0030-T03
status: done
priority: high
state_hub_task_id: "b773bc85-1f7b-4563-a0b5-3d5007162846"
```

`loop-lint` fails when a register row of an arithmetic kind lacks a
sensitivity line.

**Controls:**
- the check must **fail on a real row**, demonstrated by mutation — a lint
  that cannot go red is decoration (ADR-0006 D3, ADR-0017 D2);
- **it checks presence, not adequacy**, and its output says so, so nobody
  reads a green lint as *"the claim was verified"*;
- existing register rows are brought under it or explicitly exempted with
  a reason — a rule that only binds future rows leaves the six instances
  unprotected.

**Done 2026-08-07.** `check_sensitivity_stated` in `loop-lint`.

**It fired on three real rows immediately — F12, F15, F21 — and all three
were `note`s.** A note is by definition a finding *without* a
reproduction (§3.1), so there is no measurement to be sensitive about;
requiring one would be asking for a sensitivity statement about nothing.
**That exclusion belongs in the check, not in three hand-written
exemptions**, and putting it there is the difference between a rule and a
pile of special cases.

**Mutation-proven on a real row.** Strip every sensitivity word from F17's
prose and the check goes red; restore it and green. The first mutation
attempt *failed to fire* because F17's text still said "one number varied"
— which is the check working, and worth recording as the moment it was
nearly mis-verified.

Four self-test controls: it catches a bare claim, **clears one that names
its variable** (without which it would fire on everything), skips
non-arithmetic kinds, and skips notes.

## Task: evidence

```task
id: CB-WP-0030-T04
status: done
priority: medium
state_hub_task_id: "7206661a-a046-47bb-8f73-4b56328151af"
```

`evidence/CB-EV-0028-*.md`.

- **Re-run the seven instances against the rule** and report how many it
  would have caught. If the answer is below 3, the rule is not the one.
- **What the untagged surface is worth**, since it was measured here and
  deferred.
- **Whether a lint that checks presence is worth having at all**, or
  whether it trains the eye to stop at green.

**Done 2026-08-07.**
[CB-EV-0028](../evidence/CB-EV-0028-a-number-that-does-not-move.md).

**Yield 3 clear + 1 partial of 7** — above the falsifier, and the two it
catches outright are the two that travelled furthest. Row 6 is recorded as
*partly* rather than as a catch, because the variation would have
*prompted* the question, not *tested* it.

**The untagged surface is worth 1 of 7 against this family** and is still
worth closing for drift — recorded as separate, unclosed work.

**The presence-only lint is worth having on one condition**: it must never
grow a claim it cannot cash. The day its output implies verification,
ADR-0006 D3 applies and it should be deleted.

**§6 records a vocabulary defect in this very workplan** — it shipped
`kind: process` against `product|meta|mixed` and `make self-tests` caught
it. The pass that added a gate was caught by an older one.