@@ -0,0 +1,13 @@
+---
+'@objectstack/spec': patch
+'@objectstack/skills': patch
+---
+
+docs(spec,skills): an `object-metric` tile's `polarity` is declared against the aggregate before `invert`, and `pages.md` points at it
+
+Clause-②: no
+Metadata-protocol: none
+
+- **Before.** The `polarity` description said the badge arrow shows which way the number moved. Under `invert: true` the tile shows `1 - value`, so there are two numbers, and the text did not say which one the arrow and `polarity` read. The `objectstack-ui` skill's `rules/pages.md` taught the inline `object-metric` without naming `compareTo` or `polarity`.
+- **Now.** The `polarity` description (and the reference page generated from it) says the badge and `polarity` read the aggregated value before `invert`, so `polarity` is declared against the raw value: an error rate shown as uptime is `lower`. The `object-metric` row in `rules/pages.md` names `polarity` and links to the `compareTo` section of `rules/dashboards.md`. The pointer is paid for by deleting three restatements in the same file; the file stays at its token count and no ceiling moves.
+- **Unchanged.** No schema, accepted value, default or renderer behaviour moves.
@@ -1222,7 +1222,7 @@ Sort field and direction pair
 | **trend** | `{ value: number; label?: string \| Record<string, string>; direction?: Enum<'up' \| 'down' \| 'neutral'> }` | optional | Static trend badge `{ value, label?, direction? }` — `value` painted as a percentage, `direction` up / down / neutral. A `compareTo`-derived trend replaces it |
 | **drillDown** | `{ enabled?: boolean; title?: string; target?: Enum<'drawer' \| 'dialog' \| 'navigate'>; columns?: string[]; … }` | optional | Click-through drill config `{ enabled?, title?, target?, columns?, maxRows?, report? }` — opens the records behind the number, scoped by the metric's own `filter` — or draws the report `report` defines; a present block is on unless `enabled: false`. `filter` and `mode` are refused: a metric tile has no click context and no row |
 | **compareTo** | `{ kind: Enum<'previousPeriod' \| 'previousYear'> }` | optional | Period-over-period comparison `{ kind }` — `previousPeriod` or `previousYear`, shifting the date macros in the tile's own `filter`. `dimension` is refused: this tile never reads a dataset time dimension |
-| **polarity** | `Enum<'higher' \| 'lower' \| 'neutral'>` | optional | Which direction of change is good news: higher (rise green, fall red), lower (fall green, rise red) or neutral (no good/bad colour). Colours the trend badge, computed (`compareTo`) or static (`trend`); undeclared keeps rise green, fall red |
+| **polarity** | `Enum<'higher' \| 'lower' \| 'neutral'>` | optional | Which direction of change is good news: higher (rise green, fall red), lower (fall green, rise red) or neutral (no good/bad colour). Colours the trend badge, computed (`compareTo`) or static (`trend`); undeclared keeps rise green, fall red. The badge and polarity read the aggregate before `invert`, so declare polarity against the raw value: an error rate shown as uptime is lower |
 
 ### Nested Shape: `ObjectMetricProps.aggregate`
 
 
@@ -5793,12 +5793,15 @@ export const ObjectMetricPropsSchema = lazySchema(() => strictObject({
    * - `neutral`: neither; the badge keeps its arrow and percentage, muted.
    *
    * The arrow always shows which way the NUMBER moved; polarity decides only
-   * the colour. Nothing infers a polarity from the aggregated field's name.
+   * the colour. Both read the aggregated value BEFORE `invert`, so polarity is
+   * declared against the raw aggregate: an error rate shown as uptime is
+   * `lower`. Nothing infers a polarity from the aggregated field's name.
    */
   polarity: DatasetMeasurePolarity.optional().describe(
     'Which direction of change is good news: higher (rise green, fall red), lower (fall green, rise red) '
     + 'or neutral (no good/bad colour). Colours the trend badge, computed (`compareTo`) or static (`trend`); '
-    + 'undeclared keeps rise green, fall red',
+    + 'undeclared keeps rise green, fall red. The badge and polarity read the aggregate before `invert`, so '
+    + 'declare polarity against the raw value: an error rate shown as uptime is lower',
   ),
 }));
 /** Author state (ADR-0122: the bare name is the author state). */
 
@@ -53,7 +53,7 @@ A `slotted` record page has no `tabs` slot: shape the strip with `relatedList` /
 | `record:path`        | Stage progress bar — `statusField` + `stages: [{ value, label }]` |
 | `record:related_list` | Related-list (child records via lookup) |
 | `nav:menu`           | Quick-create / nav menu bound to current context |
-| `object-metric`      | Single KPI widget (count/sum/avg) |
+| `object-metric`      | Single KPI widget (count/sum/avg); trend colour = `polarity`, see [compareTo](dashboards.md#period-over-period--compareto) |
 | `object-chart`       | Embedded chart |
 
 > **Variable substitution** — `{first_name}`, `{current_user.first_name}`,
@@ -228,7 +228,7 @@ function Page() {
 by the host capability `react-pages` — **OFF by default**: a react page's source is code
 every viewer runs. A deployment that trusts its authors turns it on server-side
 with `OS_PAGE_REACT_ENABLED=true`; while off, the page shows a "disabled" notice instead.
-`os build` does NOT lint react source (it is real JS, not constrained JSX) — errors surface
+`os build` does NOT lint react source — errors surface
 at render behind an error boundary, so always test a react page in the browser.
 
 ### Styling a page (ADR-0065) — `responsiveStyles`, NOT `className`
@@ -242,7 +242,7 @@ arbitrary classes (`text-[27px]`, `grid-cols-7`) silently do nothing.
 Rules:
 - **`responsiveStyles` and `id` are top-level** envelope fields; **child nodes go
   in `properties.children`** (the renderer hoists `properties` to schema level).
-- Every styled node **needs a stable `id`** (the CSS is scoped to it).
+- Every styled node **needs a stable `id`**.
 - **Values should be design tokens** for consistency: spacing `var(--space-1..12)`,
   radius `var(--radius)` / `var(--radius-xl)`, shadow `var(--shadow-sm|md|lg)`,
   colors `var(--surface)` / `var(--surface-sunken)` / `var(--text-strong)` /
@@ -266,7 +266,7 @@ Rules:
       backgroundColor: 'var(--surface)', border: '1px solid hsl(var(--primary))',
       boxShadow: '0 0 0 3px hsl(var(--primary) / 0.25), var(--shadow-lg)',
     },
-    small: { padding: 'var(--space-4)', gap: 'var(--space-3)' },  // responsive via the model
+    small: { padding: 'var(--space-4)', gap: 'var(--space-3)' },
   },
   properties: {
     children: [