diff --git a/frontend/src/components/LeftoverMapPlot.tsx b/frontend/src/components/LeftoverMapPlot.tsx
index 427734cdc..ff96385ad 100644
--- a/frontend/src/components/LeftoverMapPlot.tsx
+++ b/frontend/src/components/LeftoverMapPlot.tsx
@@ -41,6 +41,7 @@ import {
 import {
   firstPlottablePairForPost,
   layoutLeftoverMapPlot,
+  leftoverMapPlotCriterionBadge,
   LEFTOVER_MAP_COMPARE_PLOT_CAPTION,
   LEFTOVER_MAP_COMPARE_PLOT_LABEL,
   LEFTOVER_MAP_COMPARE_PLOT_SVG,
@@ -128,11 +129,27 @@ function leftoverMapPlotAxisText(
   });
 }
 
+function leftoverMapPlotCriterionText(
+  marker: { label: string; axis1: number; axis2: number },
+  variant: LeftoverMapPlotVariant,
+): string {
+  if (variant === "comparison") {
+    return `${t("Criterion ζ")} ${marker.label}`;
+  }
+  const badge = leftoverMapPlotCriterionBadge(marker.label, marker.axis1, marker.axis2);
+  if (badge === null) {
+    return `${t("Criterion ζ")} ${marker.label}`;
+  }
+  return `${t("Criterion ζ")} ${badge.values.label} · ζ ${badge.values.item}`;
+}
+
 /**
  * Gabriel leftover-map graphic display of persisted ``ξ_{1:2}`` / ``ζ_{1:2}``.
  *
- * Person markers are posts; item markers are leftover criteria. Click a
- * post marker to open that post. Caption leftover-map axes with persisted
+ * Person markers are posts; item markers are leftover criteria. Report criterion
+ * markers name persisted item coordinates by composing the already-localized
+ * criterion label with persisted ζ; comparison criterion naming remains generic.
+ * Click a post marker to open that post. Caption leftover-map axes with persisted
  * Gabriel inertia share when finite, including rank-0 zero-share axes.
  * Report and comparison graphic axes additionally name finite, non-negative
  * persisted Gabriel singular values independently of axis share; never derive
@@ -576,7 +593,7 @@ export function LeftoverMapPlot({
             </g>
           ))}
           {layout.items.map((marker) => (
-            <g key={`item:${marker.id}`} aria-label={`${t("Criterion ζ")} ${marker.label}`}>
+            <g key={`item:${marker.id}`} aria-label={leftoverMapPlotCriterionText(marker, variant)}>
               <polygon className="leftover-map-plot-item" points={diamondPoints(marker.x, marker.y, 7)} />
               <text className="leftover-map-plot-label" x={marker.x + 10} y={marker.y + 14}>
                 {marker.label}
diff --git a/frontend/src/leftoverMapPlotLayout.ts b/frontend/src/leftoverMapPlotLayout.ts
index 02f5ba9ba..da6ae9b32 100644
--- a/frontend/src/leftoverMapPlotLayout.ts
+++ b/frontend/src/leftoverMapPlotLayout.ts
@@ -30,6 +30,27 @@ export const LEFTOVER_MAP_COMPARE_PLOT_SVG = "Leftover map comparison";
 export const LEFTOVER_MAP_PLOT_POST_ACTION =
   "Open leftover-map post {title} at ξ {person}";
 
+export const LEFTOVER_MAP_PLOT_CRITERION =
+  "leftover-map criterion {label} at ζ {item}";
+
+export type LeftoverMapPlotCriterionBadge = {
+  key: string;
+  values: { label: string; item: string };
+};
+
+/** Builds report-graphic criterion copy only from the persisted item-axis pair. */
+export function leftoverMapPlotCriterionBadge(
+  label: string,
+  axis1: number | null | undefined,
+  axis2: number | null | undefined,
+): LeftoverMapPlotCriterionBadge | null {
+  const item = formatLeftoverMapCoordinatePair(axis1, axis2);
+  if (item === null) {
+    return null;
+  }
+  return { key: LEFTOVER_MAP_PLOT_CRITERION, values: { label, item } };
+}
+
 export const LEFTOVER_MAP_PLOT_TICK =
   "leftover-map axis {axis} tick {value}";
 
diff --git a/tests/test_leftover_map_report_criterion_item_coordinate_contract.py b/tests/test_leftover_map_report_criterion_item_coordinate_contract.py
new file mode 100644
index 000000000..68ee4bf41
--- /dev/null
+++ b/tests/test_leftover_map_report_criterion_item_coordinate_contract.py
@@ -0,0 +1,43 @@
+"""Executable contract for report-graphic criterion item-coordinate captions."""
+
+from pathlib import Path
+import re
+
+
+ROOT = Path(__file__).resolve().parents[1]
+LAYOUT_SOURCE = ROOT / "frontend" / "src" / "leftoverMapPlotLayout.ts"
+PLOT_SOURCE = ROOT / "frontend" / "src" / "components" / "LeftoverMapPlot.tsx"
+
+
+def test_report_graphic_criterion_names_persisted_item_coordinates() -> None:
+    """Report criterion markers use distinct ζ copy while comparison markers retain generic copy."""
+    layout_source = LAYOUT_SOURCE.read_text(encoding="utf-8")
+    plot_source = PLOT_SOURCE.read_text(encoding="utf-8")
+
+    assert 'LEFTOVER_MAP_PLOT_CRITERION =\n  "leftover-map criterion {label} at ζ {item}";' in layout_source
+    assert "leftoverMapPlotCriterionBadge" in layout_source
+    assert "leftoverMapPlotCriterionBadge" in plot_source
+    assert re.search(
+        r'variant\s*===\s*"comparison".*?Criterion ζ.*?leftoverMapPlotCriterionBadge',
+        plot_source,
+        re.DOTALL,
+    )
+
+
+def test_criterion_badge_consumes_item_axes_fail_closed_without_person_inference() -> None:
+    """ζ comes only from a finite persisted item coordinate pair; zero remains representable."""
+    layout_source = LAYOUT_SOURCE.read_text(encoding="utf-8")
+    helper = re.search(
+        r"export function leftoverMapPlotCriterionBadge\(.*?\n}\n",
+        layout_source,
+        re.DOTALL,
+    )
+    assert helper is not None
+    helper_source = helper.group(0)
+
+    assert "formatLeftoverMapCoordinatePair(axis1, axis2)" in helper_source
+    assert "item === null" in helper_source
+    assert "return null" in helper_source
+    assert "leftover_map_person_axis" not in helper_source
+    assert "Math.sqrt" not in helper_source
+    assert "Math.abs" not in helper_source