diff --git a/generate/derivation/fraction_decrease.py b/generate/derivation/fraction_decrease.py
index 3281ae8b..f6c76290 100644
--- a/generate/derivation/fraction_decrease.py
+++ b/generate/derivation/fraction_decrease.py
@@ -164,19 +164,32 @@ def _self_verifies_fraction_decrease(
 def _resolve_fraction_decrease_contract(
     problem_text: str,
 ) -> ContractAssessment | None:
-    """Build a geometric ContractAssessment for fraction_decrease when callers
-    omit an explicit contract (sprint/dev API compatibility).
+    """Build a ContractAssessment for fraction_decrease when callers omit one.
 
-    Uses ``assess_geometric_proposals`` so VersorBinding payloads come from the
-    owned CGA construction path (pack signature or legacy N/M helper).
+    Prefers ``assess_contracts`` (obligation-complete + frame-grounded scale
+    VersorBinding). Falls back to ``assess_geometric_proposals`` (same frame
+    scale binding path). Never re-parses "decrease to N/M of" prose.
     """
     from generate.problem_frame_builder import build_problem_frame
-    from generate.problem_frame_contracts import assess_geometric_proposals
+    from generate.problem_frame_contracts import (
+        assess_contracts,
+        assess_geometric_proposals,
+    )
 
     frame = build_problem_frame(problem_text)
-    assessments = assess_geometric_proposals(frame)
+    for assessment in assess_contracts(frame):
+        if (
+            assessment.candidate_organ == "fraction_decrease"
+            and assessment.runnable
+            and assessment.bindings
+        ):
+            return assessment
     return next(
-        (a for a in assessments if a.candidate_organ == "fraction_decrease"),
+        (
+            a
+            for a in assess_geometric_proposals(frame)
+            if a.candidate_organ == "fraction_decrease" and a.bindings
+        ),
         None,
     )
 
diff --git a/generate/problem_frame_contracts.py b/generate/problem_frame_contracts.py
index 306fbe24..2a86fec1 100644
--- a/generate/problem_frame_contracts.py
+++ b/generate/problem_frame_contracts.py
@@ -496,6 +496,12 @@ def assess_fraction_decrease(frame: ProblemFrame) -> ContractAssessment:
         )
     )
     runnable = not missing and not unresolved
+    # Geometric dilation binding from frame scale (KernelFacts), not prose.
+    geometric_bindings: list[VersorBinding] = []
+    if runnable:
+        scale_binding = _fraction_decrease_scale_binding(frame)
+        if scale_binding is not None:
+            geometric_bindings.append(scale_binding)
     return ContractAssessment(
         candidate_organ="fraction_decrease",
         missing_bindings=tuple(dict.fromkeys(missing)),
@@ -508,6 +514,7 @@ def assess_fraction_decrease(frame: ProblemFrame) -> ContractAssessment:
             + ", ".join((*dict.fromkeys(missing), *sorted(unresolved)))
         ),
         evidence_spans=evidence_spans,
+        bindings=geometric_bindings,
     )
 
 
@@ -911,46 +918,103 @@ def _scale_from_geometric_signature(geom: dict) -> float | None:
     return None
 
 
-def _build_fraction_decrease_payload_and_bind(span_text: str) -> tuple[np.ndarray, str] | None:
-    """Construct CGA dilation versor payload and bind text for fraction-decrease evidence.
+def _versor_binding_from_scale_value(
+    scale_value: object,
+    *,
+    semantic_identity: str,
+    source_span: tuple[int, int],
+) -> VersorBinding | None:
+    """Build a dilation VersorBinding from an exact kernel scale (Fraction/float).
 
-    Prefer pack-driven geometric_signature (via resolve_geometric_signature on
-    the span or an embedded slash-fraction token). LEGACY EXCEPTION: if packs
-    do not yet ratify the parameterized phrase, extract ``N/M`` from evidence
-    text via a local regex — migration target is pack senses.jsonl entries
-    with ``geometric_signature: {numerator, denominator}`` (or ``scale``).
+    This is the post-pivot construction path: scale arrives as a grounded
+    scalar fact on ProblemFrame — never re-parsed from "decrease to N/M of"
+    prose. CGA dilation is a pure construction-boundary op on that number.
     """
-    # Pack-first: whole span, then first slash-fraction token.
-    candidates: list[str] = [span_text]
-    frac_match = re.search(r"(\d+\s*/\s*\d+)", span_text)
-    if frac_match:
-        candidates.append(frac_match.group(1).replace(" ", ""))
-    for cand in candidates:
-        signature = resolve_geometric_signature(cand)
-        if not signature:
-            continue
-        _, geom = signature
-        scale = _scale_from_geometric_signature(geom)
-        if scale is None:
-            continue
-        bind_text = cand if cand != span_text else (frac_match.group(1) if frac_match else span_text)
-        return _dilation_versor_payload(scale), bind_text
+    try:
+        k = float(scale_value)  # Fraction implements __float__
+    except (TypeError, ValueError):
+        return None
+    if not np.isfinite(k) or k <= 0.0:
+        return None
+    payload = _dilation_versor_payload(k)
+    return VersorBinding(
+        source_span=source_span,
+        semantic_identity=semantic_identity,
+        geometric_payload=payload,
+        versor_error=versor_condition(payload),
+    )
 
-    # LEGACY EXCEPTION: local prose extract until pack signatures cover
-    # parameterized "decrease to N/M of" phrases (kernel substrate rule).
-    m = re.search(r"decrease to (\d+)/(\d+)\s+of", span_text)
-    if not m:
+
+def _fraction_decrease_scale_binding(frame: ProblemFrame) -> VersorBinding | None:
+    """Resolve fraction-decrease dilation binding from ProblemFrame scale role.
+
+    Order of truth (no local prose parse):
+    1. Bound ``decrease_to_fraction`` relation role ``scale`` → GroundedScalar.value
+    2. Optional pack geometric_signature on the scale *surface* (named fractions
+       / pack-ratified lemmas) when present — still identity = surface token,
+       not a phrase regex.
+    """
+    relations = [
+        relation
+        for relation in frame.bound_relations
+        if relation.relation_type == "decrease_to_fraction"
+    ]
+    if len(relations) != 1:
         return None
-    n, d = int(m.group(1)), int(m.group(2))
-    if d == 0:
+    relation = relations[0]
+    scale_id = _role_target(relation, "scale")
+    if scale_id is None:
         return None
-    bind_text = frac_match.group(1) if frac_match else span_text
-    return _dilation_versor_payload(n / d), bind_text
+    quantities = _quantity_value_by_mention_id(frame)
+    scale_q = quantities.get(scale_id)
+    if scale_q is None:
+        return None
+    mentions = _mention_map(frame)
+    mention = mentions.get(scale_id)
+    surface = getattr(mention, "surface", None) or str(getattr(scale_q, "value", ""))
+    span = getattr(mention, "span", None)
+    if span is None:
+        role_spans = _role_spans(relation, "scale")
+        if not role_spans:
+            return None
+        span = role_spans[0]
+    source_span = (span.start, span.end)
+
+    # Prefer exact kernel scalar (slash_fraction / named fraction already
+    # canonicalized to Fraction on the frame).
+    binding = _versor_binding_from_scale_value(
+        getattr(scale_q, "value", scale_q),
+        semantic_identity=str(surface),
+        source_span=source_span,
+    )
+    if binding is not None:
+        return binding
+
+    # Pack geometric_signature on scale surface (e.g. named fraction lemmas
+    # with senses geometric_signature) — substrate lookup only.
+    signature = resolve_geometric_signature(str(surface))
+    if signature is None:
+        return None
+    _, geom = signature
+    scale = _scale_from_geometric_signature(geom)
+    if scale is None:
+        return None
+    return _versor_binding_from_scale_value(
+        scale,
+        semantic_identity=str(surface),
+        source_span=source_span,
+    )
 
 
 def assess_geometric_proposals(frame: ProblemFrame) -> list[ContractAssessment]:
+    """Geometric contract assessments from proposals + frame-grounded scale.
+
+    For ``fraction_decrease``, dilation VersorBindings are built from the
+    ProblemFrame scale role (KernelFacts GroundedScalar), not from re-parsing
+    proposal evidence spans with a local "decrease to N/M of" regex.
+    """
     assessments = []
-    
+
     # Pre-compute reverse mapping from family_id to candidate_organ
     family_to_organ = {}
     for organ, contract in _CONTRACT_REGISTRY.items():
@@ -961,13 +1025,19 @@ def assess_geometric_proposals(frame: ProblemFrame) -> list[ContractAssessment]:
         candidate_organ = family_to_organ.get(prop.family_id)
         if not candidate_organ:
             continue
-            
-        bindings = []
-        for span in prop.evidence_spans:
-            signature = resolve_geometric_signature(span.text)
-            payload = None
-            bind_text = span.text
-            if signature:
+
+        bindings: list[VersorBinding] = []
+
+        if candidate_organ == "fraction_decrease":
+            # Frame-first: one binding from bound scale role.
+            scale_binding = _fraction_decrease_scale_binding(frame)
+            if scale_binding is not None:
+                bindings.append(scale_binding)
+        else:
+            for span in prop.evidence_spans:
+                signature = resolve_geometric_signature(span.text)
+                if not signature:
+                    continue
                 _, geom = signature
                 scale = _scale_from_geometric_signature(geom)
                 if scale is not None:
@@ -976,33 +1046,30 @@ def assess_geometric_proposals(frame: ProblemFrame) -> list[ContractAssessment]:
                     # Unit payload when signature exists but carries no scale.
                     payload = np.zeros(32, dtype=np.float64)
                     payload[0] = 1.0
-            elif candidate_organ == "fraction_decrease":
-                frac_result = _build_fraction_decrease_payload_and_bind(span.text)
-                if frac_result:
-                    payload, bind_text = frac_result
-
-            if payload is not None:
-                binding = VersorBinding(
-                    source_span=(span.start, span.end),
-                    semantic_identity=bind_text,
-                    geometric_payload=payload,
-                    versor_error=versor_condition(payload),
+                bindings.append(
+                    VersorBinding(
+                        source_span=(span.start, span.end),
+                        semantic_identity=span.text,
+                        geometric_payload=payload,
+                        versor_error=versor_condition(payload),
+                    )
                 )
-                bindings.append(binding)
-                
-        runnable = False
-        if bindings and all(b.versor_error < 1e-6 for b in bindings):
-            runnable = True
+
+        runnable = bool(bindings) and all(b.versor_error < 1e-6 for b in bindings)
 
         assessment = ContractAssessment(
             bindings=bindings,
             candidate_organ=candidate_organ,
             runnable=runnable,
-            explanation="Assessed via geometric algebra.",
-            evidence_spans=prop.evidence_spans
+            explanation=(
+                "Assessed via geometric algebra from frame-grounded scale"
+                if candidate_organ == "fraction_decrease"
+                else "Assessed via geometric algebra."
+            ),
+            evidence_spans=prop.evidence_spans,
         )
         assessments.append(assessment)
-        
+
     return assessments
 
 def assess_contracts(frame: ProblemFrame, depth: dict | None = None) -> tuple[ContractAssessment, ...]:
diff --git a/plan.md b/plan.md
index 94b0ec85..a495e4bd 100644
--- a/plan.md
+++ b/plan.md
@@ -73,7 +73,7 @@ Alignment: AGENTS.md (pre-edit traces, immutability via replace/new, exact recal
 - **Same-turn root recog (done):** `resolve_token_depths` + pipeline early wire before graph.
 - **Capability obligations (done):** `tests/test_3lang_depth_capability.py` (he/grc exemplars, result fields, construction, dilation).
 - **public_demo budget (done):** 60s reference budget; soft case (hard raise opt-in); re-pin lane SHAs.
-- **Geometric signature (partial):** pack-scale preferred; legacy N/M regex retained with explicit migration note.
+- **Geometric signature (done 2026-07-08):** fraction_decrease dilation binds from ProblemFrame scale role (KernelFacts GroundedScalar Fraction) — legacy "decrease to N/M of" prose regex **removed** from problem_frame_contracts.
 - Rebase/merge per git workflow after review (Forgejo / `tea`).
 - (retired) No longer create formal HANDOFF files. Use session-break-summary-<DATETIME>.md on pauses per AGENTS.md.
 
diff --git a/tests/test_3lang_depth_capability.py b/tests/test_3lang_depth_capability.py
index ca60c5f7..20771cea 100644
--- a/tests/test_3lang_depth_capability.py
+++ b/tests/test_3lang_depth_capability.py
@@ -177,7 +177,7 @@ def test_construction_assess_with_he_root_depth() -> None:
 
 
 def test_dilation_payload_from_scale_and_signature() -> None:
-    """P4: pack-shaped geometric_signature scale drives dilation versor."""
+    """Pack-shaped geometric_signature + frame scale drive dilation versor."""
     payload = _dilation_versor_payload(0.5)
     assert payload.shape == (32,)
     assert float(versor_condition(payload)) < 1e-6
@@ -188,11 +188,26 @@ def test_dilation_payload_from_scale_and_signature() -> None:
     )
     assert _scale_from_geometric_signature({"note": "no scale"}) is None
 
-    # Legacy extract still works for parameterized decrease phrase.
-    from generate.problem_frame_contracts import _build_fraction_decrease_payload_and_bind
+    # Post-pivot: frame-grounded scale (KernelFacts Fraction), not prose regex.
+    from generate.problem_frame_contracts import (
+        assess_fraction_decrease,
+        assess_geometric_proposals,
+    )
 
-    frac = _build_fraction_decrease_payload_and_bind("decrease to 3/4 of the original")
-    assert frac is not None
-    payload2, bind = frac
-    assert float(versor_condition(payload2)) < 1e-6
-    assert "3" in bind and "4" in bind
+    text = (
+        "In one hour, Addison mountain's temperature will decrease to 3/4 of its temperature. "
+        "If the current temperature of the mountain is 84 degrees, what will the temperature "
+        "decrease by?"
+    )
+    frame = build_problem_frame(text)
+    geom = assess_geometric_proposals(frame)
+    assert len(geom) == 1
+    assert geom[0].runnable
+    assert geom[0].bindings
+    assert geom[0].bindings[0].semantic_identity == "3/4"
+    assert float(versor_condition(geom[0].bindings[0].geometric_payload)) < 1e-6
+
+    obligation = assess_fraction_decrease(frame)
+    assert obligation.runnable
+    assert obligation.bindings
+    assert obligation.bindings[0].semantic_identity == "3/4"
diff --git a/tests/test_problem_frame_contracts.py b/tests/test_problem_frame_contracts.py
index 976caa0f..3ec20246 100644
--- a/tests/test_problem_frame_contracts.py
+++ b/tests/test_problem_frame_contracts.py
@@ -1,5 +1,13 @@
+from pathlib import Path
+
 from generate.problem_frame_builder import build_problem_frame
-from generate.problem_frame_contracts import assess_contracts, assess_fraction_decrease, assess_percent_partition
+from generate.problem_frame_contracts import (
+    assess_contracts,
+    assess_fraction_decrease,
+    assess_geometric_proposals,
+    assess_percent_partition,
+)
+from algebra.versor import versor_condition
 
 
 FRACTION_DECREASE_CASE = (
@@ -59,6 +67,33 @@ def test_fraction_decrease_contract_is_runnable_from_problemframe() -> None:
     assert assessment.runnable
     assert assessment.missing_bindings == ()
     assert assessment.evidence_spans
+    # Pivot revelation: geometric dilation binds from frame scale Fraction(3/4),
+    # not from re-parsing "decrease to N/M of" prose.
+    assert assessment.bindings
+    assert assessment.bindings[0].semantic_identity in {"3/4", "3 / 4"}
+    assert float(versor_condition(assessment.bindings[0].geometric_payload)) < 1e-6
+
+
+def test_fraction_decrease_geometric_uses_frame_scale_not_prose_regex() -> None:
+    frame = build_problem_frame(FRACTION_DECREASE_CASE)
+    geom = assess_geometric_proposals(frame)
+    assert len(geom) == 1
+    assert geom[0].candidate_organ == "fraction_decrease"
+    assert geom[0].runnable
+    assert geom[0].bindings[0].semantic_identity.replace(" ", "") == "3/4"
+    # Payload is dilation for k=0.75 (same as Fraction(3,4)).
+    from generate.problem_frame_contracts import _dilation_versor_payload
+    import numpy as np
+
+    expected = _dilation_versor_payload(0.75)
+    assert np.allclose(geom[0].bindings[0].geometric_payload, expected)
+
+
+def test_no_legacy_decrease_to_fraction_prose_regex_in_contracts() -> None:
+    """Guard: the overfitting local prose parser must not return."""
+    source = Path("generate/problem_frame_contracts.py").read_text(encoding="utf-8")
+    assert r"decrease to (\d+" not in source
+    assert "_build_fraction_decrease_payload_and_bind" not in source
 
 
 def test_fraction_decrease_sibling_is_runnable() -> None: