diff --git a/crates/compose/proptest-regressions/cmyk_tests.txt b/crates/compose/proptest-regressions/cmyk_tests.txt
index 23a4b6e958..2f3a9c3fb8 100644
--- a/crates/compose/proptest-regressions/cmyk_tests.txt
+++ b/crates/compose/proptest-regressions/cmyk_tests.txt
@@ -5,3 +5,5 @@
 # It is recommended to check this file in to source control so that
 # everyone who runs the test benefits from these saved cases.
 cc a795914e4492bef1e662315563d48d54f09030c48e046df95329465c86dde4b4 # shrinks to s = Spec { w: 4, h: 6, layers: [Group { children: [Pixels { kind: Raster, blend: Normal, fills: [(Rect { x0: 0, y0: 0, x1: 1, y1: 1 }, [1.0, 0.0, 0.0, 0.0, 1.0])], opacity: 1.0, fill: 1.0, clipped: false, visible: true, mask: None }], pass_through: false, blend: Normal, opacity: 1.0, fill: 1.0, mask: None }, Pixels { kind: Adjust(Levels { channel: 0, levels: [0.0, 0.6, 1.0105422, 0.0, 0.7] }), blend: Normal, fills: [(Rect { x0: 0, y0: 0, x1: 1, y1: 1 }, [0.0, 0.0, 0.0, 0.0, 0.0])], opacity: 0.0, fill: 0.0, clipped: false, visible: true, mask: None }] }
+cc e14b02709a87770da2637c28678c4fa761b5628f402e0c6d60fe66f1aa4d4bfa # shrinks to s = Spec { w: 3, h: 2, layers: [Group { children: [Pixels { kind: Raster, blend: Normal, fills: [(Rect { x0: 0, y0: 0, x1: 1, y1: 1 }, [0.0, 0.0, 0.0, 0.0, 1.0])], opacity: 1.0, fill: 1.0, clipped: false, visible: true, mask: None }], pass_through: false, blend: Normal, opacity: 1.0, fill: 1.0, mask: None }, Group { children: [Pixels { kind: Adjust(Levels { channel: 0, levels: [0.0, 0.6, 0.3, 0.0, 0.7] }), blend: Dissolve, fills: [(Rect { x0: 0, y0: 0, x1: 1, y1: 1 }, [0.0, 0.0, 0.0, 0.0, 0.0])], opacity: 0.8972109, fill: 1.0, clipped: false, visible: true, mask: None }], pass_through: true, blend: Normal, opacity: 1.0, fill: 1.0, mask: None }] }
+cc 4eeba1f8db987228717b932b82d043d61e82fd897a33ea9e2ce68d6c61d7f491 # shrinks to s = Spec { w: 3, h: 5, layers: [Group { children: [Pixels { kind: Raster, blend: Normal, fills: [(Rect { x0: 0, y0: 0, x1: 1, y1: 1 }, [0.0, 0.0, 0.0, 0.0, 1.0])], opacity: 1.0, fill: 0.026626235, clipped: false, visible: true, mask: None }, Pixels { kind: Adjust(Invert), blend: Normal, fills: [(Rect { x0: 0, y0: 0, x1: 1, y1: 1 }, [0.0, 0.0, 0.0, 0.0, 0.0])], opacity: 0.0, fill: 0.0, clipped: false, visible: true, mask: None }], pass_through: true, blend: Normal, opacity: 1.0, fill: 1.0, mask: None }] }
diff --git a/crates/compose/src/cmyk.rs b/crates/compose/src/cmyk.rs
index da1cb51fdb..52db6582d9 100644
--- a/crates/compose/src/cmyk.rs
+++ b/crates/compose/src/cmyk.rs
@@ -402,12 +402,24 @@ fn adjust_inks(adj: &Adjustment, buf: &mut CmykBuffer, depth: SampleType) {
 /// mask; coverage is unchanged (the compositor's adjustment mix).
 fn mix_adjusted(l: &Layer, base: &mut CmykBuffer, adjusted: &CmykBuffer, cx: &Ctx) {
     let opacity = l.opacity * l.fill_opacity;
-    let mv = mask_vals(l, base.rect, cx);
+    let rect = base.rect;
+    let w = (rect.width() as usize).max(1);
+    let mv = mask_vals(l, rect, cx);
     for (i, (p, a)) in base.px.iter_mut().zip(&adjusted.px).enumerate() {
         let k = opacity * mask_at(&mv, i);
         if k <= 0.0 {
             continue;
         }
+        if l.blend == BlendMode::Dissolve {
+            // As on the RGB compositor (#3050): opacity and mask are the chance a pixel takes the
+            // adjustment fully, by the same noise.
+            let x = rect.x0.saturating_add((i % w) as i32);
+            let y = rect.y0.saturating_add((i / w) as i32);
+            if super::dissolve_noise(x, y) < k {
+                *p = [a[0], a[1], a[2], a[3], p[4]];
+            }
+            continue;
+        }
         let bl = blend_ink(l.blend, [p[0], p[1], p[2], p[3]], [a[0], a[1], a[2], a[3]]);
         for (v, b) in p.iter_mut().zip(bl) {
             *v = if k >= 1.0 { b } else { *v + (b - *v) * k };
@@ -416,10 +428,10 @@ fn mix_adjusted(l: &Layer, base: &mut CmykBuffer, adjusted: &CmykBuffer, cx: &Ct
 }
 
 /// Rounds to the document's levels after an adjustment layer, as the compositor does (on the
-/// channel brightness the document stores, and coverage).
-fn quantize_inks(buf: &mut CmykBuffer, q: f32) {
+/// channel brightness the document stores, and coverage). Also used by [`super::native`].
+pub(crate) fn quantize_inks(px: &mut [Cmyka], q: f32) {
     let round = |v: f32| (v * q + 0.5).floor() / q;
-    for p in &mut buf.px {
+    for p in px {
         for v in p.iter_mut().take(4) {
             // Whole levels of ink: exactly the stored values, rounding ties as on brightness.
             *v = (q - ((1.0 - *v) * q + 0.5).floor()) / q;
@@ -441,11 +453,23 @@ fn composite_clipped(clipped: &[Layer], base: &mut CmykBuffer, cx: &Ctx) {
         let content = layer_content(c, base.rect, cx);
         let opacity = c.opacity * c.fill_opacity;
         let gamma = super::text_gamma(c);
-        for (p, s) in base.px.iter_mut().zip(&content.px) {
+        let rect = base.rect;
+        let w = (rect.width() as usize).max(1);
+        for (i, (p, s)) in base.px.iter_mut().zip(&content.px).enumerate() {
             let alpha = p[4];
             if alpha <= 0.0 {
                 continue;
             }
+            if c.blend == BlendMode::Dissolve {
+                // As on the RGB compositor (#3052): the base keeps its alpha and each pixel takes
+                // the clipped layer fully or not at all, by the same noise.
+                let x = rect.x0.saturating_add((i % w) as i32);
+                let y = rect.y0.saturating_add((i / w) as i32);
+                if super::dissolve_noise(x, y) < s[4] * opacity {
+                    *p = [s[0], s[1], s[2], s[3], alpha];
+                }
+                continue;
+            }
             let r = composite_ink(c.blend, [p[0], p[1], p[2], p[3], 1.0], *s, opacity, gamma);
             *p = [r[0], r[1], r[2], r[3], alpha];
         }
@@ -477,7 +501,7 @@ fn composite_stack(layers: &[Layer], backdrop: &mut CmykBuffer, cx: &Ctx) {
         if base.visible {
             composite_layer(base, clipped, backdrop, cx);
             if let (LayerContent::Adjustment(_), Some(q)) = (&base.content, super::adjustment_quantum(cx.depth)) {
-                quantize_inks(backdrop, q);
+                quantize_inks(&mut backdrop.px, q);
             }
         }
     }
diff --git a/crates/compose/src/cmyk_tests.rs b/crates/compose/src/cmyk_tests.rs
index 41232675c0..3e28fccd7e 100644
--- a/crates/compose/src/cmyk_tests.rs
+++ b/crates/compose/src/cmyk_tests.rs
@@ -219,6 +219,10 @@ fn ref_adjusted(l: &Layer, adj: &Adjustment, clipped: &[Layer], p: Cmyka, x: i32
         a = ref_clip(clipped, a, x, y);
     }
     let k = l.opacity * l.fill_opacity * ref_mask(l, x, y);
+    if l.blend == BlendMode::Dissolve {
+        // Opacity and mask are the chance the pixel takes the adjustment fully.
+        return if k > 0.0 && crate::dissolve_noise(x, y) < k { [a[0], a[1], a[2], a[3], p[4]] } else { p };
+    }
     let mut o = p;
     for c in 0..4 {
         o[c] = p[c] + (ref_blend(l.blend, p[c], a[c]) - p[c]) * k;
@@ -233,7 +237,7 @@ fn ref_clip(clipped: &[Layer], mut content: Cmyka, x: i32, y: i32) -> Cmyka {
             content = ref_adjusted(c, adj, &[], content, x, y);
         } else if content[4] > 0.0 {
             let a = content[4];
-            let r = over_layer(c, [content[0], content[1], content[2], content[3], 1.0], ref_own(c, x, y), c.opacity * c.fill_opacity, None);
+            let r = over_layer(c, [content[0], content[1], content[2], content[3], 1.0], ref_own(c, x, y), c.opacity * c.fill_opacity, Some((x, y)));
             content = [r[0], r[1], r[2], r[3], a];
         }
     }
@@ -1697,3 +1701,100 @@ fn rgb_colours_become_ink_through_the_document_profile() {
     assert!(!supports(&overlay) && split::supports(&overlay));
     check(&overlay, "colour overlay");
 }
+
+/// The split route and the exact path give the same inks for `s`, alpha included.
+fn assert_split_matches_exact(s: &Spec) {
+    let mut d = doc(s.w as u32, s.h as u32);
+    d.layers = s.layers.iter().map(build).collect();
+    assert!(supports(&d) && split::supports(&d));
+    let via = split_render(&d);
+    let exact = render_cmyk(&d, via.rect).unwrap_or_else(|| panic!("supported"));
+    for (i, (g, w)) in via.px.iter().zip(&exact.px).enumerate() {
+        assert!((0..5).all(|c| (g[c] - w[c]).abs() <= 1e-5), "pixel {i}: {g:?} vs {w:?}");
+    }
+}
+
+fn raster_spec(blend: BlendMode, fill: (Rect, Cmyka), opacity: f32, clipped: bool) -> LayerSpec {
+    LayerSpec::Pixels { kind: Kind::Raster, blend, fills: vec![fill], opacity, fill: 1.0, clipped, visible: true, mask: None }
+}
+
+fn group_spec(children: Vec<LayerSpec>, pass_through: bool) -> LayerSpec {
+    LayerSpec::Group { children, pass_through, blend: BlendMode::Normal, opacity: 1.0, fill: 1.0, mask: None }
+}
+
+/// A clipped Dissolve layer shows each pixel fully or not at all on the exact path too, as on the
+/// RGB compositor (#9033; it used to mix like Normal: K 0.81 where the noise hides the layer).
+#[test]
+fn a_clipped_dissolve_layer_dissolves_on_the_exact_path() {
+    let s = Spec {
+        w: 4,
+        h: 5,
+        layers: vec![group_spec(
+            vec![
+                raster_spec(BlendMode::Normal, (Rect::new(0, 0, 2, 1), [0.0, 0.0, 0.0, 1.0, 1.0]), 1.0, false),
+                raster_spec(BlendMode::Dissolve, (Rect::new(0, 0, 1, 1), [0.0, 0.0, 0.0, 0.0, 1.0]), 0.189_737_02, true),
+            ],
+            false,
+        )],
+    };
+    assert_split_matches_exact(&s);
+}
+
+/// A Dissolve adjustment layer takes each pixel fully or not at all on the exact path too (#9033;
+/// it used to mix by opacity: cyan 0.267 where the noise picks the adjusted 0.298).
+#[test]
+fn a_dissolve_adjustment_dissolves_on_the_exact_path() {
+    let levels = AdjSpec::Levels { channel: 0, levels: [0.0, 0.6, 0.3, 0.0, 0.7] };
+    let adjust = LayerSpec::Pixels {
+        kind: Kind::Adjust(levels),
+        blend: BlendMode::Dissolve,
+        fills: vec![(Rect::new(0, 0, 1, 1), [0.0; 5])],
+        opacity: 0.897_210_9,
+        fill: 1.0,
+        clipped: false,
+        visible: true,
+        mask: None,
+    };
+    let s = Spec {
+        w: 3,
+        h: 2,
+        layers: vec![
+            group_spec(vec![raster_spec(BlendMode::Normal, (Rect::new(0, 0, 1, 1), [0.0, 0.0, 0.0, 0.0, 1.0]), 1.0, false)], false),
+            group_spec(vec![adjust], true),
+        ],
+    };
+    assert_split_matches_exact(&s);
+}
+
+/// After an adjustment layer, the display route ([`crate::native`]) rounds to the document's
+/// levels like the export path and the RGB compositor, at any opacity (#9033: in a pass-through
+/// group its coverage stayed at 41.32% where the others store 105/255).
+#[test]
+fn every_cmyk_route_rounds_after_an_adjustment_layer() {
+    for opacity in [0.0, 0.5] {
+        let adjust = LayerSpec::Pixels {
+            kind: Kind::Adjust(AdjSpec::Invert),
+            blend: BlendMode::Normal,
+            fills: vec![(Rect::new(0, 0, 1, 1), [0.0; 5])],
+            opacity,
+            fill: 1.0,
+            clipped: false,
+            visible: true,
+            mask: None,
+        };
+        let s = Spec {
+            w: 8,
+            h: 5,
+            layers: vec![group_spec(vec![raster_spec(BlendMode::Normal, (Rect::new(0, 0, 1, 1), [0.0, 0.0, 0.0, 0.0, 1.0]), 1.0, false), adjust], true)],
+        };
+        let mut d = doc(s.w as u32, s.h as u32);
+        d.layers = s.layers.iter().map(build).collect();
+        if let LayerContent::Group(g) = &mut d.layers[0].content {
+            g.children[0].fill_opacity = 0.413_248_66;
+        }
+        let rect = Rect::new(0, 0, 1, 1);
+        let display = crate::render(&d, rect).px[0][3];
+        let export = render_cmyk(&d, rect).unwrap_or_else(|| panic!("supported")).px[0][4];
+        assert_eq!((display, export), (105.0 / 255.0, 105.0 / 255.0), "opacity {opacity}");
+    }
+}
diff --git a/crates/compose/src/native.rs b/crates/compose/src/native.rs
index f837842920..98f87f75a9 100644
--- a/crates/compose/src/native.rs
+++ b/crates/compose/src/native.rs
@@ -214,7 +214,13 @@ impl<'a> InkStack<'a> {
                     }
                 }
                 Item::Adjust(op, opacity, mask) => {
+                    // The result is rounded to the document's levels, as the compositor and the
+                    // export path do after every adjustment layer, at any opacity (#9033).
+                    let quantum = crate::adjustment_quantum(self.depth);
                     if *opacity <= 0.0 {
+                        if let Some(q) = quantum {
+                            crate::cmyk::quantize_inks(acc, q);
+                        }
                         continue;
                     }
                     masked(*mask, mv);
@@ -228,6 +234,9 @@ impl<'a> InkStack<'a> {
                             d[c] += (v - d[c]) * mix;
                         }
                     }
+                    if let Some(q) = quantum {
+                        crate::cmyk::quantize_inks(acc, q);
+                    }
                 }
             }
         }