diff --git a/Cargo.lock b/Cargo.lock
index e8c40af..6c1a9c9 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1875,7 +1875,7 @@ checksum = "252afb9ae5eaa683babdc6a068b3f5726eb19e05070c731f9b2a23a7c3e8ed34"
 
 [[package]]
 name = "ely-agent"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "ely-platform",
  "ely-ui",
@@ -1884,7 +1884,7 @@ dependencies = [
 
 [[package]]
 name = "ely-doc"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "anyhow",
  "csv",
@@ -1906,7 +1906,7 @@ dependencies = [
 
 [[package]]
 name = "ely-files"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "aes-gcm",
  "dunce",
@@ -1968,14 +1968,14 @@ dependencies = [
 
 [[package]]
 name = "ely-ipc"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "log",
 ]
 
 [[package]]
 name = "ely-lok"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "base64 0.23.1",
  "dunce",
@@ -1996,7 +1996,7 @@ dependencies = [
 
 [[package]]
 name = "ely-mail"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "ely-platform",
  "ely-ui",
@@ -2005,7 +2005,7 @@ dependencies = [
 
 [[package]]
 name = "ely-mark"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "anyhow",
  "base64 0.23.1",
@@ -2030,7 +2030,7 @@ dependencies = [
 
 [[package]]
 name = "ely-office"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "anyhow",
  "directories",
@@ -2051,7 +2051,7 @@ dependencies = [
 
 [[package]]
 name = "ely-pdf"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "dunce",
  "ely-files",
@@ -2069,7 +2069,7 @@ dependencies = [
 
 [[package]]
 name = "ely-pdf-engine"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "cc",
  "ely-ipc",
@@ -2085,7 +2085,7 @@ dependencies = [
 
 [[package]]
 name = "ely-platform"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "anyhow",
  "arboard",
@@ -2119,7 +2119,7 @@ dependencies = [
 
 [[package]]
 name = "ely-show"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "ely-files",
  "ely-gpui-component",
@@ -2139,7 +2139,7 @@ dependencies = [
 
 [[package]]
 name = "ely-table"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "ely-gpui-component",
  "ely-lok",
@@ -2156,7 +2156,7 @@ dependencies = [
 
 [[package]]
 name = "ely-tree"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "dunce",
  "ely-files",
@@ -2176,7 +2176,7 @@ dependencies = [
 
 [[package]]
 name = "ely-ui"
-version = "0.1.3"
+version = "0.1.4"
 dependencies = [
  "anyhow",
  "directories",
diff --git a/Cargo.toml b/Cargo.toml
index 6ffeb62..36aab30 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -5,7 +5,7 @@ members = ["apps/*", "crates/*"]
 exclude = ["engines", "reference"]
 
 [workspace.package]
-version = "0.1.3"
+version = "0.1.4"
 edition = "2024"
 rust-version = "1.95"
 license = "AGPL-3.0-or-later"
diff --git a/agents.md b/agents.md
index 24c12b9..13a2598 100644
--- a/agents.md
+++ b/agents.md
@@ -236,7 +236,7 @@ cargo run -p ely-doc          启动一个应用（ElyDoc 先 cargo build -p ely
 - 2026-10-08：数据管理（C18.3，§18.3）。设置的“存储”页（每个应用）：本应用数据目录里的日志（`ely.log`）、恢复副本（`recovery`）各自的大小与清除（`ely_platform::storage`）；日志当场清空（日志器以追加打开，截短不坏句柄），恢复副本在用着，写下记号（`.clear-recovery`），下次启动在设置与窗口之前删去（删不掉即启动失败、写明原因，记号留着下次再试，不打开没删掉的数据）；每次清除先问，写明删什么、何时删；每个文档保留的恢复点（10、20、50）与空间（32、64、256 MB）存在应用设置的 `recovery`（严格读，不合即报错），ElyMark 写恢复点时照用（C06.5 的文档应用同）。日志超过 8 MB 时，启动时只留后 4 MB、从整行起。数据库的升级前备份与失败只读只属 ElyMail（第二批），首版的六个应用没有数据库；邮件与 Agent 历史导出同属第二批。组件库 ea4ed4c：`SettingsRow` 是以标题命名、以说明描述的组（原先行标题不进 AX 树，两个同名按钮分不出）；待清除的状态以禁用的按钮写明。
 - 2026-10-08（用户定：图标照 Papirus 重画）：每个应用是 Papirus 192 网格上的一个大的扁平物件（页、讲台、信封、终端），主体一种饱和色，折角为其浅色，内容为白色、至多一个点缀色，主体与内容带 Papirus 的柔和投影（下移 4 或 2、模糊、20% 黑）。macOS 为浅色 squircle 上的同一物件（占主体 86%），Linux 与 Windows 只有物件。48 像素以下用无投影、无小细节的简化版。母版由 `packaging/icons/masters.py` 写出，配色见 `assets/icons/README.md`。Papirus 图标包（`assets/papirus_icons-master.zip`，用户放入）只作参照，不随包。
 - 2026-10-08（用户要求核对各系统的文件关联）：文件类型只写在 `packaging/types.tsv`（应用、扩展名、MIME；`/` 为文件夹）。Linux 的桌面项由它写 `MimeType=`（原先没有，桌面环境从不提供 Ely 打开文件）；Windows 安装程序由 `packaging/windows/types.sh` 生成的 NSIS 宏注册（原先没有）：HKCU 下每个扩展名的 `OpenWithProgids` 与 `Applications\<程序>\SupportedTypes`，ProgID `ElyOffice.<名称>` 带图标与打开命令，ElyTree 在文件夹右键菜单加“Open in ElyTree”；只进“打开方式”，从不改默认（同 macOS 的 Alternate），卸载时删去。makensis 在本机编过 ElyDoc 与 ElyTree 的安装程序；Windows 与 Linux 上实际打开文件未验证。
-- 2026-10-08（用户定：窗口缩窄时控件挤成一团、越出边框，不可接受）：窄窗口的版面。外壳一次排两侧栏（`shell/panel.rs` 的 `room`，有单测）：内容区至少留 360，放不下时两侧先缩到各自最窄，再先藏右栏、后藏左栏，窗口变宽即回来，用户拖的宽度不变。组件库 6d95b24 至 69265b4：`ScrollArea::vertical` 只纵向滚动、内容不得宽于区域（侧栏一律用它，原先横向不受限，整栏按自然宽度排后被裁）；`PropertyGrid` 每行可折行，放不下时控件到标签下方，标签列 104；全部图标的 `SegmentedControl` 与 `Tabs` 放不下全部文字时只显示图标，文字作提示与无障碍名（宽度取上一帧量得的条宽与文字排版宽度）；`StatusBar` 两侧与各项可缩，文字以省略号结尾；`Banner` 文字折行；`Button` 不再拒绝收缩，只在无法折行时缩并以省略号结尾；未聚焦的单行文本框显示文字开头（原插入点在末尾，看到的是尾部）；`Switch::name` 只给无障碍名（行已有标签时不再重复画字）；`CommitInput` 的勾选与按钮一行可折。各应用固定宽度的控件框（`w_32` 等）改为占满、以原宽为上限。`tests/scripts/layout.sh`：六个应用各开样本，640、800、1100 宽下读 AX 树，任何元素越出窗口左右即失败，并留截图供目视（栏内裁切 AX 看不出）。缩放（用户问为何 Doc、Table、Show 不能缩放；视图早有 `set_zoom`，界面从未接上）：`ely_office::Zooming`，Cmd+= / Cmd+- / Cmd+0，“视图”菜单三项，状态栏右侧 `ZoomControl` 的属主模式（组件 69265b4：显示属主给的百分比、按下交属主；原只缩放整个界面）；Cmd+滚轮与触控板捏合以指针处为中心缩放（`view/zoom.rs`，档位 25% 至 400%）；ElyShow 的 Cmd+0 回到适合幻灯片，手动缩放即停止适合。缩放只在内存里随标签，不跨重启。
+- 2026-10-08（用户定：窗口缩窄时控件挤成一团、越出边框，不可接受）：窄窗口的版面。外壳一次排两侧栏（`shell/panel.rs` 的 `room`，有单测）：内容区至少留 360，放不下时两侧先缩到各自最窄，再先藏右栏、后藏左栏，窗口变宽即回来，用户拖的宽度不变。组件库 6d95b24 至 69265b4：`ScrollArea::vertical` 只纵向滚动、内容不得宽于区域（侧栏一律用它，原先横向不受限，整栏按自然宽度排后被裁）；`PropertyGrid` 每行可折行，放不下时控件到标签下方，标签列 104；全部图标的 `SegmentedControl` 与 `Tabs` 放不下全部文字时只显示图标，文字作提示与无障碍名（宽度取上一帧量得的条宽与文字排版宽度）；`StatusBar` 两侧与各项可缩，文字以省略号结尾；`Banner` 文字折行；`Button` 不再拒绝收缩，只在无法折行时缩并以省略号结尾；未聚焦的单行文本框显示文字开头（原插入点在末尾，看到的是尾部）；`Switch::name` 只给无障碍名（行已有标签时不再重复画字）；`CommitInput` 的勾选与按钮一行可折。各应用固定宽度的控件框（`w_32` 等）改为占满、以原宽为上限。`tests/scripts/layout.sh`：六个应用各开样本，640、800、1100 宽下读 AX 树，任何元素越出窗口左右即失败，并留截图供目视（栏内裁切 AX 看不出）。缩放（用户问为何 Doc、Table、Show 不能缩放；视图早有 `set_zoom`，界面从未接上）：`ely_office::Zooming`，Cmd+= / Cmd+- / Cmd+0，“视图”菜单三项，状态栏右侧 `ZoomControl` 的属主模式（组件 69265b4：显示属主给的百分比、按下交属主；原只缩放整个界面）；Cmd（Windows、Linux 为 Ctrl）加滚轮与触控板捏合以指针处为中心缩放，滚轮一格一档（`ely_ui::wheel`，2026-10-12 起；原认 Windows 键、一格三档），ElyPDF 与 ElyMark 同（`view/zoom.rs`，档位 25% 至 400%）；ElyShow 的 Cmd+0 回到适合幻灯片，手动缩放即停止适合。缩放只在内存里随标签，不跨重启。
 - 2026-10-08（用户定：侧栏太占地方，要可调）：侧栏宽度（C05.6）。外壳的左右侧栏（`shell/panel.rs`，八个应用共用）默认左 220、右 320（原取 `sidebar_width` 240 与 `sheet_size` 380；右 320 是 ElyDoc 属性栏不截断控件的最窄宽度，实测 280 截断数值框）；内侧边缘是组件库的 `layout::resize_edge`，拖动改宽，左至少 160、右至少 280（原 220，属性栏放不下）、至多窗口的 45%；拖动停 0.5 秒后存入应用设置的 `panels`（`settings::panels`），退出时还没存的当场写入（窗口位置同），启动时严格读回（不是正数即在设置窗口写明并用默认），写入失败也在设置窗口写明；开合动画期间不显示拖动边。
 - 2026-10-08：凭据与私密内容（C18.2，§18.2）。恢复密钥（加密文档的恢复副本用）存在系统凭据库（keyring：钥匙串、Windows 凭据、Secret Service）；凭据库不可用或拒绝时改用本次运行的随机密钥，只在内存（`RecoveryKey { key, lasting }`，`lasting` 为假即提示恢复不跨重启），从不写成普通文件；用旧密钥封存的恢复点读不开即报“无法恢复”，不导出明文。PDF 打开密码与证书密码只在 worker 内存里、文档关闭即弃。日志：worker 的 stderr 经 `ely_ipc::relay` 按其级别并入应用日志（原先从访达启动时 worker 的日志丢失），两个 worker 与应用一样读 `ELY_LOG`、默认 info（LOK worker 原读 `RUST_LOG`，平时只出错误）；日志调用不打印正文、密码、密钥；引擎（worker、内核、MuPDF）给的错误串可能引用文档，日志只记请求号与错误类别，全文只经回复交给界面；worker 的 stderr 只放行其结构化日志记录与崩溃栈帧，引擎自己打印的文字不进日志（只计数）。worker 启动失败也写成结构化记录，最后一条错误由 `Relay::last_error` 带进客户端的报错。诊断导出时姓名来源（账户名、设置）读不出即不导出并写明原因；日志尾部从整行开始。诊断（设置里的“诊断”，每个应用）：先列出要导出的内容（本应用日志的最新 4 MB、macOS 上 7 天内本应用与其 worker 的崩溃报告，列表在 AX 树里），开关“去掉路径与个人姓名”默认开（凡路径与 URL 整段换成 `<path>`：有引号到引号为止，否则到行末；分段标题只写文件名；账户全名、登录名与作者名按从长到短换成 `<user>`），导出为一个文本文件（`ely_platform::diagnostics`），不上传。Git 服务的凭据照用用户自己的 credential helper 与 ssh-agent；打开文件不发任何请求。未验证：Windows 与 Linux 的凭据库与崩溃报告位置（那两端诊断只含日志）。
 - 2026-10-08：配置（C18.1，§18.1）。通用偏好在 `<本机数据目录>/ElyOffice/settings.json`，各应用的在其数据目录的 `settings.json`；都经 `ely_platform::settings::Store`：带 `version`（本构建为 1；更新的版本或读不通即报错，不覆盖），写入在同目录的 `.settings.lock`（`ely_platform::lock::FileLock`，flock 或 LockFileEx，由 ely-files 移来共用）下先重读、只改所写的键、未知字段原样留下，临时文件 fsync 后原子替换；多个应用同时写不丢字段（单测八路并发）。通用字段（`settings::Shared`，类型不对即报错）：外观（跟随系统、浅色、深色）、语言（跟随系统、English、简体中文；下次启动生效，设置里写明）、动效（跟随系统、减少、完整）、跟随 Omarchy（只在有 Omarchy 时显示）、作者名（空即账户名；`user::name` 先取它，ElyPDF 的批注、LOK 的批注与修订都用它）。环境变量 `ELY_APPEARANCE`、`ELY_OMARCHY_SYNC`、`ELY_REDUCE_MOTION`、`ELY_LOCALE` 仍优先。`ely_ui::settings` 启动时读入（读不出即用默认值、记下原因），以 `notify` 监视文件夹，别的应用写入后即刻重读：外观、Omarchy、动效当场换，作者名经 `observe_global` 在后台交给 LOK worker（`set_author`）。设置窗口（应用菜单“设置…”，Cmd+,，每个应用一个）用组件库 `SettingsLayout`、`SettingsSection`、`SettingsRow`、`ThemeSelector`（组件 489ef31 起三项文字进内建中英目录）、`SegmentedControl`、`Switch`、`forms::Input`：通用；Doc、Table、Show、PDF 另有“文档”（作者名，失焦或回车写入）；ElyTree 另有“Git”（Git 程序，空即随带的；写入前在后台核对 2.40 或更新，不是即在框下以 Banner 说明、不写；`ely_platform::git::locate` 次序为 `ELY_GIT`、此设置、随带的，版本核对移入 `ely_platform::git::system_version`，下次启动 ElyTree 生效）。文件读不出时窗口上方以 Banner 写明原因，改动不保存。作者名与 Git 程序每次提交都编号，写入经 `Store::set_if` 在文件锁下核对仍是最新的提交才落盘（等锁期间改了主意，旧写入作废）；写入失败另以 Banner 写明，键入的值留着可重试；作者框在未编辑时跟随别的应用写入的名字。版本核对先看 `--version` 的退出状态（`git::version_of`）。各应用主窗口的位置、大小与最大化、全屏存在应用的设置里（`window`，停止移动 0.5 秒后写），启动时所记之处的中心仍在某块显示器上才用。未验证：Windows 与 Linux 的锁与窗口位置。
diff --git a/apps/ely-mark/src/look.rs b/apps/ely-mark/src/look.rs
index 3b1c042..1e53e3f 100644
--- a/apps/ely-mark/src/look.rs
+++ b/apps/ely-mark/src/look.rs
@@ -195,7 +195,10 @@ impl Desk {
 #[cfg(test)]
 mod tests {
     use ely_gpui_component::documents::DocumentLook;
-    use gpui::{Entity, TestAppContext, VisualTestContext, rems};
+    use gpui::{
+        Entity, Modifiers, ScrollDelta, ScrollWheelEvent, TestAppContext, VisualTestContext,
+        point, rems,
+    };
 
     use crate::desk::{
         Desk,
@@ -275,4 +278,40 @@ mod tests {
             (super::Width::Wide, super::Font::Serif, 120)
         );
     }
+
+    #[gpui::test]
+    fn ctrl_and_the_wheel_size_the_text(cx: &mut TestAppContext) {
+        let (data, files) = (
+            tempfile::tempdir().expect("data"),
+            tempfile::tempdir().expect("files"),
+        );
+        let path = files.path().join("a.md");
+        std::fs::write(&path, "a
+").expect("a file");
+        let (desk, cx) = start(cx, data.path());
+        open(&desk, &path, cx);
+        let focus = desk.read_with(cx, |desk, _| desk.core.focus.clone());
+        cx.update(|window, cx| window.focus(&focus, cx));
+        let at = cx.update(|window, _| window.viewport_size()).center();
+        let wheel = |modifiers, y| ScrollWheelEvent {
+            position: at,
+            delta: ScrollDelta::Lines(point(0.0, y)),
+            modifiers,
+            ..Default::default()
+        };
+        let other = match cfg!(target_os = "macos") {
+            true => Modifiers { control: true, ..Default::default() },
+            false => Modifiers { platform: true, ..Default::default() },
+        };
+        cx.simulate_event(wheel(other, 3.0));
+        cx.run_until_parked();
+        assert_eq!(document_look(&desk, cx).scale, 1.0, "only Ctrl, or Cmd on macOS");
+        cx.simulate_event(wheel(Modifiers::secondary_key(), 3.0));
+        cx.run_until_parked();
+        assert_eq!(document_look(&desk, cx).scale, 1.1, "a notch is one step");
+        cx.simulate_event(wheel(Modifiers::secondary_key(), -1.0));
+        cx.simulate_event(wheel(Modifiers::secondary_key(), -1.0));
+        cx.run_until_parked();
+        assert_eq!(document_look(&desk, cx).scale, 0.9);
+    }
 }
diff --git a/apps/ely-mark/src/view.rs b/apps/ely-mark/src/view.rs
index fb9293b..c4c7e9f 100644
--- a/apps/ely-mark/src/view.rs
+++ b/apps/ely-mark/src/view.rs
@@ -79,6 +79,8 @@ pub struct MarkView {
     pub(crate) folder: Option<PathBuf>,
     /// The mode first took input (PERF-07).
     pub(crate) shown: bool,
+    /// Trackpad pixels toward the next size step.
+    wheel: f32,
     pub focus: FocusHandle,
 }
 
@@ -123,6 +125,7 @@ impl MarkView {
             mode,
             folder: None,
             shown: false,
+            wheel: 0.0,
             focus,
         }
     }
@@ -301,11 +304,24 @@ impl MarkView {
 }
 
 impl Render for MarkView {
-    fn render(&mut self, _: &mut Window, _: &mut Context<Self>) -> impl IntoElement {
+    fn render(&mut self, _: &mut Window, cx: &mut Context<Self>) -> impl IntoElement {
+        let view = cx.entity();
+        // Ctrl and the wheel size text, as Ctrl+= does.
+        let zoom = ely_ui::wheel::zoom_layer(move |event, window, cx| {
+            let steps = view.update(cx, |view, _| ely_ui::wheel::steps(event, &mut view.wheel));
+            for _ in 0..steps.unsigned_abs() {
+                match steps > 0 {
+                    true => window.dispatch_action(Box::new(crate::look::Larger), cx),
+                    false => window.dispatch_action(Box::new(crate::look::Smaller), cx),
+                }
+            }
+        });
         div()
+            .relative()
             .size_full()
             .track_focus(&self.focus)
             .child(self.document.clone())
+            .child(zoom)
     }
 }
 
diff --git a/apps/ely-pdf/src/pages.rs b/apps/ely-pdf/src/pages.rs
index b0eb542..b5f5fb2 100644
--- a/apps/ely-pdf/src/pages.rs
+++ b/apps/ely-pdf/src/pages.rs
@@ -198,7 +198,7 @@ impl PdfView {
             })
             .collect();
         let this = cx.entity();
-        let (down, moved, up) = (this.clone(), this.clone(), this.clone());
+        let (down, moved, up, wheeled) = (this.clone(), this.clone(), this.clone(), this.clone());
         let pages = div()
             .id("pdf-pages")
             .size_full()
@@ -249,7 +249,10 @@ impl PdfView {
         .top_0()
         .left_0()
         .size_full();
-        div().relative().size_full().child(pages).child(measure).into_any_element()
+        let zoom = ely_ui::wheel::zoom_layer(move |event, _, cx| {
+            wheeled.update(cx, |view, cx| view.wheel_zoom(event, cx))
+        });
+        div().relative().size_full().child(pages).child(measure).child(zoom).into_any_element()
     }
 
     /// Asks for the first missing tile, one at a time.
diff --git a/apps/ely-pdf/src/tests/view.rs b/apps/ely-pdf/src/tests/view.rs
index 975ea9a..af3bea1 100644
--- a/apps/ely-pdf/src/tests/view.rs
+++ b/apps/ely-pdf/src/tests/view.rs
@@ -1,7 +1,7 @@
 //! Password prompts, zoomed pairs, jumps across (C11.1).
 
 use ely_office::{Dialog, Dialogs as _, Tabs as _};
-use gpui::{Entity, TestAppContext, VisualTestContext, point, px};
+use gpui::{Entity, Modifiers, ScrollDelta, ScrollWheelEvent, TestAppContext, VisualTestContext, point, px};
 
 use super::{file, frames, settle, shown, windowed};
 use crate::layout::{Mode, Zoom};
@@ -113,3 +113,34 @@ fn a_jump_to_the_right_page_brings_it_across() {
     });
     assert!(x >= left && x < left + wide, "page at {x}, view {left}..{}", left + wide);
 }
+
+#[test]
+fn ctrl_and_a_wheel_notch_step_the_zoom_once() {
+    let dir = tempfile::tempdir().expect("a temp dir");
+    let mut cx = TestAppContext::single();
+    let pages: &[(f32, f32, &[&str])] = &[(612.0, 792.0, &["one"]), (612.0, 792.0, &["two"]), (612.0, 792.0, &["three"])];
+    let (viewer, cx) = windowed(&mut cx, dir.path(), &[file(dir.path(), "three.pdf", pages)], true);
+    let view = shown(cx, &viewer);
+    settle(cx, |app| view.read(app).room.size.width > px(100.0));
+    cx.update(|_, app| view.update(app, |view, cx| view.change(|view, _| view.zoom = Zoom::Scale(1.0), cx)));
+    frames(cx);
+    let at = cx.update(|_, app| view.read(app).room.center());
+    let wheel = |modifiers, y| ScrollWheelEvent { position: at, delta: ScrollDelta::Lines(point(0.0, y)), modifiers, ..Default::default() };
+    let other = match cfg!(target_os = "macos") {
+        true => Modifiers { control: true, ..Default::default() },
+        false => Modifiers { platform: true, ..Default::default() },
+    };
+    let read = |cx: &mut VisualTestContext| cx.update(|_, app| (view.read(app).zoom, view.read(app).scroll.offset().y));
+    cx.simulate_event(wheel(other, -3.0));
+    frames(cx);
+    let (zoom, scrolled) = read(cx);
+    assert_eq!(zoom, Zoom::Scale(1.0), "only Ctrl, or Cmd on macOS");
+    assert!(scrolled < px(0.0), "a plain wheel scrolls");
+    cx.simulate_event(wheel(Modifiers::secondary_key(), 3.0));
+    frames(cx);
+    assert_eq!(read(cx).0, Zoom::Scale(crate::keys::stepped(1.0, true)), "a notch is one step");
+    cx.simulate_event(wheel(Modifiers::secondary_key(), -3.0));
+    cx.simulate_event(wheel(Modifiers::secondary_key(), -3.0));
+    frames(cx);
+    assert_eq!(read(cx).0, Zoom::Scale(crate::keys::stepped(1.0, false)));
+}
diff --git a/apps/ely-pdf/src/view.rs b/apps/ely-pdf/src/view.rs
index 8f9e212..ad0904f 100644
--- a/apps/ely-pdf/src/view.rs
+++ b/apps/ely-pdf/src/view.rs
@@ -70,6 +70,8 @@ pub struct PdfView {
     pub painting: bool,
     /// The view's size and place, as last painted.
     pub room: gpui::Bounds<gpui::Pixels>,
+    /// Trackpad pixels toward the next zoom step.
+    pub wheel: f32,
     pub focus: FocusHandle,
     /// Counts edits; replies from before one are dropped.
     pub version: u64,
@@ -199,6 +201,7 @@ impl PdfView {
             go_to: None,
             painting: false,
             room: gpui::Bounds::default(),
+            wheel: 0.0,
             focus: cx.focus_handle(),
             version: 0,
             edited: 0,
@@ -354,6 +357,14 @@ impl PdfView {
         self.show(self.current, 0.0, cx);
     }
 
+    /// Ctrl (Cmd on macOS) and the wheel step the zoom.
+    pub fn wheel_zoom(&mut self, event: &gpui::ScrollWheelEvent, cx: &mut Context<Self>) {
+        let steps = ely_ui::wheel::steps(event, &mut self.wheel);
+        for _ in 0..steps.unsigned_abs() {
+            self.change(|view, now| view.zoom = Zoom::Scale(crate::keys::stepped(now, steps > 0)), cx);
+        }
+    }
+
     /// Moves `by` pages; continuous views scroll there.
     pub fn turn(&mut self, by: isize, cx: &mut Context<Self>) {
         let last = self.sizes.len().saturating_sub(1) as isize;
diff --git a/crates/ely-lok/src/view/tests.rs b/crates/ely-lok/src/view/tests.rs
index 20aa306..2c70c92 100644
--- a/crates/ely-lok/src/view/tests.rs
+++ b/crates/ely-lok/src/view/tests.rs
@@ -425,3 +425,43 @@ fn zooming_keeps_the_pointed_spot_and_walks_the_steps() {
         });
     });
 }
+
+#[test]
+fn ctrl_and_a_notch_zoom_one_step_about_the_pointer() {
+    let Some(install) = crate::client::tests::install() else {
+        eprintln!("SKIP: no pinned LOK build");
+        return;
+    };
+    let cx = gpui::TestAppContext::single();
+    cx.update(|app| {
+        let (view, _) = live_view(app, &install);
+        view.update(app, |view, cx| {
+            view.viewport = (800.0, 600.0);
+            view.origin = gpui::point(gpui::px(0.0), gpui::px(0.0));
+            view.doc_size = (60_000, 80_000);
+            view.scroll = (3_000, 9_000);
+            view.set_zoom(1.0, cx);
+            let at = gpui::point(gpui::px(300.0), gpui::px(200.0));
+            let wheel = |modifiers, y| gpui::ScrollWheelEvent {
+                position: at,
+                delta: gpui::ScrollDelta::Lines(gpui::point(0.0, y)),
+                modifiers,
+                ..Default::default()
+            };
+            let other = match cfg!(target_os = "macos") {
+                true => gpui::Modifiers { control: true, ..Default::default() },
+                false => gpui::Modifiers { platform: true, ..Default::default() },
+            };
+            assert!(!view.wheel_zoom(&wheel(other, 3.0), cx), "only Ctrl, or Cmd on macOS");
+            assert_eq!(view.zoom(), 1.0);
+            let spot = |view: &LokView| view.scroll.1 + view.geom.twips_of(200.0);
+            let before = spot(view);
+            assert!(view.wheel_zoom(&wheel(gpui::Modifiers::secondary_key(), 3.0), cx));
+            assert_eq!(view.zoom(), 1.25, "a three-line notch is one step");
+            assert!((spot(view) - before).abs() <= 1, "the pointed spot stays");
+            view.wheel_zoom(&wheel(gpui::Modifiers::secondary_key(), -1.0), cx);
+            view.wheel_zoom(&wheel(gpui::Modifiers::secondary_key(), -1.0), cx);
+            assert_eq!(view.zoom(), 0.8);
+        });
+    });
+}
diff --git a/crates/ely-lok/src/view/zoom.rs b/crates/ely-lok/src/view/zoom.rs
index b80ca07..4d10d17 100644
--- a/crates/ely-lok/src/view/zoom.rs
+++ b/crates/ely-lok/src/view/zoom.rs
@@ -32,12 +32,7 @@ impl LokView {
 
     /// The next step in or out from the zoom now.
     pub fn zoom_step(&mut self, larger: bool, cx: &mut Context<Self>) {
-        let now = self.geom.zoom;
-        let next = match larger {
-            true => ZOOM_STEPS.into_iter().find(|step| *step > now + 0.001).unwrap_or(MOST),
-            false => ZOOM_STEPS.into_iter().rev().find(|step| *step < now - 0.001).unwrap_or(LEAST),
-        };
-        self.zoom_at(next, None, cx);
+        self.zoom_at(next_step(self.geom.zoom, larger), None, cx);
     }
 
     /// Zooms keeping `at` (window pixels) still; none keeps the middle.
@@ -70,17 +65,25 @@ impl LokView {
         cx.notify();
     }
 
-    /// Command with the wheel zooms; otherwise it scrolls.
+    /// Ctrl (Cmd on macOS) with the wheel zooms; else it scrolls.
     pub(super) fn on_wheel(&mut self, event: &ScrollWheelEvent, window: &mut Window, cx: &mut Context<Self>) {
-        if !event.modifiers.platform {
-            return self.on_scroll(event, window, cx);
+        if !self.wheel_zoom(event, cx) {
+            self.on_scroll(event, window, cx);
         }
-        let dy = match event.delta {
-            ScrollDelta::Pixels(point) => f32::from(point.y),
-            ScrollDelta::Lines(point) => point.y * 40.0,
+    }
+
+    /// A notch is one step; a trackpad zooms smoothly.
+    pub(super) fn wheel_zoom(&mut self, event: &ScrollWheelEvent, cx: &mut Context<Self>) -> bool {
+        if !event.modifiers.secondary() {
+            return false;
+        }
+        let zoom = match event.delta {
+            ScrollDelta::Lines(lines) if lines.y == 0.0 => return true,
+            ScrollDelta::Lines(lines) => next_step(self.geom.zoom, lines.y > 0.0),
+            ScrollDelta::Pixels(point) => self.geom.zoom * (f32::from(point.y) / 200.0).exp(),
         };
-        let zoom = self.geom.zoom * (dy / 200.0).exp();
         self.zoom_at(zoom, Some(event.position), cx);
+        true
     }
 
     /// A trackpad pinch zooms about its centre.
@@ -89,3 +92,11 @@ impl LokView {
         self.zoom_at(zoom, Some(event.position), cx);
     }
 }
+
+/// The next step in or out from `now`.
+fn next_step(now: f32, larger: bool) -> f32 {
+    match larger {
+        true => ZOOM_STEPS.into_iter().find(|step| *step > now + 0.001).unwrap_or(MOST),
+        false => ZOOM_STEPS.into_iter().rev().find(|step| *step < now - 0.001).unwrap_or(LEAST),
+    }
+}
diff --git a/crates/ely-ui/src/lib.rs b/crates/ely-ui/src/lib.rs
index 268e590..737c84c 100644
--- a/crates/ely-ui/src/lib.rs
+++ b/crates/ely-ui/src/lib.rs
@@ -8,6 +8,7 @@ pub mod tasks;
 mod theme;
 pub mod updates;
 pub mod watching;
+pub mod wheel;
 
 pub use opening::{launch_files, on_open};
 #[cfg(any(test, feature = "test-support"))]
diff --git a/crates/ely-ui/src/wheel.rs b/crates/ely-ui/src/wheel.rs
new file mode 100644
index 0000000..b81c1de
--- /dev/null
+++ b/crates/ely-ui/src/wheel.rs
@@ -0,0 +1,85 @@
+//! Ctrl (Cmd on macOS) and the wheel step a zoom.
+
+use gpui::{
+    App, DispatchPhase, HitboxBehavior, IntoElement, ScrollDelta, ScrollWheelEvent, Styled as _,
+    Window, canvas,
+};
+
+/// Trackpad pixels one step takes.
+const STEP: f32 = 50.0;
+
+/// Steps `event` makes, plus is larger; `carry` keeps trackpad rest.
+pub fn steps(event: &ScrollWheelEvent, carry: &mut f32) -> i32 {
+    match event.delta {
+        ScrollDelta::Lines(lines) => match lines.y {
+            0.0 => 0,
+            y => y.signum() as i32,
+        },
+        ScrollDelta::Pixels(point) => {
+            *carry += f32::from(point.y);
+            let whole = (*carry / STEP).trunc();
+            *carry -= whole * STEP;
+            whole as i32
+        }
+    }
+}
+
+/// Over its parent, takes a zooming wheel before the parent scrolls.
+pub fn zoom_layer(
+    on: impl Fn(&ScrollWheelEvent, &mut Window, &mut App) + 'static,
+) -> impl IntoElement {
+    canvas(
+        |bounds, window, _| window.insert_hitbox(bounds, HitboxBehavior::Normal),
+        move |_, hitbox, window, _| {
+            window.on_mouse_event(move |event: &ScrollWheelEvent, phase, window, cx| {
+                if phase == DispatchPhase::Capture
+                    && event.modifiers.secondary()
+                    && hitbox.is_hovered(window)
+                {
+                    cx.stop_propagation();
+                    on(event, window, cx);
+                }
+            })
+        },
+    )
+    .absolute()
+    .top_0()
+    .left_0()
+    .size_full()
+}
+
+#[cfg(test)]
+mod tests {
+    use gpui::{ScrollDelta, ScrollWheelEvent, point, px};
+
+    use super::steps;
+
+    fn wheel(delta: ScrollDelta) -> ScrollWheelEvent {
+        ScrollWheelEvent {
+            delta,
+            ..Default::default()
+        }
+    }
+
+    #[test]
+    fn a_notch_is_one_step_and_pixels_add_up() {
+        let mut carry = 0.0;
+        assert_eq!(
+            steps(&wheel(ScrollDelta::Lines(point(0.0, 3.0))), &mut carry),
+            1
+        );
+        assert_eq!(
+            steps(&wheel(ScrollDelta::Lines(point(0.0, -1.0))), &mut carry),
+            -1
+        );
+        assert_eq!(
+            steps(&wheel(ScrollDelta::Lines(point(2.0, 0.0))), &mut carry),
+            0
+        );
+        let pixels = |y| wheel(ScrollDelta::Pixels(point(px(0.0), px(y))));
+        assert_eq!(steps(&pixels(30.0), &mut carry), 0);
+        assert_eq!(steps(&pixels(30.0), &mut carry), 1);
+        assert_eq!(carry, 10.0);
+        assert_eq!(steps(&pixels(-120.0), &mut carry), -2);
+    }
+}
diff --git a/tasks/TASKS.md b/tasks/TASKS.md
index 7f77b5a..52d15f7 100644
--- a/tasks/TASKS.md
+++ b/tasks/TASKS.md
@@ -225,6 +225,6 @@
 ## R3 0.1.4（用户 2026-10-12 报：Windows 与 Linux 上的路径、缩放、表格指针；修完提交、推送，版本 0.1.4，不发布）
 
 - [x] R3.1 路径不带 `\?\`：凡取真实路径一律 `dunce::canonicalize`（Windows 上能写成普通路径即普通路径，他处同 `std::fs::canonicalize`）；最近列表读入时去掉旧的 `\?\` 并去重；ElyMark 最近列表、ElyTree 等界面不再显示 `\?\` — R1 先简化文件夹再接文件名（结尾空格的名字改写已打开的文件）、暂存文件名越过 260；R2 另存后会话路径与测试不一；R3 PASS
-- [ ] R3.2 缩放：Doc、Table、Show、PDF、Mark 以 Ctrl 加滚轮（macOS 为 Cmd）缩放，原认 Windows 键与 Super（Hyprland 占用，Linux 上无效）；滚轮一格为一档（原 Windows 一格三行，一下放大 1.8 倍），触控板的像素滚动照旧连续（LOK）或累积成档（PDF、Mark）；PDF 与 Mark 原无滚轮缩放
+- [x] R3.2 缩放：Doc、Table、Show、PDF、Mark 以 Ctrl 加滚轮（macOS 为 Cmd）缩放，原认 Windows 键与 Super（Hyprland 占用，Linux 上无效）；滚轮一格为一档（原 Windows 一格三行，一下放大 1.8 倍），触控板的像素滚动照旧连续（LOK）或累积成档（PDF、Mark）；PDF 与 Mark 原无滚轮缩放
 - [ ] R3.3 LOK 视图的指针随内核：`LOK_CALLBACK_MOUSE_POINTER`（单元格上为箭头，编辑单元格或文字时为文字指针，边线为拖动指针，链接为手），原一律为文字指针
-- [ ] R3.4 版本 0.1.4：`Cargo.toml` 与随版本的文档，提交并推送 main（不打标签、不发布）
+- [ ] R3.4 版本 0.1.4：`Cargo.toml` 与随版本的文档，提交并推送 main，打标签 v0.1.4，本机建三端并发布（用户定，R3.2 审查略去）