diff --git a/.github/workflows/release.yml b/.github/workflows/release.yml
index 59ab4a0..c6d5d51 100644
--- a/.github/workflows/release.yml
+++ b/.github/workflows/release.yml
@@ -12,6 +12,15 @@ on:
   # Manual re-run for resuming a rate-limited publish; skips crates whose
   # version is already on the registry.
   workflow_dispatch:
+    inputs:
+      tag:
+        description: >-
+          The release tag this run is finishing, e.g. v2.0.0. Required to
+          move the floating major tag; a resumed publish that left `vN`
+          behind is a release whose documented ref still points at the
+          previous version, which is the failure `float-major-tag` exists
+          to prevent.
+        required: false
 
 permissions:
   contents: read
@@ -115,7 +124,13 @@ jobs:
   # `v1` here cannot re-enter this workflow.
   float-major-tag:
     needs: publish
-    if: github.event_name == 'push' && github.ref_type == 'tag'
+    # A tag push carries the tag in `ref_name`; a dispatch has to be told.
+    # Runs for both, because RELEASING documents resuming a rate-limited
+    # publish by dispatch — and a resumed release that skipped this job is a
+    # release whose documented `@vN` still points at the previous version.
+    if: >-
+      (github.event_name == 'push' && github.ref_type == 'tag')
+      || (github.event_name == 'workflow_dispatch' && inputs.tag != '')
     runs-on: ubuntu-latest
     permissions:
       contents: write # moves refs/tags/vN
@@ -123,11 +138,20 @@ jobs:
       - uses: actions/checkout@v4
         with:
           fetch-depth: 0
-      - name: Point vN at ${{ github.ref_name }}
+      - name: Point vN at the release tag
         env:
-          TAG: ${{ github.ref_name }}
+          TAG: ${{ github.event_name == 'push' && github.ref_name || inputs.tag }}
         run: |
           set -euo pipefail
+          # A dispatch can be handed anything, so the tag has to exist and be
+          # a version before a floating pointer is aimed at it.
+          git rev-parse -q --verify "refs/tags/${TAG}^{commit}" >/dev/null || {
+            echo "::error::no such tag: '$TAG'"; exit 1
+          }
+          case "$TAG" in
+            v[0-9]*.[0-9]*.[0-9]*) ;;
+            *) echo "::error::'$TAG' is not a release tag (expected vX.Y.Z)"; exit 1 ;;
+          esac
           major="v${TAG#v}"
           major="${major%%.*}"
           case "$major" in
diff --git a/docs/RELEASING.md b/docs/RELEASING.md
index 6d92627..ff57f3f 100644
--- a/docs/RELEASING.md
+++ b/docs/RELEASING.md
@@ -48,6 +48,17 @@ git tag vX.Y.Z && git push origin vX.Y.Z
 Pushing the tag runs `release.yml`, which gates, then publishes each crate in
 order via Trusted Publishing.
 
+### The floating major tag
+
+`release.yml` moves `vN` to each release, so `@v2` follows 2.x without a
+manual step. It is covered by the `protect-release-tags` ruleset only up to
+`refs/tags/v*.*.*` — release tags are immutable, floating pointers are not,
+because being moved is the whole of what a floating pointer is for.
+
+That distinction was learned the hard way: the ruleset originally covered
+`refs/tags/v*`, so the job could not create `v2` at all and 2.0.0's floating
+tag had to be pushed by hand.
+
 ## After the tag
 
 - **The GitHub Release is created by hand**, from the CHANGELOG section:
@@ -73,8 +84,17 @@ order via Trusted Publishing.
 
 - **Before publish**: fix, delete the tag (`git push --delete origin vX.Y.Z`),
   re-tag. Nothing was published; the world never saw it.
-- **Part-way through the eight crates**: re-run `release.yml` by dispatch. It
-  skips what is already on the registry.
+- **Part-way through the eight crates**: re-run `release.yml` by dispatch,
+  passing the tag:
+
+  ```sh
+  gh workflow run release.yml -f tag=vX.Y.Z
+  ```
+
+  It skips what is already on the registry, then moves `vN`. The tag is an
+  input rather than inferred because a dispatch has no tag of its own, and a
+  resumed release that skipped the floating tag is a release whose documented
+  `@vN` still points at the previous version.
 - **After publish**: crates.io is immutable. Ship `X.Y.Z+1`. Yank only if the
   release is actively harmful — a yanked crate still breaks downstream
   lockfiles.