diff --git a/src/content/blog/2026-09-05-frontier-closed.adoc b/src/content/blog/2026-09-05-frontier-closed.adoc
index 504fb44..c2e7e5f 100644
--- a/src/content/blog/2026-09-05-frontier-closed.adoc
+++ b/src/content/blog/2026-09-05-frontier-closed.adoc
@@ -6,12 +6,12 @@ v1.0, 2026-09-05
 
 == Introduction
 
-Two weeks ago the phonological layer shipped with an honest gap: the
-Arabic client student scored 8.26 on the full benchmark — a disclosed
-miss. This week that gap closed the only way gaps should close: every
-rung measured on the full set, confidence intervals on every
-separation, and the two causal hypotheses that remained both tested to
-a verdict. One verdict was negative. That is the point.
+Two weeks ago the phonological layer shipped with a disclosed gap:
+the Arabic client model scored 8.26 on the full benchmark. This week
+every rung was measured on the full test set, with confidence
+intervals on each separation, and the two remaining hypotheses were
+both tested. One test came back negative, and that result is published
+here with the rest.
 
 == The frontier, bracketed
 
@@ -76,8 +76,7 @@ Every leaderboard number we publish can now be re-derived by anyone:
 
 The tool reproduces our published verdicts exactly — it re-derives this
 week's 4.8231 run from its raw predictions and the public benchmark,
-intervals included. Protocol-matched comparison should be a command,
-not a promise.
+intervals included. The comparison is a command, not a claim.
 
 == Where this leaves the stack
 
diff --git a/src/pages/about.astro b/src/pages/about.astro
index 4faf659..aa41a7d 100644
--- a/src/pages/about.astro
+++ b/src/pages/about.astro
@@ -137,8 +137,8 @@ const partners: Partner[] = [
           run in a web browser.
         </p>
         <p>
-          Every score, the method used to produce it, and the full results table are on
-          <a href="/ml">the neural layer page</a>.
+          Every score, the method used to produce it, and the full results
+          table are on <a href="/ml">the neural layer page</a>.
         </p>
       </section>
 
diff --git a/src/pages/api.astro b/src/pages/api.astro
index 6c0795f..6fb4249 100644
--- a/src/pages/api.astro
+++ b/src/pages/api.astro
@@ -24,8 +24,8 @@ const playgroundSystems = [
         The REST API runs at <code>https://api.interscript.org/v1</code>. No account, no API key.
         Send a POST request with a JSON body. Endpoints: <code>/transliterate</code> (one
         conversion), <code>/transliterate/batch</code> (many), <code>/systems</code> (the 289-system
-        catalogue), <code>/detect</code> (which system explains a source–target pair), and
-        <code>/infer</code> (neural models — diacritization and grapheme-to-phoneme). Responses
+        catalogue), <code>/detect</code> (which system explains a source–target pair),
+        and <code>/infer</code> (neural models — diacritization and grapheme-to-phoneme). Responses
         allow cross-origin requests, so browser scripts can call the API directly.
       </p>
       <pre
diff --git a/src/pages/index.astro b/src/pages/index.astro
index 7e2b86f..c9b71d8 100644
--- a/src/pages/index.astro
+++ b/src/pages/index.astro
@@ -47,6 +47,7 @@ for (const code of systemCodes) {
         <div class="hero-cta">
           <a class="btn btn-accent" href="/demo">Try live transliteration →</a>
           <a class="btn btn-ghost" href="/maps">Browse {totalSystems} systems</a>
+          <a class="btn btn-ghost" href="/docs/libraries">Use it in your code</a>
         </div>
         <dl class="hero-stats tnum">
           <div>
diff --git a/src/pages/ml.astro b/src/pages/ml.astro
index bdd7950..5920470 100644
--- a/src/pages/ml.astro
+++ b/src/pages/ml.astro
@@ -469,8 +469,8 @@ model.translate("สวัสดี")
         >. Both are read at call time in all three runtimes.
       </p>
       <p class="env-note">
-        Without installing anything: the same models answer the REST endpoint
-        <code>POST https://api.interscript.org/v1/infer</code> (open CORS, no key), and run in the
+        Without installing anything: the same models answer the REST
+        endpoint <code>POST https://api.interscript.org/v1/infer</code> (open CORS, no key), and run in the
         browser at <a href="/neural">the demo page</a>. In a script with no build step, the map
         layer loads from <a href="https://esm.sh/interscript@5.3.1">esm.sh</a> — full recipe in the
         package's <code>docs/CDN.md</code>.
diff --git a/src/pages/playground.astro b/src/pages/playground.astro
index 0323a1b..20c1377 100644
--- a/src/pages/playground.astro
+++ b/src/pages/playground.astro
@@ -15,9 +15,9 @@ const systems = Object.entries(catalogue as Record<string, { data: { name: strin
   <section class="page-narrow">
     <h1>Playground</h1>
     <p>
-      The whole stack runs in your browser: 289 authority systems, plus the
-      neural layer for the conversions no committee ever published. Nothing
-      leaves the page.
+      Runs entirely in your browser: {289} authority systems and the neural
+      models for text that has no published system. No text is sent to a
+      server.
     </p>
 
     <div class="grid">
diff --git a/test/site.test.ts b/test/site.test.ts
index abd4cf7..e57137a 100644
--- a/test/site.test.ts
+++ b/test/site.test.ts
@@ -215,7 +215,7 @@ describe("home page", () => {
 
   it("shows install command in CTA", () => {
     expect(home).toContain("gem install interscript")
-    expect(home).toContain("npm install interscript-ts")
+    expect(home).toContain("npm install interscript")
   })
 })