diff --git a/src/mem/chunkmap.h b/src/mem/chunkmap.h
index 8f00992..343e366 100644
--- a/src/mem/chunkmap.h
+++ b/src/mem/chunkmap.h
@@ -138,26 +138,23 @@ namespace snmalloc
     inline static ChunkmapPagemap* external_pagemap;
 
   public:
-    /**
-     * Constructor.  Accesses the pagemap via the C ABI accessor and casts it to
-     * the expected type, failing in cases of ABI mismatch.
-     */
-    ExternalGlobalPagemap()
-    {
-      const snmalloc::PagemapConfig* c;
-      external_pagemap =
-        ChunkmapPagemap::cast_to_pagemap(snmalloc_pagemap_global_get(&c), c);
-      if (!external_pagemap)
-      {
-        Pal::error("Incorrect ABI of global pagemap.");
-      }
-    }
-
     /**
      * Returns the exported pagemap.
+     * Accesses the pagemap via the C ABI accessor and casts it to
+     * the expected type, failing in cases of ABI mismatch.
      */
     static ChunkmapPagemap& pagemap()
     {
+      if (external_pagemap == nullptr)
+      {
+        const snmalloc::PagemapConfig* c = nullptr;
+        void* raw_pagemap = snmalloc_pagemap_global_get(&c);
+        external_pagemap = ChunkmapPagemap::cast_to_pagemap(raw_pagemap, c);
+        if (!external_pagemap)
+        {
+          Pal::error("Incorrect ABI of global pagemap.");
+        }
+      }
       return *external_pagemap;
     }
   };
diff --git a/src/mem/pagemap.h b/src/mem/pagemap.h
index 5b78572..798c1c9 100644
--- a/src/mem/pagemap.h
+++ b/src/mem/pagemap.h
@@ -395,7 +395,7 @@ namespace snmalloc
      */
     size_t index_for_address(uintptr_t p)
     {
-      return bits::align_down(static_cast<size_t>(p) >> SHIFT, OS_PAGE_SIZE);
+      return (static_cast<size_t>(p) >> SHIFT) % OS_PAGE_SIZE;
     }
 
     /**
diff --git a/src/test/func/external_pagemap/external_pagemap.cc b/src/test/func/external_pagemap/external_pagemap.cc
new file mode 100644
index 0000000..2e56be2
--- /dev/null
+++ b/src/test/func/external_pagemap/external_pagemap.cc
@@ -0,0 +1,30 @@
+#if defined(SNMALLOC_PASS_THROUGH) || defined(_WIN32)
+// This test does not make sense with malloc pass-through, skip it.
+// The malloc definitions are also currently incompatible with Windows headers
+// so skip this test on Windows as well.
+int main()
+{
+  return 0;
+}
+#else
+#  define SNMALLOC_EXPOSE_PAGEMAP 1
+#  include <override/malloc.cc>
+
+int main()
+{
+  auto& p = ExternalGlobalPagemap::pagemap();
+  auto& global = GlobalPagemap::pagemap();
+  SNMALLOC_CHECK(&p == &global);
+  // Get a valid heap address
+  uintptr_t addr = reinterpret_cast<uintptr_t>(malloc(42));
+  // Make this very strongly aligned
+  addr &= ~0xfffffULL;
+  void* page = p.page_for_address(addr);
+  SNMALLOC_CHECK(page == p.page_for_address(addr + 128));
+  size_t idx = p.index_for_address(addr);
+  size_t idx2 = p.index_for_address(addr + SUPERSLAB_SIZE);
+  // If the pagemap ends up storing things that are not uint8_t, this test
+  // will need modifying.
+  SNMALLOC_CHECK(idx2 = ((idx + 1) % OS_PAGE_SIZE));
+}
+#endif