diff --git a/source/utilities.tex b/source/utilities.tex
index a81d5265f5..0a05e21cf6 100644
--- a/source/utilities.tex
+++ b/source/utilities.tex
@@ -8924,7 +8924,7 @@
 
 \rSec1[smartptr]{Smart pointers}
 
-\rSec2[unique.ptr]{Class template \tcode{unique_ptr}}
+\rSec2[unique.ptr]{Unique-ownership pointers}
 
 \rSec3[unique.ptr.general]{General}
 
@@ -10161,7 +10161,9 @@
 \tcode{os}.
 \end{itemdescr}
 
-\rSec2[util.smartptr.weak.bad]{Class \tcode{bad_weak_ptr}}%
+\rSec2[util.sharedptr]{Shared-ownership pointers}
+
+\rSec3[util.smartptr.weak.bad]{Class \tcode{bad_weak_ptr}}%
 \indextext{smart pointers|(}%
 
 \indexlibraryglobal{bad_weak_ptr}%
@@ -10190,9 +10192,9 @@
 An \impldef{return value of \tcode{bad_weak_ptr::what}} \ntbs{}.
 \end{itemdescr}
 
-\rSec2[util.smartptr.shared]{Class template \tcode{shared_ptr}}
+\rSec3[util.smartptr.shared]{Class template \tcode{shared_ptr}}
 
-\rSec3[util.smartptr.shared.general]{General}
+\rSec4[util.smartptr.shared.general]{General}
 
 \pnum
 \indexlibraryglobal{shared_ptr}%
@@ -10317,7 +10319,7 @@
 \tcode{Y*} is convertible to \tcode{T*} or
 \tcode{Y} is \tcode{U[N]} and \tcode{T} is \cv{}~\tcode{U[]}.
 
-\rSec3[util.smartptr.shared.const]{Constructors}
+\rSec4[util.smartptr.shared.const]{Constructors}
 
 \pnum
 In the constructor definitions below,
@@ -10573,7 +10575,7 @@
 If an exception is thrown, the constructor has no effect.
 \end{itemdescr}
 
-\rSec3[util.smartptr.shared.dest]{Destructor}
+\rSec4[util.smartptr.shared.dest]{Destructor}
 
 \indexlibrarydtor{shared_ptr}%
 \begin{itemdecl}
@@ -10607,7 +10609,7 @@
 than its previous value.
 \end{note}
 
-\rSec3[util.smartptr.shared.assign]{Assignment}
+\rSec4[util.smartptr.shared.assign]{Assignment}
 
 \indexlibrarymember{operator=}{shared_ptr}%
 \begin{itemdecl}
@@ -10672,7 +10674,7 @@
 \tcode{*this}.
 \end{itemdescr}
 
-\rSec3[util.smartptr.shared.mod]{Modifiers}
+\rSec4[util.smartptr.shared.mod]{Modifiers}
 
 \indexlibrarymember{swap}{shared_ptr}%
 \begin{itemdecl}
@@ -10730,7 +10732,7 @@
 Equivalent to \tcode{shared_ptr(p, d, a).swap(*this)}.
 \end{itemdescr}
 
-\rSec3[util.smartptr.shared.obs]{Observers}
+\rSec4[util.smartptr.shared.obs]{Observers}
 \indexlibrarymember{get}{shared_ptr}%
 \begin{itemdecl}
 element_type* get() const noexcept;
@@ -10886,7 +10888,7 @@
 
 \end{itemdescr}
 
-\rSec3[util.smartptr.shared.create]{Creation}
+\rSec4[util.smartptr.shared.create]{Creation}
 
 \pnum
 The common requirements that apply to all
@@ -11259,7 +11261,7 @@
 \end{example}
 \end{itemdescr}
 
-\rSec3[util.smartptr.shared.cmp]{Comparison}
+\rSec4[util.smartptr.shared.cmp]{Comparison}
 
 \indexlibrarymember{operator==}{shared_ptr}%
 \begin{itemdecl}
@@ -11317,7 +11319,7 @@
 \end{codeblock}
 \end{itemdescr}
 
-\rSec3[util.smartptr.shared.spec]{Specialized algorithms}
+\rSec4[util.smartptr.shared.spec]{Specialized algorithms}
 
 \indexlibrarymember{swap}{shared_ptr}%
 \begin{itemdecl}
@@ -11331,7 +11333,7 @@
 Equivalent to \tcode{a.swap(b)}.
 \end{itemdescr}
 
-\rSec3[util.smartptr.shared.cast]{Casts}
+\rSec4[util.smartptr.shared.cast]{Casts}
 
 \indexlibrarymember{static_pointer_cast}{shared_ptr}%
 \begin{itemdecl}
@@ -11458,7 +11460,7 @@
 \end{note}
 \end{itemdescr}
 
-\rSec3[util.smartptr.getdeleter]{\tcode{get_deleter}}
+\rSec4[util.smartptr.getdeleter]{\tcode{get_deleter}}
 
 \indexlibrarymember{get_deleter}{shared_ptr}%
 \begin{itemdecl}
@@ -11482,7 +11484,7 @@
 \end{note}
 \end{itemdescr}
 
-\rSec3[util.smartptr.shared.io]{I/O}
+\rSec4[util.smartptr.shared.io]{I/O}
 
 \indexlibrarymember{operator<<}{shared_ptr}%
 \begin{itemdecl}
@@ -11500,9 +11502,9 @@
 \tcode{os}.
 \end{itemdescr}
 
-\rSec2[util.smartptr.weak]{Class template \tcode{weak_ptr}}
+\rSec3[util.smartptr.weak]{Class template \tcode{weak_ptr}}
 
-\rSec3[util.smartptr.weak.general]{General}
+\rSec4[util.smartptr.weak.general]{General}
 
 \pnum
 \indexlibraryglobal{weak_ptr}%
@@ -11566,7 +11568,7 @@
 containers.  The template parameter \tcode{T} of \tcode{weak_ptr} may be an
 incomplete type.
 
-\rSec3[util.smartptr.weak.const]{Constructors}
+\rSec4[util.smartptr.weak.const]{Constructors}
 
 \indexlibraryctor{weak_ptr}%
 \begin{itemdecl}
@@ -11629,7 +11631,7 @@
 \tcode{r} is empty, stores a null pointer value, and \tcode{r.use_count() == 0}.
 \end{itemdescr}
 
-\rSec3[util.smartptr.weak.dest]{Destructor}
+\rSec4[util.smartptr.weak.dest]{Destructor}
 
 \indexlibrarydtor{weak_ptr}%
 \begin{itemdecl}
@@ -11643,7 +11645,7 @@
 effect on the object its stored pointer points to.
 \end{itemdescr}
 
-\rSec3[util.smartptr.weak.assign]{Assignment}
+\rSec4[util.smartptr.weak.assign]{Assignment}
 
 \indexlibrarymember{operator=}{weak_ptr}%
 \begin{itemdecl}
@@ -11683,7 +11685,7 @@
 \tcode{*this}.
 \end{itemdescr}
 
-\rSec3[util.smartptr.weak.mod]{Modifiers}
+\rSec4[util.smartptr.weak.mod]{Modifiers}
 \indexlibrarymember{swap}{weak_ptr}%
 \begin{itemdecl}
 void swap(weak_ptr& r) noexcept;
@@ -11706,7 +11708,7 @@
 Equivalent to \tcode{weak_ptr().swap(*this)}.
 \end{itemdescr}
 
-\rSec3[util.smartptr.weak.obs]{Observers}
+\rSec4[util.smartptr.weak.obs]{Observers}
 \indexlibrarymember{use_count}{weak_ptr}%
 \begin{itemdecl}
 long use_count() const noexcept;
@@ -11763,7 +11765,7 @@
 \end{itemdescr}
 
 
-\rSec3[util.smartptr.weak.spec]{Specialized algorithms}
+\rSec4[util.smartptr.weak.spec]{Specialized algorithms}
 
 \indexlibrarymember{swap}{weak_ptr}%
 \begin{itemdecl}
@@ -11777,7 +11779,7 @@
 Equivalent to \tcode{a.swap(b)}.
 \end{itemdescr}
 
-\rSec2[util.smartptr.ownerless]{Class template \tcode{owner_less}}
+\rSec3[util.smartptr.ownerless]{Class template \tcode{owner_less}}
 
 \pnum
 The class template \tcode{owner_less} allows ownership-based mixed comparisons of shared
@@ -11831,7 +11833,7 @@
 \end{itemize}
 \end{note}
 
-\rSec2[util.smartptr.enab]{Class template \tcode{enable_shared_from_this}}
+\rSec3[util.smartptr.enab]{Class template \tcode{enable_shared_from_this}}
 
 \pnum
 \indexlibraryglobal{enable_shared_from_this}%
@@ -11963,7 +11965,9 @@
 \end{itemdescr}%
 \indextext{smart pointers|)}
 
-\rSec2[out.ptr.t]{Class template \tcode{out_ptr_t}}
+\rSec2[smartptr.adapt]{Smart pointer adaptors}
+
+\rSec3[out.ptr.t]{Class template \tcode{out_ptr_t}}
 
 \pnum
 \tcode{out_ptr_t} is a class template used to adapt types
@@ -12163,7 +12167,7 @@
 \end{note}
 \end{itemdescr}
 
-\rSec2[out.ptr]{Function template \tcode{out_ptr}}
+\rSec3[out.ptr]{Function template \tcode{out_ptr}}
 
 \indexlibraryglobal{out_ptr}%
 \begin{itemdecl}
@@ -12182,7 +12186,7 @@
 \tcode{out_ptr_t<Smart, P, Args\&\&...>(s, std::forward<Args>(args)...)}
 \end{itemdescr}
 
-\rSec2[inout.ptr.t]{Class template \tcode{inout_ptr_t}}
+\rSec3[inout.ptr.t]{Class template \tcode{inout_ptr_t}}
 
 \pnum
 \tcode{inout_ptr_t} is a class template used to adapt types
@@ -12401,7 +12405,7 @@
 \end{note}
 \end{itemdescr}
 
-\rSec2[inout.ptr]{Function template \tcode{inout_ptr}}
+\rSec3[inout.ptr]{Function template \tcode{inout_ptr}}
 
 \indexlibraryglobal{inout_ptr}%
 \begin{itemdecl}