diff --git a/doc/html/building.html b/doc/html/building.html
index 8b4cb5d..5cf7429 100644
--- a/doc/html/building.html
+++ b/doc/html/building.html
@@ -62,9 +62,9 @@
 <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
 
 <UL CLASS="ChildLinks">
-<LI><A NAME="tex2html78"
+<LI><A NAME="tex2html77"
   href="building-unix.html">2.1 Building the Module on a Unix System </A>
-<LI><A NAME="tex2html79"
+<LI><A NAME="tex2html78"
   href="building-windows.html">2.2 Building the Module on a Windows System </A>
 </UL>
 <!--End of Table of Child-Links-->
diff --git a/doc/html/callbacks.html b/doc/html/callbacks.html
index 9a9aeaf..7e5494f 100644
--- a/doc/html/callbacks.html
+++ b/doc/html/callbacks.html
@@ -54,9 +54,9 @@
 is needed. Another problem is thread support. A lot of the OpenSSL I/O
 functions can block if the socket is in blocking mode, and then you want other
 Python threads to be able to do other things. The real trouble is if you've
-released the thread lock to do a potentially blocking operation, and the
-operation calls a callback. Then we must take the thread lock back<A NAME="tex2html5"
-  HREF="#foot972"><SUP>4</SUP></A>.
+released the global CPython interpreter lock to do a potentially blocking
+operation, and the operation calls a callback. Then we must take the GIL back,
+since calling Python APIs without holding it is not allowed.
 
 <P>
 There are two solutions to the first problem, both of which are necessary. The
@@ -71,27 +71,20 @@
 easily find the Python callback.
 
 <P>
-The other problem is also partially solved by app_data. Since we're associating
-our wrapper objects with the ''real'' objects, we can easily access data from
-the <tt class="class">Connection</tt> object. The solution then is to simply include a
-<tt class="ctype">PyThreadState</tt> variable in the <tt class="class">Connection</tt> declaration, and write
-macros similar to <tt class="cfunction">Py_BEGIN_ALLOW_THREADS</tt> and
-<tt class="cfunction">Py_END_ALLOW_THREADS</tt> that allows specifying of the
-<tt class="ctype">PyThreadState</tt> variable to use. Now we can simply ''begin allow
-threads'' before a potentially blocking operation, and ''end allow threads''
-before calling a callback.
+The other problem is solved using thread local variables.  Whenever the GIL is
+released before calling into an OpenSSL API, the PyThreadState pointer returned
+by <tt class="cfunction">PyEval_SaveState</tt> is stored in a global thread local variable
+(using Python's own TLS API, <tt class="cfunction">PyThread_set_key_value</tt>).  When it is
+necessary to re-acquire the GIL, either after the OpenSSL API returns or in a C
+callback invoked by that OpenSSL API, the value of the thread local variable is
+retrieved (<tt class="cfunction">PyThread_get_key_value</tt>) and used to re-acquire the GIL.
+This allows Python threads to execute while OpenSSL APIs are running and allows
+use of any particular pyOpenSSL object from any Python thread, since there is
+no per-thread state associated with any of these objects and since OpenSSL is
+threadsafe (as long as properly initialized, as pyOpenSSL initializes it).
 
 <P>
-<BR><HR><H4>Footnotes</H4>
-<DL>
-<DT><A NAME="foot972">... back</A><A
- href="callbacks.html#tex2html5"><SUP>4</SUP></A></DT>
-<DD>I'm
-not sure why this is necessary, but otherwise I get a segmentation violation on
-<tt class="cfunction">PyEval_CallObject</tt>
 
-</DD>
-</DL>
 <DIV CLASS="navigation">
 <p><hr>
 <table align="center" width="100%" cellpadding="0" cellspacing="2">
diff --git a/doc/html/contents.html b/doc/html/contents.html
index 155b183..2953069 100644
--- a/doc/html/contents.html
+++ b/doc/html/contents.html
@@ -46,36 +46,36 @@
 <!--Table of Contents-->
 
 <UL CLASS="TofC">
-<LI><A NAME="tex2html44"
+<LI><A NAME="tex2html43"
   href="intro.html">1 Introduction </A>
-<LI><A NAME="tex2html45"
+<LI><A NAME="tex2html44"
   href="building.html">2 Building and Installing </A>
 <UL>
-<LI><A NAME="tex2html46"
+<LI><A NAME="tex2html45"
   href="building-unix.html">2.1 Building the Module on a Unix System </A>
-<LI><A NAME="tex2html47"
+<LI><A NAME="tex2html46"
   href="building-windows.html">2.2 Building the Module on a Windows System </A>
 </UL>
 <BR>
-<LI><A NAME="tex2html48"
+<LI><A NAME="tex2html47"
   href="openssl.html">3 OpenSSL -- Python interface to OpenSSL </A>
 <UL>
-<LI><A NAME="tex2html49"
+<LI><A NAME="tex2html48"
   href="openssl-crypto.html">3.1 crypto -- Generic cryptographic module </A>
-<LI><A NAME="tex2html50"
+<LI><A NAME="tex2html49"
   href="openssl-rand.html">3.2 rand -- An interface to the OpenSSL pseudo random number generator </A>
-<LI><A NAME="tex2html51"
+<LI><A NAME="tex2html50"
   href="openssl-ssl.html">3.3 SSL -- An interface to the SSL-specific parts of OpenSSL </A>
 </UL>
 <BR>
-<LI><A NAME="tex2html52"
+<LI><A NAME="tex2html51"
   href="internals.html">4 Internals </A>
 <UL>
-<LI><A NAME="tex2html53"
+<LI><A NAME="tex2html52"
   href="exceptions.html">4.1 Exceptions </A>
-<LI><A NAME="tex2html54"
+<LI><A NAME="tex2html53"
   href="callbacks.html">4.2 Callbacks </A>
-<LI><A NAME="tex2html55"
+<LI><A NAME="tex2html54"
   href="socket-methods.html">4.3 Acessing Socket Methods </A>
 </UL></UL>
 <!--End of Table of Contents-->
diff --git a/doc/html/index.html b/doc/html/index.html
index 9f1246c..15d0583 100644
--- a/doc/html/index.html
+++ b/doc/html/index.html
@@ -67,68 +67,68 @@
 
 
 <UL CLASS="ChildLinks">
-<LI><A NAME="tex2html9"
+<LI><A NAME="tex2html8"
   href="contents.html">Contents</A>
-<LI><A NAME="tex2html10"
+<LI><A NAME="tex2html9"
   href="intro.html">1 Introduction </A>
-<LI><A NAME="tex2html11"
+<LI><A NAME="tex2html10"
   href="building.html">2 Building and Installing </A>
 <UL>
-<LI><A NAME="tex2html12"
+<LI><A NAME="tex2html11"
   href="building-unix.html">2.1 Building the Module on a Unix System </A>
-<LI><A NAME="tex2html13"
+<LI><A NAME="tex2html12"
   href="building-windows.html">2.2 Building the Module on a Windows System </A>
 </UL>
 <BR>
-<LI><A NAME="tex2html14"
+<LI><A NAME="tex2html13"
   href="openssl.html">3 <tt class="module">OpenSSL</tt> -- Python interface to OpenSSL </A>
 <UL>
-<LI><A NAME="tex2html15"
+<LI><A NAME="tex2html14"
   href="openssl-crypto.html">3.1 <tt class="module">crypto</tt> -- Generic cryptographic module </A>
 <UL>
-<LI><A NAME="tex2html16"
+<LI><A NAME="tex2html15"
   href="openssl-x509.html">3.1.1 X509 objects </A>
-<LI><A NAME="tex2html17"
+<LI><A NAME="tex2html16"
   href="openssl-x509name.html">3.1.2 X509Name objects </A>
-<LI><A NAME="tex2html18"
+<LI><A NAME="tex2html17"
   href="openssl-x509req.html">3.1.3 X509Req objects </A>
-<LI><A NAME="tex2html19"
+<LI><A NAME="tex2html18"
   href="openssl-x509store.html">3.1.4 X509Store objects </A>
-<LI><A NAME="tex2html20"
+<LI><A NAME="tex2html19"
   href="openssl-pkey.html">3.1.5 PKey objects </A>
-<LI><A NAME="tex2html21"
+<LI><A NAME="tex2html20"
   href="openssl-pkcs7.html">3.1.6 PKCS7 objects </A>
-<LI><A NAME="tex2html22"
+<LI><A NAME="tex2html21"
   href="openssl-pkcs12.html">3.1.7 PKCS12 objects </A>
-<LI><A NAME="tex2html23"
+<LI><A NAME="tex2html22"
   href="openssl-509ext.html">3.1.8 X509Extension objects </A>
-<LI><A NAME="tex2html24"
+<LI><A NAME="tex2html23"
   href="openssl-netscape-spki.html">3.1.9 NetscapeSPKI objects </A>
 </UL>
-<LI><A NAME="tex2html25"
+<LI><A NAME="tex2html24"
   href="openssl-rand.html">3.2 <tt class="module">rand</tt> -- An interface to the OpenSSL pseudo random number generator </A>
-<LI><A NAME="tex2html26"
+<LI><A NAME="tex2html25"
   href="openssl-ssl.html">3.3 <tt class="module">SSL</tt> -- An interface to the SSL-specific parts of OpenSSL </A>
 <UL>
-<LI><A NAME="tex2html27"
+<LI><A NAME="tex2html26"
   href="openssl-context.html">3.3.1 Context objects </A>
-<LI><A NAME="tex2html28"
+<LI><A NAME="tex2html27"
   href="openssl-connection.html">3.3.2 Connection objects </A>
 </UL>
 </UL>
 <BR>
-<LI><A NAME="tex2html29"
+<LI><A NAME="tex2html28"
   href="internals.html">4 Internals </A>
 <UL>
-<LI><A NAME="tex2html30"
+<LI><A NAME="tex2html29"
   href="exceptions.html">4.1 Exceptions </A>
-<LI><A NAME="tex2html31"
+<LI><A NAME="tex2html30"
   href="callbacks.html">4.2 Callbacks </A>
-<LI><A NAME="tex2html32"
+<LI><A NAME="tex2html31"
   href="socket-methods.html">4.3 Acessing Socket Methods </A>
 </UL>
 <BR>
-<LI><A NAME="tex2html33"
+<LI><A NAME="tex2html32"
   href="about.html">About this document ...</A>
 </UL>
 <!--End of Table of Child-Links-->
diff --git a/doc/html/internals.html b/doc/html/internals.html
index 79b9c1e..5b1526a 100644
--- a/doc/html/internals.html
+++ b/doc/html/internals.html
@@ -59,11 +59,11 @@
 <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
 
 <UL CLASS="ChildLinks">
-<LI><A NAME="tex2html295"
+<LI><A NAME="tex2html294"
   href="exceptions.html">4.1 Exceptions </A>
-<LI><A NAME="tex2html296"
+<LI><A NAME="tex2html295"
   href="callbacks.html">4.2 Callbacks </A>
-<LI><A NAME="tex2html297"
+<LI><A NAME="tex2html296"
   href="socket-methods.html">4.3 Acessing Socket Methods </A>
 </UL>
 <!--End of Table of Child-Links-->
diff --git a/doc/html/intro.html b/doc/html/intro.html
index 9d2127b..c25a685 100644
--- a/doc/html/intro.html
+++ b/doc/html/intro.html
@@ -55,7 +55,7 @@
 were also limited, though in different ways.  Unfortunately, Python's standard
 library SSL support has remained weak, although other packages (such as
 M2Crypto<A NAME="tex2html1"
-  HREF="#foot933"><SUP>1</SUP></A>)
+  HREF="#foot929"><SUP>1</SUP></A>)
 have made great advances and now equal or exceed pyOpenSSL's functionality.
 
 <P>
@@ -67,7 +67,7 @@
 <P>
 <BR><HR><H4>Footnotes</H4>
 <DL>
-<DT><A NAME="foot933">...
+<DT><A NAME="foot929">...
 M2Crypto</A><A
  href="intro.html#tex2html1"><SUP>1</SUP></A></DT>
 <DD>See <a class="url" href="http://chandlerproject.org/Projects/MeTooCrypto">http://chandlerproject.org/Projects/MeTooCrypto</a>
diff --git a/doc/html/openssl-crypto.html b/doc/html/openssl-crypto.html
index 6ab45a9..f55033c 100644
--- a/doc/html/openssl-crypto.html
+++ b/doc/html/openssl-crypto.html
@@ -235,23 +235,23 @@
 <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
 
 <UL CLASS="ChildLinks">
-<LI><A NAME="tex2html136"
+<LI><A NAME="tex2html135"
   href="openssl-x509.html">3.1.1 X509 objects </A>
-<LI><A NAME="tex2html137"
+<LI><A NAME="tex2html136"
   href="openssl-x509name.html">3.1.2 X509Name objects </A>
-<LI><A NAME="tex2html138"
+<LI><A NAME="tex2html137"
   href="openssl-x509req.html">3.1.3 X509Req objects </A>
-<LI><A NAME="tex2html139"
+<LI><A NAME="tex2html138"
   href="openssl-x509store.html">3.1.4 X509Store objects </A>
-<LI><A NAME="tex2html140"
+<LI><A NAME="tex2html139"
   href="openssl-pkey.html">3.1.5 PKey objects </A>
-<LI><A NAME="tex2html141"
+<LI><A NAME="tex2html140"
   href="openssl-pkcs7.html">3.1.6 PKCS7 objects </A>
-<LI><A NAME="tex2html142"
+<LI><A NAME="tex2html141"
   href="openssl-pkcs12.html">3.1.7 PKCS12 objects </A>
-<LI><A NAME="tex2html143"
+<LI><A NAME="tex2html142"
   href="openssl-509ext.html">3.1.8 X509Extension objects </A>
-<LI><A NAME="tex2html144"
+<LI><A NAME="tex2html143"
   href="openssl-netscape-spki.html">3.1.9 NetscapeSPKI objects </A>
 </UL>
 <!--End of Table of Child-Links-->
diff --git a/doc/html/openssl-rand.html b/doc/html/openssl-rand.html
index 2b03886..a478390 100644
--- a/doc/html/openssl-rand.html
+++ b/doc/html/openssl-rand.html
@@ -60,7 +60,7 @@
 <dd>
 Mix bytes from <var>string</var> into the PRNG state. The <var>entropy</var> argument is
 (the lower bound of) an estimate of how much randomness is contained in
-<var>string</var>, measured in bytes. For more information, see e.g. <a class="rfc" name="rfcref-1852"
+<var>string</var>, measured in bytes. For more information, see e.g. <a class="rfc" name="rfcref-1845"
 href="http://www.ietf.org/rfc/rfc1750.txt">RFC 1750</a>.
 </dl>
 
@@ -68,7 +68,7 @@
 <dl><dt><b><a name='l2h-90'><tt class='function'>egd</tt></a></b>(<var>path</var><big>[</big><var>, bytes</var><big>]</big>)
 <dd>
 Query the Entropy Gathering Daemon<A NAME="tex2html2"
-  HREF="#foot954"><SUP>2</SUP></A> on socket <var>path</var> for <var>bytes</var>
+  HREF="#foot950"><SUP>2</SUP></A> on socket <var>path</var> for <var>bytes</var>
 bytes of random data and and uses <tt class="function">add</tt> to seed the PRNG. The default
 value of <var>bytes</var> is 255.
 </dl>
@@ -110,7 +110,7 @@
 <P>
 <BR><HR><H4>Footnotes</H4>
 <DL>
-<DT><A NAME="foot954">... Daemon</A><A
+<DT><A NAME="foot950">... Daemon</A><A
  href="openssl-rand.html#tex2html2"><SUP>2</SUP></A></DT>
 <DD>See
 <a class="url" href="http://www.lothar.com/tech/crypto/">http://www.lothar.com/tech/crypto/</a>
diff --git a/doc/html/openssl-ssl.html b/doc/html/openssl-ssl.html
index 2e2a545..39fbb9e 100644
--- a/doc/html/openssl-ssl.html
+++ b/doc/html/openssl-ssl.html
@@ -121,7 +121,7 @@
 <dd>
 Factory fucnction that creates a new Connection object given an SSL context and
 a socket <A NAME="tex2html4"
-  HREF="#foot957"><SUP>3</SUP></A> object.
+  HREF="#foot953"><SUP>3</SUP></A> object.
 </dl>
 
 <P>
@@ -188,7 +188,7 @@
 <P>
 <BR><HR><H4>Footnotes</H4>
 <DL>
-<DT><A NAME="foot957">... socket</A><A
+<DT><A NAME="foot953">... socket</A><A
  href="openssl-ssl.html#tex2html4"><SUP>3</SUP></A></DT>
 <DD>Actually, all that is required is an object that
 <i>behaves</i> like a socket, you could even use files, even though it'd be
@@ -202,9 +202,9 @@
 <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
 
 <UL CLASS="ChildLinks">
-<LI><A NAME="tex2html262"
+<LI><A NAME="tex2html261"
   href="openssl-context.html">3.3.1 Context objects </A>
-<LI><A NAME="tex2html263"
+<LI><A NAME="tex2html262"
   href="openssl-connection.html">3.3.2 Connection objects </A>
 </UL>
 <!--End of Table of Child-Links-->
diff --git a/doc/html/openssl.html b/doc/html/openssl.html
index 112bdb7..67a6fe7 100644
--- a/doc/html/openssl.html
+++ b/doc/html/openssl.html
@@ -80,37 +80,37 @@
 <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
 
 <UL CLASS="ChildLinks">
-<LI><A NAME="tex2html111"
+<LI><A NAME="tex2html110"
   href="openssl-crypto.html">3.1 <tt class="module">crypto</tt> -- Generic cryptographic module </A>
 <UL>
-<LI><A NAME="tex2html112"
+<LI><A NAME="tex2html111"
   href="openssl-x509.html">3.1.1 X509 objects </A>
-<LI><A NAME="tex2html113"
+<LI><A NAME="tex2html112"
   href="openssl-x509name.html">3.1.2 X509Name objects </A>
-<LI><A NAME="tex2html114"
+<LI><A NAME="tex2html113"
   href="openssl-x509req.html">3.1.3 X509Req objects </A>
-<LI><A NAME="tex2html115"
+<LI><A NAME="tex2html114"
   href="openssl-x509store.html">3.1.4 X509Store objects </A>
-<LI><A NAME="tex2html116"
+<LI><A NAME="tex2html115"
   href="openssl-pkey.html">3.1.5 PKey objects </A>
-<LI><A NAME="tex2html117"
+<LI><A NAME="tex2html116"
   href="openssl-pkcs7.html">3.1.6 PKCS7 objects </A>
-<LI><A NAME="tex2html118"
+<LI><A NAME="tex2html117"
   href="openssl-pkcs12.html">3.1.7 PKCS12 objects </A>
-<LI><A NAME="tex2html119"
+<LI><A NAME="tex2html118"
   href="openssl-509ext.html">3.1.8 X509Extension objects </A>
-<LI><A NAME="tex2html120"
+<LI><A NAME="tex2html119"
   href="openssl-netscape-spki.html">3.1.9 NetscapeSPKI objects </A>
 </UL>
 <BR>
-<LI><A NAME="tex2html121"
+<LI><A NAME="tex2html120"
   href="openssl-rand.html">3.2 <tt class="module">rand</tt> -- An interface to the OpenSSL pseudo random number generator </A>
-<LI><A NAME="tex2html122"
+<LI><A NAME="tex2html121"
   href="openssl-ssl.html">3.3 <tt class="module">SSL</tt> -- An interface to the SSL-specific parts of OpenSSL </A>
 <UL>
-<LI><A NAME="tex2html123"
+<LI><A NAME="tex2html122"
   href="openssl-context.html">3.3.1 Context objects </A>
-<LI><A NAME="tex2html124"
+<LI><A NAME="tex2html123"
   href="openssl-connection.html">3.3.2 Connection objects </A>
 </UL></UL>
 <!--End of Table of Child-Links-->
diff --git a/doc/html/pyOpenSSL.how b/doc/html/pyOpenSSL.how
index 2464192..303be0d 100644
--- a/doc/html/pyOpenSSL.how
+++ b/doc/html/pyOpenSSL.how
@@ -1 +1 @@
-+++ perl /home/exarkun/Projects/pyOpenSSL/trunk/doc/tools/node2label.pl *.html
++++ perl /home/exarkun/Projects/pyOpenSSL/branches/tls-thread-safety/doc/tools/node2label.pl *.html
diff --git a/doc/html/pyOpenSSL.html b/doc/html/pyOpenSSL.html
index 9f1246c..15d0583 100644
--- a/doc/html/pyOpenSSL.html
+++ b/doc/html/pyOpenSSL.html
@@ -67,68 +67,68 @@
 
 
 <UL CLASS="ChildLinks">
-<LI><A NAME="tex2html9"
+<LI><A NAME="tex2html8"
   href="contents.html">Contents</A>
-<LI><A NAME="tex2html10"
+<LI><A NAME="tex2html9"
   href="intro.html">1 Introduction </A>
-<LI><A NAME="tex2html11"
+<LI><A NAME="tex2html10"
   href="building.html">2 Building and Installing </A>
 <UL>
-<LI><A NAME="tex2html12"
+<LI><A NAME="tex2html11"
   href="building-unix.html">2.1 Building the Module on a Unix System </A>
-<LI><A NAME="tex2html13"
+<LI><A NAME="tex2html12"
   href="building-windows.html">2.2 Building the Module on a Windows System </A>
 </UL>
 <BR>
-<LI><A NAME="tex2html14"
+<LI><A NAME="tex2html13"
   href="openssl.html">3 <tt class="module">OpenSSL</tt> -- Python interface to OpenSSL </A>
 <UL>
-<LI><A NAME="tex2html15"
+<LI><A NAME="tex2html14"
   href="openssl-crypto.html">3.1 <tt class="module">crypto</tt> -- Generic cryptographic module </A>
 <UL>
-<LI><A NAME="tex2html16"
+<LI><A NAME="tex2html15"
   href="openssl-x509.html">3.1.1 X509 objects </A>
-<LI><A NAME="tex2html17"
+<LI><A NAME="tex2html16"
   href="openssl-x509name.html">3.1.2 X509Name objects </A>
-<LI><A NAME="tex2html18"
+<LI><A NAME="tex2html17"
   href="openssl-x509req.html">3.1.3 X509Req objects </A>
-<LI><A NAME="tex2html19"
+<LI><A NAME="tex2html18"
   href="openssl-x509store.html">3.1.4 X509Store objects </A>
-<LI><A NAME="tex2html20"
+<LI><A NAME="tex2html19"
   href="openssl-pkey.html">3.1.5 PKey objects </A>
-<LI><A NAME="tex2html21"
+<LI><A NAME="tex2html20"
   href="openssl-pkcs7.html">3.1.6 PKCS7 objects </A>
-<LI><A NAME="tex2html22"
+<LI><A NAME="tex2html21"
   href="openssl-pkcs12.html">3.1.7 PKCS12 objects </A>
-<LI><A NAME="tex2html23"
+<LI><A NAME="tex2html22"
   href="openssl-509ext.html">3.1.8 X509Extension objects </A>
-<LI><A NAME="tex2html24"
+<LI><A NAME="tex2html23"
   href="openssl-netscape-spki.html">3.1.9 NetscapeSPKI objects </A>
 </UL>
-<LI><A NAME="tex2html25"
+<LI><A NAME="tex2html24"
   href="openssl-rand.html">3.2 <tt class="module">rand</tt> -- An interface to the OpenSSL pseudo random number generator </A>
-<LI><A NAME="tex2html26"
+<LI><A NAME="tex2html25"
   href="openssl-ssl.html">3.3 <tt class="module">SSL</tt> -- An interface to the SSL-specific parts of OpenSSL </A>
 <UL>
-<LI><A NAME="tex2html27"
+<LI><A NAME="tex2html26"
   href="openssl-context.html">3.3.1 Context objects </A>
-<LI><A NAME="tex2html28"
+<LI><A NAME="tex2html27"
   href="openssl-connection.html">3.3.2 Connection objects </A>
 </UL>
 </UL>
 <BR>
-<LI><A NAME="tex2html29"
+<LI><A NAME="tex2html28"
   href="internals.html">4 Internals </A>
 <UL>
-<LI><A NAME="tex2html30"
+<LI><A NAME="tex2html29"
   href="exceptions.html">4.1 Exceptions </A>
-<LI><A NAME="tex2html31"
+<LI><A NAME="tex2html30"
   href="callbacks.html">4.2 Callbacks </A>
-<LI><A NAME="tex2html32"
+<LI><A NAME="tex2html31"
   href="socket-methods.html">4.3 Acessing Socket Methods </A>
 </UL>
 <BR>
-<LI><A NAME="tex2html33"
+<LI><A NAME="tex2html32"
   href="about.html">About this document ...</A>
 </UL>
 <!--End of Table of Child-Links-->
diff --git a/doc/pyOpenSSL.ps b/doc/pyOpenSSL.ps
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 %%Trailer
 
diff --git a/doc/pyOpenSSL.txt b/doc/pyOpenSSL.txt
index 28e20d1..b153f59 100644
--- a/doc/pyOpenSSL.txt
+++ b/doc/pyOpenSSL.txt
@@ -912,9 +912,10 @@
    way around that is needed. Another problem is thread support. A lot of
    the OpenSSL I/O functions can block if the socket is in blocking mode,
    and then you want other Python threads to be able to do other things.
-   The real trouble is if you've released the thread lock to do a
-   potentially blocking operation, and the operation calls a callback.
-   Then we must take the thread lock back^4.
+   The real trouble is if you've released the global CPython interpreter
+   lock to do a potentially blocking operation, and the operation calls a
+   callback. Then we must take the GIL back, since calling Python APIs
+   without holding it is not allowed.
 
    There are two solutions to the first problem, both of which are
    necessary. The first solution to use is if the C callback allows
@@ -928,15 +929,18 @@
    Connection object as app_data for the SSL object, and we can easily
    find the Python callback.
 
-   The other problem is also partially solved by app_data. Since we're
-   associating our wrapper objects with the ''real'' objects, we can
-   easily access data from the Connection object. The solution then is to
-   simply include a PyThreadState variable in the Connection declaration,
-   and write macros similar to Py_BEGIN_ALLOW_THREADS and
-   Py_END_ALLOW_THREADS that allows specifying of the PyThreadState
-   variable to use. Now we can simply ''begin allow threads'' before a
-   potentially blocking operation, and ''end allow threads'' before
-   calling a callback.
+   The other problem is solved using thread local variables. Whenever the
+   GIL is released before calling into an OpenSSL API, the PyThreadState
+   pointer returned by PyEval_SaveState is stored in a global thread local
+   variable (using Python's own TLS API, PyThread_set_key_value). When it
+   is necessary to re-acquire the GIL, either after the OpenSSL API
+   returns or in a C callback invoked by that OpenSSL API, the value of
+   the thread local variable is retrieved (PyThread_get_key_value) and
+   used to re-acquire the GIL. This allows Python threads to execute while
+   OpenSSL APIs are running and allows use of any particular pyOpenSSL
+   object from any Python thread, since there is no per-thread state
+   associated with any of these objects and since OpenSSL is threadsafe
+   (as long as properly initialized, as pyOpenSSL initializes it).
 
 
 4.3 Acessing Socket Methods
@@ -1000,10 +1004,6 @@
           Actually, all that is required is an object that behaves like a
           socket, you could even use files, even though it'd be tricky to
           get the handshakes right!
-
-   ... back^4
-          I'm not sure why this is necessary, but otherwise I get a
-          segmentation violation on PyEval_CallObject
      __________________________________________________________________
 
                             Python OpenSSL Manual