diff --git a/pyproject.toml b/pyproject.toml
index 20a174a2e..670937522 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -28,10 +28,10 @@ dependencies = [
     "lxml >= 4.9.3",
     "booleanOperations >= 0.9.0",
     "defcon[lxml,pens] >= 0.10.3",
-    "fontMath >= 0.9.3",
-    "fontTools[unicode,woff,lxml,ufo] >= 4.43.0",
+    "fontMath >= 0.9.4",
+    "fontTools[unicode,woff,lxml,ufo] >= 4.55.0",
     "tqdm >= 4.66.1",
-    "ufonormalizer >= 0.6.1",
+    "ufonormalizer >= 0.6.2",
     "ufoProcessor >= 1.13.1",
 ]
 
diff --git a/requirements.txt b/requirements.txt
index a13f6d7e4..9026e32ea 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -3,11 +3,11 @@
 # of our tools is stable
 # NOTE: hard-pinning (==) here gets relaxed to >= in pyproject.toml
 # NOTE: This list is currently duplicated in pyproject.toml
-lxml>=4.9.3
-booleanOperations>=0.9.0
-defcon[lxml,pens]>=0.10.3
-fontMath>=0.9.3
-fontTools[unicode,woff,lxml,ufo]>=4.43.0
-tqdm>=4.66.1
-ufonormalizer>=0.6.1
-ufoProcessor>=1.13.1
+lxml==4.9.3
+booleanOperations==0.9.0
+defcon[lxml,pens]==0.10.3
+fontMath==0.9.4
+fontTools[unicode,woff,lxml,ufo]==4.55.0
+tqdm==4.66.1
+ufonormalizer==0.6.2
+ufoProcessor==1.13.1
diff --git a/tests/otfautohint_data/input/dummy/decimals.ufo/glyphs.com.adobe.type.processedglyphs/braceleft.glif b/tests/otfautohint_data/input/dummy/decimals.ufo/glyphs.com.adobe.type.processedglyphs/braceleft.glif
index 0a634b517..ebc9464f9 100644
--- a/tests/otfautohint_data/input/dummy/decimals.ufo/glyphs.com.adobe.type.processedglyphs/braceleft.glif
+++ b/tests/otfautohint_data/input/dummy/decimals.ufo/glyphs.com.adobe.type.processedglyphs/braceleft.glif
@@ -11,20 +11,20 @@
       <point x="153.6" y="-84"/>
       <point x="142.4" y="-63.2"/>
       <point x="142.4" y="-11.2" type="curve"/>
-      <point x="142.4" y="37.6"/>
+      <point x="142.4" y="37.6" name="hintRef0001"/>
       <point x="147.2" y="79.2"/>
       <point x="147.2" y="133.6" type="curve"/>
-      <point x="147.2" y="184.8" name="hintRef0001"/>
+      <point x="147.2" y="184.8" name="hintRef0002"/>
       <point x="133.6" y="211.2"/>
       <point x="99.2" y="220.8" type="curve"/>
       <point x="99.2" y="224" type="line"/>
       <point x="133.6" y="233.6"/>
       <point x="147.2" y="259.2"/>
       <point x="147.2" y="311.2" type="curve"/>
-      <point x="147.2" y="365.6" name="hintRef0002"/>
+      <point x="147.2" y="365.6"/>
       <point x="142.4" y="407.2"/>
       <point x="142.4" y="456" type="curve"/>
-      <point x="142.4" y="508"/>
+      <point x="142.4" y="508" name="hintRef0003"/>
       <point x="153.6" y="528.8"/>
       <point x="196.8" y="528.8" type="curve"/>
       <point x="218.4" y="528.8" type="line"/>
@@ -33,17 +33,17 @@
       <point x="119.2" y="566.4"/>
       <point x="88.8" y="542.4"/>
       <point x="88.8" y="460" type="curve"/>
-      <point x="88.8" y="401.6"/>
+      <point x="88.8" y="401.6" name="hintRef0004"/>
       <point x="96" y="359.2"/>
       <point x="96" y="304.8" type="curve"/>
-      <point x="96" y="274.4" name="hintRef0003"/>
+      <point x="96" y="274.4"/>
       <point x="81.6" y="244"/>
       <point x="27.2" y="243.2" type="curve"/>
-      <point x="27.2" y="201.6" type="line"/>
-      <point x="81.6" y="200.8"/>
+      <point x="27.2" y="201.6" type="line" name="hintRef0005"/>
+      <point x="81.6" y="200.8" name="hintRef0006"/>
       <point x="96" y="170.4"/>
       <point x="96" y="139.2" type="curve"/>
-      <point x="96" y="85.6" name="hintRef0004"/>
+      <point x="96" y="85.6"/>
       <point x="88.8" y="43.2"/>
       <point x="88.8" y="-15.2" type="curve"/>
       <point x="88.8" y="-97.6"/>
@@ -75,7 +75,7 @@
               <string>hstem -121.6 37.6</string>
               <string>hstem 201.6 41.6</string>
               <string>hstem 528.8 37.6</string>
-              <string>vstem 27.2 72</string>
+              <string>vstem 96 51.2</string>
             </array>
           </dict>
           <dict>
@@ -86,7 +86,7 @@
               <string>hstem -121.6 37.6</string>
               <string>hstem 201.6 41.6</string>
               <string>hstem 528.8 37.6</string>
-              <string>vstem 88.8 53.6</string>
+              <string>vstem 96 51.2</string>
             </array>
           </dict>
           <dict>
@@ -97,7 +97,7 @@
               <string>hstem -121.6 37.6</string>
               <string>hstem 201.6 41.6</string>
               <string>hstem 528.8 37.6</string>
-              <string>vstem 27.2 72</string>
+              <string>vstem 88.8 53.6</string>
             </array>
           </dict>
           <dict>
@@ -108,7 +108,29 @@
               <string>hstem -121.6 37.6</string>
               <string>hstem 201.6 41.6</string>
               <string>hstem 528.8 37.6</string>
-              <string>vstem 88.8 53.6</string>
+              <string>vstem 96 51.2</string>
+            </array>
+          </dict>
+          <dict>
+            <key>pointTag</key>
+            <string>hintRef0005</string>
+            <key>stems</key>
+            <array>
+              <string>hstem -121.6 37.6</string>
+              <string>hstem 201.6 41.6</string>
+              <string>hstem 528.8 37.6</string>
+              <string>vstem 27.2 72</string>
+            </array>
+          </dict>
+          <dict>
+            <key>pointTag</key>
+            <string>hintRef0006</string>
+            <key>stems</key>
+            <array>
+              <string>hstem -121.6 37.6</string>
+              <string>hstem 201.6 41.6</string>
+              <string>hstem 528.8 37.6</string>
+              <string>vstem 96 51.2</string>
             </array>
           </dict>
         </array>
diff --git a/tests/otfautohint_data/input/dummy/decimals.ufo/glyphs.com.adobe.type.processedglyphs/braceright.glif b/tests/otfautohint_data/input/dummy/decimals.ufo/glyphs.com.adobe.type.processedglyphs/braceright.glif
index 10e4d0607..0d3ddd420 100644
--- a/tests/otfautohint_data/input/dummy/decimals.ufo/glyphs.com.adobe.type.processedglyphs/braceright.glif
+++ b/tests/otfautohint_data/input/dummy/decimals.ufo/glyphs.com.adobe.type.processedglyphs/braceright.glif
@@ -19,7 +19,7 @@
       <point x="161.6" y="244" name="hintRef0003"/>
       <point x="146.4" y="274.4"/>
       <point x="146.4" y="304.8" type="curve"/>
-      <point x="146.4" y="359.2"/>
+      <point x="146.4" y="359.2" name="hintRef0004"/>
       <point x="153.6" y="401.6"/>
       <point x="153.6" y="460" type="curve"/>
       <point x="153.6" y="542.4"/>
@@ -34,14 +34,14 @@
       <point x="100" y="407.2"/>
       <point x="96" y="365.6"/>
       <point x="96" y="311.2" type="curve"/>
-      <point x="96" y="259.2" name="hintRef0004"/>
+      <point x="96" y="259.2" name="hintRef0005"/>
       <point x="108.8" y="233.6"/>
       <point x="143.2" y="224" type="curve"/>
       <point x="143.2" y="220.8" type="line"/>
       <point x="108.8" y="211.2"/>
       <point x="96" y="184.8"/>
       <point x="96" y="133.6" type="curve"/>
-      <point x="96" y="79.2" name="hintRef0005"/>
+      <point x="96" y="79.2" name="hintRef0006"/>
       <point x="100" y="37.6"/>
       <point x="100" y="-11.2" type="curve"/>
       <point x="100" y="-63.2"/>
@@ -108,13 +108,24 @@
               <string>hstem -121.6 37.6</string>
               <string>hstem 201.6 41.6</string>
               <string>hstem 528.8 37.6</string>
-              <string>vstem 96 50.4</string>
+              <string>vstem 100 53.6</string>
             </array>
           </dict>
           <dict>
             <key>pointTag</key>
             <string>hintRef0005</string>
             <key>stems</key>
+            <array>
+              <string>hstem -121.6 37.6</string>
+              <string>hstem 201.6 41.6</string>
+              <string>hstem 528.8 37.6</string>
+              <string>vstem 96 50.4</string>
+            </array>
+          </dict>
+          <dict>
+            <key>pointTag</key>
+            <string>hintRef0006</string>
+            <key>stems</key>
             <array>
               <string>hstem -121.6 37.6</string>
               <string>hstem 201.6 41.6</string>
diff --git a/tests/otfautohint_data/input/dummy/font.ps b/tests/otfautohint_data/input/dummy/font.ps
index 6dc466951..2a1772b1f 100644
Binary files a/tests/otfautohint_data/input/dummy/font.ps and b/tests/otfautohint_data/input/dummy/font.ps differ