diff --git a/password-types/ChangeLog.md b/password-types/ChangeLog.md
index be1dc19..3ab1b91 100644
--- a/password-types/ChangeLog.md
+++ b/password-types/ChangeLog.md
@@ -1,5 +1,11 @@
 # Changelog for `password-types`
 
+## 1.0.1.0
+
+-   Removed `memory` dependency by implementing `constEq` in this package.
+-   Exporting `constEquals` for reuse in other packages to minimize dependencies
+    on `memory` or `ram`.
+
 ## 1.0.0.0
 
 -   Split out this package from the `password` package to not saddle up
diff --git a/password-types/password-types.cabal b/password-types/password-types.cabal
index fb378a9..a66a27a 100644
--- a/password-types/password-types.cabal
+++ b/password-types/password-types.cabal
@@ -1,7 +1,7 @@
 cabal-version: 1.12
 
 name:           password-types
-version:        1.0.0.0
+version:        1.0.1.0
 category:       Security
 synopsis:       Types for handling passwords
 description:    A library providing types for working with plain-text and hashed passwords.
@@ -37,7 +37,6 @@ library
   build-depends:
       base        >= 4.9 && < 5
     , bytestring            < 1
-    , memory                < 1
     , text                  < 3
   ghc-options:
       -Wall
diff --git a/password-types/src/Data/Password/Types.hs b/password-types/src/Data/Password/Types.hs
index 871feb8..bead995 100644
--- a/password-types/src/Data/Password/Types.hs
+++ b/password-types/src/Data/Password/Types.hs
@@ -1,4 +1,6 @@
+{-# LANGUAGE BangPatterns #-}
 {-# LANGUAGE GeneralizedNewtypeDeriving #-}
+
 {-|
 Module      : Data.Password.Types
 Copyright   : (c) Dennis Gosnell, 2019; Felix Paulusma, 2020
@@ -48,14 +50,27 @@ module Data.Password.Types (
   , unsafeShowPassword
     -- * Hashing salts
   , Salt (..)
+    -- * Utility functions
+
+    -- | These functions might not be specific to passwords, but
+    -- can be useful when handling them.
+  , constEquals
   ) where
 
-import Data.ByteArray (constEq)
-import Data.ByteString (ByteString)
+import Data.ByteString.Internal (ByteString (..))
 import Data.Function (on)
 import Data.String (IsString(..))
 import Data.Text (Text)
 import Data.Text.Encoding (encodeUtf8)
+import Foreign (
+  Word8,
+  Ptr,
+  Bits ((.|.), xor),
+  peekByteOff,
+  plusPtr,
+  withForeignPtr,
+ )
+import System.IO.Unsafe (unsafeDupablePerformIO)
 
 -- $setup
 -- >>> :set -XOverloadedStrings
@@ -112,9 +127,46 @@ newtype PasswordHash a = PasswordHash
   } deriving (Ord, Read, Show)
 
 instance Eq (PasswordHash a)  where
-  (==) = constEq `on` encodeUtf8 . unPasswordHash
+  (==) = constEquals `on` encodeUtf8 . unPasswordHash
 
 -- | A salt used by a hashing algorithm.
 newtype Salt a = Salt
   { getSalt :: ByteString
   } deriving (Eq, Show)
+
+-- The below is somewhat copied over from the 'memory'(/ram) package(s)
+
+-- | Checking two 'ByteString's for equality without short-circuiting on the
+-- first byte that is different. This is used in the definition of '==' for
+-- 'PasswordHash'es, to mitigate timing attacks.
+--
+-- It _will_ give an early 'False' if the length of the 'ByteString's aren't
+-- the same, but this does not help in timing attacks since that means the
+-- comparison is being done between two hashes of different hash functions.
+-- Which only happens if the implementation is comparing the wrong hashes.
+constEquals :: ByteString -> ByteString -> Bool
+constEquals (PS fptr1 off1 l1) (PS fptr2 off2 l2)
+  -- This is used to compare hashes of passwords, which should be equal length
+  -- if they compare the same type of algorithm with the same settings, so it's
+  -- fine to do an early return on bad hash comparisons.
+  | l1 /= l2 = False
+  | otherwise =
+      unsafeDupablePerformIO $
+        withForeignPtr fptr1 $ \ptr1 ->
+          withForeignPtr fptr2 $ \ptr2 ->
+            -- Using the 'offset' for backwards compatibility (bytestring < 0.11)
+            memConstEqual (ptr1 `plusPtr` off1) (ptr2 `plusPtr` off2) l1
+
+-- | This function MUST take two memory buffers of equal length,
+-- or it will have undefined behaviour.
+memConstEqual :: Ptr Word8 -> Ptr Word8 -> Int -> IO Bool
+memConstEqual p1 p2 n =
+    loop 0 0
+  where
+    loop :: Int -> Word8 -> IO Bool
+    loop i !acc
+      | i == n = pure $! acc == 0
+      | otherwise = do
+            w1 <- peekByteOff p1 i
+            w2 <- peekByteOff p2 i
+            loop (i + 1) (acc .|. xor w1 w2) 
diff --git a/password-types/test/tasty/Spec.hs b/password-types/test/tasty/Spec.hs
index 2b7b7e0..b0f1f39 100644
--- a/password-types/test/tasty/Spec.hs
+++ b/password-types/test/tasty/Spec.hs
@@ -2,11 +2,17 @@ module Main where
 
 import Data.String (fromString)
 import Data.Text (pack)
-import Test.QuickCheck.Instances()
-import Test.Tasty ( defaultMain, testGroup )
-import Test.Tasty.QuickCheck ( (===), testProperty )
+import Data.Text.Encoding (encodeUtf8)
+import Test.QuickCheck.Instances ()
+import Test.Tasty (defaultMain, testGroup)
+import Test.Tasty.QuickCheck ((===), testProperty)
 
-import Data.Password.Types ( mkPassword, unsafeShowPassword )
+import Data.Password.Types (
+    PasswordHash (..),
+    constEquals,
+    mkPassword,
+    unsafeShowPassword,
+ )
 
 main :: IO ()
 main = defaultMain $
@@ -17,4 +23,13 @@ main = defaultMain $
         show (mkPassword pass) === "**PASSWORD**"
     , testProperty "fromString works" $ \pass ->
         unsafeShowPassword (fromString pass) === pack pass
+    , testProperty "constEquals works identical to '=='" $ \t1 t2 ->
+        let b1 = encodeUtf8 t1
+            b2 = encodeUtf8 t2
+         in (b1 `constEquals` b2) == (b1 == b2) 
+    , testProperty "constEquals is True on the same input" $ \t1 ->
+        let b1 = encodeUtf8 t1
+         in b1 `constEquals` b1
+    , testProperty "comparing 'PasswordHash'es works" $ \t1 ->
+        PasswordHash t1 === PasswordHash t1
     ]