diff --git a/cardano-api/gen/Test/Gen/Cardano/Api/Typed.hs b/cardano-api/gen/Test/Gen/Cardano/Api/Typed.hs
index ad7e4a4e525..b54135d4a51 100644
--- a/cardano-api/gen/Test/Gen/Cardano/Api/Typed.hs
+++ b/cardano-api/gen/Test/Gen/Cardano/Api/Typed.hs
@@ -238,7 +238,7 @@ genScriptData =
         , ScriptDataBytes  <$> genByteString
         ]
         -- The Gen.recursive combinator calls these with the size halved
-        [ ScriptDataConstructor <$> genInteger
+        [ ScriptDataConstructor <$> genConstructorInteger
                                 <*> genScriptDataList
         , ScriptDataList <$> genScriptDataList
         , ScriptDataMap  <$> genScriptDataMap
@@ -246,6 +246,13 @@ genScriptData =
   where
     genInteger :: Gen Integer
     genInteger = Gen.integral
+                  (Range.linear
+                    (-fromIntegral (maxBound :: Word64) :: Integer)
+                    (2 * fromIntegral (maxBound :: Word64) :: Integer))
+
+
+    genConstructorInteger :: Gen Integer
+    genConstructorInteger = Gen.integral
                   (Range.linear
                     0 -- TODO: Alonzo should be -> (-fromIntegral (maxBound :: Word64) :: Integer)
                       -- Wrapping bug needs to be fixed in Plutus library
diff --git a/cardano-api/src/Cardano/Api/ScriptData.hs b/cardano-api/src/Cardano/Api/ScriptData.hs
index 5d0e90fa446..6100d2fed83 100644
--- a/cardano-api/src/Cardano/Api/ScriptData.hs
+++ b/cardano-api/src/Cardano/Api/ScriptData.hs
@@ -270,7 +270,7 @@ validateScriptData d =
 --
 newtype ScriptDataRangeError =
 
-    -- | The number is outside the maximum range of @-2^64-1 .. 2^64-1@.
+    -- | The constructor number is outside the maximum range of @-2^64-1 .. 2^64-1@.
     --
   ScriptDataConstructorOutOfRange Integer
   deriving (Eq, Show)
diff --git a/cardano-api/test/Test/Cardano/Api/Typed/CBOR.hs b/cardano-api/test/Test/Cardano/Api/Typed/CBOR.hs
index 92a0690de15..5ae41145950 100644
--- a/cardano-api/test/Test/Cardano/Api/Typed/CBOR.hs
+++ b/cardano-api/test/Test/Cardano/Api/Typed/CBOR.hs
@@ -147,6 +147,10 @@ prop_roundtrip_script_PlutusScriptV2_CBOR =
   roundtrip_CBOR (AsScript AsPlutusScriptV2)
                  (genScript (PlutusScriptLanguage PlutusScriptV2))
 
+prop_roundtrip_ScriptData_CBOR :: Property
+prop_roundtrip_ScriptData_CBOR =
+  roundtrip_CBOR AsHashableScriptData genHashableScriptData
+
 prop_roundtrip_UpdateProposal_CBOR :: Property
 prop_roundtrip_UpdateProposal_CBOR =
   roundtrip_CBOR AsUpdateProposal genUpdateProposal
@@ -216,6 +220,7 @@ tests = testGroup "Test.Cardano.Api.Typed.CBOR"
   , testPropertyNamed "roundtrip script PlutusScriptV1 CBOR"                 "roundtrip script PlutusScriptV1 CBOR"                 prop_roundtrip_script_PlutusScriptV1_CBOR
   , testPropertyNamed "roundtrip script PlutusScriptV2 CBOR"                 "roundtrip script PlutusScriptV2 CBOR"                 prop_roundtrip_script_PlutusScriptV2_CBOR
   , testPropertyNamed "roundtrip UpdateProposal CBOR"                        "roundtrip UpdateProposal CBOR"                        prop_roundtrip_UpdateProposal_CBOR
+  , testPropertyNamed "roundtrip ScriptData CBOR"                            "roundtrip ScriptData CBOR"                            prop_roundtrip_ScriptData_CBOR
   , testGroup "roundtrip txbody CBOR"     test_roundtrip_txbody_CBOR
   , testGroup "roundtrip tx CBOR"         test_roundtrip_tx_CBOR
   , testGroup "roundtrip Tx Cddl"         test_roundtrip_Tx_Cddl
diff --git a/cardano-api/test/Test/Cardano/Api/Typed/Script.hs b/cardano-api/test/Test/Cardano/Api/Typed/Script.hs
index 8c69cc8040b..dd2a5af02f0 100644
--- a/cardano-api/test/Test/Cardano/Api/Typed/Script.hs
+++ b/cardano-api/test/Test/Cardano/Api/Typed/Script.hs
@@ -116,6 +116,12 @@ prop_roundtrip_ScriptData =
     sData <- H.forAll genHashableScriptData
     sData === fromAlonzoData (toAlonzoData sData)
 
+prop_roundtrip_HashableScriptData_JSON :: Property
+prop_roundtrip_HashableScriptData_JSON =
+  H.property $ do
+    sData <- H.forAll genHashableScriptData
+    H.tripping sData scriptDataToJsonDetailedSchema scriptDataFromJsonDetailedSchema
+
 -- -----------------------------------------------------------------------------
 
 tests :: TestTree
@@ -128,4 +134,5 @@ tests = testGroup "Test.Cardano.Api.Typed.Script"
   , testPropertyNamed "golden SimpleScriptV2 MofN"    "golden SimpleScriptV2 MofN"    prop_golden_SimpleScriptV2_MofN
   , testPropertyNamed "roundtrip SimpleScript JSON"   "roundtrip SimpleScript JSON"   prop_roundtrip_SimpleScript_JSON
   , testPropertyNamed "roundtrip ScriptData"          "roundtrip ScriptData"          prop_roundtrip_ScriptData
+  , testPropertyNamed "roundtrip HashableScriptData"  "roundtrip HashableScriptData"  prop_roundtrip_HashableScriptData_JSON
   ]