diff --git a/inferno-ml-server-types/CHANGELOG.md b/inferno-ml-server-types/CHANGELOG.md
index 6450fca..aca9cd9 100644
--- a/inferno-ml-server-types/CHANGELOG.md
+++ b/inferno-ml-server-types/CHANGELOG.md
@@ -1,6 +1,9 @@
 # Revision History for inferno-ml-server-types
 *Note*: we use https://pvp.haskell.org/ (MAJOR.MAJOR.MINOR.PATCH)
 
+## 0.5.0
+* Add `resolution` to `InferenceParam`
+
 ## 0.4.0
 * Change representation of script inputs/outputs
 
diff --git a/inferno-ml-server-types/inferno-ml-server-types.cabal b/inferno-ml-server-types/inferno-ml-server-types.cabal
index 7688808..6a7ac48 100644
--- a/inferno-ml-server-types/inferno-ml-server-types.cabal
+++ b/inferno-ml-server-types/inferno-ml-server-types.cabal
@@ -1,6 +1,6 @@
 cabal-version: 2.4
 name:          inferno-ml-server-types
-version:       0.4.0
+version:       0.5.0
 synopsis:      Types for Inferno ML server
 description:   Types for Inferno ML server
 homepage:      https://github.com/plow-technologies/inferno.git#readme
diff --git a/inferno-ml-server-types/src/Inferno/ML/Server/Client.hs b/inferno-ml-server-types/src/Inferno/ML/Server/Client.hs
index 9cefbbe..bb3fbe9 100644
--- a/inferno-ml-server-types/src/Inferno/ML/Server/Client.hs
+++ b/inferno-ml-server-types/src/Inferno/ML/Server/Client.hs
@@ -27,7 +27,9 @@ inferenceC ::
   -- | SQL identifier of the inference parameter to be run
   Id (InferenceParam uid gid p s) ->
   -- | Optional resolution for scripts that use e.g. @valueAt@; defaults to
-  -- 128 if not specified
+  -- the param\'s stored resolution if not provided. This lets users override
+  -- the resolution on an ad-hoc basis without needing to alter the stored
+  -- values for the parameter
   Maybe Int64 ->
   -- | Job identifer. This is used to save execution statistics for each
   -- inference evaluation
diff --git a/inferno-ml-server-types/src/Inferno/ML/Server/Types.hs b/inferno-ml-server-types/src/Inferno/ML/Server/Types.hs
index 447057a..83fa904 100644
--- a/inferno-ml-server-types/src/Inferno/ML/Server/Types.hs
+++ b/inferno-ml-server-types/src/Inferno/ML/Server/Types.hs
@@ -614,6 +614,8 @@ data InferenceParam uid gid p s = InferenceParam
     -- Inferno identifiers are always pointing to the correct input\/output;
     -- otherwise we would need to rely on the order of the original identifiers
     inputs :: Map Ident (SingleOrMany p, ScriptInputType),
+    -- | Resolution, passed to bridge routes
+    resolution :: Word64,
     -- | The time that this parameter was \"deleted\", if any. For active
     -- parameters, this will be @Nothing@
     terminated :: Maybe UTCTime,
@@ -637,6 +639,7 @@ instance
       <*> fmap wrappedTo (field @VCObjectHashRow)
       <*> field
       <*> fmap getAeson field
+      <*> fmap fromIntegral (field @Int64)
       <*> field
       <*> field
 
@@ -652,6 +655,7 @@ instance
       ip ^. the @"script" & VCObjectHashRow & toField,
       ip ^. the @"model" & toField,
       ip ^. the @"inputs" & Aeson & toField,
+      ip ^. the @"resolution" & Aeson & toField,
       toField Default,
       ip ^. the @"user" & toField
     ]
diff --git a/inferno-ml-server/CHANGELOG.md b/inferno-ml-server/CHANGELOG.md
index 34e71fe..e894832 100644
--- a/inferno-ml-server/CHANGELOG.md
+++ b/inferno-ml-server/CHANGELOG.md
@@ -1,3 +1,6 @@
+## 2023.6.1
+* Add `resolution` to `InferenceParam`
+
 ## 2023.5.29
 * Change representation of script inputs/outputs
 
diff --git a/inferno-ml-server/exe/ParseAndSave.hs b/inferno-ml-server/exe/ParseAndSave.hs
index 1baf63f..d5a03bc 100644
--- a/inferno-ml-server/exe/ParseAndSave.hs
+++ b/inferno-ml-server/exe/ParseAndSave.hs
@@ -103,11 +103,12 @@ saveScriptAndParam x now inputs conn = insertScript *> insertParam
           -- tests, so we can just hard-code the ID here
           (Id 1)
           inputs
+          128
           Nothing
         $ entityIdFromInteger 0
       where
         q :: Query
-        q = [sql| INSERT INTO params VALUES (?, ?, ?, ?, ?, ?) |]
+        q = [sql| INSERT INTO params VALUES (?, ?, ?, ?, ?, ?, ?) |]
 
     vcfunc :: VCObject
     vcfunc = uncurry VCFunction x
diff --git a/inferno-ml-server/inferno-ml-server.cabal b/inferno-ml-server/inferno-ml-server.cabal
index ef74667..5c17c85 100644
--- a/inferno-ml-server/inferno-ml-server.cabal
+++ b/inferno-ml-server/inferno-ml-server.cabal
@@ -1,6 +1,6 @@
 cabal-version:      2.4
 name:               inferno-ml-server
-version:            2023.5.29
+version:            2023.6.1
 synopsis:           Server for Inferno ML
 description:        Server for Inferno ML
 homepage:           https://github.com/plow-technologies/inferno.git#readme
diff --git a/inferno-ml-server/src/Inferno/ML/Server/Inference.hs b/inferno-ml-server/src/Inferno/ML/Server/Inference.hs
index ee6e50a..8275656 100644
--- a/inferno-ml-server/src/Inferno/ML/Server/Inference.hs
+++ b/inferno-ml-server/src/Inferno/ML/Server/Inference.hs
@@ -25,7 +25,6 @@ import Data.Generics.Wrapped (wrappedTo)
 import Data.Int (Int64)
 import Data.Map (Map)
 import qualified Data.Map as Map
-import Data.Maybe (fromMaybe)
 import qualified Data.Text as Text
 import Data.Time (UTCTime, getCurrentTime)
 import Data.Time.Clock.POSIX (getPOSIXTime)
@@ -97,12 +96,13 @@ import UnliftIO.Timeout (timeout)
 -- in the @/status@ endpoint (using @tryTakeMVar@)
 runInferenceParam ::
   Id InferenceParam ->
-  -- | Optional resolution, defaulting to 128. This is needed in case the
-  -- parameter evaluates a script that calls e.g. @valueAt@
+  -- | Optional resolution. If not provided, @InferenceParam.resolution@ will
+  -- be used. This is provided in order to allow users to override the stored
+  -- resolution without needing to alter the DB
   Maybe Int64 ->
   UUID ->
   RemoteM (WriteStream IO)
-runInferenceParam ipid (fromMaybe 128 -> res) uuid =
+runInferenceParam ipid mres uuid =
   withTimeoutMillis $ \t -> do
     logTrace $ RunningInference ipid t
     maybe (throwM (ScriptTimeout t)) pure
@@ -231,13 +231,22 @@ runInferenceParam ipid (fromMaybe 128 -> res) uuid =
                         mkChunks = awaitForever $ \(p, ws) ->
                           sourceList ws .| chunksOf 500 .| mapC (wrappedTo p,)
 
+                    -- If the optional resolution override has been provided,
+                    -- use that. Otherwise, use the resolution stored in the
+                    -- parameter
+                    resolution :: InverseResolution
+                    resolution =
+                      mres
+                        ^. non
+                          (view (#resolution . to fromIntegral) param)
+                        & toResolution
+
                     implEnv :: Map ExtIdent (Value BridgeMlValue m)
                     implEnv =
                       Map.fromList
                         [ (ExtIdent $ Right "now", VEpochTime t),
                           ( ExtIdent $ Right "resolution",
-                            VCustom . VExtended . VResolution $
-                              toResolution res
+                            VCustom . VExtended $ VResolution resolution
                           )
                         ]
                 _ ->
@@ -347,7 +356,8 @@ getParameter iid =
     q =
       [sql|
         SELECT * FROM params
-        WHERE id = ? AND terminated IS NULL
+        WHERE id = ?
+          AND terminated IS NULL
         LIMIT 1
       |]
 
@@ -361,7 +371,6 @@ getParameter iid =
 -- cache! It can be run using e.g. 'withCurrentDirectory'
 getAndCacheModel :: ModelCache -> Id ModelVersion -> RemoteM FilePath
 getAndCacheModel cache mid = do
-  logTrace $ CopyingModel mid
   -- Both the individual version is required (in order to fetch the contents)
   -- as well as the parent model row (for the model name)
   mversion <- getModelVersion mid
@@ -371,7 +380,8 @@ getAndCacheModel cache mid = do
     copyAndCache :: Model -> ModelVersion -> RemoteM FilePath
     copyAndCache model mversion =
       versioned <$ do
-        unlessM (doesPathExist versioned) $
+        unlessM (doesPathExist versioned) $ do
+          logTrace $ CopyingModel mid
           bitraverse_ checkCacheSize (writeBinaryFileDurableAtomic versioned)
             =<< getModelSizeAndContents (view #contents mversion)
       where
@@ -379,9 +389,10 @@ getAndCacheModel cache mid = do
         -- `<name>.ts.pt.<version>`, which will later be
         -- symlinked to `<name>.ts.pt`
         versioned :: FilePath
-        versioned =
-          model ^. #name . unpacked
-            & (<.> view (#version . to showVersion . unpacked) mversion)
+        versioned = model ^. #name . unpacked & (<.> v)
+          where
+            v :: FilePath
+            v = mversion ^. #version . to showVersion . unpacked
 
     -- Checks that the configured cache size will not be exceeded by
     -- caching the new model. If it will, least-recently-used models
diff --git a/inferno-ml-server/src/Inferno/ML/Server/Module/Bridge.hs b/inferno-ml-server/src/Inferno/ML/Server/Module/Bridge.hs
index e0364cc..be7ec9b 100644
--- a/inferno-ml-server/src/Inferno/ML/Server/Module/Bridge.hs
+++ b/inferno-ml-server/src/Inferno/ML/Server/Module/Bridge.hs
@@ -11,7 +11,7 @@ import Inferno.ML.Server.Types
 import Inferno.Module.Cast (ToValue (toValue))
 import Inferno.Types.Value
   ( ImplicitCast (ImplicitCast),
-    Value (..),
+    Value (VDouble, VOne, VTuple),
     liftImplEnvM,
   )
 import System.Posix.Types (EpochTime)
diff --git a/inferno-ml-server/src/Inferno/ML/Server/Types.hs b/inferno-ml-server/src/Inferno/ML/Server/Types.hs
index c2d4ef3..3775a22 100644
--- a/inferno-ml-server/src/Inferno/ML/Server/Types.hs
+++ b/inferno-ml-server/src/Inferno/ML/Server/Types.hs
@@ -374,11 +374,12 @@ pattern InferenceParam ::
   VCObjectHash ->
   Id ModelVersion ->
   Map Ident (SingleOrMany PID, ScriptInputType) ->
+  Word64 ->
   Maybe UTCTime ->
   EntityId UId ->
   InferenceParam
-pattern InferenceParam iid s m ios mt uid =
-  Types.InferenceParam iid s m ios mt uid
+pattern InferenceParam iid s m ios res mt uid =
+  Types.InferenceParam iid s m ios res mt uid
 
 pattern VCMeta ::
   CTime ->
diff --git a/nix/inferno-ml/migrations/v1-create-tables.sql b/nix/inferno-ml/migrations/v1-create-tables.sql
index 4d0bdbe..b9a90fa 100644
--- a/nix/inferno-ml/migrations/v1-create-tables.sql
+++ b/nix/inferno-ml/migrations/v1-create-tables.sql
@@ -71,6 +71,8 @@ create table if not exists params
     -- corresponding Haskell type contains `(p, ScriptInputType)`, with
     -- the second element determining readability and writability
   , inputs jsonb not null
+    -- Resolution passed to script evaluator
+  , resolution integer not null
     -- See note above
   , terminated timestamptz
   , "user" integer references users (id)