diff --git a/eo-phi-normalizer/app/Main.hs b/eo-phi-normalizer/app/Main.hs
index 8d77f710..09c59ccc 100644
--- a/eo-phi-normalizer/app/Main.hs
+++ b/eo-phi-normalizer/app/Main.hs
@@ -556,9 +556,10 @@ wrapRawBytesIn = \case
       ]
   ObjectDispatch obj a ->
     ObjectDispatch (wrapRawBytesIn obj) a
-  GlobalObject -> GlobalObject
-  ThisObject -> ThisObject
   Termination -> wrapTermination
+  obj@GlobalObject -> obj
+  obj@GlobalObjectPhiOrg -> obj
+  obj@ThisObject -> obj
   obj@MetaSubstThis{} -> obj
   obj@MetaContextualize{} -> obj
   obj@MetaObject{} -> obj
diff --git a/eo-phi-normalizer/grammar/EO/Phi/Syntax.cf b/eo-phi-normalizer/grammar/EO/Phi/Syntax.cf
index 7e5736f4..4519cde6 100644
--- a/eo-phi-normalizer/grammar/EO/Phi/Syntax.cf
+++ b/eo-phi-normalizer/grammar/EO/Phi/Syntax.cf
@@ -48,20 +48,21 @@ MetaIdBindings. MetaId ::= BindingsMetaId ;
 MetaIdObject.   MetaId ::= ObjectMetaId ;
 MetaIdBytes.    MetaId ::= BytesMetaId ;
 
-Formation.         Object ::= "⟦" [Binding] "⟧" ;
-Application.       Object ::= Object "(" [Binding] ")" ;
-ObjectDispatch.    Object ::= Object "." Attribute ;
-GlobalObject.      Object ::= "Φ";
-ThisObject.        Object ::= "ξ";
-Termination.       Object ::= "⊥" ;
-ConstString.       Object ::= String ;
-ConstInt.          Object ::= Integer ;
-ConstFloat.        Object ::= Double ;
-MetaSubstThis.     Object ::= Object "[" "ξ" "↦" Object "]" ;
-MetaContextualize. Object ::= "⌈" Object "," Object "⌉" ;
-MetaObject.        Object ::= ObjectMetaId ;
-MetaTailContext.   Object ::= Object "*" TailMetaId ;
-MetaFunction.      Object ::= MetaFunctionName "(" Object ")" ;
+Formation.          Object ::= "⟦" [Binding] "⟧" ;
+Application.        Object ::= Object "(" [Binding] ")" ;
+ObjectDispatch.     Object ::= Object "." Attribute ;
+GlobalObject.       Object ::= "Φ";
+GlobalObjectPhiOrg. Object ::= "Φ̇";
+ThisObject.         Object ::= "ξ";
+Termination.        Object ::= "⊥" ;
+ConstString.        Object ::= String ;
+ConstInt.           Object ::= Integer ;
+ConstFloat.         Object ::= Double ;
+MetaSubstThis.      Object ::= Object "[" "ξ" "↦" Object "]" ;
+MetaContextualize.  Object ::= "⌈" Object "," Object "⌉" ;
+MetaObject.         Object ::= ObjectMetaId ;
+MetaTailContext.    Object ::= Object "*" TailMetaId ;
+MetaFunction.       Object ::= MetaFunctionName "(" Object ")" ;
 
 AlphaBinding.       Binding ::= Attribute "↦" Object ;
 EmptyBinding.       Binding ::= Attribute "↦" "∅" ;
diff --git a/eo-phi-normalizer/src/Language/EO/Phi/Normalize.hs b/eo-phi-normalizer/src/Language/EO/Phi/Normalize.hs
index 02112920..7e613416 100644
--- a/eo-phi-normalizer/src/Language/EO/Phi/Normalize.hs
+++ b/eo-phi-normalizer/src/Language/EO/Phi/Normalize.hs
@@ -71,6 +71,7 @@ peelObject = \case
   Application object bindings -> peelObject object `followedBy` ActionApplication bindings
   ObjectDispatch object attr -> peelObject object `followedBy` ActionDispatch attr
   GlobalObject -> PeeledObject HeadGlobal []
+  obj@GlobalObjectPhiOrg -> peelObject (desugar obj)
   ThisObject -> PeeledObject HeadThis []
   Termination -> PeeledObject HeadTermination []
   MetaObject _ -> PeeledObject HeadTermination []
diff --git a/eo-phi-normalizer/src/Language/EO/Phi/Rules/Common.hs b/eo-phi-normalizer/src/Language/EO/Phi/Rules/Common.hs
index a85dbac4..bdfba220 100644
--- a/eo-phi-normalizer/src/Language/EO/Phi/Rules/Common.hs
+++ b/eo-phi-normalizer/src/Language/EO/Phi/Rules/Common.hs
@@ -118,6 +118,7 @@ withSubObject f ctx root =
         ]
     ObjectDispatch obj a -> propagateName2 ObjectDispatch <$> withSubObject f subctx obj <*> pure a
     GlobalObject{} -> []
+    GlobalObjectPhiOrg{} -> []
     ThisObject{} -> []
     Termination -> []
     MetaObject _ -> []
@@ -188,13 +189,19 @@ objectSize = \case
   Application obj bindings -> 1 + objectSize obj + sum (map bindingSize bindings)
   ObjectDispatch obj _attr -> 1 + objectSize obj
   GlobalObject -> 1
+  -- TODO #617:30m
+  -- @fizruk, why desugar here and not assume the object is desugared?
+  -- Is it because we sometimes bounce between sugared and desugared versions?
+  --
+  -- Should we introduce a smart constructor with a desugared object inside?
+  obj@GlobalObjectPhiOrg -> objectSize (desugar obj)
   ThisObject -> 1
   Termination -> 1
-  MetaObject{} -> 1 -- should be impossible
-  MetaFunction{} -> 1 -- should be impossible
-  MetaSubstThis{} -> 1 -- should be impossible
-  MetaContextualize{} -> 1 -- should be impossible
-  MetaTailContext{} -> 1 -- should be impossible
+  obj@MetaObject{} -> error ("impossible: expected a desugared object, but got: " <> printTree obj)
+  obj@MetaFunction{} -> error ("impossible: expected a desugared object, but got: " <> printTree obj)
+  obj@MetaSubstThis{} -> error ("impossible: expected a desugared object, but got: " <> printTree obj)
+  obj@MetaContextualize{} -> error ("impossible: expected a desugared object, but got: " <> printTree obj)
+  obj@MetaTailContext{} -> error ("impossible: expected a desugared object, but got: " <> printTree obj)
   obj@ConstString{} -> objectSize (desugar obj)
   obj@ConstInt{} -> objectSize (desugar obj)
   obj@ConstFloat{} -> objectSize (desugar obj)
@@ -206,8 +213,8 @@ bindingSize = \case
   DeltaBinding _bytes -> 1
   DeltaEmptyBinding -> 1
   LambdaBinding _lam -> 1
-  MetaDeltaBinding{} -> 1 -- should be impossible
-  MetaBindings{} -> 1 -- should be impossible
+  obj@MetaDeltaBinding{} -> error ("impossible: expected a desugared object, but got: " <> printTree obj)
+  obj@MetaBindings{} -> error ("impossible: expected a desugared object, but got: " <> printTree obj)
 
 -- | A variant of `applyRules` with a maximum application depth.
 applyRulesWith :: ApplicationLimits -> Context -> Object -> [Object]
diff --git a/eo-phi-normalizer/src/Language/EO/Phi/Rules/Fast.hs b/eo-phi-normalizer/src/Language/EO/Phi/Rules/Fast.hs
index 8abae456..48f39f4c 100644
--- a/eo-phi-normalizer/src/Language/EO/Phi/Rules/Fast.hs
+++ b/eo-phi-normalizer/src/Language/EO/Phi/Rules/Fast.hs
@@ -205,6 +205,8 @@ fastYegorInsideOut ctx = \case
                       AlphaBinding a (fastYegorInsideOut ctx' objA)
                     _ -> binding
           ]
+  -- TODO #617:30m Should this be error?
+  obj@GlobalObjectPhiOrg -> fastYegorInsideOut ctx (desugar obj)
   Termination -> Termination
   MetaSubstThis{} -> error "impossible MetaSubstThis!"
   MetaContextualize{} -> error "impossible MetaContextualize!"
diff --git a/eo-phi-normalizer/src/Language/EO/Phi/Rules/Yaml.hs b/eo-phi-normalizer/src/Language/EO/Phi/Rules/Yaml.hs
index f00e22ad..a3f9d539 100644
--- a/eo-phi-normalizer/src/Language/EO/Phi/Rules/Yaml.hs
+++ b/eo-phi-normalizer/src/Language/EO/Phi/Rules/Yaml.hs
@@ -228,6 +228,7 @@ usedLabelIds Context{..} = objectLabelIds globalObject
 objectLabelIds :: Object -> Set LabelId
 objectLabelIds = \case
   GlobalObject -> mempty
+  obj@GlobalObjectPhiOrg -> objectLabelIds (desugar obj)
   ThisObject -> mempty
   Formation bindings -> foldMap bindingLabelIds bindings
   ObjectDispatch obj a -> objectLabelIds obj <> attrLabelIds a
@@ -278,6 +279,7 @@ objectMetaIds (Formation bindings) = foldMap bindingMetaIds bindings
 objectMetaIds (Application object bindings) = objectMetaIds object <> foldMap bindingMetaIds bindings
 objectMetaIds (ObjectDispatch object attr) = objectMetaIds object <> attrMetaIds attr
 objectMetaIds GlobalObject = mempty
+objectMetaIds GlobalObjectPhiOrg = mempty
 objectMetaIds ThisObject = mempty
 objectMetaIds Termination = mempty
 objectMetaIds (MetaObject x) = Set.singleton (MetaIdObject x)
@@ -310,6 +312,7 @@ objectHasMetavars (Formation bindings) = any bindingHasMetavars bindings
 objectHasMetavars (Application object bindings) = objectHasMetavars object || any bindingHasMetavars bindings
 objectHasMetavars (ObjectDispatch object attr) = objectHasMetavars object || attrHasMetavars attr
 objectHasMetavars GlobalObject = False
+objectHasMetavars GlobalObjectPhiOrg = False
 objectHasMetavars ThisObject = False
 objectHasMetavars Termination = False
 objectHasMetavars (MetaObject _) = True
@@ -436,6 +439,7 @@ applySubst subst@Subst{..} = \case
   ObjectDispatch obj a ->
     ObjectDispatch (applySubst subst obj) (applySubstAttr subst a)
   GlobalObject -> GlobalObject
+  obj@GlobalObjectPhiOrg -> applySubst subst (desugar obj)
   ThisObject -> ThisObject
   obj@(MetaObject x) -> fromMaybe obj $ lookup x objectMetas
   Termination -> Termination
@@ -522,7 +526,8 @@ matchOneHoleContext ctxId pat obj = matchWhole <> matchPart
     ConstString{} -> []
     ConstInt{} -> []
     ConstFloat{} -> []
-    -- should cases below be errors?
+    -- TODO #617:30m Should cases below be errors?
+    GlobalObjectPhiOrg -> []
     MetaSubstThis{} -> []
     MetaContextualize{} -> []
     MetaObject{} -> []
@@ -629,6 +634,7 @@ substThis thisObj = go
     Application obj bindings -> Application (go obj) (map (substThisBinding thisObj) bindings)
     ObjectDispatch obj a -> ObjectDispatch (go obj) a
     GlobalObject -> GlobalObject
+    obj@GlobalObjectPhiOrg -> go (desugar obj)
     Termination -> Termination
     obj@MetaTailContext{} -> error ("impossible: trying to substitute ξ in " <> printTree obj)
     obj@MetaContextualize{} -> error ("impossible: trying to substitute ξ in " <> printTree obj)
@@ -662,6 +668,7 @@ contextualize thisObj = go
     ObjectDispatch obj a -> ObjectDispatch (go obj) a
     Application obj bindings -> Application (go obj) (map (contextualizeBinding thisObj) bindings)
     GlobalObject -> GlobalObject -- TODO: Change to what GlobalObject is attached to
+    obj@GlobalObjectPhiOrg -> go (desugar obj) -- TODO: Change to what GlobalObject is attached to
     Termination -> Termination
     obj@MetaTailContext{} -> error ("impossible: trying to contextualize " <> printTree obj)
     obj@MetaContextualize{} -> error ("impossible: trying to contextualize " <> printTree obj)
diff --git a/eo-phi-normalizer/src/Language/EO/Phi/Syntax.hs b/eo-phi-normalizer/src/Language/EO/Phi/Syntax.hs
index 69b69025..11f3550a 100644
--- a/eo-phi-normalizer/src/Language/EO/Phi/Syntax.hs
+++ b/eo-phi-normalizer/src/Language/EO/Phi/Syntax.hs
@@ -108,6 +108,7 @@ desugar = \case
   Application obj bindings -> Application (desugar obj) (map desugarBinding bindings)
   ObjectDispatch obj a -> ObjectDispatch (desugar obj) a
   GlobalObject -> GlobalObject
+  GlobalObjectPhiOrg -> ObjectDispatch (ObjectDispatch GlobalObject (Label (LabelId "org"))) (Label (LabelId "eolang"))
   ThisObject -> ThisObject
   Termination -> Termination
   MetaSubstThis obj this -> MetaSubstThis (desugar obj) (desugar this)
diff --git a/eo-phi-normalizer/src/Language/EO/Phi/ToLaTeX.hs b/eo-phi-normalizer/src/Language/EO/Phi/ToLaTeX.hs
index 241b64b0..869204e9 100644
--- a/eo-phi-normalizer/src/Language/EO/Phi/ToLaTeX.hs
+++ b/eo-phi-normalizer/src/Language/EO/Phi/ToLaTeX.hs
@@ -76,6 +76,7 @@ instance ToLatex Object where
   toLatex (ObjectDispatch obj attr) =
     toLatex obj <> "." <> toLatex attr
   toLatex GlobalObject = "Q"
+  toLatex GlobalObjectPhiOrg = "QQ"
   toLatex ThisObject = "\\xi"
   toLatex Termination = "\\dead"
   toLatex (MetaObject (ObjectMetaId metaId)) = LaTeX metaId
diff --git a/eo-phi-normalizer/test/eo/phi/dataization.yaml b/eo-phi-normalizer/test/eo/phi/dataization.yaml
index 3ca51612..5ba2d08e 100644
--- a/eo-phi-normalizer/test/eo/phi/dataization.yaml
+++ b/eo-phi-normalizer/test/eo/phi/dataization.yaml
@@ -29,7 +29,7 @@ tests:
     input: |
       {⟦
         c ↦ Φ.org.eolang.number(
-          as-bytes ↦ Φ.org.eolang.bytes(Δ ⤍ 40-39-00-00-00-00-00-00)
+          as-bytes ↦ Φ̇.bytes(Δ ⤍ 40-39-00-00-00-00-00-00)
         ), // 25.0
         φ ↦ ξ.c.times(x ↦ ⟦ Δ ⤍ 3F-FC-CC-CC-CC-CC-CC-CD ⟧)  // 1.8
               .plus(x ↦ ⟦ Δ ⤍ 40-40-00-00-00-00-00-00 ⟧), // 32.0
@@ -43,7 +43,7 @@ tests:
       - ./data/0.41.2/org/eolang/true.phi
       - ./data/0.41.2/org/eolang/false.phi
     input: |
-      {⟦ φ ↦ Φ.org.eolang.true.eq(α0 ↦ Φ.org.eolang.true) ⟧}
+      {⟦ φ ↦ Φ.org.eolang.true.eq(α0 ↦ Φ̇.true) ⟧}
     output:
       bytes: "01-"