diff --git a/schema/config-linux.json b/schema/config-linux.json
index fa033e805..f2e5a3b34 100644
--- a/schema/config-linux.json
+++ b/schema/config-linux.json
@@ -179,11 +179,11 @@
                         "properties": {
                             "cpus": {
                                 "id": "https://opencontainers.org/schema/bundle/linux/resources/cpu/cpus",
-                                "$ref": "defs.json#/definitions/string"
+                                "$ref": "string"
                             },
                             "mems": {
                                 "id": "https://opencontainers.org/schema/bundle/linux/resources/cpu/mems",
-                                "$ref": "defs.json#/definitions/string"
+                                "$ref": "string"
                             },
                             "period": {
                                 "id": "https://opencontainers.org/schema/bundle/linux/resources/cpu/period",
@@ -295,7 +295,7 @@
             },
             "cgroupsPath": {
                 "id": "https://opencontainers.org/schema/bundle/linux/cgroupsPath",
-                "$ref": "defs.json#/definitions/string"
+                "$ref": "string"
             },
             "rootfsPropagation": {
                 "id": "https://opencontainers.org/schema/bundle/linux/rootfsPropagation",
diff --git a/schema/defs-linux.json b/schema/defs-linux.json
index 3044eb615..bf9d975bf 100644
--- a/schema/defs-linux.json
+++ b/schema/defs-linux.json
@@ -238,7 +238,7 @@
                     "type": "boolean"
                 },
                 "type": {
-                    "$ref": "defs.json#/definitions/string"
+                    "$ref": "string"
                 },
                 "major": {
                     "oneOf": [
@@ -261,7 +261,7 @@
                     ]
                 },
                 "access": {
-                    "$ref": "defs.json#/definitions/string"
+                    "$ref": "string"
                 }
             },
             "required": [