diff --git a/specification/schema/hugr_schema_live.json b/specification/schema/hugr_schema_live.json
index 26c2f3bfc..743f6c7f9 100644
--- a/specification/schema/hugr_schema_live.json
+++ b/specification/schema/hugr_schema_live.json
@@ -657,6 +657,13 @@
                     },
                     "title": "Args",
                     "type": "array"
+                },
+                "static_inputs": {
+                    "items": {
+                        "$ref": "#/$defs/Type"
+                    },
+                    "title": "Static Inputs",
+                    "type": "array"
                 }
             },
             "required": [
@@ -1134,6 +1141,13 @@
                     "title": "Binary",
                     "type": "boolean"
                 },
+                "static_inputs": {
+                    "items": {
+                        "$ref": "#/$defs/Type"
+                    },
+                    "title": "Static Inputs",
+                    "type": "array"
+                },
                 "lower_funcs": {
                     "items": {
                         "$ref": "#/$defs/FixedHugr"
diff --git a/specification/schema/hugr_schema_strict_live.json b/specification/schema/hugr_schema_strict_live.json
index 3ae0e3c28..23b589090 100644
--- a/specification/schema/hugr_schema_strict_live.json
+++ b/specification/schema/hugr_schema_strict_live.json
@@ -657,6 +657,13 @@
                     },
                     "title": "Args",
                     "type": "array"
+                },
+                "static_inputs": {
+                    "items": {
+                        "$ref": "#/$defs/Type"
+                    },
+                    "title": "Static Inputs",
+                    "type": "array"
                 }
             },
             "required": [
@@ -1134,6 +1141,13 @@
                     "title": "Binary",
                     "type": "boolean"
                 },
+                "static_inputs": {
+                    "items": {
+                        "$ref": "#/$defs/Type"
+                    },
+                    "title": "Static Inputs",
+                    "type": "array"
+                },
                 "lower_funcs": {
                     "items": {
                         "$ref": "#/$defs/FixedHugr"
diff --git a/specification/schema/testing_hugr_schema_live.json b/specification/schema/testing_hugr_schema_live.json
index 7696790dc..080ba2402 100644
--- a/specification/schema/testing_hugr_schema_live.json
+++ b/specification/schema/testing_hugr_schema_live.json
@@ -657,6 +657,13 @@
                     },
                     "title": "Args",
                     "type": "array"
+                },
+                "static_inputs": {
+                    "items": {
+                        "$ref": "#/$defs/Type"
+                    },
+                    "title": "Static Inputs",
+                    "type": "array"
                 }
             },
             "required": [
@@ -1134,6 +1141,13 @@
                     "title": "Binary",
                     "type": "boolean"
                 },
+                "static_inputs": {
+                    "items": {
+                        "$ref": "#/$defs/Type"
+                    },
+                    "title": "Static Inputs",
+                    "type": "array"
+                },
                 "lower_funcs": {
                     "items": {
                         "$ref": "#/$defs/FixedHugr"
diff --git a/specification/schema/testing_hugr_schema_strict_live.json b/specification/schema/testing_hugr_schema_strict_live.json
index 0490b157d..f70a2533f 100644
--- a/specification/schema/testing_hugr_schema_strict_live.json
+++ b/specification/schema/testing_hugr_schema_strict_live.json
@@ -657,6 +657,13 @@
                     },
                     "title": "Args",
                     "type": "array"
+                },
+                "static_inputs": {
+                    "items": {
+                        "$ref": "#/$defs/Type"
+                    },
+                    "title": "Static Inputs",
+                    "type": "array"
                 }
             },
             "required": [
@@ -1134,6 +1141,13 @@
                     "title": "Binary",
                     "type": "boolean"
                 },
+                "static_inputs": {
+                    "items": {
+                        "$ref": "#/$defs/Type"
+                    },
+                    "title": "Static Inputs",
+                    "type": "array"
+                },
                 "lower_funcs": {
                     "items": {
                         "$ref": "#/$defs/FixedHugr"