diff --git a/crates/omnigraph-server/src/lib.rs b/crates/omnigraph-server/src/lib.rs
index ad559ab..6c6dcaf 100644
--- a/crates/omnigraph-server/src/lib.rs
+++ b/crates/omnigraph-server/src/lib.rs
@@ -904,6 +904,8 @@ async fn server_export(
         (status = 401, description = "Unauthorized", body = ErrorOutput),
         (status = 403, description = "Forbidden", body = ErrorOutput),
         (status = 409, description = "Merge conflict", body = ErrorOutput),
+        (status = 429, description = "Per-actor admission cap exceeded; honor `Retry-After` header", body = ErrorOutput),
+        (status = 503, description = "Global rewrite pool exhausted; honor `Retry-After` header", body = ErrorOutput),
     ),
     security(("bearer_token" = [])),
 )]
@@ -1029,6 +1031,8 @@ async fn server_schema_get(
         (status = 400, description = "Bad request", body = ErrorOutput),
         (status = 401, description = "Unauthorized", body = ErrorOutput),
         (status = 403, description = "Forbidden", body = ErrorOutput),
+        (status = 429, description = "Per-actor admission cap exceeded; honor `Retry-After` header", body = ErrorOutput),
+        (status = 503, description = "Global rewrite pool exhausted; honor `Retry-After` header", body = ErrorOutput),
     ),
     security(("bearer_token" = [])),
 )]
@@ -1083,6 +1087,8 @@ async fn server_schema_apply(
         (status = 400, description = "Bad request", body = ErrorOutput),
         (status = 401, description = "Unauthorized", body = ErrorOutput),
         (status = 403, description = "Forbidden", body = ErrorOutput),
+        (status = 429, description = "Per-actor admission cap exceeded; honor `Retry-After` header", body = ErrorOutput),
+        (status = 503, description = "Global rewrite pool exhausted; honor `Retry-After` header", body = ErrorOutput),
     ),
     security(("bearer_token" = [])),
 )]
@@ -1210,6 +1216,8 @@ async fn server_branch_list(
         (status = 401, description = "Unauthorized", body = ErrorOutput),
         (status = 403, description = "Forbidden", body = ErrorOutput),
         (status = 409, description = "Branch already exists", body = ErrorOutput),
+        (status = 429, description = "Per-actor admission cap exceeded; honor `Retry-After` header", body = ErrorOutput),
+        (status = 503, description = "Global rewrite pool exhausted; honor `Retry-After` header", body = ErrorOutput),
     ),
     security(("bearer_token" = [])),
 )]
@@ -1275,6 +1283,8 @@ async fn server_branch_create(
         (status = 401, description = "Unauthorized", body = ErrorOutput),
         (status = 403, description = "Forbidden", body = ErrorOutput),
         (status = 404, description = "Branch not found", body = ErrorOutput),
+        (status = 429, description = "Per-actor admission cap exceeded; honor `Retry-After` header", body = ErrorOutput),
+        (status = 503, description = "Global rewrite pool exhausted; honor `Retry-After` header", body = ErrorOutput),
     ),
     security(("bearer_token" = [])),
 )]
@@ -1333,6 +1343,8 @@ async fn server_branch_delete(
         (status = 401, description = "Unauthorized", body = ErrorOutput),
         (status = 403, description = "Forbidden", body = ErrorOutput),
         (status = 409, description = "Merge conflict", body = ErrorOutput),
+        (status = 429, description = "Per-actor admission cap exceeded; honor `Retry-After` header", body = ErrorOutput),
+        (status = 503, description = "Global rewrite pool exhausted; honor `Retry-After` header", body = ErrorOutput),
     ),
     security(("bearer_token" = [])),
 )]
diff --git a/openapi.json b/openapi.json
index a7f0cad..ce7aa1c 100644
--- a/openapi.json
+++ b/openapi.json
@@ -123,6 +123,26 @@
                 }
               }
             }
+          },
+          "429": {
+            "description": "Per-actor admission cap exceeded; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
+          },
+          "503": {
+            "description": "Global rewrite pool exhausted; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
           }
         },
         "security": [
@@ -200,6 +220,26 @@
                 }
               }
             }
+          },
+          "429": {
+            "description": "Per-actor admission cap exceeded; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
+          },
+          "503": {
+            "description": "Global rewrite pool exhausted; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
           }
         },
         "security": [
@@ -268,6 +308,26 @@
                 }
               }
             }
+          },
+          "429": {
+            "description": "Per-actor admission cap exceeded; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
+          },
+          "503": {
+            "description": "Global rewrite pool exhausted; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
           }
         },
         "security": [
@@ -345,6 +405,26 @@
                 }
               }
             }
+          },
+          "429": {
+            "description": "Per-actor admission cap exceeded; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
+          },
+          "503": {
+            "description": "Global rewrite pool exhausted; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
           }
         },
         "security": [
@@ -625,6 +705,26 @@
                 }
               }
             }
+          },
+          "429": {
+            "description": "Per-actor admission cap exceeded; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
+          },
+          "503": {
+            "description": "Global rewrite pool exhausted; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
           }
         },
         "security": [
@@ -806,6 +906,26 @@
                 }
               }
             }
+          },
+          "429": {
+            "description": "Per-actor admission cap exceeded; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
+          },
+          "503": {
+            "description": "Global rewrite pool exhausted; honor `Retry-After` header",
+            "content": {
+              "application/json": {
+                "schema": {
+                  "$ref": "#/components/schemas/ErrorOutput"
+                }
+              }
+            }
           }
         },
         "security": [