diff --git a/hatch_rs/plugin.py b/hatch_rs/plugin.py
index a16cc22..a12e2e8 100644
--- a/hatch_rs/plugin.py
+++ b/hatch_rs/plugin.py
@@ -87,7 +87,7 @@ def initialize(self, version: str, build_data: dict[str, Any]) -> None:
         #     else:
         #         build_data["tag"] = f"cp{version_major}{version_minor}-cp{version_major}{version_minor}-{os_name}_{machine}"
         build_data["pure_python"] = False
-        machine = platform_machine()
+        machine = platform_machine().lower()
         version_major = version_info.major
         version_minor = version_info.minor