diff --git a/scripts/Makefile.static b/scripts/Makefile.static
index 5f21944..93c20b6 100644
--- a/scripts/Makefile.static
+++ b/scripts/Makefile.static
@@ -7,11 +7,20 @@ GZ = $(patsubst %,%.gz,$(SRCS))
 .PHONY: all
 all: $(ZSTD) $(BR) $(GZ)
 
-%.br: %
-	brotli $<
+.SECONDARY:
 
-%.zst: %
-	zstd -19 $<
+%.br: %.xxhash
+	brotli -f $*
 
-%.gz: %
-	zopfli $<
+%.zst: %.xxhash
+	zstd -f -19 $*
+
+%.gz: %.xxhash
+	zopfli $*
+
+# https://github.com/gohugoio/hugo/issues/10842
+%.xxhash: %
+	current=$$(xxhsum $< | cut -d' ' -f1); \
+	if [ ! -f $< ] || [ "$$(cat $@ 2>/dev/null)" != "$$current" ]; then \
+		echo "$$current" > $@; \
+	fi