diff --git a/init.el b/init.el
index 4369c85..eb9c1b5 100644
--- a/init.el
+++ b/init.el
@@ -49,6 +49,12 @@
       )
 
 
+;; Diminish some built-in modes that we don't really care about:
+
+(add-hook 'eldoc-mode-hook    (lambda () (diminish 'eldoc-mode)))
+(add-hook 'hs-minor-mode-hook (lambda () (diminish 'hs-minor-mode)))
+
+
 ;; Load all user-defined configuration files:
 
 (load-user-file "editor.el")
diff --git a/interface.el b/interface.el
index 6118b8d..cb49771 100644
--- a/interface.el
+++ b/interface.el
@@ -19,6 +19,9 @@
       scroll-margin                       0
       scroll-preserve-screen-position     1)
 
+;; Hide the frame identifier in the mode line.
+(setq mode-line-frame-identification " ")
+
 ;; Display the column and line numbers of the cursor in the mode line.
 (column-number-mode)
 
diff --git a/key-bindings.el b/key-bindings.el
index 0d8cf7e..2109d82 100644
--- a/key-bindings.el
+++ b/key-bindings.el
@@ -10,6 +10,5 @@
 ;; Enable code folding in programming modes, and set some more reasonable
 ;; shortcuts.
 (add-hook 'prog-mode-hook #'hs-minor-mode)
-(add-hook 'hs-minor-mode-hook (lambda () (diminish 'hs-minor-mode)))
 (global-set-key (kbd "C-c C-h") (kbd "C-c @ C-h")) ; Hide a block
 (global-set-key (kbd "C-c C-s") (kbd "C-c @ C-s")) ; Show a block