diff --git a/README.md b/README.md
index d753820..f1fc162 100644
--- a/README.md
+++ b/README.md
@@ -59,4 +59,10 @@ Reading JSON streams with callbacks
 -----------------------------------
 
 If you are outputting a new stream as you read instead of just looking for the
-sub-objects that interest you,
+sub-objects that interest you, you also need to know when arrays and hashes begin,
+not just when they end, so you can output the opening bracket or brace. For this
+purpose there is an additional streaming reader function,
+<code>json_read_separators()</code>, which takes an additional argument for
+a function to call when brackets, braces, commas, and colons are read.
+Other object types and the closing of arrays and hashes are still sent through
+the normal return value.
diff --git a/jsoncat.c b/jsoncat.c
index f3220e1..7f2272b 100644
--- a/jsoncat.c
+++ b/jsoncat.c
@@ -113,7 +113,7 @@ void process_callback(FILE *f, char *fname) {
 	json_object *j;
 	int level = 0;
 
-	while ((j = json_read_with_separators(jp, callback, &level)) != NULL) {
+	while ((j = json_read_separators(jp, callback, &level)) != NULL) {
 		json_print_one(j, &level);
 		json_free(j);
 
diff --git a/jsonpull.c b/jsonpull.c
index 8a62019..e2ac071 100644
--- a/jsonpull.c
+++ b/jsonpull.c
@@ -175,7 +175,7 @@ static void string_free(struct string *s) {
 	free(s->buf);
 }
 
-json_object *json_read_with_separators(json_pull *j, json_separator_callback cb, void *state) {
+json_object *json_read_separators(json_pull *j, json_separator_callback cb, void *state) {
 	int c;
 again:
 	/////////////////////////// Whitespace
@@ -476,7 +476,7 @@ again:
 }
 
 json_object *json_read(json_pull *j) {
-	return json_read_with_separators(j, NULL, NULL);
+	return json_read_separators(j, NULL, NULL);
 }
 
 json_object *json_read_tree(json_pull *p) {
diff --git a/jsonpull.h b/jsonpull.h
index da5232b..6e14d6a 100644
--- a/jsonpull.h
+++ b/jsonpull.h
@@ -44,7 +44,7 @@ typedef void (*json_separator_callback)(json_type type, json_pull *j, void *stat
 
 json_object *json_read_tree(json_pull *j);
 json_object *json_read(json_pull *j);
-json_object *json_read_with_separators(json_pull *j, json_separator_callback cb, void *state);
+json_object *json_read_separators(json_pull *j, json_separator_callback cb, void *state);
 void json_free(json_object *j);
 
 json_object *json_hash_get(json_object *o, char *s);