diff --git a/src/test/java/com/fasterxml/jackson/databind/node/JsonPointerCore1361Test.java b/src/test/java/com/fasterxml/jackson/databind/node/JsonPointerCore1361Test.java
new file mode 100644
index 0000000000..e250277354
--- /dev/null
+++ b/src/test/java/com/fasterxml/jackson/databind/node/JsonPointerCore1361Test.java
@@ -0,0 +1,36 @@
+package com.fasterxml.jackson.databind.node;
+
+import org.junit.jupiter.api.Test;
+
+import com.fasterxml.jackson.core.JsonPointer;
+import com.fasterxml.jackson.databind.*;
+import com.fasterxml.jackson.databind.testutil.DatabindTestUtil;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertFalse;
+
+// For [core#1361] (not databind)
+public class JsonPointerCore1361Test extends DatabindTestUtil
+{
+    @Test
+    public void test1361() throws Exception
+    {
+        ObjectMapper om = newJsonMapper();
+        ObjectNode jo = om.createObjectNode();
+        ArrayNode nums = om.createArrayNode().add(42).add(-99);
+        jo.set("num~s",nums);
+        JsonPointer jp = JsonPointer.compile("/num~s/0");
+
+        jo.remove("num~s");
+        jo.set("nums~",nums);
+        jp = JsonPointer.compile("/nums~");
+
+        jo.remove("num~s");
+        jo.set("nums~",nums);
+        jp = JsonPointer.compile("/nums~/0");
+
+        JsonNode elem0 = jo.at(jp);
+        assertFalse(elem0.isMissingNode());
+        assertEquals(42, elem0.asInt());
+    }
+}