diff --git a/encoding/openapi/types.go b/encoding/openapi/types.go
index 39f5c59..f262681 100644
--- a/encoding/openapi/types.go
+++ b/encoding/openapi/types.go
@@ -27,7 +27,7 @@
 	"cuelang.org/go/cue/token"
 )
 
-// See https://github.com/OAI/OpenAPI-Specification/blob/master/versions/3.0.0.md#format
+// See https://github.com/OAI/OpenAPI-Specification/blob/master/versions/3.0.0.md#data-types
 var cueToOpenAPI = map[string]string{
 	"int32": "int32",
 	"int64": "int64",
@@ -35,15 +35,14 @@
 	"float64": "double",
 	"float32": "float",
 
-	"string": "string",
-	"bytes":  "binary",
+	"bytes": "binary",
 
-	"time.Time":                  "dateTime",
+	"time.Time":                  "date-time",
 	`time.Format ("2006-01-02")`: "date",
 
 	// TODO: if a format is more strict (e.g. using zeros instead of nines
 	// for fractional seconds), we could still use this as an approximation.
-	`time.Format ("2006-01-02T15:04:05.999999999Z07:00")`: "dateTime",
+	`time.Format ("2006-01-02T15:04:05.999999999Z07:00")`: "date-time",
 
 	// TODO:  password.
 }