re: http://json-schema.org/draft-06/json-schema-release-notes.html#q-what-happened-to-draft-05
schema.json correctly references Draft-04 in its $schema property, but the spec's Data Types section says that they're based on JSON Schema Specification Wright Draft 00. The JSON Schema org specifically advises not to implement or advertise support for this draft.
If OpenAPI doesn't use anything specific from Draft-05, I would suggest amending the spec to just refer to Draft-04 and bring it in-line with the use from the published schema.
Related to #1032.