Bean Validation and Hibernate Validator
The Hibernate Validator is the reference implementation of the Bean Validation 1.1 specification.
Check the Maven Repository, for example, and you'll realize the hibernate-validator artifact does include the validation-api artifact as a dependency.
Bean Validation and Java EE 7 API
The Bean Validation is defined in the javax.validation package and sub-packages.
The Java EE 7 is an umbrella specification and, among other specifications, it includes the Bean Validation 1.1 specification.
It means the javaee-api artifact includes the javax.validation package and sub-packages. However, no implementation for the Bean Validation is provided as dependency of that artifact.
In the other hand, some containers, such as WildFly and GlassFish, provide the Hibernate Validator dependency (or any other Bean Validation implementation) to be compliant with the Java EE 7 specification. In this situation, if you want to use something specific from the Hibernate Validator (that is, something from the org.hibernate.validator package or sub-packages), you need to add the hibernate-validator dependency with the provided scope.
Otherwise, if you won't use anything specific from the Hibernate Validator, the javaee-api dependency should be just fine.