ClassNotFoundException is thrown when deploying an application that uses Jackson annotations to JBoss EAP 6.0

Issue

Our application uses Jackson core ASL annotations and in development mode we added the following dependency:

<dependency>
    <groupId>org.codehaus.jackson</groupId>
    <artifactId>jackson-core-asl</artifactId>
    <version>1.9.2-redhat-1</version>
    <scope>provided</scope>
</dependency>

When we deploy this application to JBoss EAP 6.x, however, we have a ClassNotFoundError as below:

Caused by: java.lang.ClassNotFoundException: org.codehaus.jackson.JsonGenerationException from [Module "deployment.your-deployment.jar:main" from Service Module Loader]
    at org.jboss.modules.ModuleClassLoader.findClass(ModuleClassLoader.java:190)
    at org.jboss.modules.ConcurrentClassLoader.performLoadClassUnchecked(ConcurrentClassLoader.java:468)
    at org.jboss.modules.ConcurrentClassLoader.performLoadClassChecked(ConcurrentClassLoader.java:456)
    at org.jboss.modules.ConcurrentClassLoader.performLoadClass(ConcurrentClassLoader.java:398)
    at org.jboss.modules.ConcurrentClassLoader.loadClass(ConcurrentClassLoader.java:120)

How can we solve this?