This deliverable defines and exemplifies the structure for representing the learning scenario to the MaTHiSiS learners, namely the MaTHiSiS Learning Graphs (LGs). It further describes the library implementation that handles the creation, access and modification of the Learning Graphs, namely the LG lib, as well as the corresponding Open API implementation used to seamlessly access the features of LG lib throughout the MaTHiSiS platform. In conclusion, the deliverable presents the early front-end interface implementation on the MaTHiSiS platform, used to create, view, access and modify Learning Graphs.