After a long search and frustations, I found a solution for this. It should be an option in the Blog Module as an ON/OFF switch in the Elements section under Content. However, that is not possible at the moment, so here the CSS solution:
Under Blog Settings and then Advanced, one can add custom CSS. Add the following line in the contexts box:
display: none;
Tip: you can use it on all the boxes to hide specific parts of the blog element.