Born in Heilbad Heiligenstadt, Hebig comes from the Thuringian region of Eichsfeld.
During this time, Hebig was already involved in voluntary work for the preservation of floors and monuments.
He then became a research assistant at the Staatliche Archivverwaltung [de] (State Archive Administration) at the Ministry of the Interior of the GDR in Potsdam.
His last position there was chief editor of the journal Archivmitteilungen [de] for theory and practice of archiving.
There, he is head of the departments of conservation and damage restoration as well as protective packaging for cultural property.