Eventually historical information on the bishops' acts and events in the Holy Roman Empire were added.
It is conventionally attributed the Anonymous of Halberstadt (Latin: Anonymus Halberstadensis).
He may even have been directed or supervised by Conrad, since his work reads like an apologia for the bishop's actions on crusade.
In the 19th century, Paul Riant took the part of this account beginning with the rubric "The Pilgrimage to Greece" to be a separate standalone work, which he titled De peregrinatione in Greciam et adventu reliqiuarum de Grecia libellus (Little Book on the Pilgrimage to Greece and the Arrival of Relics from Greece) in his edition.
[1] The Deeds survives only in two late manuscript copies, one from 1423 and another from the 17th century.