/usr/include/zeitgeist-1.0/ is in libzeitgeist-dev 0.3.18-1.
This file is owned by root:root, with mode 0o755.
..
/usr/include/zeitgeist-1.0/zeitgeist-data-source-registry.h
/usr/include/zeitgeist-1.0/zeitgeist-data-source.h
/usr/include/zeitgeist-1.0/zeitgeist-enums.h
/usr/include/zeitgeist-1.0/zeitgeist-enumtypes.h
/usr/include/zeitgeist-1.0/zeitgeist-event.h
/usr/include/zeitgeist-1.0/zeitgeist-index.h
/usr/include/zeitgeist-1.0/zeitgeist-log.h
/usr/include/zeitgeist-1.0/zeitgeist-mimetypes.h
/usr/include/zeitgeist-1.0/zeitgeist-monitor.h
/usr/include/zeitgeist-1.0/zeitgeist-ontology-interpretations.h
/usr/include/zeitgeist-1.0/zeitgeist-ontology-manifestations.h
/usr/include/zeitgeist-1.0/zeitgeist-result-set.h
/usr/include/zeitgeist-1.0/zeitgeist-subject.h
/usr/include/zeitgeist-1.0/zeitgeist-symbols.h
/usr/include/zeitgeist-1.0/zeitgeist-timerange.h
/usr/include/zeitgeist-1.0/zeitgeist-timestamp.h
/usr/include/zeitgeist-1.0/zeitgeist.h