the word "record" may be broader than this German term, but the purpose and effect behind it - memorializing evidence - is the same.
There are multiple definitions - click on the translation that matches your context.
something that is evidence of the past, especially something that is written down or kept in some other permanent form
They will now have you on their records.
the total of a person or an institution's past achievements
The car meets or exceeds all safety standards and has an excellent safety record.