If you report that something is trueaccording toa person, the newspapers, records, etc., you mean that the person, newspapers, etc. say that it is true.
According to reports, the ceasefire is holding.
According to Rogers, the real money has yet to be made.
As stated byandas stated inare also used, especially in academic writing, newspapers, and more formal spoken contexts.As stated inis used with a written source of information.
As stated by medical experts, these products are totally safe when used correctly.
Plans for expansion have been put on hold, as stated in the minutes.
If you want to say that the information may or may not be true, you can useas maintained byoras claimed bythe newspapers, etc.
There is no reason to change your diet, as maintained by some lifestyle experts.
So-called superfoods will not make you live longer, as claimed by some advertising.