With the new theme on the Wikimedia blog, automatic summaries are generated from the first few sentences of the text. I assume this is done only when a summary hasn't been manually provided.
The idea of the summary is great. However, the automatic summary duplicates the text, and sometimes truncates it in the middle of a sentence, which looks unprofessional.
Even without duplication and truncation, simply extracting the first paragraph (whether manually or automatically) would not be a silver bullet for generating a summary. I believe the best way to address this issue would be to not display the summary unless it has been manually curated.