Story of the Century

Story of the Century is a side quest in Fallout 4.

Detailed walkthrough
The quest will trigger after arriving at Diamond City for the first time and after finishing speaking with Piper and Mayor McDonough. Piper will suggest that the Sole Survivor visit her office at Publick Occurences for an interview.

The Sole Survivor can take Piper up on this offer by speaking to her inside Publick Occurrences and agreeing to the interview. The interview consists of four or five questions, depending on the answers given.

First, Piper will ask about the time inside Vault 111. Second, she will ask how the Commonwealth compares to Vault 111. Third, she will ask who the Sole Survivor is looking for (this is skipped if the Sole Survivor already told Mayor McDonough when they first arrived at Diamond City). Fourth, Piper asks if the Sole Survivor thinks the Institute is responsible. Finally, Piper asks what the Sole Survivor would say to someone who has lost a loved one but is too scared to look for them.

There are no right or wrong answers to Piper's questions. However, the answers given will influence the article which is printed in the paper the next day. Answering the questions will complete the quest and Piper will immediately become available as a companion.

Rewards

 * Piper as a companion.
 * Nat will give a copy of the paper with the interview to the player the following in-game day.

Bugs

 * If deciding to put off this quest until after rescuing Valentine, Piper will only give the option to be the Sole Survivor's follower, leaving the quest unable to be continued. To complete the quest at this point, the Sole Survivor will need to ask her to travel with them, then use the command menu to talk to her. This will initiate the interview to complete the quest.
 * At night, when going to Piper's office on the first visit to Diamond City, she may not be in her office. When you exit, the fight between two brothers about one being a synth will occur and Piper will be hiding in the bushes next to her office. She will not continue the quest. Fast traveling away seems to fix this.