Hostages are at the heart of the fragile cease-fire between Israel and Hamas, now in its fifth day. As of Monday night, 50 Israeli hostages had been released, as had 150 Palestinian prisoners. More releases were expected on Tuesday, under what Qatari mediators said was a deal to extend the cease-fire by two days.Isabel Kershner, a Jerusalem-based reporter for The New York Times, explains how a grass-roots movement managed to pause the war, and what it will mean for the rest of the conflict.Guest: Isabel Kershner, who covers Israeli and Palestinian politics and society for The New York Times.Background reading: The extension of the cease-fire, and another exchange of hostages and prisoners, raised hopes that more people would be set free and more humanitarian aid would reach people in the Gaza Strip.Here are the latest updates from Israel and Gaza.For more information on today’s episode, visit nytimes.com/thedaily. Transcripts of each episode will be made available by the next workday.