On Friday Hamas named the hostages it would release as Sasha Troufanov, 29; Iair Horn, 46; and Sagui Dekel-Chen, 36, one of the few American citizens still held in Gaza. The Israeli government confirmed that Hamas had formally passed along the names of the three men.

The exchange, the sixth in a series of handovers laid out by the truce, is likely to extend the cease-fire for at least for a few more days, but its long-term future is unclear.

The arrangement, which began in late January, is set to expire in early March unless Israel and Hamas can agree to an extension. But those negotiations have stalled amid signs from Israel’s right-wing leaders that they would prefer to return to war to oust Hamas from power, after 16 months of fighting that has destroyed most of Gaza without defeating the group.

The truce teetered earlier this week after Hamas threatened to delay the hostage release because it said that Israel had violated the deal, including by not sending sufficient tents or any caravans and rubble-clearing equipment into Gaza.

Israel then said it would resume the war if Hamas did not relent, while President Trump raised the stakes by promising to unleash “all hell” if Hamas did not release all of the scores of hostages still held in Gaza. By Friday, both sides signaled that the dispute had been resolved, and Mr. Trump did not seem set to make good on his threat.

Here’s what else to know:

• Public opinion: The condition of the three hostages could shape Israeli discourse about whether to extend the cease-fire. Three men released last week appeared gaunt and malnourished after nearly 500 days in captivity, prompting horror in Israel and calls to prolong the cease-fire, even at the cost of keeping Hamas in power, to save all the other hostages still in captivity.

• Held in Gaza: The sides have agreed to release only 33 Israeli hostages before the deal needs to be extended. If the deal collapses at that point, roughly 60 hostages — many of whom are presumed dead — would remain in Gaza.