Here’s what you need to know:
• Britain on highest alert level.
Prime Minister Theresa May has deployed the military to assist the police amid fears of another terrorist attack after the bombing in Manchester on Monday that killed 22 people, including children.
The assailant, who died in the attack, was identified as Salman Abedi, a Briton of Libyan descent, who according to a French official is believed to have traveled to Syria. Officials did not comment on a claim of responsibility from the Islamic State.
We have a map showing how the assault at a pop concert unfolded, and explain the dangers that “soft targets” present.
And our music critics describe what Ariana Grande, the performer at Monday’s event, means to her young female fans. “It was meant to be a dream, not a nightmare,” one survivor said.
• Trump visits the Vatican.
Pope Francis welcomed President Trump today, the first face-to-face meeting of the two leaders, who have starkly different views of the world. Follow our live briefing for the day’s latest updates.
The president arrived in Italy after a 28-hour visit to Israel, where he expressed hope — if few specifics — for a deal with the Palestinians.
Mr. Trump is counting on Saudi Arabia, his first stop on this trip, to help bring peace to the region.
• For G.O.P., budget is a start.
Congressional Republicans greeted President Trump’s first full budget on Tuesday with hesitation and sometimes hostility, but it was not clear that they could come up with an alternative.
We took a detailed look at how the $4.1 trillion plan would affect each part of government over 10 years.
The proposal, which factors in the benefits of cutting taxes but not the cost, is based on an assumption that tax cuts create economic growth. Economists say history suggests otherwise.
• Ex-C.I.A. chief testifies.
John Brennan, who left the agency in January, told a congressional committee about how American authorities had realized that the presidential election was under attack, and their fears that the Trump campaign might be involved.
Mr. Brennan acknowledged that he did not know whether the Trump campaign had colluded with Russian operatives. We analyzed Tuesday’s testimony as it unfolded.
Also on Tuesday, Fox News retracted a story linking the murder of a Democratic National Committee staff member with the email breach that aided Mr. Trump’s campaign, effectively quashing a conspiracy theory that had taken hold in the right-wing news media.
• Arts center gets a boost.
Michael Bloomberg has given $75 million to the Shed, an arts center under construction on the Far West Side of New York City.
The former mayor’s donation helps to solidify the city’s first new cultural institution in years.
• “The Daily,” your audio news report.
Twenty minutes a day, five days a week, hosted by Michael Barbaro and powered by New York Times journalism.
Listen on a computer, an iOS device or an Android device.
• Target will pay $18.5 million as part of a settlement with state attorneys general over a security breach that compromised millions of customers’ data.
• Uber said on Tuesday that it had been miscalculating the commissions of its New York drivers in a way that cost them tens of millions of dollars. It promised to correct the practice.
• In Utah, a 3.1 percent jobless rate has helped to drive up wages, and the biggest problem is no longer lack of work, but a lack of people to do it.
• U.S. stocks were up on Tuesday. Here’s a snapshot of global markets.
• Pediatricians advise against giving fruit juice to children younger than one.
• There is nothing regrettable about having regrets.
• Recipe of the day: Skip delivery — make pizza margherita at home.
• Inside a frozen mountain.
In today’s 360 video, visit the Svalbard Global Seed Vault in Norway, which seeks to safeguard the world’s most important crops.
• Jared Kushner’s other real estate empire.
Baltimore-area renters complained about a property owner they called neglectful and litigious. Few knew their landlord was the president’s son-in-law.
• Nobody did Bond better.
Roger Moore, who played the secret agent James Bond seven times in the 1970s and ’80s, died on Tuesday at 89.
Our chief film critic argues that his blithe efficiency in the role was the truest expression of the 007 ideal. Baby boomers and millennials may disagree.
• Need a break?
T Magazine looks at food photography over the years.
• Best of late-night TV.
Stephen Colbert encouraged President Trump to take up a hobby other than Twitter: “Please give up this harmful addiction and find another coping mechanism.”
President Trump’s meeting today with Pope Francis continues a tradition of American presidents meeting the leader of the Roman Catholic Church, regardless of political differences.
Every U.S. leader since Dwight Eisenhower has met with a pope. George W. Bush had six such meetings (with John Paul II and Benedict XVI), and Barack Obama three.
The first sitting American president to meet a pope was Woodrow Wilson, nearly a century ago.
The meeting, with Benedict XV on Jan. 4, 1919, came as the president toured Europe after the end of World War I.
The Times put the meeting on its front page.
“The thousands gathered along the streets cheered and waved their hats when the automobile passed,” the report from Rome read, describing Wilson’s cortege. “A continuous shower of flowers fell upon the President, while cries of ‘Viva America!’ rose above the tumult.”
The two leaders conferred for about 20 minutes. Then, from a window overlooking St. Peter’s Square, Wilson waved his hat to greet the “mass of cheering people.”
Patrick Boehler contributed reporting.
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