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What's bound to draw attention as the agreement's political ramifications come into focus: Clinton owns a piece of it. She helped the negotiations get started.

The Democratic presidential front-runner said President Barack Obama -- who tapped her as America's top diplomat in his first term in office -- called her late Monday night to tell her that negotiators had struck a deal: Iran will rein in its nuclear program and allow for close monitoring.

After a Tuesday morning meeting with House Democrats on Capitol Hill, Clinton tread carefully, saying she hadn't yet been brought up to date on the specifics of the agreement.

"Based on what I know now, and I will be being briefed as soon as I finish addressing you, this is an important step in putting the lid on Iran's nuclear program," she told reporters after that meeting.

After her comments and between Capitol Hill meetings on Tuesday, Clinton received that briefing. Secretary of State John Kerry, Energy Secretary Ernest Moniz and National Security Adviser Susan Rice briefed Clinton and other former secretaries of state and former national security advisers.

Clinton made reference to her role in the negotiations, saying she was "part of building the coalition that brought us to the point of this agreement."

Her top policy adviser, Jake Sullivan, sought to direct some credit toward his boss as well Tuesday morning at a breakfast hosted by the Christian Science Monitor, saying she was "centrally involved in the outset of all of this."

RELATED: Get up to speed on the Iran nuclear talks

Clinton explained her role in the negotiations in her memoir, "Hard Choices." She wrote that she began back-channel talks with Iran through the sultan of Oman, who had helped free American hikers imprisoned on espionage charges and suggested the nuclear talks.

She then had Sullivan, a top aide at the State Department, play a central role in getting the negotiations off the ground -- flying to Oman, meeting with Iranians and eventually leading to a September 2013 phone call in which Obama and Iranian President Hassan Rouhani agreed to formally pursue the negotiations.

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Hillary Clinton's State Dept legacy is tied to Iran deal ...