Democratic presidential candidates Hillary Clinton and Bernie Sanders shake hands as they greet the audience before a debate hosted by MSNBC at the University of New Hampshire on Thursday. (David Goldman/Associated Press)

Hillary Clinton’s remarkably narrow win over Bernie Sanders in the Iowa caucuses is now even narrower.

Nearly a week after the contest, the Iowa Democratic Party on Sunday announced revised results after finding “reporting errors” in several precincts. The Sanders campaign is continuing to push for a broader review.

Clinton’s share of the delegates awarded was revised slightly downward, to 49.84 percent, while Sanders’s total was bumped up to 49.59 percent. Former Maryland governor Martin O’Malley made a small gain as well, finishing with 0.54 percent.

The adjustments came after the party agreed to review the results in 14 of the state’s 1,681 precincts. Sam Lau, a spokesman for the party, which administers the caucuses, said those 14 precincts were identified by the Sanders and Clinton campaigns as potentially problematic.

Errors were found in five of the 14 precincts reviewed, while nine were correct, the party said.

Rania Batrice, a spokeswoman for Sanders’s Iowa campaign, said the 14 precincts included only those in which suspicions about the results were immediately apparent.

“There are definitely other discrepancies that haven’t been addressed,” Batrice said.

Sanders’s campaign is conducting its own precinct-by-precinct review and hopes to work with the state party to make other needed adjustments, she said.

“Iowans involved with all the campaigns worked really hard and deserve to have accurate results,” Batrice said.

It’s not clear that’s going to happen anytime soon, however. In a statement, the party said that other disputes will be taken up next month.

Under Iowa’s complicated caucus rules, Monday night’s voting was only the first of several steps in selecting delegates who will represent the state at the Democratic National Convention.

The next step will take place in March, when delegates at county conventions, allocated on the basis of Monday’s caucuses, elect delegates to district and state conventions, who then elect delegates to represent Iowa at the Democratic National Convention in Philadelphia.

“Following credentialing procedures, if there are disputes on the seating of specific county convention delegates, they will be taken up by the county convention credentialing committees,” the state party said in its statement Sunday.

Clinton, a former secretary of state, and Sanders, a senator from Vermont, will face off next on Tuesday in the New Hampshire primary.