Dick Crum resigned yesterday as North Carolina football coach, ending two weeks of speculation over his status.

UNC officials in Chapel Hill said Crum will be paid an initial $400,000 and $100,000 per year over the four years left on his contract.

A statement by Crum, UNC Chancellor Chris Fordham and Athletic Director John Swofford said Crum was given the option to continue in the post in which he has a 10-year record of 72-41-3 (last four seasons: 5-5-1, 5-6, 7-4-1, 5-6).

"However," the statement said, "Coach Crum and the university have reluctantly determined that it is in Crum's best interest, the best interest of the players that he recruited, and the best interest of the university for him to submit and for the university to accept his resignation effective Jan. 31, 1988." . . .

North Carolina basketball player Steve Bucknall received a 30-day suspended sentence and teammate J.R. Reid was ordered to perform 100 hours of community service for their roles in an Oct. 24 fight in a Raleigh, N.C., nightclub. North Carolina State student Paul James Doherty suffered a nine-stitch cut near his eye.

Bucknall, a junior from London, paid a $25 fine and $40 court costs after pleading no contest to charges of assault with intent to inflict bodily harm. Reid, a sophomore, was charged with simple assault for, allegedly, spitting in Doherty's face before Bucknall hit Doherty with a fist.

Bucknall and Reid, according to testimony, have paid Doherty's medical expenses. Doherty has dropped a civil suit.

North Carolina Coach Dean Smith, who because of the incident suspended the two players from the season-opening Nov. 21 Tip-Off Classic against Syracuse in Springfield, Mass., said he disagreed with Reid's punishment.

"It's hard to conceive spitting as an assault," said Smith. "If that is true, I've been assaulted several times just walking from the dressing rooms to the court at N.C. State, even with FBI agents present." . . .

The Tar Heels, who defeated Syracuse in overtime, then won Richmond's Central Fidelity Classic, took over the No. 1 spot in the Associated Press' first regular season basketball poll. Syracuse, first in the preseason poll, dropped to third behind Kentucky . . .

John B. Slaughter, chancellor at Maryland's College Park campus, has been reelected chairman of the NCAA Presidents Commission without opposition.

Official announcement of the action by the reform-minded group of 44 college presidents and chancellors will be made in this week's NCAA News.

Sources said the Rev. Timothy J. Healy, Georgetown's president, has been elected to the Presidents Commission, to the seat held until January by the Rev. Edward Glynn, president of St. Peter's College.

Also, Sue Collins, an assistant athletic director at George Mason, has been nominated for January convention election to the NCAA Council . . .

President Reagan has invited the national champion Maryland women's field hockey team to the White House for honors at 2 p.m. Wednesday . . .

Southwest Conference officials reviewed Houston safety Randy Thornton's status for the Cougars' 60-40 football victory Nov. 7 over Texas and decided he was eligible for that game. He had been ruled ineligible for the 37-7 victory over Temple Nov. 14, for taking less than 12 hours of clases, and Houston had forfeited. Had the same applied to the previous week, Texas would have shared the SWC title with Cotton Bowl-bound Texas A&M.