Brazilian striker Neymar marked his return from a rib injury with the hosts' fourth goal just before half-time, ultimately scoring a hat-trick with two more second-half goals as French team Dijon were mercilessly ripped apart.
Kylian Mbappe piled on further misery for the visitors 13 minutes from time before Neymar notched his fourth of the evening from the penalty spot, denying Cavani the chance to make club history and eliciting whistles from home supporters.
"(Cavani) is our goalscorer and he's improved a lot here; the team helped him to achieve this individual mark," said Paris Saint-Germain (PSG) coach Unai Emery, who was quick to defend Neymar's decision to take the spot-kick.
"I think Neymar took the penalty because it was also a good day for him. We're happy with it, but there will be lots more chances for Cavani to score more goals."
Argentine Di Maria, who grabbed the winner in Sunday's 1-0 victory at Nantes, needed just four minutes in Paris to put the home team ahead with a stunning left-footed strike into the top corner.
The former Real Madrid and Manchester United winger added a second when he applied the final touch after Neymar lifted the ball over Dijon goalkeeper Baptiste Reynet following a ball through from Cavani.
The Uruguayan then netted his league-best 20th goal of the season by heading in a right-wing cross from Di Maria, pulling level with the record Ibrahimovic set across four seasons in the French capital.
Neymar made it 4-0 on 42 minutes with a sublime free-kick, with the world's most expensive player pouncing on a miscued clearance to double his tally just before the hour.
He then struck a sensational third goal of the night with a run that beat several Dijon defenders and culminated in a crisp low drive from the edge of the area.
Neymar released Mbappe as the teenager scored within five minutes of replacing Di Maria, while the Brazilian rounded out a record home win for PSG from the spot after Cavani tumbled to the ground.
"It was a very, very good PSG against a Dijon side that unfortunately didn't put up much resistance. We were almost perfect today," PSG defender Thomas Meunier told Canal+.