Tennis scoreboards are fed by an operator or by an umpire's tablet, and both can be wrong. The authoritative score is the one on the chair umpire's card.
The card is a contemporaneous record
Chair umpires record each point as it is played, along with the server, the changeovers and any code violations. The card is completed continuously, not reconstructed later.
That continuity is what gives it standing. A record written as events occur is stronger evidence than a display that reflects whatever was last entered into a system.
Electronic scoring has largely replaced paper on the main tours, but the principle transferred intact. The umpire's entry is the record; the public display is a rendering of it.
How scoring errors happen at all
The commonest failure is a point awarded to the wrong player after a long rally, usually following a let, a challenge, or an interruption that broke the umpire's rhythm.
Players sometimes notice immediately and sometimes do not. A game can be completed on an incorrect score before anyone realizes, and the remedy then becomes complicated.
Serving order errors are the other frequent case. Once a game has begun with the wrong server, correcting it mid-game would disadvantage someone who did nothing wrong.
The rules for fixing it
Tennis handles correction with a general principle: points already played stand, and the error is corrected from the moment it is discovered rather than unwound.
If the wrong player served a game, that game's result stands and the order is corrected afterward. Replaying would create a worse injustice than the original mistake.
Where a point was awarded incorrectly and the error is caught before the next point begins, the score is simply corrected. The window is narrow by design.
What supervisors do
Disputes that a chair umpire cannot resolve go to a supervisor, who can be called to court by either player. The supervisor rules on procedure, not on line calls.
The distinction is strict. A supervisor can decide how a scoring error is remedied but cannot overturn a judgment about whether a ball was in.
Their ruling is final within the match. Appeals afterward concern conduct and sanctions rather than the score, which is closed when the match ends.
Why the record is closed so firmly
A tennis result has to be final immediately because the draw depends on it. The next round cannot be scheduled while an outcome remains open to revision.
This is unlike sports with a post-match correction window, where a statistical amendment does not disturb anything structural. In a knockout draw it would.
The card is therefore both the record and the closing of it. Once signed off, the match is a fixed entry and the tournament proceeds on that basis.

