I've had conversations with several tone arm manufacturers; they seem to agree that there is no standard for anti-skate forces to be applied to an arm. Put another way they all seem to have different ideas about it.
Thats not surprising to me because we are dealing with varying groove modulations from the first track to the last.
I own two pivot tonearms. Anti-skate is a guess.
To be correct therefore pivoted arms need a different anti skate setting for 33 and 45 RPM records and even different positions along the record.
The best explanation I have personally read that describes this phenomena is from someone that actually tested pivot arms and antiskating. From the Eminent Technology ET2 manual. Page 46
"Antiskating and Frequency Modulation Distortion of Different Tonearm Geometric
Pivoted tonearms are designed so that the head shell holds the cartridge at an offset angle with respect to an imaginary line drawn through the tonearm pivot to the stylus tip. The arc traced by the stylus tip extends past the record center and is defined as overhang.
This design approach minimizes tracking error. There have been many articles written about the geometry of this design approach. Pivoted arms create several side effects which reduce phono cartridge performance. The first is a skating force which results from two different parts of pivoted arm design.
There is a force component (vector) that is directed toward the center of the record. It results from the stylus drag force vector not falling in line with the pivot point of the arm. This force pulls the tonearm inward and the stylus can be observed as bending outward. This force and the resulting bending can be demonstrated by connecting a rubber band to a pivoted arm around the cartridge body and pulling it straight (away) from the tonearm. Note: the motion of the tonearm is inward and results in bending of the rubber band (cantilever).
If you corrected these forces with an anti-skating mechanism such that the stylus did not bend (you can not really do this because the frictional force and resultant bending varies with groove modulation, stylus shape, tracking force, etc...) there still exists another component of skating.
This second skating force results because of overhang. There are frictional force vectors that result which are not directly ahead of the stylus. The surface of the record is not really moving straight ahead with respect to the stylus tip. As a result, there are force components directed ahead and toward the center of the record. The magnitude of the inward force depends upon the degree of overhang. "