For those who don't have access to this standard. My copy is ANSI and dated 1979, the latest is ASME 1992. I can't imagine that the definition has changed but welcome any corrections if so.
[blue]ANSI Y14.2M-1979
3.5.1 Center lines. These are used to represent axes of symmetrical parts and features, bolt circles and paths of motion. See Figures 2 and 3. The long dashes of the center lines may very in length, depending upon the size of the drawing. Center lines should start and end with long dashes and should intersect by crossing the long or short dashes. Center lines should extend uniformly and distinctly a short distance beyond the object or feature of the drawing unless a longer extension is required for dimensioning or for some other purpose. they should not terminate at other lines of the drawing nor should they extend through the space between the views Very short center lines may be unbroken if no confusion results with other lines.[/blue]
The last sentence, in my opinion refers to the delineation of the center of a radial/cylindrical feature. This has been referred to here as the "center mark". The line convention used for center lines is thin. Thin line approximate width: 0.35mm/0.016" as opposed to the thick (visible line)which is approximately twice that of thin. These values are not for control of acceptance or cause for rejection of a drawing. They are for differentiation of line conventions.
This differentiation is witnessed when a hard copy of the spec is generated. Of course, compliant prints or plots are so rarely used correctly anymore that you don't necessarily see this. Most CAD packages do have this capability and others, but they are buried and unless this is something that you care about it is rarely set from the default correctly. There are those of you that do care, so I applaud you for employing this as a best practice, adhering to the standards as dictated.
In short the line convention of a center line is used to generate the termed "center mark" and it is a thin line.
Hope this post is beneficial.