Did St. Nicholas punch Arius at the Council of Nicaea?

Was Nikolaos of Myra (St. Nicholas) present at the Council of Nicaea and, if so, did he punch (or slap) Arius? This amusing factoid tends to crop up at this time of year and has a well-established place in Byzantine iconography, for example: [This blog post from 2015](http://www.roger-pearse.com/weblog/2015/02/28/did-st-nicholas-of-myra-santa-claus-punch-arius-at-the-council-of-nicaea/) and [this article from 2016](http://www.ncregister.com/blog/steven-greydanus/lets-stop-celebrating-st.-nicholas-punching-arius) dispute the historicity of this fact with fairly convincing arguments, including the fact that the first mentions of his presence are more than 500 years after Nicaea and the actual "punching" story is first recorded in the 14th century. The Teubner critical edition of the various lists of Nicaea attendees, [*Patrum nicaenorum nomina latine, graece, coptice, syriace, arabice, armeniace, sociata opera*](https://archive.org/details/bub_gb_p0OpPm3Ea6MC) seems to conclude that his name was only added to the list by influence of later biographies (such as of Symeon the Metaphrast), but that the earlier, more reliable manuscripts do not include him. So, **what is the evidence that St. Nicholas was at Nicaea and punched Arius?**