Hi. I'm not sure what you were trying to say in your edit summaries for Fay Ray and Number Segments, but EKA means that it's a sketch's earliest appearance that is known. If we're going to say that a particular sketch is known to have definitively appeared first in a given episode, we need to provide a source. Not all Sesame Street episodes have guides yet, and we could still potentially find an earlier appearance... hence the EKA tag.
But in subsequent appearances after Episode 4000, the label for the Wegman's dogs #1 film with Batty and Crooky (e.g.:episodes such as 4013 and 4064) are labeled first same with the number segments like the #4 flower segment from Episode 4034 is labeled first in the segment airing in Episode 4047.