10K time VdotO2 %larger than VdotO2 @ 37 min 10K
37:00.0 52.26
36:55.0 52.4 0.27
36:50.0 52.55 0.55
36:45.0 52.69 0.82
36:40.0 52.84 1.11
36:35.0 52.99 1.40
36:30.0 53.14 1.68
36.25.0 53.29 1.97
I don't know if that's 100g in total shoe or per shoe. Let's say its total shoe. This means the difference in wearing say Asics Piranhas (122g) v. Saucony Kinvara (224g) is about 200g or 2% VdotO2 or about 35s over 10K assuming all else equal of course (like how much muscle work is being used to dampen impact forces). Thats about 1s/mile/oz/shoe. If its 1% per 100g per shoe then the difference would be only 17s. That's significant enough to me to wear Asics Piranhas (I do) or the Inov8 155s (I do that to). This doesn't mean I would advise you to wear Asics Piranhas or Inov8 155s for a marathon because I'm guessing there would be variables other than weight (and having to do with dampening of impact forces) that would affect performance.
OK what about socks. Its hard to find the weight of socks but a pair of swiftwick aspire zeros weighs 23g for the pair. That's about an expected 0.23% difference in performance, or something just less than 5s according to the chart above. That's not very much and probably not worth the consideration. But then maybe you wear a heavier sock?
What about a pair of "performance enhancing compression socks"? I can't find how much these weigh. Plus the penalty in VdotO2 won't be exactly correct because lots of that weight is closer to the center of rotation. And then I'm not sure about the "everything else equal" assumption with compression socks since they are at least advertised to enhance performance because of the compression.
PS - well I just googled around and found the source. Confirms what I've written and fills in some unknowns as well.