As far as I can see there are none. There is nothing on the forum, and Google doesn't find anything either. My guess therefore would be that it is unpublished data that they are talking about.
"We have determined" isn't exactly precise language - does it mean in vivo research carried out by OMF itself, or does it mean OMF researchers have carried out systemic studies of previously published work ?
I'm not encouraged by a following sentence which seems to indicate a lack of scientific objectivity: "If we are successful, we will show that ME/CFS and Long Covid have a common underlying disease mechanism that includes deficiency of BH4." A negative finding would be just as scientifically valid.
Search on BH4 & ME & CFS on Google Scholar gives these (first two pages only):
1.
[PDF] The NO/ONOO-vicious cycle mechanism as the cause of chronic fatigue syndrome/myalgic encephalomyelitis
ML Pall - Hauppauge (NY): Nova Science Publishers, 2009 - researchgate.net
… in the de novo pathway for the synthesis of BH4. Thus high dose IV ascorbate will be expected to increase the availability of BH4 by stimulating its synthesis via the de novo pathway. …
2.
Myalgic encephalomyelitis/chronic fatigue syndrome: the human herpesviruses are back!
ME Ariza - Biomolecules, 2021 - mdpi.com
… synthesis of tetrahydropterin (BH4), a substrate required for serotonin and dopamine synthesis by … down-regulated key genes involved with dopamine and serotonin synthesis as well as …
3.
Marginal BH4 deficiencies, iNOS, and self-perpetuating oxidative stress in post-acute sequelae of Covid-19
WA Villaume - Medical Hypotheses, 2022 - Elsevier
… of other syndromes such as myalgic encephalomyelitis/chronic fatigue syndrome (ME/CFS), … mutations of GCH1 and related genes lead to marginal deficiencies of BH4 that are typically …
4.
Nitric oxide synthase partial uncoupling as a key switching mechanism for the NO/ONOO–cycle
ML Pall - Medical hypotheses, 2007 - Elsevier
… cases of illnesses including chronic fatigue syndrome, multiple … The combination of high NOS activity and BH4 depletion will … and there is evidence that genetic predisposition plays an …
All looks pretty speculative with no obvious line of priority to research.
Edit: 2. above discussed here:
https://www.s4me.info/threads/artic...uman-herpesviruses-are-back-2021-ariza.18888/