I contacted the distributor and they sent out the correct part, which of course worked on the first try. I finally checked the markings and noticed that it did not match. I spent days trying to understand why the circuit was not working, trying several different firmware variations, but nothing worked. The part had the correct number of pins, so I did not suspect anything, so I mounted it on to the board. I once had a incorrectly bagged and labeled part delivered from a distributor. I have always wished for a complete list, but alas, some device manufactures do not even list their codes on the specification sheets. Although it is limited, there is a lot of good data here.

Datasheet: Now I'm trying to figure out what the 'FT' in the 'FT1' reference could stand for if the part is the above.This is a pretty good list. Looking at the circuit around may help figuring if it could at least stand a chance of being this single-gate (from its pin-out). Found the datasheet, and they come in SC-70-5 package, with FA marking, and the J being the lot number (possible values: A to Z), which is why it's marked at 90° probably. It's a single-gate inverter with Schmitt trigger input. The best candidate so far appears to be what flolic pointed to above: ELM7SH14TB Schmitt Inverter (vendor: ELM technology). The datasheet shows this same LDO exists in SC70/SC88 package, so it could have been, but with completely different markings. The LDO I pointed to was the only one I found with a 'FAJ' marking, but I got ahold of its datasheet, and only the SOT23-5 package has a FAJ marking. The sizes mentioned above shall be the nominal ones. Also please account for manufacturing tolerance of couple tenths of milimeter, with these devices.

EDIT: There is indeed a metric crap ton of SOT23-5 devices sized exactly as SOT23. If not enough confusion already, I think there is even smaller variant of all those, the SOT416 (1.6mm wide body). SC88 is I think a 5pin variant of SC70, and SOT363 is sometimes what a 6pin SC70 is called as. SC70 (2mm wide body also called SOT323) is the smaller brother of SOT23 (3mm wide body). Do not confuse SOT143 (3mm) with SOT343, that is the smaller brother of it (2mm wide body). 4 pin variant of SOT23 exists too, but it is called SOT143 and one of the leads is wider. The plastic body is still the same size (3mm wide). SOT23 is always SOT23 size, and there are 3, 5, 6 and even 8 pin variant of it.

It is not that useful, especially when you know it is not true.

Smd components identification pdf