A few thoughts from me, for what they are worth.
Firstly, you are looking at a 105.003-64, which is a comparatively scarce reference. There was an interesting discussion here some time ago suggesting that at least some -64 cases had uniquely flat-sided lugs, and from these photos this case does appear to show that characteristic.
Going through it in the usual way:
The dial is unfortunately too out of focus to assess properly. That is really the heart of the watch, and without sharper images it is impossible to judge the actual surface condition. The lume plots either appear heavily degraded or potentially re-worked. What makes me lean slightly toward re-work is that the hands themselves look to have been repainted and re-lumed. Its just a feeling
At this price level, though, that alone would not make me dismiss the watch.
The bezel is a genuine DON, which is positive, although personally I think the market slightly over-romanticises heavily faded grey bezels. Condition-wise it is quite worn.
The crown is almost certainly later. It appears to be the later fat-logo type rather than the earlier narrow-logo crown. That said, later Ed Whites are often seen with 32-tooth service crowns, so this is very common territory.
The pushers are harder to call. They look a little unusual to me, but they are old, and may well be period/original.
The movement looks clean, but again the photography makes it difficult to assess with confidence.
The case has the flat sides, and from what I see of the case back the bevels are good. I am sure it has been polished to some extent as the sides are very clean.
Overall, my instinctive impression is that the watch has a slightly “put together” feel to it, although I want to stress that this is only an impression from imperfect photographs, not a definitive conclusion. It certainly is not an untouched watch.
Equally, at around $10k, you are not shopping in the category of untouched museum-quality Ed Whites. The reality with these is always balancing originality, condition, appearance and budget. Finding a genuinely attractive Ed White at that price point is not easy, and almost every example in that range will involve compromise somewhere.
For fun, here is a 105003 that came from original owner, never even opened (Its worth a fortune) :
And here one of my watches that is in the daily wearer category, similar value to what you are looking at. It has issues, as all at the 10k mark must have. You just have to work out if you like it.
Note the lume markers are definitely original. The pushers are NOS vintage replacements. It can be very hard to find an untouched watch at this price level, and if you do, you probably need to do work on it. Don't stop looking through - it's what we all love to do.
