The 6104/1G would be a literally stunning celestial, worth all the efforts to source. Here's the post of another member, who said 3 of these watches were made (I wasn't able to confirm this number today, but certainly possible):

Jun 28, 2020,20:04 PM
 

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Patek References in White Gold Bracelets

 
 By: @Patek_Ambassador : June 28th, 2020-01:13
I am smitten with my 5270/1R on the rose gold bracelet and I want to expand my collection to include a reference with a similar white gold bracelet. I’m aware that a world time was made on a G bracelet. What other references have the G bracelet?

In the current catalog, I believe your only option for a /1G reference is the 5740.

 
 By: FabR : June 28th, 2020-01:30
That’s obviously a great choice. As for WTs, the 5130/1G, which is now discontinued, seems accessible at a good value on the secondary market. But a really good option in this sense would be to source a 5131/1G, “same” watch but with enamel dial. It was p... 

Patek has made many references with a similar bracelet.

 
 By: DOCSF : June 28th, 2020-01:37
I can recall they made 5136/1G, 5146/1G, 5396/1G, 5127/1G. In addition to that they made a limited number of 6104/1Gs and a 5970/1G

5136/1G is a beautiful watch indeed

 
 By: DOCSF : June 29th, 2020-06:57
I saw one at the London Salon about one year ago.

That 6104/1G is special. [nt]

 
 By: @Patek_Ambassador : June 28th, 2020-13:47

...

 
 By: @Patek_Ambassador : June 28th, 2020-13:48
...  

My favorite is the 5120G

 
 By: watch-er : June 28th, 2020-09:15
Salmon dial on a white gold bracelet.

If you really look hard, you can find the 5120...

 
 By: mdg : June 28th, 2020-13:31
...with dauphine hands...this is my favorite version. 'Old-school' elegance : ) Essential Watches ...  

I iove White Gold Bracelets too. But it is rare

 
 By: anaroku : June 29th, 2020-20:04
5127 5146 I have 2 models but I want to get more ~~ such as 5107G/5396G ...