There are 2 different types of hoses, one type is is the preformed bent hoses which Yanmar supplies if original, they are painted gray.
Meh ............ maybe it's your English or maybe it's my comprehension but one of them is kaput.
The original hoses on the engine are covered with grey engine paint:
All replacent hoses are all bare black rubber.
the other hoses are just marine grade reinforced exhaust/water hoses, there wouldn't be a part number for them.
Ahhhhhhh .... it's killing me to disagree with you but every scrap of rubber hose on a Yanmar engine has a part number and can be had from Yanmar at five times the cost compared to top of the line auto radiator hose sold by the foot.
Note that parts #2 and #5 are just straight auto rad hose, #2 is 1/2" ID and #5 I have no idea. Other hoses are custom Yanmar hoses. Everybody still has their own little part number and a price that will knock your socks off.
I don't know if this next idea is such a good one as the OP seems reluctant to order hose for his engine without a written list of hose sizes from someone else.
When I replaced mine, I looked at the hoses and saw that only about three or four hoses were custom made. I bought these from Yanmar otherwise it just wasn't going to work without collapsing the hose. Every thing else was bought by diameter and rough length (+ a few extra inches) as auto rad hoses. Part No. 6 was about $75.00 IIRC. I still can't get that number out of my mind for that short little piece of hose.
Why not order all of the custom hoses first from Yanmar first ? Then go after the straight pieces from your nearest auto parts supplier. If need be, label the straight pieces of hose and then pull them off the engine and go to the supplier and order the required material.
You're making a mountain out of a mole-hill on replacing these hoses. This was probably the easiest job I have ever done on the engine and you're going to feel the same way when finished. Slow and boring but definitely not hard.