[piva00]

Which are awarded in name of the Nobel Prizes as you can check in their official website [1].

Nobel Prizes are awarded by different institutions [2].

There's nothing else to be precise about, you are being pedantic.

[1] https://www.nobelprize.org/prizes/lists/all-nobel-prizes/

[2] https://www.nobelprize.org/the-nobel-prize-organisation/priz...