EOY 2025 is in the past already, but arXiv has an approval process that delays publication.

https://manifold.markets/IsaacKing/will-marcus-hutter-win-his-10000-be#zxxjcx74l2p

, we should know for sure by Jan 5th 01:00 UTC (it is plausible this process is delayed or backlogged, and if so the close date of this market will be extended as appropriate)

arXiv lists submission times for each paper, and the time must be prior to the new year in UTC-12 (i.e. anywhere on earth)

The paper must list David Budden as an author and must address the The Navier–Stokes existence and smoothness problem, but it does not have to contain a valid proof etc.