ZurichThe proof came together right before Christmas 2025.
The result affects no one directly, closing a gap simulations could not.
The same critical point governs water through rock, disease through networks and power-grid cascades.
The proof covers one broad graph class, leaving other network families unproven.
How each outlet framed it
- Quanta Magazine leans favorable
- narrates the emotional breakthrough moment: mathematicians working through holidays, the 'almost didn't believe it' realization
Sources: Quanta Magazine