As a result of 33 intercontinental Zoom calls, we characterise big Ramsey degrees of the generic partial order. This is an infinitary extension of the well known fact that finite partial orders endowed with linear extensions form a Ramsey class (this result was announced by Ne\v{s}et\v{r}il and R\"odl in 1984 with first published proof by Paoli, Trotter and Walker in 1985). Towards this, we refine earlier upper bounds obtained by Hubi\v{c}ka based on a new connection of big Ramsey degrees to the Carlson-Simpson theorem and we also introduce a new technique of giving lower bounds using an iterated application of the upper-bound theorem.

翻译：通过33次跨洲Zoom会议，我们刻画了泛偏序的大拉姆齐度。这是有限偏序赋予线性扩张构成拉姆齐类这一著名结论的无穷推广（该结果由Nešetřil和Rödl于1984年宣布，首篇正式证明由Paoli、Trotter和Walker于1985年发表）。为此，我们改进了Hubička基于大拉姆齐度与Carlson-Simpson定理新关联所获得的早期上界，并引入了一种通过迭代应用上界定理来给出下界的新技术。