Earlier we had attempts to apply Gini - social inequality - to Neolithic states. Here, Ukraine and Germany are looking into their potter(ies): diversity versus standards.
The maths here are Shannon. Enough pots have been dug out and (reasonably) dated that the paper can watch them change over time. In Germany, that's Linearbandkeramik LBK; in Ukraine, it's western Trypillia aka Region C (more on the Cucuteni side). The former ended ~5000 BC (soon after 5040 on the chart) and the latter featured almost a full millennium afterward, before declining itself. They skip, say, Achenheim and the arrival of the rodent.
Luckily they do use BCE (here-on, "BC") rather than "BP" which has always been a pain in my ... neck.
Start with LBK. This enjoyed a rise in social complexity
over the 5000s. As that happened, the ceramic styles proliferated. It would appear that the artisan behaved as an artist, such that his customers purchased accordingly. Also I recall that LBK towns were internally diverse, perhaps on a model like mediaeval Central Asia where herders might even speak different languages from the farmers, but more-or-less getting along in the market-place. At Vráble one group ended up walling itself off from the other(?) plebeians 5075 BC.
Trypillia was already important 4800 BC; the paper discusses the 4100-3600 BC half-millennium, because data fall away over the 3500s. There they at least got the ox which they could use for plowing rather than, one suspects, making women and serfs do it. At first, 4100-4000 BC, they had six local styles. Here social complexity led to the opposite of old LBK: ceramics were made standard, like in a factory. The paper marks the century 3950-3850 BC as a cultural, or political, era when locals' choices got limited. The paper says that the pottery, being simplified, would have been faster and cheaper to make. This - further - would have allowed for standard rations, and easier identification of foreign imports. These towns - cities really - might not have had cultural (or national) diversity, and if any did show up (like, a trader from Anatolia) the city leveled it.
The "megasites" like Maidanetske (region A, well to the east) were generally egalitarian, best they can tell, and given that some Gini did exist. Mind, those cities were abandoned and/or downsized 3750 BC (one ponders architectural disease mitigation). Smaller sites carried on that ideal before the 3500s BC general collapse. That was probably plague-driven. I don't think the cat had been domesticated; although the culture may have been aware of arsenic as a pest-control.