Our latest study using the Neptune database is out as a preprint. Long story short: we tried to replicate past estimates of global sedimentation rates during the Cenozoic and noticed biases that went previously ignored and tried to correct them. egusphere.copernicus.org/preprints/20...

Cenozoic pelagic accumulation rates and biased sampling of the deep sea record

Abstract. Global weathering is a primary control of the earth's climate over geologic time scales: converting atmospheric pCO2 into dissolved bicarbonate; with carbon sequestration by marine plankton ...

The result seems more congruent with model expectations (i.e. instead of a sharp increase, a mostly stable history, with a slightly decreasing trend).