In this dataset, we compile published records of seawater pH and atmospheric CO2 from foraminiferal δ11B are re-calculated using our current constrains and processing scenarios for the Eocene, for consistency to the new data. The re-calculation includes no vital effect treatment (for T. sac like species of planktonic foraminifera the offset in d11B at Eocene d11Bsw conditions is smaller than analytical uncertainty), no pH correction on Mg/Ca-temperature relationship (T. sac like species) and incorporating MyAMI for carbonate system calculations (https://github.com/MathisHain/MyAMI).

Note that for this processing, no vital effect corrections are applied, and temperature is based on Mg/Ca or δ18Ο measurements in the respective references, treated the same way as for the rest of the time series in this paper.