TempLS showed changed very little from April to May. GISS showed a rise, from 0.55 °C to 0.65 °C. GISS has been rising steadily, while other indices that showed bigger rises in March/April have paused. Time series graphs are shown here
In other news, you should check that link for the Arctic ice changes over the last week. Ice was holding up well, but has dived to a record low for this time.
As usual, I compared the previously posted TempLS distribution to the GISS plot.
Here is GISS:
And here is the previous TempLS spherical harmonics plot:
More data and plots