Since the core measures are what the Fed focuses mainly on as a base for projecting FUTURE inflation.
As for which core PPI measure, since the BLS highlights the one below in its reporting (as opposed to the one without food and energy), then I guess I should do likewise.
https://www.bls.gov/news.release/ppi.nr0.htm
BLS Data Series CORE PPI (excluding food, energy, trade services): http://data.bls.gov/timeseries/WPSFD49116

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BLS Data Series Regular PPI ( includes "everything" ): http://data.bls.gov/timeseries/WPSFD4
Sorry no graphs from me on this one, but the above link has graphs. Choose "More Formatting Options", and check the one month and three month and whetever else you want to check.
Here is the rolling 3 month average for the last 13 months (March 2023 thru March 2024),
NOT ANNUALIZED, so these are 3 month percent changes
I double-dashed the negative ones so they stick out more
0.0, --0.2, --0.4, 0.0, 0.3, 1.2, 1.4, 0.5, --0.1, --0.3, 0.3, 0.8, 1.1
To annualize (roughly), multiply by 4. So the last data point annualized is 1.1% * 4 = 4.4%
More accurately (using the actual index values and annualizing the correct way), it comes to 4.37%
so that's the last 3 months annualized
Edited to Add: a link to the LBN posting on this story, which made it to the Left Column:
https://www.democraticunderground.com/10143223987
It's not a pretty picture.