...provide the scientific evidence that refutes it...
As requested, I'll post one of the journals that was used as a source for the xkcd comic, Apologies for copying my response from elsewhere in thread:
Yeah, I know from my title alone everybody is queuing up articles refuting the common stupidity people invoke to make that claim.
Allow me to pre-empt that be exclusively referring to Michael Mann's(of the original hockey stick fame) own follow up work and very quickly presenting his own findings in his own words. Having laid that out, let me point out the uncertainties.
Following up his original much publicized 'hockey stick' article, Mann released the following paper in 2008. He basically extended his idea against more data and exploring additional methods of analysis as you would expect. On calibrating and assessing the results of his old and new methods against an expanded data set he notes:
The CPS and EIV methods (Dataset S2 and Dataset S3) are both observed to yield reconstructions that, in general, agree with the withheld segment of the instrumental record within estimated uncertainties based on both the early (1850–1949) calibration/late (1950–1995) validation and late (1896–1995) calibration/early (1850–1895) validation. However, in the case of the early calibration/late validation CPS reconstruction with the full screened network (Fig. 2A), we observed evidence for a systematic bias in the underestimation of recent warming. This bias increases for earlier centuries where the reconstruction is based on increasingly sparse networks of proxy data. In this case, the observed warming rises above the error bounds of the estimates during the 1980s decade, consistent with the known “divergence problem”
And on looking specifically at his new "EIV" method:
Interestingly, although the elimination of all tree-ring data from the proxy dataset yields a substantially smaller divergence bias, it does not eliminate the problem altogether (Fig. 2B). This latter finding suggests that the divergence problem is not limited purely to tree-ring data, but instead may extend to other proxy records. Interestingly, the problem is greatly diminished (although not absent—particularly in the older networks where a decline is observed after 1980) with the EIV method, whether or not tree-ring data are used (Fig. 2 C and D). We interpret this finding as consistent with the ability of the EIV approach to make use of nonlocal and non-temperature-related proxy information
And I'm not sure how to insert a graphic here, but if I may summarize he later has a graph of the the new, old and other peer reviewed temperature reconstructions all put together. It's in Fig 3 of the link above, so don't trust my interpretation and go ahead and verify for yourself. The graph has 2 interesting aspects I want to highlight.
1. The EIV temperature reconstruction that Mann acknowledges above as superior, has by far the highest peak temperatures in reconstruction, exceeding 4 or 5 times in the past even the highest reconstructed temperatures since 1900.
2. The Instrumental record is tacked onto the end of the graph, as in Mann's previous work, in order to create the same hockey stick in the same way as before. As in, the hockey stick does NOT exist within the reconstructed temperatures, but in the combination of attaching the instrumental onto the reconstructed.
Alright, 100% of what I have above is either Mann's own words or direct observation of the graph he published. From this a few key conclusions that seem extremely straight forward and I'd love if someone could approach them honestly for me if you see anything I've got badly incorrect.
Start my own observation:
1. The known "divergence problem" is acknowledged by Mann, in that calibrating reconstruction methods to early times, and trying to recreate current warming fails and has a divergence problem. One of the things this could indicate is that either the data or methods are insensitive to signals like the current warming and thus would not recreate them even if they did occur historically.
2. Trimming the data to the 'better' data doesn't eliminate the problem, but the newer EIV method at least shows considerable improvement.
3. None of the reconstructions reconstruct current warming that is as warm as historic warming from the EIV method.
These observations together lead me to the conclusion that there remains a tremendous amount of uncertainty in the reconstructions of historic temperature. More over, I am left with the very strong impression that attaching the visual of the instrumental record on the end of the graph badly undermines the overall science of the reconstructions and only serves to highlight their inability to recreate it. The only positive reason to append it is public opinion because it looks scary. This IMO is dishonest, lazy and a fast path to public distrust of scientists which we can ill afford.
That all is to say that the underlying "science" of an historically unprecedented current warming is not nearly so dramatic as presented.