Correction to: Nature Communications https://doi.org/10.1038/s41467-017-01324-7, Article published online 31 October 2017

The original version of this Article was missing the ORCID ID of Professor Nicola Pugno.

Also in the original version of this Article, the third to last sentence of the fourth paragraph of the Results incorrectly read “However, the stepwise addition of CNTs increases the self-entanglement and thereby the compressive strength value as well as the Young’s modulus (up to 2.5 MPa (normalized by density 6.4) and 24.5 MPa (normalized by density 62 MPa cm3 g−1).” The correct version adds the units “MPa cm3 g−1” to “6.4”.

Finally, in the original version of this Article, the y-axis label of Fig. 3f incorrectly read “Comp. strengthy”. The new version corrects that to “Comp. Strength”.

These errors have now been corrected in both the PDF and the HTML versions of the Article.