Figure from Messerli (2012) Chocolate Consumption, Cognitive Function, and Nobel Laureates, New England Journal of Medicine.
Potential list of readings under additional p-value treatment

• Redefine statistical significance
  71 Al. and Valen E. Johnson PsyArXiv Preprints, 2017
  Appearing in nature human behaviour
  with Correspondence by Valentin Amrhein and Sander Greenland in Remove, rather than redefine, statistical significance
  and reponses by another large number of authors (Including D. Mayo) in
  Justify Your Alpha: A Response to Redefine Statistical Significance
  plus
  Why “Redefining Statistical Significance” Will Not Improve Reproducibility and Could Make the Replication Crisis Worse
  by Harry Crane, PsyArXiv, 2017
  and Abandon Statistical Significance
  by Blakeley B. McShane, David Gal, Andrew Gelman, Christian Robert and Jennifer L. Tackett
  with related discussions on Gelman’s blog Abandon Statistical Significance
  Alan Sokals comments on Abandon Statistical Significance
  Response to some comments on Abandon Statistical Significance
   
• Revised standards for statistical evidence
  Valen E. Johnson
  PNAS, 2013
  
• The Reproducibility Of Research And The Misinterpretation Of P Values
  David Colquhoun
  bioRxiv preprint, 2017
  
• An investigation of the false discovery rate and the misinterpretation of p-values
  Royal Society Open Science, 2014
  
• A megateam of reproducibility-minded scientists look to lowering the p-value
  A related blog post by D. Mayo
  
• Deconstructing ``A World Beyond P-values
  Following the ASA statement follow up Symposium in October 2017 and with additional related blog posts by D. Mayo
  
• “These People Are Trying To Fix A Huge Problem In Science”
  RSS twitter

Additional literature related to p-values The same theme from the perspective of confidence intervals

• The fallacy of placing confidence in confidence intervals
  Morey et al.
  Psychonomic Bulletin & Review. 2016 A paper highlighting the limitation of confidence intervals, which are often (mistakenly) considered as a solution to the p-values shortcomings

On the reporting of non-significant p-values in the medical literature

• The immportance of beta, the type II error and sample size in the design and interpretation of the randomized control trial
  Jennie A. Freiman, Thomas C. Chalmers, Harry Smith Jr. and Roy R. Kuebler
  N Engl J Med 1978;
  
• Statistical Power, Sample Size, and Their Reporting in Randomized Controlled Trials
  David Moher; Corinne S. Dulberg and George A. Wells
  JAMA. 1994
  
• Claims of Equivalence in Medical Research: Are They Supported by the Evidence?
  William L. Greene; John Concato and Alvan R. Feinstein
  Ann Intern Med. 2000
  
• Survey of claims of no effect in abstracts of Cochrane reviews
  Phil Alderson and Iain Chalmers
  BMJ 2003