Science Advances

Supplementary Materials

This PDF file includes:

  • section S1. Data sets
  • section S2. Dμ and Dθ distributions
  • section S3. Alternative measures of Dθ produce equivalent results
  • section S4. Simple null model of referencing with respect to the age of a publication or patent
  • section S5. Demonstration case
  • section S6. Robustness checks for alternative measures of being a hit beyond the top 5% (top 1, 10, 25, and 50%) for papers
  • section S7. Further robustness checks
  • section S8. Standardized coefficients of papers
  • section S9. Regression analyses of patents
  • section S10. Predicting referencing in the hotspot
  • section S11. BIC statistics for supplemental regression analyses
  • fig. S1. Reference age distributions.
  • fig. S2. Switching references in the null model.
  • fig. S3. Expected and observed distributions of reference age distributions.
  • table S1. Alternative measures of Dθ produce consistent results.
  • table S2. Demonstration case of search and impact.
  • table S3. Probability of being in the top 1% of citations for papers.
  • table S4. Probability of being in the top 10% of citations for papers.
  • table S5. The probability of being in the top 25% of citations for papers.
  • table S6. The probability of being in the top 50% of citations for papers.
  • table S7. The probability of being a sleeping beauty paper at different levels of citations.
  • table S8. Fixed-effects ordinary least squares regression estimating the relationship between Dμ and Dθ and the citations acquired in the first 8 years after publication and for all citations over a paper’s lifetime.
  • table S9. Approximate PageRank analysis.
  • table S10. Standardized coefficients of the probability of being in the top 5% of papers.
  • table S11. Probability of being in the top 5% of citations for patents.
  • table S12. Probability of being in the top 1% of citations for patents.
  • table S13. Probability of a paper referencing work in the knowledge hotspot for coauthors versus solo authors.

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