Four Decades of Materials are Used by Researchers in Mathematics: Evaluating Citations' Age and Publication Types in Mathematical Research
Why this work is in the frame
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Bibliographic record
Abstract
The purpose of this article was to re-test previous findings that forty years of mathematics research is required to cover 90 percent of the mathematics citations. I have used an improved comprehensive methodology, extracting all articles by the University of British Columbia department of mathematics for 2011 and working with the 4,161 citations from these articles. The results confirm previous research that we need forty years of mathematics research to cover 90 percent of the materials cited by mathematics faculty. Also, I have found that in mathematics only 24 percent of citations are coming from research newer than five years. Moreover, I report that the vast majority of the mathematics citations are from journals—81 percent are journal articles, while only 15 percent are books citations.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.083 | 0.209 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.087 | 0.204 |
| Science and technology studies | 0.000 | 0.005 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.003 | 0.002 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it