Almost All Integer Matrices Have No Integer Eigenvalues
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Click to increase image sizeClick to decrease image size Additional informationNotes on contributorsGreg MartinGREG MARTIN is an associate professor of mathematics at the University of British Columbia in Vancouver, having joined the department in 2001. He earned his Ph.D. at the University of Michigan under the supervision of Trevor Wooley and Hugh Montgomery before holding postdoctoral positions at the Institute for Advanced Study and the University of Toronto. He was named a Senior Early Career Scholar by the Peter Wall Institute for Advanced Studies at UBC and was awarded a Killam Faculty of Science Teaching Award in 2007. He is also a two-time winner of the MAA's Lester R. Ford Award.Erick B. WongERICK B. WONG received his B.Sc. and M.Sc. in 1994 and 1997 from Simon Fraser University in Burnaby, Canada. He has worked at the MS/MRI Research Group since 2000, occasionally finding the time to write a math paper in between analyzing brain scans. In 2005, he fell sway to the irresistible glamour of academia, and is now a Ph.D. student in number theory at UBC under the first author's supervision. Besides working part-time at MS/MRI, he also dabbles in graphic design, origami, and puzzle contests.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.002 |
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