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
An investigation of the origin of the formulas for the sums of integer powers was performed. A method for calculating the sums of the first n integers to the kth power, denoted Sk(n), was first derived by Jacques Bernoulli in the late 1600’s. Through the discovery of formulas for the computation of integer powers, a numeric sequence arose. This sequence has become known as the Bernoulli numbers. Bernoulli simultaneously derived a recursive algorithm that can generate Bernoulli numbers. This recursive relationship was the subject of the first computer program in 1843. Utilizing a relationship that Bernoulli observed, it is possible to then calculate all terms in a coefficient matrix that enables the calculation of formulas for Sk(n). This coefficient matrix was generated using computer software with two different methods. Numerical analysis techniques were applied to each generated matrix, and the relative error between the two matrices was compared. Department: Mathematical Sciences Faculty Mentor: Dr. Christian Ivanescu
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 | 0.005 | 0.004 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| 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