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
SummaryA number triangle, discovered using a recurrence formula similar to that of Pascal's triangle, yields sequence A077028 from the Online Encyclopedia of Integer Sequences. Additional informationNotes on contributorsAlif AnggoroAlif Anggoro is a seventh grader at Al Azhar Junior High School in Java Bekasi, a suburb of Jakarta, Indonesia—the Muslim country with the largest population. He is fairly good at sports, mainly badminton and soccer (called football in Asia). "I like solving puzzles and mathematics problems," Alif writes, "and have participated in a number of mathematics competitions. I have not yet met Angus or Eddy. We work together through email." Just last year Alif won a Bronze medal at the International Mathematics Contest in Singapore.Eddy LiuEddy Liu is an eighth grader at Washington Middle School in Seattle. He takes chess lessons and has won some prize money in small tournaments. He is also interested in history and plays Diplomacy online. He has met Angus at a Math Camp. "Although I live in a big city," Eddy writes, "I am just as isolated as Angus because both my parents work, my only sister is six years older, and there are very few boys my age in the neighborhood."Angus TullochAngus Tulloch is an eighth grader at Crestomere School in Rimbey, Alberta—a tiny town no-one's ever heard of in the middle of nowhere, or so he claims. He was home schooled for grades one to seven. He is driven to Math Club on Saturdays in Edmonton, at least an hour away. "Don't get me wrong," Angus writes, "I'm proud of my neighborhood. The big advantage of home schooling and isolation is that there isn't much social interaction. That leaves intellectual stuff only. I also have to thank my parents for their steadfast refusal to buy a gaming system."
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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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