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
We rigorously compute the integrable system for the limiting\n$(N\\rightarrow\\infty)$ distribution function of the extreme momentum of $N$\nnoninteracting fermions when confined to an anharmonic trap $V(q)=q^{2n}$ for\n$n\\in\\mathbb{Z}_{\\geq 1}$ at positive temperature. More precisely, the edge\nmomentum statistics in the harmonic trap $n=1$ are known to obey the weak\nasymmetric KPZ crossover law which is realized via the finite temperature Airy\nkernel determinant or equivalently via a Painlev\\'e-II integro-differential\ntranscendent, cf. \\cite{LW,ACQ}. For general $n\\geq 2$, a novel higher order\nfinite temperature Airy kernel has recently emerged in physics literature\n\\cite{DMS} and we show that the corresponding edge law in momentum space is now\ngoverned by a distinguished Painlev\\'e-II integro-differential hierarchy. Our\nanalysis is based on operator-valued Riemann-Hilbert techniques which produce a\nLax pair for an operator-valued Painlev\\'e-II ODE system that naturally encodes\nthe aforementioned hierarchy. As byproduct, we establish a connection of the\nintegro-differential Painlev\\'e-II hierarchy to a novel integro-differential\nmKdV hierarchy.\n
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 | 0.001 |
| 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 | 0.000 |
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