Bibliographic record
Abstract
We prove the finiteness of formal analogues of the spherical function\n(Spherical Finiteness), the ${\\mathbf c}$-function (Gindikin-Karpelevich\nFiniteness), and obtain a formal analogue of Harish-Chandra's limit\n(Approximation Theorem) relating spherical and ${\\mathbf c}$-function in the\nsetting of $p$-adic Kac-Moody groups. The finiteness theorems imply that the\nformal analogue of the Gindikin-Karpelevich integral is well defined in local\nKac-Moody settings. These results extend the\nBraverman-Garland-Kazhdan-Patnaik's affine Gindikin-Karpelevich finiteness\ntheorems and provide an algebraic analogue of the geometrical results of\nGaussent-Rousseau and H\\'{e}bert.\n
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How this classification was reachedexpand
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 | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".