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Record W2031832111 · doi:10.4007/annals.2003.158.1099

Corrigendum to “Convex hypersurfaces of prescribed curvature”

2003· erratum· en· W2031832111 on OpenAlex
Bo Guan, Pengfei Guan

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.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueAnnals of Mathematics · 2003
Typeerratum
Languageen
FieldMathematics
TopicGeometric Analysis and Curvature Flows
Canadian institutionsMcGill University
Fundersnot available
KeywordsMathematicsRegular polygonCurvaturePure mathematicsGeometry

Abstract

fetched live from OpenAlex

The formula (3.1) was incorrectly quoted as (3.5) in the proof of Theorem 1.1. To be more precise, the paragraph before formula (3.7), on page 666, should read: "Assume B, > 0 on S n . For w B and 0 t 1, we write v = e w and denote by u t the unique solution of (3.1) in A [v] with replaced by t = t + (1t). From Theorem 3.4, log u t B and the map" All the results of the paper are unchanged. We thank Xujia Wang for pointing out the misprint.

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 imitation

Not 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.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.004
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.089
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.004
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0030.001
Bibliometrics0.0010.002
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0010.000

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.

Opus teacher head0.174
GPT teacher head0.357
Teacher spread0.184 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it