Pith. Sign in

RECORD

Characterization of test functions in CKS-space

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

Functional Analysis · Submitted 12 Apr 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We prove a characterization theorem for the test functions in a CKS-space.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDmath/0104135 (version 1)
Pith IDUQQXVR2O, Pith's permanent record of this paper and its review
CitationHui-Hsiung Kuo, Izumi Kubo, Nobuhiro Asai. "Characterization of test functions in CKS-space." arXiv:math/0104135 (2001). https://pith.science/paper/UQQXVR2O
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,156 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We prove a characterization theorem for the test functions in a CKS-space. Some crucial ideas concerning the growth condition are given.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We prove a characterization theorem for the test functions in a CKS-space. contribution 0.62 0.95 0.89 asserted 1.00
s1 Some crucial ideas concerning the growth condition are given. contribution 0.85 0.70 0.06 asserted 0.93

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We prove a characterization theorem for the test functions in a CKS-space. Some crucial ideas concerning the growth condition are given.

Human review

How Pith checks papers → · Full audit of this paper →

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.