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Homoclinic splitting, II. A possible counterexample to a claim by Rudnev and Wiggins on Physica D

chao-dyn · Submitted 7 Apr 1998

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

The authors' main claim Results in the mentioned paper do not seem valid.

how it is stated · hedged possibility 0.88 read the record →

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arXiv IDchao-dyn/9804017 (version 1)
Pith IDRZHBSIFX, Pith's permanent record of this paper and its review
Citation2, 3), G. Gallavotti, G. Gentile, V. Mastropietro (Universita' di Roma 1. "Homoclinic splitting, II. A possible counterexample to a claim by Rudnev and Wiggins on Physica D." arXiv:chao-dyn/9804017 (1998). https://pith.science/paper/RZHBSIFX
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, 1,557 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.03 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.40 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Results in the mentioned paper do not seem valid.

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 Results in the mentioned paper do not seem valid. result 0.63 0.17 0.85 hedged possibility 0.88

What kind of paper the classifier reports this is: position or commentary 1.00 · evidence from argument 0.79.

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

Results in the mentioned paper do not seem valid.

Human review

Discussion

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