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Experimenting with the Dym-Luks Ball and Cell Game (almost) Sixty Years Later

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Shalosh B. Ekhad, Doron Zeilberger

Combinatorics · Submitted 13 Jan 2023

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

The authors' main claim This is a symbolic-computational redux, and extension, of a beautiful paper, by Harry Dym and Eugene Luks, published in 1966 (but written in 1964) about a certain game with balls and cells.

how it is stated · asserted 1.00 read the record →

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arXiv ID2301.05633 (version 1)
Pith ID43MMML3U, Pith's permanent record of this paper and its review
CitationDoron Zeilberger, Shalosh B. Ekhad. "Experimenting with the Dym-Luks Ball and Cell Game (almost) Sixty Years Later." arXiv:2301.05633 (2023). https://pith.science/paper/43MMML3U
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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,677 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.11 · human participants 0.04 · controlled comparison 0.02 · randomized assignment 0.02 · states quantitative result 0.10 · compares with prior results 0.21 · mentions code or data availability 0.04.

The abstract, sentence by sentence

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

This is a symbolic-computational redux, and extension, of a beautiful paper, by Harry Dym and Eugene Luks, published in 1966 (but written in 1964) about a certain game with balls and cells.

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 This is a symbolic-computational redux, and extension, of a beautiful paper, by Harry Dym and Eugene Luks, published in 1966 (but written in 1964) about a certain game with balls and cells. background 0.56 0.27 0.07 asserted 1.00

What kind of paper the classifier reports this is: position or commentary 0.42 · evidence from simulation or computation 0.52.

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

This is a symbolic-computational redux, and extension, of a beautiful paper, by Harry Dym and Eugene Luks, published in 1966 (but written in 1964) about a certain game with balls and cells.

Human review

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