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On large complete arcs: ood case

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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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Massimo Giulietti, Fernanda Pambianco, Fernando Torres, Emmanuela Ughi

Algebraic Geometry · Submitted 6 May 1999

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

The authors' main claim An approach for the computation of upper bounds on the size of large complete arcs is presented.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath/9905037 (version 1)
Pith IDI4V44PGM, Pith's permanent record of this paper and its review
CitationEmmanuela Ughi, Fernanda Pambianco, Fernando Torres, Massimo Giulietti. "On large complete arcs: ood case." arXiv:math/9905037 (1999). https://pith.science/paper/I4V44PGM
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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.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,879 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.45 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.10 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

An approach for the computation of upper bounds on the size of large complete arcs is presented. We obtain in particular geometrical properties of irreducible envelopes associated to a second largest complete arc provided that the order of the underlying field is large enough. We use Stoehr-Voloch's approach to the Hasse-Weil bound for rational points of curves defined over finite fields

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 An approach for the computation of upper bounds on the size of large complete arcs is presented. contribution 0.94 0.86 0.39 asserted 1.00
s1 We obtain in particular geometrical properties of irreducible envelopes associated to a second largest complete arc provided that the order of the underlying field is large enough. result 0.97 0.92 0.27 asserted 0.97
s2 We use Stoehr-Voloch's approach to the Hasse-Weil bound for rational points of curves defined over finite fields method 0.99 0.49 0.06 asserted 0.99

What kind of paper the classifier reports this is: method or tool 0.55 · evidence from proof or derivation 0.99.

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

An approach for the computation of upper bounds on the size of large complete arcs is presented. We obtain in particular geometrical properties of irreducible envelopes associated to a second largest complete arc provided that the order of the underlying field is large enough. We use Stoehr-Voloch's approach to the Hasse-Weil bound for rational points of curves defined over finite fields

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