Pith. sign in

REVIEW 1 cited by

Signed puzzles for Schubert coefficients

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2504.17734 v2 pith:TBYYLCCD submitted 2025-04-24 math.CO

Igor Pak , Colleen Robichaux This is my paper · ORCID
classification math.CO
keywords coefficientsruleschubertsignedanalysisarxivboundedcareful
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We give a signed puzzle rule to compute Schubert coefficients. The rule is based on a careful analysis of Knutson's recurrence arXiv:math/0306304. We use the rule to prove polynomiality of the sums of Schubert coefficients with bounded number of inversions.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Richardson tableaux and Schubert positivity

    math.CO 2025-10 conditional novelty 7.0 of 10

    The Schubert cycle expansion of a Springer fiber component equal to a Richardson variety, indexed by a Richardson tableau, is computed combinatorially using translation-equivalent Bruhat intervals and Sottile's Pieri rule.

Pith tools