Pith. sign in

REVIEW 2 cited by

On the strong DR/DZ equivalence conjecture

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 2405.12334 v2 pith:ZWZ6EQ3E submitted 2024-05-20 math.AG math-phmath.MP

Xavier Blot , Danilo Lewanski , Sergey Shadrin This is my paper · ORCID
classification math.AGmath-phmath.MP
keywords buryakequivalencehierarchyassociatedcohomologicalconjectureconjectureddouble
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We establish the Miura equivalence of two integrable systems associated to a semi-simple cohomological field theory: the double ramification hierarchy of Buryak and the Dubrovin-Zhang hierarchy. This equivalence was conjectured by Buryak and further refined by Buryak, Dubrovin, Gu\'er\'e, and Rossi.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Finite Group Reduction of the DR/DZ Hierarchies

    math.AG 2026-07 conditional novelty 6.0 of 10

    Finite-group reduction preserves bihamiltonian and tau structures of DR/DZ hierarchies, and two inequivalent reductions of the P¹_{2,2,2,2} CohFT give two higher-genus completions of M_{1,1}, one equivalent to genus-1...

  2. Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy

    math.AG 2025-06 conditional novelty 6.0 of 10

    The reduced DR hierarchy built from spin-weighted strata of residueless meromorphic differentials with two zeros equals the BKP hierarchy up to an explicit coordinate transformation.

Pith tools