Pith Number

pith:CNERJSON

pith:2026:CNERJSONMRFMKU4Z4TDM7RMMCN

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Chebyshev quotients, Demazure multiplicities, and Dyck-path models

Jujian Zhang, Ken Ono, Rekha Biswal

Chebyshev quotients whose coefficients are Demazure multiplicities eventually have only positive terms or terminate.

arxiv:2604.25246 v2 · 2026-04-28 · math.RT · math.CO

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\usepackage{pith}
\pithnumber{CNERJSONMRFMKU4Z4TDM7RMMCN}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

we prove a general eventual non-negativity theorem: each quotient either terminates or has strictly positive coefficients for sufficiently large degrees, which we in turn interpret in terms of matchings and bounded walks. In several natural infinite families, these are unsigned bounded Dyck path models.

C2weakest assumption

The starting point that Demazure multiplicities appear as coefficients of the Chebyshev quotients, taken from a recent formula whose details are not re-derived here.

C3one line summary

Chebyshev quotients for Demazure multiplicities eventually have non-negative coefficients, explained by bounded Dyck-path models.

Receipt and verification

First computed	2026-05-20T02:05:43.838972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

134914c9cd644ac55399e4c6cfc58c136b021ac15280d79459612242536e53fc

Aliases

arxiv: 2604.25246 · arxiv_version: 2604.25246v2 · doi: 10.48550/arxiv.2604.25246 · pith_short_12: CNERJSONMRFM · pith_short_16: CNERJSONMRFMKU4Z · pith_short_8: CNERJSON

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CNERJSONMRFMKU4Z4TDM7RMMCN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 134914c9cd644ac55399e4c6cfc58c136b021ac15280d79459612242536e53fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e07c1f15d3ac4f694c86058ed299fbf11f32809afd777613f732ce6c3dd43913",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-04-28T05:52:03Z",
    "title_canon_sha256": "8879c21f1451b15860fda12afde163503f9a8106f9b80e187c13ee3985465164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25246",
    "kind": "arxiv",
    "version": 2
  }
}