Pith Number

pith:K4FC76G7

pith:2025:K4FC76G7OC3KORR6RF4TYU4TWC

not attested not anchored not stored refs pending

Type A algebraic coherence conjecture of Pappas and Rapoport

an appendix in collaboration with Andrey Karenskih, Evgeny Feigin

An algebraic construction in type A explicitly connects Demazure modules from the Pappas-Rapoport coherence conjecture to a wider class of representations.

arxiv:2504.20549 v3 · 2025-04-29 · math.RT · math.AG

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\pithnumber{K4FC76G7OC3KORR6RF4TYU4TWC}

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Record completeness

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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

The paper formulates an algebraic construction providing an explicit link between Demazure modules in the algebraic reformulation of the Pappas-Rapoport coherence conjecture, applicable to a wider class of representations in type A, with the general case involving affine Kostant-Kumar modules.

C2weakest assumption

The assumption that the proposed algebraic construction indeed provides the explicit link for the Demazure modules and extends appropriately to the affine Kostant-Kumar modules as stated.

C3one line summary

Formulates a type A algebraic construction linking Demazure modules to address the algebraic reformulation of the Pappas-Rapoport coherence conjecture, extending to affine Kostant-Kumar modules in general cases.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Equivariant cohomology of juggling varieties in rank one

Receipt and verification

First computed	2026-06-02T01:03:31.385775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570a2ff8df70b6a7463e89793c5393b0a75d66e3559f56adda5fdcd5e1049887

Aliases

arxiv: 2504.20549 · arxiv_version: 2504.20549v3 · doi: 10.48550/arxiv.2504.20549 · pith_short_12: K4FC76G7OC3K · pith_short_16: K4FC76G7OC3KORR6 · pith_short_8: K4FC76G7

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/K4FC76G7OC3KORR6RF4TYU4TWC \
  | 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: 570a2ff8df70b6a7463e89793c5393b0a75d66e3559f56adda5fdcd5e1049887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2621e9d30da4426811b88986b9e77d02f3168283f290277df5e400223b7c0a49",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-04-29T08:52:10Z",
    "title_canon_sha256": "fc1bad1c7041cb05442b5ce12ddcc2519b4d0d3fad19f11f38f57193e2d6b627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20549",
    "kind": "arxiv",
    "version": 3
  }
}