Pith Number

pith:7ZZ65EIV

pith:2026:7ZZ65EIV53DPQL3BQIPJ3LCNH4

not attested not anchored not stored refs resolved

On the Face Map of the Admissible Set With Iwahori Level

Qingchao Yu

The mu-admissible set decomposes into faces indexed by those of the coweight polytope, proving the face map is surjective.

arxiv:2605.15657 v1 · 2026-05-15 · math.NT · math.RT

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\usepackage{pith}
\pithnumber{7ZZ65EIV53DPQL3BQIPJ3LCNH4}

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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

As an application, we give a complete description of the fibers of the face map |Δ|^f defined by Pappas-Rapoport and prove that the face map is surjective.

C2weakest assumption

The subsets Adm(μ)_F associated to each face F of the coweight polytope P_μ are well-defined, disjoint or overlapping in a controlled way, and their union exhausts Adm(μ) to form a decomposition.

C3one line summary

The paper introduces a face decomposition of the μ-admissible set and proves surjectivity of the Pappas-Rapoport face map |Δ|^f with a complete description of its fibers.

References

21 extracted · 21 resolved · 2 Pith anchors

[1] J. Ansch¨ utz, I. Gleason, J. Louren¸ co, and T. Richarz.On the p-adic theory of local models. 2022. arXiv:2201.01234 [math.AG] 2022

[2] Reflection subgroups of Coxeter systems 1990

[3] Fully Hodge-Newton decomposable Shimura varieties 2019

[4] Test functions for Shimura varieties: the Drinfeld case 2001

[5] Introduction to Shimura varieties with bad reduction of parahoric type 2005

Receipt and verification

First computed	2026-05-20T00:01:10.636642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe73ee9115eec6f82f61821e9dac4d3f3511fcd1872e84eb2aa327ed6a06063f

Aliases

arxiv: 2605.15657 · arxiv_version: 2605.15657v1 · doi: 10.48550/arxiv.2605.15657 · pith_short_12: 7ZZ65EIV53DP · pith_short_16: 7ZZ65EIV53DPQL3B · pith_short_8: 7ZZ65EIV

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Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7ZZ65EIV53DPQL3BQIPJ3LCNH4 \
  | 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: fe73ee9115eec6f82f61821e9dac4d3f3511fcd1872e84eb2aa327ed6a06063f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6feb6c543e5d6e5102c6cc41a4f1807b0026143faa76c94c92eda6648674f46f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-15T06:25:49Z",
    "title_canon_sha256": "dc6bcd3205b3c95deddaf6a0e652ba03ca899cfbc4827620c421483f6b434457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15657",
    "kind": "arxiv",
    "version": 1
  }
}