Pith Number

pith:UKTPAHZV

pith:2026:UKTPAHZVMJZ234IC7CHTKUJ4QH

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On Drinfeld's representability theorem

Arnaud Vanhaecke

Drinfeld's representability theorem for moduli of p-divisible groups holds via a new transparent proof.

arxiv:2605.16092 v1 · 2026-05-15 · math.NT · math.AG

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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

Drinfeld's representability theorem holds and admits a new, more transparent proof; the notes also supply a detailed presentation of Drinfeld's moduli space and the formal model of the p-adic symmetric space.

C2weakest assumption

The moduli problem is defined exactly as the deformation problem by quasi-isogenies of certain p-divisible groups with extra actions that Drinfeld originally considered.

C3one line summary

New transparent proof of Drinfeld's representability theorem for moduli of p-divisible groups with extra actions, plus detailed presentation of the moduli space and formal model of the p-adic symmetric space.

References

66 extracted · 66 resolved · 2 Pith anchors

[1] P. Abramenko and K. S. Brown.Buildings: Theory and applications. Grad. Texts Math. 248, Springer (2008) 2008

[2] T. Ahsendorf, C. Cheng, and T. Zink.O-displays andπ-divisible formalO-modules.J. Algebra, 457:129–193 (2016) 2016

[3] S. Bartling. The universal special formalO D-module ford= 2. Preprint, arXiv:2206.13195 (2022) 2022

[4] S. Bartling and M. Hoff. Moduli spaces of nilpotent displays.Int. Math. Res. Not., 2025(3):rnaf005 (2025) 2025

[5] Bass.AlgebraicK-theory 1968

Cited by

1 paper in Pith

On optimal $p$-adic uniformization of unitary Shimura curves

Receipt and verification

First computed	2026-05-20T00:01:52.291045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a6f01f356273adf102f88f35513c81e2f314530a5fb51953befabeef76b4fd

Aliases

arxiv: 2605.16092 · arxiv_version: 2605.16092v1 · doi: 10.48550/arxiv.2605.16092 · pith_short_12: UKTPAHZVMJZ2 · pith_short_16: UKTPAHZVMJZ234IC · pith_short_8: UKTPAHZV

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UKTPAHZVMJZ234IC7CHTKUJ4QH \
  | 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: a2a6f01f356273adf102f88f35513c81e2f314530a5fb51953befabeef76b4fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c7437bef907119d4a6996599bb4b7d372e11fbb7d47599a2ed930a05357957",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-15T15:48:50Z",
    "title_canon_sha256": "a4f3d60a2fe07ed65c78fb6b4360fc6ccbaeac82d993cbadd485858d7e4ccc9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16092",
    "kind": "arxiv",
    "version": 1
  }
}