Pith Number

pith:LFTJPCIH

pith:2025:LFTJPCIHGCSCWZ5SQFSN5H3NPY

not attested not anchored not stored refs resolved

A $p$-adic Simpson correspondence for singular rigid-analytic varieties

Hanlin Cai, Zeyu Liu

The category of pro-étale vector bundles on a proper rigid-analytic variety is equivalent to the category of Higgs bundles on its eh-site.

arxiv:2512.21418 v2 · 2025-12-24 · math.AG

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\usepackage{pith}
\pithnumber{LFTJPCIHGCSCWZ5SQFSN5H3NPY}

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Record completeness

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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 show that the category of pro-étale vector bundles on X is equivalent to the category of Higgs bundles on the eh-site of X.

C2weakest assumption

X is a proper rigid-analytic variety over a complete algebraically closed non-archimedean extension C of Q_p, with the eh-site suitably defined to handle singular cases.

C3one line summary

The category of pro-étale vector bundles on a proper rigid-analytic variety X over C is equivalent to the category of Higgs bundles on the eh-site of X.

References

49 extracted · 49 resolved · 5 Pith anchors

[1] 261, Springer Berlin, 1984 1984

[2] Bhargav Bhatt and David Hansen, The six functors for zariski-constructible sheaves in rigid geometry, Compositio Mathematica 158 (2022), no. 2, 437--482 2022

[3] Bhargav Bhatt, Aspects of p-adic Hodge theory , https://www.math.ias.edu/ bhatt/teaching/mat517f25/pHT-notes.pdf

[4] flattening techniques, Mathematische Annalen 296 (1993), 403--429 1993

[5] Integral p-adic Hodge theory · arXiv:1602.03148

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:16.802399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596697890730a42b67b28164de9f6d7e208072277c29e14c0d19a04be577b298

Aliases

arxiv: 2512.21418 · arxiv_version: 2512.21418v2 · doi: 10.48550/arxiv.2512.21418 · pith_short_12: LFTJPCIHGCSC · pith_short_16: LFTJPCIHGCSCWZ5S · pith_short_8: LFTJPCIH

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/LFTJPCIHGCSCWZ5SQFSN5H3NPY \
  | 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: 596697890730a42b67b28164de9f6d7e208072277c29e14c0d19a04be577b298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08c08d6ee7fb15c474f228923e3624a4e6ef680d109edd9b3c2fa2174101dfa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-24T20:45:05Z",
    "title_canon_sha256": "daa00deed45f16f7a13c2969f7f144e9bc63fabebb78cf619c9e0e8fb03dda3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21418",
    "kind": "arxiv",
    "version": 2
  }
}