Pith Number

pith:YMHMJO4W

pith:2026:YMHMJO4WAHAPWV3BTZH7UG37I5

not attested not anchored not stored refs pending

On D-cap-Modules of Finite Length on Rigid Analytic Spaces

Julian Reichardt

Holonomic D-modules extend to finite-length coadmissible D-cap-modules on quasi-compact smooth rigid analytic spaces.

arxiv:2604.24173 v2 · 2026-04-27 · math.NT · math.AG

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\usepackage{pith}
\pithnumber{YMHMJO4WAHAPWV3BTZH7UG37I5}

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Record completeness

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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

for quasi-compact smooth rigid analytic spaces, the extension functor sends holonomic D-modules to coadmissible D-cap-modules which are of finite length as weakly holonomic D-cap-modules

C2weakest assumption

The rigid analytic spaces are quasi-compact and smooth, and the input D-modules are holonomic; the extension functor preserves the necessary coadmissibility and finite length properties under these conditions.

C3one line summary

Holonomic D-modules on quasi-compact smooth rigid analytic spaces extend to finite-length weakly holonomic D-cap-modules, with applications to meromorphic connections and local cohomology groups.

Receipt and verification

First computed	2026-07-15T01:21:56.435231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30ec4bb9601c0fb57619e4ffa1b7f475931f9e65a409b34c1d8fcf445c4a7b1

Aliases

arxiv: 2604.24173 · arxiv_version: 2604.24173v2 · doi: 10.48550/arxiv.2604.24173 · pith_short_12: YMHMJO4WAHAP · pith_short_16: YMHMJO4WAHAPWV3B · pith_short_8: YMHMJO4W

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/YMHMJO4WAHAPWV3BTZH7UG37I5 \
  | 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: c30ec4bb9601c0fb57619e4ffa1b7f475931f9e65a409b34c1d8fcf445c4a7b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eee25f010cd374a3deadcc1c2bdb0843ec182370ad40e233a33264a4b450f0f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-04-27T08:32:01Z",
    "title_canon_sha256": "439893c51cded8123e1701970a32fc3dec9e03d2bf9a119bee8c7a5044ac849e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.24173",
    "kind": "arxiv",
    "version": 2
  }
}