Pith Number

pith:VH5D2LQY

pith:2011:VH5D2LQYMHSR5RMBYOCXZ3C63N

not attested not anchored not stored refs pending

Cohomology of Deligne-Lusztig varieties for short-length regular elements in exceptional groups

Olivier Dudas (MI)

arxiv:1112.5377 v1 · 2011-12-22 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VH5D2LQYMHSR5RMBYOCXZ3C63N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Receipt and verification

First computed	2026-05-18T04:05:47.443266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fa3d2e1861e51ec581c3857cec5edb6838a49543411413a18fedb49f5dd31d

Aliases

arxiv: 1112.5377 · arxiv_version: 1112.5377v1 · doi: 10.48550/arxiv.1112.5377 · pith_short_12: VH5D2LQYMHSR · pith_short_16: VH5D2LQYMHSR5RMB · pith_short_8: VH5D2LQY

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/VH5D2LQYMHSR5RMBYOCXZ3C63N \
  | 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: a9fa3d2e1861e51ec581c3857cec5edb6838a49543411413a18fedb49f5dd31d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee37518b1d56be1e3d1905cf224a31cef753c75669c2c621a240d4e0cfb7185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-22T16:56:27Z",
    "title_canon_sha256": "1cef22029854bc23f5eac5766327848d68f86d391a50a90ddadc52a2aebbcf69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5377",
    "kind": "arxiv",
    "version": 1
  }
}