Pith Number

pith:2XWQIHN5

pith:2010:2XWQIHN5OLOL425KGYQ4XKR4QF

not attested not anchored not stored refs pending

First cohomology for finite groups of Lie type: simple modules with small dominant weights

Adrian M. Brunyate, Andrew J. Talian, Benjamin F. Jones, Benjamin J. Wyser (University of Georgia VIGRE Algebra Group), Brandon L. Samples, Brian D. Boe, Christopher M. Drupieski, Daniel K. Nakano, Duc Duy Nguyen, Jon F. Carlson, Leonard Chastkofsky, Lisa Townsley, Nham Vo Ngo, Niles Johnson, Wenjing Li

arxiv:1010.1203 v3 · 2010-10-06 · math.GR · 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{2XWQIHN5OLOL425KGYQ4XKR4QF}

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	2026-05-18T03:31:18.148922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ed041dbd72dcbe6baa3621cbaa3c817b573d99a9ce9ab83ee0f4cf7e849b6a

Aliases

arxiv: 1010.1203 · arxiv_version: 1010.1203v3 · doi: 10.48550/arxiv.1010.1203 · pith_short_12: 2XWQIHN5OLOL · pith_short_16: 2XWQIHN5OLOL425K · pith_short_8: 2XWQIHN5

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/2XWQIHN5OLOL425KGYQ4XKR4QF \
  | 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: d5ed041dbd72dcbe6baa3621cbaa3c817b573d99a9ce9ab83ee0f4cf7e849b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04ab69b7650f73b39c2b717354a127a9fac9409850015f1d2e6b2d6756c3a57",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-06T16:54:23Z",
    "title_canon_sha256": "004152450ec871fa74830a0109005cf62ca21938b74a072d66b63e9a7ba19a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1203",
    "kind": "arxiv",
    "version": 3
  }
}