Pith Number

pith:QW25L4PR

pith:2012:QW25L4PRLYZN2EKM7VRGOGARA2

not attested not anchored not stored refs pending

Low dimensional projective indecomposable modules for Chevalley groups in defining characteristic

Alexandre E. Zalesski

arxiv:1202.1308 v1 · 2012-02-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QW25L4PRLYZN2EKM7VRGOGARA2}

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	2026-05-18T04:02:53.757630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b5d5f1f15e32dd114cfd6267181106babb58fe81f6ef5c5c64c21dfa9b6016

Aliases

arxiv: 1202.1308 · arxiv_version: 1202.1308v1 · doi: 10.48550/arxiv.1202.1308 · pith_short_12: QW25L4PRLYZN · pith_short_16: QW25L4PRLYZN2EKM · pith_short_8: QW25L4PR

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/QW25L4PRLYZN2EKM7VRGOGARA2 \
  | 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: 85b5d5f1f15e32dd114cfd6267181106babb58fe81f6ef5c5c64c21dfa9b6016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7edea993a49beafda26b2a92d4637ed91833cbc83bc7c4389ae0b0cd761eef9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-06T22:40:52Z",
    "title_canon_sha256": "41c2ff5a0a2f84064befd1a019692a89a090d2d08b83766d8fdc336819b03bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1308",
    "kind": "arxiv",
    "version": 1
  }
}