Pith Number

pith:2GRWAIPX

pith:2018:2GRWAIPXBPOOGKQPGGRL5FYUO3

not attested not anchored not stored refs pending

Character ratios, representation varieties and random generation of finite groups of Lie type

Aner Shalev, Martin W. Liebeck, Pham H. Tiep

arxiv:1807.08842 v2 · 2018-07-23 · 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{2GRWAIPXBPOOGKQPGGRL5FYUO3}

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	2026-07-05T01:27:16.761415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a36021f70bdce32a0f31a2be971476f6077c68efa78aa25e6509e0e961067a

Aliases

arxiv: 1807.08842 · arxiv_version: 1807.08842v2 · doi: 10.48550/arxiv.1807.08842 · pith_short_12: 2GRWAIPXBPOO · pith_short_16: 2GRWAIPXBPOOGKQP · pith_short_8: 2GRWAIPX

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/2GRWAIPXBPOOGKQPGGRL5FYUO3 \
  | 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: d1a36021f70bdce32a0f31a2be971476f6077c68efa78aa25e6509e0e961067a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa0669bef23b4c6d539c6aa6dd5fe65fb6506fe7ab690d6ae7e76f471742eaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-23T21:49:56Z",
    "title_canon_sha256": "b5ae6eac2201473990eb8461ff28c29098af81e2745d4d07adee213366a9bfdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08842",
    "kind": "arxiv",
    "version": 2
  }
}