Pith Number

pith:3C3S5RIM

pith:2012:3C3S5RIMEMOS6FBDXCQLSGMPUH

not attested not anchored not stored refs pending

On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups

Donna Testerman, Gerhard Roehrle, Kay Magaard

arxiv:1201.2057 v2 · 2012-01-10 · 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{3C3S5RIMEMOS6FBDXCQLSGMPUH}

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	2026-05-18T03:41:32.236001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b72ec50c231d2f1423b8a0b9198fa1d1f829e5fc17c4f0fd0bb0742d4b6edc

Aliases

arxiv: 1201.2057 · arxiv_version: 1201.2057v2 · doi: 10.48550/arxiv.1201.2057 · pith_short_12: 3C3S5RIMEMOS · pith_short_16: 3C3S5RIMEMOS6FBD · pith_short_8: 3C3S5RIM

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/3C3S5RIMEMOS6FBDXCQLSGMPUH \
  | 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: d8b72ec50c231d2f1423b8a0b9198fa1d1f829e5fc17c4f0fd0bb0742d4b6edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137037281f18a333944cdce9734625d81a14d73c6259a54ed0ea4a7dc5835a03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-10T14:21:14Z",
    "title_canon_sha256": "c894f47227c6024d4caaab2b2a49763b7fede1e82ca5a2e3c4b2f480a5df146e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2057",
    "kind": "arxiv",
    "version": 2
  }
}