Pith Number

pith:C22KEQHX

pith:2010:C22KEQHX2RNPR2MDFKBUC3DCWS

not attested not anchored not stored refs pending

Automizers as extended reflection groups

Rapha\"el Rouquier

arxiv:1010.4340 v1 · 2010-10-21 · 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{C22KEQHX2RNPR2MDFKBUC3DCWS}

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	2026-05-18T04:38:58.844172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b4a240f7d45af8e9832a83416c62b4929468d072ab3a6e4cfddb375860c398

Aliases

arxiv: 1010.4340 · arxiv_version: 1010.4340v1 · doi: 10.48550/arxiv.1010.4340 · pith_short_12: C22KEQHX2RNP · pith_short_16: C22KEQHX2RNPR2MD · pith_short_8: C22KEQHX

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/C22KEQHX2RNPR2MDFKBUC3DCWS \
  | 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: 16b4a240f7d45af8e9832a83416c62b4929468d072ab3a6e4cfddb375860c398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d998fae3e282d71917cfb87885d29b507d82d368534d001dc34353982a295d30",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-21T00:06:32Z",
    "title_canon_sha256": "37f2ff058b681ca02b51fb23665d381446e234b6fa1b14501fad3eca2349fd61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4340",
    "kind": "arxiv",
    "version": 1
  }
}