Pith Number

pith:FRLUUIVG

pith:2011:FRLUUIVGDKMZB3NFMQQE5HWHDU

not attested not anchored not stored refs pending

Property (T) for groups graded by root systems

Andrei Jaikin-Zapirain, Martin Kassabov, Mikhail Ershov

arxiv:1102.0031 v2 · 2011-01-31 · math.GR · math.FA · 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{FRLUUIVGDKMZB3NFMQQE5HWHDU}

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	2026-05-18T02:56:44.624753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c574a22a61a9990eda564204e9ec71d164effda870d4fa530568bc30b4e4439

Aliases

arxiv: 1102.0031 · arxiv_version: 1102.0031v2 · doi: 10.48550/arxiv.1102.0031 · pith_short_12: FRLUUIVGDKMZ · pith_short_16: FRLUUIVGDKMZB3NF · pith_short_8: FRLUUIVG

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/FRLUUIVGDKMZB3NFMQQE5HWHDU \
  | 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: 2c574a22a61a9990eda564204e9ec71d164effda870d4fa530568bc30b4e4439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33cc357a33941ee949f2180a5e12a24017cf578b9c391e2c3631c355f644eb10",
    "cross_cats_sorted": [
      "math.FA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-31T23:07:29Z",
    "title_canon_sha256": "68140ed26620d9efe96f35863cc3133b1485a3c31fb00ddb5f7fec0eb8e98d5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0031",
    "kind": "arxiv",
    "version": 2
  }
}