Pith Number

pith:ZGLWA7JN

pith:2007:ZGLWA7JNKBYV3SFSEB3ICZYTCG

not attested not anchored not stored refs pending

Uniqueness cases in odd type groups of finite Morley rank

Alexandre Borovik, Ali Nesin, Jeffrey Burdges

arxiv:0711.4167 v1 · 2007-11-27 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGLWA7JNKBYV3SFSEB3ICZYTCG}

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	2026-05-18T02:58:12.028573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c997607d2d50715dc8b2207681671311901ef2b61b5fa8cb9af264e04e03f1a2

Aliases

arxiv: 0711.4167 · arxiv_version: 0711.4167v1 · doi: 10.48550/arxiv.0711.4167 · pith_short_12: ZGLWA7JNKBYV · pith_short_16: ZGLWA7JNKBYV3SFS · pith_short_8: ZGLWA7JN

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/ZGLWA7JNKBYV3SFSEB3ICZYTCG \
  | 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: c997607d2d50715dc8b2207681671311901ef2b61b5fa8cb9af264e04e03f1a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30143a668c7c8a365f8e8317640de84fccc3bc3a8ff15370fb3e53f94d21d9e4",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-11-27T02:07:55Z",
    "title_canon_sha256": "a6268bbf02abd8c9ef3babd222d802ec1ee8eabef3500a258ebe1ff4997ec1fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4167",
    "kind": "arxiv",
    "version": 1
  }
}