Pith Number

pith:V7BDZP7S

pith:2011:V7BDZP7SYP42UORTMWMMYFW5HO

not attested not anchored not stored refs pending

Words with few values in finite simple groups

Martin Kassabov, Nikolay Nikolov

arxiv:1112.5484 v2 · 2011-12-22 · 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{V7BDZP7SYP42UORTMWMMYFW5HO}

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	2026-05-18T03:55:58.855900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc23cbff2c3f9aa3a336598cc16dd3b86d56cd87d6126ee9abd7927b7a07481

Aliases

arxiv: 1112.5484 · arxiv_version: 1112.5484v2 · doi: 10.48550/arxiv.1112.5484 · pith_short_12: V7BDZP7SYP42 · pith_short_16: V7BDZP7SYP42UORT · pith_short_8: V7BDZP7S

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/V7BDZP7SYP42UORTMWMMYFW5HO \
  | 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: afc23cbff2c3f9aa3a336598cc16dd3b86d56cd87d6126ee9abd7927b7a07481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7018b38baa262b7241d7c162ed14e9c1278472f84d452ec05dd3aae3a7d79918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-22T22:49:58Z",
    "title_canon_sha256": "8d0d07ed72601c0d6bf47221bc9f2f79a41e6c7863f79de11b130749aac00296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5484",
    "kind": "arxiv",
    "version": 2
  }
}