Pith Number

pith:A6WB3FRB

pith:2018:A6WB3FRBUUX6X36VKKX2KNQMWT

not attested not anchored not stored refs pending

On the length and depth of finite groups (with an appendix by D.R. Heath-Brown)

Aner Shalev, Martin W. Liebeck, Timothy C. Burness

arxiv:1802.02194 v2 · 2018-02-06 · 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{A6WB3FRBUUX6X36VKKX2KNQMWT}

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	2026-05-17T23:41:46.853740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ac1d9621a52febefd552afa5360cb4feb7ec5aceba578aa7f30ec025994347

Aliases

arxiv: 1802.02194 · arxiv_version: 1802.02194v2 · doi: 10.48550/arxiv.1802.02194 · pith_short_12: A6WB3FRBUUX6 · pith_short_16: A6WB3FRBUUX6X36V · pith_short_8: A6WB3FRB

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/A6WB3FRBUUX6X36VKKX2KNQMWT \
  | 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: 07ac1d9621a52febefd552afa5360cb4feb7ec5aceba578aa7f30ec025994347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be5bf56a6d72dfd66d5af1e374bbd3310ec464f1f366fe2ff974130752529834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-06T20:15:15Z",
    "title_canon_sha256": "b42ebf661e84527568d757093c00e403d3aa62a1a9fb16ff8d8ff9a7c925c631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02194",
    "kind": "arxiv",
    "version": 2
  }
}