Pith Number

pith:FEN2Z7JC

pith:2016:FEN2Z7JCBK53B3A373OJWPZTDC

not attested not anchored not stored refs pending

Groups that have the same holomorph as a finite perfect group

A. Caranti, F. Dalla Volta

arxiv:1612.03573 v3 · 2016-12-12 · 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{FEN2Z7JCBK53B3A373OJWPZTDC}

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	2026-05-17T23:56:48.767132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

291bacfd220abbb0ec1bfedc9b3f33189945625011f784b2cd09df64bee7c89d

Aliases

arxiv: 1612.03573 · arxiv_version: 1612.03573v3 · doi: 10.48550/arxiv.1612.03573 · pith_short_12: FEN2Z7JCBK53 · pith_short_16: FEN2Z7JCBK53B3A3 · pith_short_8: FEN2Z7JC

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/FEN2Z7JCBK53B3A373OJWPZTDC \
  | 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: 291bacfd220abbb0ec1bfedc9b3f33189945625011f784b2cd09df64bee7c89d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b68e84821157bc92dcca1d62826eb5e532ee41954ef566c09ee34386663bb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-12T09:02:30Z",
    "title_canon_sha256": "27480ddf7d73ab27df319e76cb9304cbbe601a7847cf7f66d83470549d625b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03573",
    "kind": "arxiv",
    "version": 3
  }
}