Pith Number

pith:5EO5XMTH

pith:2014:5EO5XMTHJVIBKN5XJ22YP6CXI7

not attested not anchored not stored refs pending

On finite groups where the order of every automorphism is a cycle length

Alexander Bors

arxiv:1412.8418 v2 · 2014-12-29 · 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{5EO5XMTHJVIBKN5XJ22YP6CXI7}

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	2026-05-18T02:28:31.097400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91ddbb2674d501537b74eb587f85747cac0422433a862ac9ae5b1dfb0688ab6

Aliases

arxiv: 1412.8418 · arxiv_version: 1412.8418v2 · doi: 10.48550/arxiv.1412.8418 · pith_short_12: 5EO5XMTHJVIB · pith_short_16: 5EO5XMTHJVIBKN5X · pith_short_8: 5EO5XMTH

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/5EO5XMTHJVIBKN5XJ22YP6CXI7 \
  | 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: e91ddbb2674d501537b74eb587f85747cac0422433a862ac9ae5b1dfb0688ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2ed1f720afde922e624a71681e58659d770ac36f32bfd1e0611203c18b14234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-29T18:40:43Z",
    "title_canon_sha256": "cd9722ece4060112ee9bbe3d1167f323b5711633da1addf35bdbd7520e88b102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8418",
    "kind": "arxiv",
    "version": 2
  }
}