Pith Number

pith:TDR3PDJP

pith:2014:TDR3PDJPGALJ5EL37ILA45ER3L

not attested not anchored not stored refs pending

On the power graph of a finite group

Kaishun Wang, Min Feng, Xuanlong Ma

arxiv:1404.5192 v1 · 2014-04-21 · math.CO · 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{TDR3PDJPGALJ5EL37ILA45ER3L}

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	2026-05-18T02:53:39.354054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e3b78d2f30169e917bfa160e7491daddd8bd900fe4f9cfb7cdbdaa2d3ca706

Aliases

arxiv: 1404.5192 · arxiv_version: 1404.5192v1 · doi: 10.48550/arxiv.1404.5192 · pith_short_12: TDR3PDJPGALJ · pith_short_16: TDR3PDJPGALJ5EL3 · pith_short_8: TDR3PDJP

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/TDR3PDJPGALJ5EL37ILA45ER3L \
  | 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: 98e3b78d2f30169e917bfa160e7491daddd8bd900fe4f9cfb7cdbdaa2d3ca706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306ddcf49dbceb355f4d1205acf3a09291717fd858d97e52f149d827b3c83983",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-21T13:47:34Z",
    "title_canon_sha256": "1bf6ef97b644c4bf4cd1d09e20a773238fe2f9eea9c071a7d86daf776382e5d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5192",
    "kind": "arxiv",
    "version": 1
  }
}