Pith Number

pith:FSCJ7E2Z

pith:2014:FSCJ7E2ZZA6GLD6LHXSMOLTTJR

not attested not anchored not stored refs pending

The full automorphism group of the power (di)graph of a finite group

Kaishun Wang, Min Feng, Xuanlong Ma

arxiv:1406.2788 v1 · 2014-06-11 · 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{FSCJ7E2ZZA6GLD6LHXSMOLTTJR}

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	2026-05-18T02:49:55.121365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c849f9359c83c658fcb3de4c72e734c717a652f2909acdd7681af050b131d6a

Aliases

arxiv: 1406.2788 · arxiv_version: 1406.2788v1 · doi: 10.48550/arxiv.1406.2788 · pith_short_12: FSCJ7E2ZZA6G · pith_short_16: FSCJ7E2ZZA6GLD6L · pith_short_8: FSCJ7E2Z

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/FSCJ7E2ZZA6GLD6LHXSMOLTTJR \
  | 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: 2c849f9359c83c658fcb3de4c72e734c717a652f2909acdd7681af050b131d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794a877b7151ef705ddf14de1c78c0e31519be25490ed21dd2b47aeb1104e20d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-11T06:11:09Z",
    "title_canon_sha256": "4e8906c787289329e813c943cda2b2ae39a6ccbd31ed5f2d2b2bd3b257dd14d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2788",
    "kind": "arxiv",
    "version": 1
  }
}