Pith Number

pith:W6E44GLY

pith:2016:W6E44GLYUTEQGDSATYDRFLXYTF

not attested not anchored not stored refs pending

Order divisor graphs of finite groups

Abdul Qudair Baig, Muhammad Imran, Shafiq ur Rehman, Zia Ullah Khan

arxiv:1611.04280 v3 · 2016-11-14 · 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{W6E44GLYUTEQGDSATYDRFLXYTF}

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	2026-05-17T23:57:15.923083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b789ce1978a4c9030e409e0712aef8995c206e3b603f7953eb59e4f80435dc05

Aliases

arxiv: 1611.04280 · arxiv_version: 1611.04280v3 · doi: 10.48550/arxiv.1611.04280 · pith_short_12: W6E44GLYUTEQ · pith_short_16: W6E44GLYUTEQGDSA · pith_short_8: W6E44GLY

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/W6E44GLYUTEQGDSATYDRFLXYTF \
  | 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: b789ce1978a4c9030e409e0712aef8995c206e3b603f7953eb59e4f80435dc05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74d12f1b47977c81ed219fad1125069b26af37dee7e230fe6738c111d423cf38",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-14T08:18:06Z",
    "title_canon_sha256": "7d291073d8e85a71cdc45e0c8199fc21b82b41b209a78a07e3b1adfbcdeefab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04280",
    "kind": "arxiv",
    "version": 3
  }
}