Pith Number

pith:GV57PQPG

pith:2016:GV57PQPGCEITSEBIEJJSPP2VYW

not attested not anchored not stored refs pending

Normal Subgroup Based Power Graph of a finite Group

A. K. Bhuniya, Sudip Bera

arxiv:1601.04431 v1 · 2016-01-18 · 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{GV57PQPGCEITSEBIEJJSPP2VYW}

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	2026-05-18T01:22:45.071486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

357bf7c1e61111391028225327bf55c589583793f5d2e813740a368b97c93d10

Aliases

arxiv: 1601.04431 · arxiv_version: 1601.04431v1 · doi: 10.48550/arxiv.1601.04431 · pith_short_12: GV57PQPGCEIT · pith_short_16: GV57PQPGCEITSEBI · pith_short_8: GV57PQPG

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/GV57PQPGCEITSEBIEJJSPP2VYW \
  | 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: 357bf7c1e61111391028225327bf55c589583793f5d2e813740a368b97c93d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ebedaf792634ed51df6113d506835ca71e3690a0c312d19084614de8a177420",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-18T09:05:06Z",
    "title_canon_sha256": "6996a2b37d0115da881ab5037701574bc1c473483256fac0107a4342f30cc5c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04431",
    "kind": "arxiv",
    "version": 1
  }
}