Pith Number

pith:IRZA7WUN

pith:2014:IRZA7WUNOR7AI3PTMWMUAAER2F

not attested not anchored not stored refs pending

The Multiplication Group of an AG-group

Asif Ali, Imtiaz Ahmad, Muhammad Shah, Volker Sorge

arxiv:1403.0507 v1 · 2014-03-03 · 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{IRZA7WUNOR7AI3PTMWMUAAER2F}

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	2026-05-18T01:12:18.825081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44720fda8d747e046df36599400091d179880050235af610b48f0b5080c3ed84

Aliases

arxiv: 1403.0507 · arxiv_version: 1403.0507v1 · doi: 10.48550/arxiv.1403.0507 · pith_short_12: IRZA7WUNOR7A · pith_short_16: IRZA7WUNOR7AI3PT · pith_short_8: IRZA7WUN

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/IRZA7WUNOR7AI3PTMWMUAAER2F \
  | 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: 44720fda8d747e046df36599400091d179880050235af610b48f0b5080c3ed84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "765ed1ef50f1cc3d1664584ea7e0f0101407bf595e4536eb1c72f3705b5ec100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-03T18:16:38Z",
    "title_canon_sha256": "ffafc38d6a71bd5db250e43e10307905b9dc35412f9114930892761cff18d347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0507",
    "kind": "arxiv",
    "version": 1
  }
}