Pith Number

pith:NGPWL3IC

pith:1996:NGPWL3ICCOPEZQ5VXU66WIWGVB

not attested not anchored not stored refs pending

Some definition of the Artin exponent of finite groups

K. K. Nwabueze

arxiv:math/9611212 v1 · 1996-11-11 · 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{NGPWL3ICCOPEZQ5VXU66WIWGVB}

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	2026-05-18T01:05:46.917393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699f65ed02139e4cc3b5bd3deb22c6a87df183b98a0503a8268c196fe7e3dabe

Aliases

arxiv: math/9611212 · arxiv_version: math/9611212v1 · doi: 10.48550/arxiv.math/9611212 · pith_short_12: NGPWL3ICCOPE · pith_short_16: NGPWL3ICCOPEZQ5V · pith_short_8: NGPWL3IC

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/NGPWL3ICCOPEZQ5VXU66WIWGVB \
  | 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: 699f65ed02139e4cc3b5bd3deb22c6a87df183b98a0503a8268c196fe7e3dabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5009e188ae8003ff6ee6fede90813b112722196ef9abec4be6a7b9e31fccedef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1996-11-11T00:00:00Z",
    "title_canon_sha256": "8097d6048e74b2477671cd66bd4895f74ec464f2fcf7d365c921cc1669316f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9611212",
    "kind": "arxiv",
    "version": 1
  }
}