Pith Number

pith:V7KDZV3B

pith:2015:V7KDZV3B3FM2LIKLB32WTOMBSM

not attested not anchored not stored refs pending

The quaternion group has ghost number three

David J. Green, Fatma Altunbulak Aksu

arxiv:1510.09078 v2 · 2015-10-30 · 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{V7KDZV3B3FM2LIKLB32WTOMBSM}

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	2026-05-18T00:47:29.453900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd43cd761d959a5a14b0ef569b981932e3e5b2163b97bd903ea33e3bdb204ff

Aliases

arxiv: 1510.09078 · arxiv_version: 1510.09078v2 · doi: 10.48550/arxiv.1510.09078 · pith_short_12: V7KDZV3B3FM2 · pith_short_16: V7KDZV3B3FM2LIKL · pith_short_8: V7KDZV3B

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/V7KDZV3B3FM2LIKLB32WTOMBSM \
  | 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: afd43cd761d959a5a14b0ef569b981932e3e5b2163b97bd903ea33e3bdb204ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73d49a932e4f8e6c9f9c825494bb5c94ca37e2a263e5ec39854ec6032868bed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-30T13:14:04Z",
    "title_canon_sha256": "3603234f1aaa47e1b764edbe6a41d770ff38627a8e72a4b498062acfb5c9ed15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09078",
    "kind": "arxiv",
    "version": 2
  }
}