Pith Number

pith:Z4AP6XIV

pith:2013:Z4AP6XIV3JEOWBFN7MN4EC5ADN

not attested not anchored not stored refs pending

A classification of nilpotent 3-BCI groups

Hiroki Koike, Istv\'an Kov\'acs

arxiv:1308.6812 v1 · 2013-08-30 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4AP6XIV3JEOWBFN7MN4EC5ADN}

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	2026-05-18T03:14:30.836101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf00ff5d15da48eb04adfb1bc20ba01b4f331f9c759209ccbb66cafbec94948f

Aliases

arxiv: 1308.6812 · arxiv_version: 1308.6812v1 · doi: 10.48550/arxiv.1308.6812 · pith_short_12: Z4AP6XIV3JEO · pith_short_16: Z4AP6XIV3JEOWBFN · pith_short_8: Z4AP6XIV

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/Z4AP6XIV3JEOWBFN7MN4EC5ADN \
  | 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: cf00ff5d15da48eb04adfb1bc20ba01b4f331f9c759209ccbb66cafbec94948f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee8b67828acc86ab3522b43275fa360261db21ed047ba968a3c855ada16f3acd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-30T17:58:52Z",
    "title_canon_sha256": "6ebecfc092b59de2274a9dd5b64a90c56261ae8c84ecf41a45464f76e8845ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6812",
    "kind": "arxiv",
    "version": 1
  }
}