Pith Number

pith:4LFZSBOU

pith:2012:4LFZSBOUXIZDSWLPAADH6CPIPI

not attested not anchored not stored refs pending

Finite dimensional Nichols algebras over finite cyclic groups

Shouchuan Zhang, Weicai Wu, Yao-Zhong Zhang

arxiv:1201.2064 v3 · 2012-01-10 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LFZSBOUXIZDSWLPAADH6CPIPI}

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	2026-05-18T03:10:58.535801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cb9905d4ba3239596f00067f09e87a35f431b56ec1dd5c49e56d77dd501e46

Aliases

arxiv: 1201.2064 · arxiv_version: 1201.2064v3 · doi: 10.48550/arxiv.1201.2064 · pith_short_12: 4LFZSBOUXIZD · pith_short_16: 4LFZSBOUXIZDSWLP · pith_short_8: 4LFZSBOU

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/4LFZSBOUXIZDSWLPAADH6CPIPI \
  | 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: e2cb9905d4ba3239596f00067f09e87a35f431b56ec1dd5c49e56d77dd501e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6481a21d323d60f016542e90033d6d6c0ab8837b017096663c75ef940be328e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-10T14:44:11Z",
    "title_canon_sha256": "eecf6932d772b6c1fde64b22eb493b6a923f49c72cd9a2e7c929a9254b4bcc4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2064",
    "kind": "arxiv",
    "version": 3
  }
}