Pith Number

pith:2ZTWTMUV

pith:2013:2ZTWTMUVC6JCCZB4KEZCNSDSZ5

not attested not anchored not stored refs pending

Connected Hopf algebras of Gelfand-Kirillov dimension four

D.-G. Wang, G. Zhuang, J.J. Zhang

arxiv:1302.2270 v1 · 2013-02-09 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZTWTMUVC6JCCZB4KEZCNSDSZ5}

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	2026-05-18T03:34:01.816411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66769b295179221643c513226c872cf4bb0b049d826efe9524c2bcc3a6dede5

Aliases

arxiv: 1302.2270 · arxiv_version: 1302.2270v1 · doi: 10.48550/arxiv.1302.2270 · pith_short_12: 2ZTWTMUVC6JC · pith_short_16: 2ZTWTMUVC6JCCZB4 · pith_short_8: 2ZTWTMUV

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/2ZTWTMUVC6JCCZB4KEZCNSDSZ5 \
  | 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: d66769b295179221643c513226c872cf4bb0b049d826efe9524c2bcc3a6dede5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa39465ab76dc085f9a451d994f1dbc283e277e213fc926f266b5992ef3a7a83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-02-09T21:07:37Z",
    "title_canon_sha256": "7b4330187d4df37c22f18a0b2bc1fa468c4064c5b1d9e32ef0a3e06a6305a75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2270",
    "kind": "arxiv",
    "version": 1
  }
}