Pith Number

pith:OU546ZDY

pith:2012:OU546ZDY6RDQYV3RBSGCD6YGOC

not attested not anchored not stored refs pending

The Coalgebra Automorphism Group of Hopf Algebra $k_q[x, x^{-1}, y]$

Hui-Xiang Chen

arxiv:1207.5133 v1 · 2012-07-21 · 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{OU546ZDY6RDQYV3RBSGCD6YGOC}

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	2026-05-18T03:50:24.463132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

753bcf6478f4470c57710c8c21fb0670b5ba48b72b54f56e577c406bd8367273

Aliases

arxiv: 1207.5133 · arxiv_version: 1207.5133v1 · doi: 10.48550/arxiv.1207.5133 · pith_short_12: OU546ZDY6RDQ · pith_short_16: OU546ZDY6RDQYV3R · pith_short_8: OU546ZDY

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/OU546ZDY6RDQYV3RBSGCD6YGOC \
  | 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: 753bcf6478f4470c57710c8c21fb0670b5ba48b72b54f56e577c406bd8367273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1155f4da559c4c5f673516942c87768e0de145adbea3c622f9f78e0c52973e4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-21T13:20:35Z",
    "title_canon_sha256": "76e17fe7ba18c66656bdf70644bcb71f1799dcdc2741136511e19a30d8cd350f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5133",
    "kind": "arxiv",
    "version": 1
  }
}