Pith Number

pith:YKR4EAZ4

pith:2010:YKR4EAZ4NQMLGVXYXZJWI7PEMO

not attested not anchored not stored refs pending

On the structure of (co-Frobenius) Hopf algebras

Juan Cuadra, Nicolas Andruskiewitsch

arxiv:1011.3457 v3 · 2010-11-15 · math.QA · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKR4EAZ4NQMLGVXYXZJWI7PEMO}

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	2026-05-18T03:50:09.340385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a3c2033c6c18b356f8be53647de463adae2246a28f661a5aff7b38b3a0a4be

Aliases

arxiv: 1011.3457 · arxiv_version: 1011.3457v3 · doi: 10.48550/arxiv.1011.3457 · pith_short_12: YKR4EAZ4NQML · pith_short_16: YKR4EAZ4NQMLGVXY · pith_short_8: YKR4EAZ4

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/YKR4EAZ4NQMLGVXYXZJWI7PEMO \
  | 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: c2a3c2033c6c18b356f8be53647de463adae2246a28f661a5aff7b38b3a0a4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b4f4f81b44c21352def393c037b6091714e19877f2967804591882374b3571",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-11-15T17:15:18Z",
    "title_canon_sha256": "1ce56a4b54f590e3540a2607663a2f270bd5e33786f66fc9a2ccfd113048026d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3457",
    "kind": "arxiv",
    "version": 3
  }
}