Pith Number

pith:UMPQVVQG

pith:2010:UMPQVVQG4QHQZN4OFK2XOALA62

not attested not anchored not stored refs pending

A categorification of the Casimir of quantum sl(2)

Aaron D. Lauda, Anna Beliakova, Mikhail Khovanov

arxiv:1008.0370 v2 · 2010-08-02 · math.QA · 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{UMPQVVQG4QHQZN4OFK2XOALA62}

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	2026-05-18T03:53:29.666185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31f0ad606e40f0cb78e2ab5770160f6883ab43867cabbabec2dc55c3d7192c0

Aliases

arxiv: 1008.0370 · arxiv_version: 1008.0370v2 · doi: 10.48550/arxiv.1008.0370 · pith_short_12: UMPQVVQG4QHQ · pith_short_16: UMPQVVQG4QHQZN4O · pith_short_8: UMPQVVQG

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/UMPQVVQG4QHQZN4OFK2XOALA62 \
  | 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: a31f0ad606e40f0cb78e2ab5770160f6883ab43867cabbabec2dc55c3d7192c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd6fd201c1f08e16110d78ad2d7bd2f77f83cd4550db8e1e9484917b8a9ff03",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-02T18:26:44Z",
    "title_canon_sha256": "4f6caf114df9e125c82dab0e86a6e38512253331cd5c92287ae824b636991942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0370",
    "kind": "arxiv",
    "version": 2
  }
}