Pith Number

pith:O2N2KMLG

pith:2012:O2N2KMLGINTEBRS2KPH3LOJU7J

not attested not anchored not stored refs pending

Categorification of the Catalan monoid

Anna-Louise Grensing, Volodymyr Mazorchuk

arxiv:1211.2597 v2 · 2012-11-12 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2N2KMLGINTEBRS2KPH3LOJU7J}

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	2026-05-18T00:44:52.992160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769ba53166436640c65a53cfb5b934fa5d7e67bcbd7d9363528e458130de7b41

Aliases

arxiv: 1211.2597 · arxiv_version: 1211.2597v2 · doi: 10.48550/arxiv.1211.2597 · pith_short_12: O2N2KMLGINTE · pith_short_16: O2N2KMLGINTEBRS2 · pith_short_8: O2N2KMLG

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/O2N2KMLGINTEBRS2KPH3LOJU7J \
  | 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: 769ba53166436640c65a53cfb5b934fa5d7e67bcbd7d9363528e458130de7b41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65531b2113a0899ba702303d3a9ca81f59430056d4a074c0596bddead13b2ca9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-12T12:55:21Z",
    "title_canon_sha256": "896d7f20ea97c78b10ba89955f1e1718b7102bd2b001bb0ce4d5751239e4de33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2597",
    "kind": "arxiv",
    "version": 2
  }
}