Pith Number

pith:JY3V2LSG

pith:2016:JY3V2LSGXF7CUUONDU2CEO4YOB

not attested not anchored not stored refs pending

The bijection between exceptional subcategories and non-crossing partitions

Anningzhe Gao

arxiv:1601.07672 v1 · 2016-01-28 · 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{JY3V2LSGXF7CUUONDU2CEO4YOB}

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	2026-05-18T01:21:42.440699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e375d2e46b97e2a51cd1d34223b98705eb04d48e3c500524ad1f6314cfaa76e

Aliases

arxiv: 1601.07672 · arxiv_version: 1601.07672v1 · doi: 10.48550/arxiv.1601.07672 · pith_short_12: JY3V2LSGXF7C · pith_short_16: JY3V2LSGXF7CUUON · pith_short_8: JY3V2LSG

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/JY3V2LSGXF7CUUONDU2CEO4YOB \
  | 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: 4e375d2e46b97e2a51cd1d34223b98705eb04d48e3c500524ad1f6314cfaa76e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e887aa925de5d810eb7416f5942eef56fa063d84b47bb4934c4ab3eed3977420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-01-28T07:25:19Z",
    "title_canon_sha256": "483f2a3f2a6aa6f3f30ccb545bd7d4ba2c37fc4127b25998be30b7f7deba5a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07672",
    "kind": "arxiv",
    "version": 1
  }
}