Pith Number

pith:Y744JPCN

pith:2011:Y744JPCNGGJI3JWPXGLL6XAHBB

not attested not anchored not stored refs pending

A note on super Catalan numbers

Akihiro Munemasa, Evangelos Georgiadis, Hajime Tanaka

arxiv:1101.1579 v4 · 2011-01-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y744JPCNGGJI3JWPXGLL6XAHBB}

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	2026-05-18T03:44:24.704055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f9c4bc4d31928da6cfb996bf5c07087d281875ac66b02ff98c108ade6deadc

Aliases

arxiv: 1101.1579 · arxiv_version: 1101.1579v4 · doi: 10.48550/arxiv.1101.1579 · pith_short_12: Y744JPCNGGJI · pith_short_16: Y744JPCNGGJI3JWP · pith_short_8: Y744JPCN

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/Y744JPCNGGJI3JWPXGLL6XAHBB \
  | 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: c7f9c4bc4d31928da6cfb996bf5c07087d281875ac66b02ff98c108ade6deadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb55c391cd890b2be9f960d3c885dea8c972f4e111237ad029d709a718dbf329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-08T09:27:26Z",
    "title_canon_sha256": "17c5af702bde58293164d7762ed11ec7e5d48d480a58826ae295d9dfcc896744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1579",
    "kind": "arxiv",
    "version": 4
  }
}