Pith Number

pith:376G2V5P

pith:2015:376G2V5PYRNMON4N7JXDQLRERB

not attested not anchored not stored refs pending

A new interpretation of Catalan numbers

Anthony Joseph, Polyxeni Lamprou

arxiv:1512.00406 v1 · 2015-12-01 · math.CO · 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{376G2V5PYRNMON4N7JXDQLRERB}

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	2026-05-18T01:25:31.992691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dffc6d57afc45ac7378dfa6e382e24884ddb10ee0e4f9ad8b769fe68c1cd229f

Aliases

arxiv: 1512.00406 · arxiv_version: 1512.00406v1 · doi: 10.48550/arxiv.1512.00406 · pith_short_12: 376G2V5PYRNM · pith_short_16: 376G2V5PYRNMON4N · pith_short_8: 376G2V5P

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/376G2V5PYRNMON4N7JXDQLRERB \
  | 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: dffc6d57afc45ac7378dfa6e382e24884ddb10ee0e4f9ad8b769fe68c1cd229f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eecd4b3f85c9776b325e0e5a23bbb47b0f5e0e668f3ea679dc0e95a4e0a192a9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-01T19:51:07Z",
    "title_canon_sha256": "146556352193c39f532763731894bbdd4114047e6fa12d2037e2afb761600a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00406",
    "kind": "arxiv",
    "version": 1
  }
}