Pith Number

pith:CJWZV3AQ

pith:2014:CJWZV3AQTSLYQJPHTOBARPZKLS

not attested not anchored not stored refs pending

History of Catalan numbers

Igor Pak

arxiv:1408.5711 v2 · 2014-08-25 · math.HO · 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{CJWZV3AQTSLYQJPHTOBARPZKLS}

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	2026-05-18T02:44:07.987864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

126d9aec109c978825e79b8208bf2a5c807185e9a9b90d63e5567cd97c17e7ef

Aliases

arxiv: 1408.5711 · arxiv_version: 1408.5711v2 · doi: 10.48550/arxiv.1408.5711 · pith_short_12: CJWZV3AQTSLY · pith_short_16: CJWZV3AQTSLYQJPH · pith_short_8: CJWZV3AQ

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/CJWZV3AQTSLYQJPHTOBARPZKLS \
  | 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: 126d9aec109c978825e79b8208bf2a5c807185e9a9b90d63e5567cd97c17e7ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea46719b4a3caadf070f2c10f669b29bd2bd54c0c68ef118a2c1743a8ece0a2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2014-08-25T10:15:42Z",
    "title_canon_sha256": "554855b78720f7d531ba9ff1d939f71562e6417208d8bf2ea317767670808101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5711",
    "kind": "arxiv",
    "version": 2
  }
}