Pith Number

pith:TE23KRE7

pith:2025:TE23KRE72ADHXP4X2IY3ELXUDK

not attested not anchored not stored refs pending

Notes on Divisibility of Catalan Numbers

Volkan Yildiz

arxiv:2502.04619 v1 · 2025-02-07 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TE23KRE72ADHXP4X2IY3ELXUDK}

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	2026-07-05T10:10:54.389826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9935b5449fd0067bbf97d231b22ef41a9371f7abbc06c8c2afffa0ff0a823451

Aliases

arxiv: 2502.04619 · arxiv_version: 2502.04619v1 · doi: 10.48550/arxiv.2502.04619 · pith_short_12: TE23KRE72ADH · pith_short_16: TE23KRE72ADHXP4X · pith_short_8: TE23KRE7

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/TE23KRE72ADHXP4X2IY3ELXUDK \
  | 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: 9935b5449fd0067bbf97d231b22ef41a9371f7abbc06c8c2afffa0ff0a823451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33566a40001af85d711b757dda1ad524b9c1c0a1dc1a7b38fac670b064c7810a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-07T02:32:10Z",
    "title_canon_sha256": "01c2c5b071b58a94c12d9ea878cdaa098f1e348c6a2ae79c5e21cfc57cb546d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04619",
    "kind": "arxiv",
    "version": 1
  }
}