Pith Number

pith:3OSIFVWO

pith:2005:3OSIFVWOAQG7B2EQN2MXIE3CCW

not attested not anchored not stored refs pending

On the Wilf-Stanley limit of 4231-avoiding permutations and a conjecture of Arratia

A. Rechnitzer, M. Elder, M. H. Albert, M. Zabrocki, P. Westcott

arxiv:math/0502504 v1 · 2005-02-23 · 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{3OSIFVWOAQG7B2EQN2MXIE3CCW}

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	2026-05-18T03:55:35.892515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba482d6ce040df0e8906e997413621589832d050ed829d98d2e08910124fae8

Aliases

arxiv: math/0502504 · arxiv_version: math/0502504v1 · doi: 10.48550/arxiv.math/0502504 · pith_short_12: 3OSIFVWOAQG7 · pith_short_16: 3OSIFVWOAQG7B2EQ · pith_short_8: 3OSIFVWO

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/3OSIFVWOAQG7B2EQN2MXIE3CCW \
  | 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: dba482d6ce040df0e8906e997413621589832d050ed829d98d2e08910124fae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7de50288a986d33cd6042b682d22120b36db8f7d10b026fff66b42aab4c663",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-02-23T23:37:48Z",
    "title_canon_sha256": "a1cf53d505c75afcd96c3c442d0e4eca1d8363aa3b799b91500a8117413ddcd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502504",
    "kind": "arxiv",
    "version": 1
  }
}