Pith Number

pith:WAJ3BUL4

pith:2014:WAJ3BUL42MTY6S2E6ODNG4KQWP

not attested not anchored not stored refs pending

Patterns in random permutations avoiding the pattern 132

Svante Janson

arxiv:1401.5679 v1 · 2014-01-22 · math.PR · 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{WAJ3BUL42MTY6S2E6ODNG4KQWP}

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	2026-05-18T01:14:09.580541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b013b0d17cd3278f4b44f386d37150b3ff71ab38daed663a93d7ed468bd2fdfa

Aliases

arxiv: 1401.5679 · arxiv_version: 1401.5679v1 · doi: 10.48550/arxiv.1401.5679 · pith_short_12: WAJ3BUL42MTY · pith_short_16: WAJ3BUL42MTY6S2E · pith_short_8: WAJ3BUL4

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/WAJ3BUL42MTY6S2E6ODNG4KQWP \
  | 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: b013b0d17cd3278f4b44f386d37150b3ff71ab38daed663a93d7ed468bd2fdfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea46433caf9da5b3368fd9100244b773fc0a136938bfca4d548ab66fb723dc88",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-22T14:12:08Z",
    "title_canon_sha256": "3d6095d962fa1f246e52a8844ced755047ae207282449a95bae56bde73435559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5679",
    "kind": "arxiv",
    "version": 1
  }
}