Pith Number

pith:4SQNV5KW

pith:1997:4SQNV5KWEW4NAUGFORDQDNDO3J

not attested not anchored not stored refs pending

Exact enumeration of 1342-avoiding permutations: A close link with labeled trees and planar maps

Mikl\'os B\'ona

arxiv:math/9702223 v1 · 1997-02-11 · 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{4SQNV5KWEW4NAUGFORDQDNDO3J}

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	2026-05-18T01:05:37.137916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a0daf55625b8d050c5744701b46eda70679b91e18f82fb004cf62e72bde302

Aliases

arxiv: math/9702223 · arxiv_version: math/9702223v1 · doi: 10.48550/arxiv.math/9702223 · pith_short_12: 4SQNV5KWEW4N · pith_short_16: 4SQNV5KWEW4NAUGF · pith_short_8: 4SQNV5KW

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/4SQNV5KWEW4NAUGFORDQDNDO3J \
  | 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: e4a0daf55625b8d050c5744701b46eda70679b91e18f82fb004cf62e72bde302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a9e6d50254cae728cad666ae0c6eab6fb77f5974a7e5f9a32301f9f7c5d48d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1997-02-11T00:00:00Z",
    "title_canon_sha256": "ef4b05a03428a37effd5919b2d36163291b487e059fc51494b4fa62c169439f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9702223",
    "kind": "arxiv",
    "version": 1
  }
}