Pith Number

pith:DZ4TZBV5

pith:1997:DZ4TZBV54ORCTWMFFDY6OIOGRA

not attested not anchored not stored refs pending

A Combinatorial proof of a result of Hetyei and Reiner on Foata-Strehl type permutation trees

Mikl\'os B\'ona

arxiv:math/9703209 v1 · 1997-03-25 · 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{DZ4TZBV54ORCTWMFFDY6OIOGRA}

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	2026-05-18T01:05:37.065294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e793c86bde3a229d98528f1e721c6883dfa2b9e0597c626dcd4899d97e1f6cf

Aliases

arxiv: math/9703209 · arxiv_version: math/9703209v1 · doi: 10.48550/arxiv.math/9703209 · pith_short_12: DZ4TZBV54ORC · pith_short_16: DZ4TZBV54ORCTWMF · pith_short_8: DZ4TZBV5

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/DZ4TZBV54ORCTWMFFDY6OIOGRA \
  | 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: 1e793c86bde3a229d98528f1e721c6883dfa2b9e0597c626dcd4899d97e1f6cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "568ea647fa42c38a8d02369038b15111a1503d9b84b57a7dbf53ac9a3d666930",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1997-03-25T00:00:00Z",
    "title_canon_sha256": "036a5c37917f3224671479e0a10b9488b5fe2bd3a43f69feccbe4cca9af47091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9703209",
    "kind": "arxiv",
    "version": 1
  }
}