Pith Number

pith:UW33SMHU

pith:2019:UW33SMHUTPCANWD7KMJ7UZTXKK

not attested not anchored not stored refs pending

Most principal permutation classes have nonrational generating functions

Mikl\'os B\'ona

arxiv:1901.08506 v4 · 2019-01-24 · 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{UW33SMHUTPCANWD7KMJ7UZTXKK}

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	2026-05-17T23:44:29.517146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5b7b930f49bc406d87f5313fa667752b8d9019021a5ad5a9884d3f630bc6578

Aliases

arxiv: 1901.08506 · arxiv_version: 1901.08506v4 · doi: 10.48550/arxiv.1901.08506 · pith_short_12: UW33SMHUTPCA · pith_short_16: UW33SMHUTPCANWD7 · pith_short_8: UW33SMHU

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/UW33SMHUTPCANWD7KMJ7UZTXKK \
  | 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: a5b7b930f49bc406d87f5313fa667752b8d9019021a5ad5a9884d3f630bc6578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "396ec985c01ba42e780b36d1faf9b967ee08b3ebc5b673999072865f691cbfd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-24T17:03:07Z",
    "title_canon_sha256": "e151ef16f9bb553423e0f0dcbdcf01a4829615489c8f69c5020d095ac39bd910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08506",
    "kind": "arxiv",
    "version": 4
  }
}