Pith Number

pith:7X4BSEYD

pith:2014:7X4BSEYDLVY7AKZHKLT5EHDSKJ

not attested not anchored not stored refs pending

The 1/k-Eulerian polynomials and k-Stirling permutations

Shi-Mei Ma, Toufik Mansour

arxiv:1409.6525 v1 · 2014-09-23 · 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{7X4BSEYDLVY7AKZHKLT5EHDSKJ}

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	2026-05-18T02:42:07.001451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf81913035d71f02b2752e7d21c725267b36929fcce8cc118134c0bd8494afe

Aliases

arxiv: 1409.6525 · arxiv_version: 1409.6525v1 · doi: 10.48550/arxiv.1409.6525 · pith_short_12: 7X4BSEYDLVY7 · pith_short_16: 7X4BSEYDLVY7AKZH · pith_short_8: 7X4BSEYD

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/7X4BSEYDLVY7AKZHKLT5EHDSKJ \
  | 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: fdf81913035d71f02b2752e7d21c725267b36929fcce8cc118134c0bd8494afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f5983d19b4d9db78cd5a4449421c820e36e2aa24c57554e271b2274f2faf1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-23T13:26:36Z",
    "title_canon_sha256": "106237871084c7767db040e22b808b26713a4a84ac27fe88c4cfb6933e805da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6525",
    "kind": "arxiv",
    "version": 1
  }
}