Pith Number

pith:NNKCKWBS

pith:2018:NNKCKWBSPNTKYXV33MGI4KJN3U

not attested not anchored not stored refs pending

The ascent-plateau statistics on Stirling permutations

Jun Ma, Shi-Mei Ma, Yeong-Nan Yeh

arxiv:1801.08056 v2 · 2018-01-24 · 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{NNKCKWBSPNTKYXV33MGI4KJN3U}

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	2026-05-18T00:25:07.022356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b542558327b66ac5ebbdb0c8e292ddd023d4dcc3a2500e5d9900dab3c4440ec

Aliases

arxiv: 1801.08056 · arxiv_version: 1801.08056v2 · doi: 10.48550/arxiv.1801.08056 · pith_short_12: NNKCKWBSPNTK · pith_short_16: NNKCKWBSPNTKYXV3 · pith_short_8: NNKCKWBS

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/NNKCKWBSPNTKYXV33MGI4KJN3U \
  | 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: 6b542558327b66ac5ebbdb0c8e292ddd023d4dcc3a2500e5d9900dab3c4440ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e1fa310fc073ae6042e6516a031aa7ea886439f36f920bf209a776ccb3543c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-24T16:14:01Z",
    "title_canon_sha256": "7bc0cb13974fde91d55b1c5fc71763d9eea95a701f85b04d29b82bdc23f5f222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08056",
    "kind": "arxiv",
    "version": 2
  }
}