Pith Number

pith:SVMHLUE7

pith:2015:SVMHLUE7O6B3QYZIBF6I6OVRK7

not attested not anchored not stored refs pending

Enumeration of a dual set of Stirling permutations by their alternating runs

Hai-Na Wang, Shi-Mei Ma

arxiv:1506.08716 v2 · 2015-06-29 · 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{SVMHLUE7O6B3QYZIBF6I6OVRK7}

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	2026-05-17T23:53:13.738457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

955875d09f7783b86328097c8f3ab157ce71a0274abf2dc80ffc214029d5a641

Aliases

arxiv: 1506.08716 · arxiv_version: 1506.08716v2 · doi: 10.48550/arxiv.1506.08716 · pith_short_12: SVMHLUE7O6B3 · pith_short_16: SVMHLUE7O6B3QYZI · pith_short_8: SVMHLUE7

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/SVMHLUE7O6B3QYZIBF6I6OVRK7 \
  | 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: 955875d09f7783b86328097c8f3ab157ce71a0274abf2dc80ffc214029d5a641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3906f61014e5c3f8555a74bb73341201ce488ab775f0b3e3b9dcfe0049a1456d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-29T16:19:40Z",
    "title_canon_sha256": "bff1792d07f800b07fae7fc8665706c8d9f53e5db7327f386685d5fe9b99114d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08716",
    "kind": "arxiv",
    "version": 2
  }
}