Pith Number

pith:R6YF6MKL

pith:2012:R6YF6MKLHA4BQ2DQOMBCHYVCMM

not attested not anchored not stored refs pending

Jacobi-Stirling polynomials and $P$-partitions

Ira M. Gessel, Jiang Zeng, Zhicong Lin

arxiv:1201.0622 v2 · 2012-01-03 · 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{R6YF6MKLHA4BQ2DQOMBCHYVCMM}

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	2026-05-18T03:52:53.136463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb05f314b3838186870730223e2a2631544c46d6869fe7de7a9f1b4897a56a6

Aliases

arxiv: 1201.0622 · arxiv_version: 1201.0622v2 · doi: 10.48550/arxiv.1201.0622 · pith_short_12: R6YF6MKLHA4B · pith_short_16: R6YF6MKLHA4BQ2DQ · pith_short_8: R6YF6MKL

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/R6YF6MKLHA4BQ2DQOMBCHYVCMM \
  | 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: 8fb05f314b3838186870730223e2a2631544c46d6869fe7de7a9f1b4897a56a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f787bf3ddd755a18a51de629c1eaa17fe72ed289099837c8914105989d34b64e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-03T13:05:41Z",
    "title_canon_sha256": "bf5a9d396ca43a38447f20ed4c9e2e512b7e46b0f0c09659e7861b2c65b539d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0622",
    "kind": "arxiv",
    "version": 2
  }
}