Pith Number

pith:PKPYJSRM

pith:2013:PKPYJSRMGWFJBAV3PBEXJK2AZP

not attested not anchored not stored refs pending

Positivity properties of Jacobi-Stirling numbers and generalized Ramanujan polynomials

Jiang Zeng, Zhicong Lin

arxiv:1309.4237 v2 · 2013-09-17 · 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{PKPYJSRMGWFJBAV3PBEXJK2AZP}

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	2026-05-18T03:10:13.985404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9f84ca2c358a9082bb784974ab40cbce6807ca8fc8812dea95cf5d0e0c524a

Aliases

arxiv: 1309.4237 · arxiv_version: 1309.4237v2 · doi: 10.48550/arxiv.1309.4237 · pith_short_12: PKPYJSRMGWFJ · pith_short_16: PKPYJSRMGWFJBAV3 · pith_short_8: PKPYJSRM

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/PKPYJSRMGWFJBAV3PBEXJK2AZP \
  | 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: 7a9f84ca2c358a9082bb784974ab40cbce6807ca8fc8812dea95cf5d0e0c524a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80547c64a4c2b0099c59b58ac8e285c7790b831d95d07e1b096c8942cba44fb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-17T09:13:04Z",
    "title_canon_sha256": "504f53a91d0eaee319f2d6fb30b46d17d1d535480cffa0c94943441a1d6e4637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4237",
    "kind": "arxiv",
    "version": 2
  }
}