Pith Number

pith:DJ5BA5CU

pith:2012:DJ5BA5CUEMDHRIJIQ3OHLSINRS

not attested not anchored not stored refs pending

Multivariate Fuss-Narayana polynomials and their application to random matrices

Rafal Salapata, Romuald Lenczewski

arxiv:1210.3063 v1 · 2012-10-10 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJ5BA5CUEMDHRIJIQ3OHLSINRS}

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	2026-05-18T03:21:10.526523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a7a107454230678a12886dc75c90d8c9522838240de787153800a6b2a0d6e4d

Aliases

arxiv: 1210.3063 · arxiv_version: 1210.3063v1 · doi: 10.48550/arxiv.1210.3063 · pith_short_12: DJ5BA5CUEMDH · pith_short_16: DJ5BA5CUEMDHRIJI · pith_short_8: DJ5BA5CU

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/DJ5BA5CUEMDHRIJIQ3OHLSINRS \
  | 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: 1a7a107454230678a12886dc75c90d8c9522838240de787153800a6b2a0d6e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f6ac33aa34d3caefd2c99dcae197f6a99ec9fa8305c37d19ddaf33633dd945",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-10T21:12:00Z",
    "title_canon_sha256": "1f4d4df5b22f8b79f2fe9dcd4eb7e2890aee6f5c6b0ab868c2ae192c8ccdb4d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3063",
    "kind": "arxiv",
    "version": 1
  }
}