Pith Number

pith:N4J6RNUG

pith:2010:N4J6RNUGZMQFZCA4B3DWEC5T3V

not attested not anchored not stored refs pending

Probabilistic Representation of Bernoulli, Euler and Carlitz Hermite Polynomials

C. Vignat

arxiv:1009.2396 v2 · 2010-09-13 · 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{N4J6RNUGZMQFZCA4B3DWEC5T3V}

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	2026-05-18T04:37:32.858905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f13e8b686cb205c881c0ec7620bb3dd78ba2966335732dbabb377887685c445

Aliases

arxiv: 1009.2396 · arxiv_version: 1009.2396v2 · doi: 10.48550/arxiv.1009.2396 · pith_short_12: N4J6RNUGZMQF · pith_short_16: N4J6RNUGZMQFZCA4 · pith_short_8: N4J6RNUG

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/N4J6RNUGZMQFZCA4B3DWEC5T3V \
  | 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: 6f13e8b686cb205c881c0ec7620bb3dd78ba2966335732dbabb377887685c445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2938eb3e6ef14f6eb97f5045adb32cb4655579ba8a84679fdb95f544ce46140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-13T13:57:14Z",
    "title_canon_sha256": "2e0b571105570cb2f292b8f8827ccdab7855cd9d683b4b6958a721e49424b88c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2396",
    "kind": "arxiv",
    "version": 2
  }
}