Pith Number

pith:A42A2G3M

pith:2011:A42A2G3MYFNHUYWBMZZVCJZU63

not attested not anchored not stored refs pending

About sum rules for Gould-Hopper polynomials

C. Vignat, O. L\'ev\^eque

arxiv:1103.5168 v1 · 2011-03-26 · 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{A42A2G3MYFNHUYWBMZZVCJZU63}

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	2026-05-18T04:25:38.497758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07340d1b6cc15a7a62c16673512734f6dbd1c1b159eca1e09d4cf0dcac137f81

Aliases

arxiv: 1103.5168 · arxiv_version: 1103.5168v1 · doi: 10.48550/arxiv.1103.5168 · pith_short_12: A42A2G3MYFNH · pith_short_16: A42A2G3MYFNHUYWB · pith_short_8: A42A2G3M

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/A42A2G3MYFNHUYWBMZZVCJZU63 \
  | 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: 07340d1b6cc15a7a62c16673512734f6dbd1c1b159eca1e09d4cf0dcac137f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78511e2dcf51367708a0e4168356763f0c20b4b04d09c26342b640534152d9fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-26T21:51:46Z",
    "title_canon_sha256": "96eec9bce631dd475a5fb8ddaa6caced75d418210b21d22d4e74101366728a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5168",
    "kind": "arxiv",
    "version": 1
  }
}