Pith Number

pith:Z3BJOSWY

pith:2012:Z3BJOSWYBOZFPGSQPON4NGRTFV

not attested not anchored not stored refs pending

Operational formulae for the complex Hermite polynomials

Allal Ghanmi

arxiv:1211.5746 v3 · 2012-11-25 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3BJOSWYBOZFPGSQPON4NGRTFV}

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	2026-05-18T03:22:05.849800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec2974ad80bb2579a507b9bc69a332d5b0ec5f4a5efe8c50b4923c5860ccf3b

Aliases

arxiv: 1211.5746 · arxiv_version: 1211.5746v3 · doi: 10.48550/arxiv.1211.5746 · pith_short_12: Z3BJOSWYBOZF · pith_short_16: Z3BJOSWYBOZFPGSQ · pith_short_8: Z3BJOSWY

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/Z3BJOSWYBOZFPGSQPON4NGRTFV \
  | 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: cec2974ad80bb2579a507b9bc69a332d5b0ec5f4a5efe8c50b4923c5860ccf3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d70fb4e5ce8829645844f15fd79515c0d07e8988b7143268ca87a6866696f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-25T09:30:16Z",
    "title_canon_sha256": "becdb8a4e62b87e498ed0f7af693d44660aa7852fa87179da0d89e3af2eb13fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5746",
    "kind": "arxiv",
    "version": 3
  }
}