Pith Number

pith:EIZLLJJY

pith:2014:EIZLLJJYJLR7BX7P65MFGRYNT5

not attested not anchored not stored refs pending

The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states

Alexei Zhedanov, Hiroshi Miki, Luc Vinet, Vincent X. Genest

arxiv:1401.7901 v2 · 2014-01-30 · 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{EIZLLJJYJLR7BX7P65MFGRYNT5}

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	2026-05-18T01:44:54.451634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2232b5a5384ae3f0dfeff75853470d9f41bf51fa35537fc5d5af900ae88608fc

Aliases

arxiv: 1401.7901 · arxiv_version: 1401.7901v2 · doi: 10.48550/arxiv.1401.7901 · pith_short_12: EIZLLJJYJLR7 · pith_short_16: EIZLLJJYJLR7BX7P · pith_short_8: EIZLLJJY

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/EIZLLJJYJLR7BX7P65MFGRYNT5 \
  | 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: 2232b5a5384ae3f0dfeff75853470d9f41bf51fa35537fc5d5af900ae88608fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7972e8d113a6206943a5d35236feaaed1fbc02f49cd541acca0b276961b0f0a7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-30T16:09:38Z",
    "title_canon_sha256": "590848c712abe818f3bf76065196ebb18810f84512ff679986fe54ef69d36793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7901",
    "kind": "arxiv",
    "version": 2
  }
}