Pith Number

pith:LXGORVF5

pith:2010:LXGORVF5CUJQNEXSM4L2N43G6O

not attested not anchored not stored refs pending

q-deformed harmonic and Clifford analysis and the q-Hermite and Laguerre polynomials

Frank Sommen, Kevin Coulembier

arxiv:1002.4987 v1 · 2010-02-26 · 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{LXGORVF5CUJQNEXSM4L2N43G6O}

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	2026-05-18T02:08:48.926732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dcce8d4bd15130692f26717a6f366f39c34be225b608aa7ff88ef738f5e13e9

Aliases

arxiv: 1002.4987 · arxiv_version: 1002.4987v1 · doi: 10.48550/arxiv.1002.4987 · pith_short_12: LXGORVF5CUJQ · pith_short_16: LXGORVF5CUJQNEXS · pith_short_8: LXGORVF5

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/LXGORVF5CUJQNEXSM4L2N43G6O \
  | 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: 5dcce8d4bd15130692f26717a6f366f39c34be225b608aa7ff88ef738f5e13e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89f733a595a48997ca0c9328416bb7d2c65283dd0b0882a701259bc0057d96f4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-26T13:29:51Z",
    "title_canon_sha256": "3a9259b40c3ae6f60a7c6b89d9a2e15657a92ba61b48048a156baf5b09b5b013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4987",
    "kind": "arxiv",
    "version": 1
  }
}