Pith Number

pith:QKNSR6NT

pith:2012:QKNSR6NTHHT6VV663LGNLA3NON

not attested not anchored not stored refs pending

Operator orderings and Meixner-Pollaczek polynomials

Genki Shibukawa

arxiv:1211.6646 v3 · 2012-11-28 · math-ph · math.CA · 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{QKNSR6NTHHT6VV663LGNLA3NON}

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	2026-05-18T01:52:53.826044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

829b28f9b339e7ead7dedaccd5836d73597b4956e78945adb4c7be44779ec9cb

Aliases

arxiv: 1211.6646 · arxiv_version: 1211.6646v3 · doi: 10.48550/arxiv.1211.6646 · pith_short_12: QKNSR6NTHHT6 · pith_short_16: QKNSR6NTHHT6VV66 · pith_short_8: QKNSR6NT

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/QKNSR6NTHHT6VV663LGNLA3NON \
  | 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: 829b28f9b339e7ead7dedaccd5836d73597b4956e78945adb4c7be44779ec9cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea3d4a7a9a2c53d7b556ff0994ab653f36eed7f60e4e1d30addd65881eca3c6",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-28T16:24:55Z",
    "title_canon_sha256": "720d9f9c00ff8e7a83c92262695c4448d312db24aff6662bb824db66768e35fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6646",
    "kind": "arxiv",
    "version": 3
  }
}