Pith Number

pith:MXNBFLWG

pith:2009:MXNBFLWGKKRZWZFOGJKW6XCCTA

not attested not anchored not stored refs pending

Infinitely many shape invariant potentials and cubic identities of the Laguerre and Jacobi polynomials

Ryu Sasaki, Satoru Odake

arxiv:0911.1585 v1 · 2009-11-09 · math-ph · hep-th · math.CA · math.MP · nlin.SI · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXNBFLWGKKRZWZFOGJKW6XCCTA}

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	2026-05-18T02:34:11.576139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65da12aec652a39b64ae32556f5c42983de2d9325da589677250213e818217d7

Aliases

arxiv: 0911.1585 · arxiv_version: 0911.1585v1 · doi: 10.48550/arxiv.0911.1585 · pith_short_12: MXNBFLWGKKRZ · pith_short_16: MXNBFLWGKKRZWZFO · pith_short_8: MXNBFLWG

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/MXNBFLWGKKRZWZFOGJKW6XCCTA \
  | 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: 65da12aec652a39b64ae32556f5c42983de2d9325da589677250213e818217d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd17269f45e88ee612ebc735b31984d92d93666815f0bee5669d1f4fd369153",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-09T04:40:17Z",
    "title_canon_sha256": "dd32d46c818f5e09855d57b296c97960d6fe2fc4d8025db30fc6f72c3fd2e33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1585",
    "kind": "arxiv",
    "version": 1
  }
}