Pith Number

pith:XHWN23DG

pith:2002:XHWN23DGL6TGRD2QB2NJGS5ZKO

not attested not anchored not stored refs pending

New classes of quasi-solvable potentials, their exactly-solvable limit and related orthogonal polynomials

Asish Ganguly

arxiv:math-ph/0212045 v1 · 2002-12-15 · math-ph · hep-th · math.MP · 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{XHWN23DGL6TGRD2QB2NJGS5ZKO}

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	2026-05-18T01:38:33.954052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ecdd6c665fa6688f500e9a934bb953b53730ffbd915f61dacc34a0e4b4e9b4

Aliases

arxiv: math-ph/0212045 · arxiv_version: math-ph/0212045v1 · doi: 10.48550/arxiv.math-ph/0212045 · pith_short_12: XHWN23DGL6TG · pith_short_16: XHWN23DGL6TGRD2Q · pith_short_8: XHWN23DG

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/XHWN23DGL6TGRD2QB2NJGS5ZKO \
  | 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: b9ecdd6c665fa6688f500e9a934bb953b53730ffbd915f61dacc34a0e4b4e9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d5398ad5cbb062d1a72cf256c3cb523739500a15297e3a7452f6ba2f4be3fb",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-12-15T17:53:52Z",
    "title_canon_sha256": "af32dbca8c68e0642393179e287672890d53a17e9cc54cf52ece578f16528f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0212045",
    "kind": "arxiv",
    "version": 1
  }
}