Pith Number

pith:WYDXSIMF

pith:2003:WYDXSIMFIFY2GCC3N7D4GRZ66K

not attested not anchored not stored refs pending

The Darboux transformation and algebraic deformations of shape-invariant potentials

David Gomez-Ullate, Niky Kamran, Robert Milson

arxiv:quant-ph/0308062 v2 · 2003-08-11 · quant-ph · hep-th · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYDXSIMFIFY2GCC3N7D4GRZ66K}

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	2026-05-18T03:20:33.361862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6077921854171a3085b6fc7c3473ef2a47379fc49926a296fdee2bb19ba74f1

Aliases

arxiv: quant-ph/0308062 · arxiv_version: quant-ph/0308062v2 · doi: 10.48550/arxiv.quant-ph/0308062 · pith_short_12: WYDXSIMFIFY2 · pith_short_16: WYDXSIMFIFY2GCC3 · pith_short_8: WYDXSIMF

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/WYDXSIMFIFY2GCC3N7D4GRZ66K \
  | 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: b6077921854171a3085b6fc7c3473ef2a47379fc49926a296fdee2bb19ba74f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a3e6cac01c3734a69402c8a1b8a07e6c30ff50bd1bff1fcd8ba3f197d1333ea",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-08-11T18:20:52Z",
    "title_canon_sha256": "1e0c3398a15be5473298f907e15e120fd96017d9969ebe86e6556482eeda7e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0308062",
    "kind": "arxiv",
    "version": 2
  }
}