Pith Number

pith:HC24FYZ6

pith:2008:HC24FYZ6J7EHLU4BL3QDCPFZUU

not attested not anchored not stored refs pending

Shape invariance in prepotential approach to exactly solvable models

Choon-Lin Ho

arxiv:0811.1511 v3 · 2008-11-10 · math-ph · hep-th · math.MP · math.SP · 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{HC24FYZ6J7EHLU4BL3QDCPFZUU}

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	2026-05-18T02:15:21.634469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b5c2e33e4fc875d3815ee0313cb9a5213496dbb6c0cd802f7fdb30fccf6895

Aliases

arxiv: 0811.1511 · arxiv_version: 0811.1511v3 · doi: 10.48550/arxiv.0811.1511 · pith_short_12: HC24FYZ6J7EH · pith_short_16: HC24FYZ6J7EHLU4B · pith_short_8: HC24FYZ6

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/HC24FYZ6J7EHLU4BL3QDCPFZUU \
  | 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: 38b5c2e33e4fc875d3815ee0313cb9a5213496dbb6c0cd802f7fdb30fccf6895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7d4312f6a5963f85e4f160ed9e576d553d805aaffa6d05ac8e90b857d71321",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.SP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-10T17:46:15Z",
    "title_canon_sha256": "b2af718985f4dccf64f577c67b87254e86ac5bdb243d760a43b325b69a4b6d76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1511",
    "kind": "arxiv",
    "version": 3
  }
}