Pith Number

pith:EYXML63X

pith:2010:EYXML63XNVOEOJH3ZPORYAOGZ7

not attested not anchored not stored refs pending

Ma-Xu quantization rule and exact WKB condition for translationally shape invariant potentials

Alain Berard (FCN), Yves Grandati (FCN)

arxiv:1001.0495 v1 · 2010-01-04 · math-ph · 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{EYXML63XNVOEOJH3ZPORYAOGZ7}

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	2026-05-18T02:10:05.387021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

262ec5fb776d5c4724fbcbdd1c01c6cfc00631051d3ec048229b7ec7858464ad

Aliases

arxiv: 1001.0495 · arxiv_version: 1001.0495v1 · doi: 10.48550/arxiv.1001.0495 · pith_short_12: EYXML63XNVOE · pith_short_16: EYXML63XNVOEOJH3 · pith_short_8: EYXML63X

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/EYXML63XNVOEOJH3ZPORYAOGZ7 \
  | 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: 262ec5fb776d5c4724fbcbdd1c01c6cfc00631051d3ec048229b7ec7858464ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f395498db111d9c151496bd7ee09c62f7e8b887b16f2e17d2cea309a073edf",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-01-04T12:17:17Z",
    "title_canon_sha256": "e1d9278626482f5734e941138c67ab949eb6e24e4fa1660219c24c22e749343f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0495",
    "kind": "arxiv",
    "version": 1
  }
}