Pith Number

pith:4APCAK6U

pith:2012:4APCAK6UTEOIF5GWQSY7KGCFNM

not attested not anchored not stored refs pending

Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials

Christiane Quesne

arxiv:1208.6165 v2 · 2012-08-30 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4APCAK6UTEOIF5GWQSY7KGCFNM}

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	2026-05-18T03:42:22.245589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e01e202bd4991c82f4d684b1f518456b342151b4e1db08acde76bb915bdafe1e

Aliases

arxiv: 1208.6165 · arxiv_version: 1208.6165v2 · doi: 10.48550/arxiv.1208.6165 · pith_short_12: 4APCAK6UTEOI · pith_short_16: 4APCAK6UTEOIF5GW · pith_short_8: 4APCAK6U

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/4APCAK6UTEOIF5GWQSY7KGCFNM \
  | 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: e01e202bd4991c82f4d684b1f518456b342151b4e1db08acde76bb915bdafe1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5336ebe472f80aac043165a46ad1a9927b228a313e655f72029899b62b4c76b6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-30T13:19:47Z",
    "title_canon_sha256": "dc7b106d565a0d5abfe172682301ab535a7f35d32ef4b79d13103644045e4658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6165",
    "kind": "arxiv",
    "version": 2
  }
}