Pith Number

pith:FKZHEEOT

pith:2006:FKZHEEOTMDCQPE6QYHBZSJIBXQ

not attested not anchored not stored refs pending

A Quantum Exactly Solvable Nonlinear Oscillator with quasi-Harmonic Behaviour

Jos\'e F. Cari\~nena, Manuel F. Ra\~nada, Mariano Santander

arxiv:math-ph/0604008 v1 · 2006-04-05 · 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{FKZHEEOTMDCQPE6QYHBZSJIBXQ}

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	2026-05-18T02:35:38.667260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab27211d360c50793d0c1c3992501bc11f5081fc435fa780f3ba972615630c9

Aliases

arxiv: math-ph/0604008 · arxiv_version: math-ph/0604008v1 · doi: 10.48550/arxiv.math-ph/0604008 · pith_short_12: FKZHEEOTMDCQ · pith_short_16: FKZHEEOTMDCQPE6Q · pith_short_8: FKZHEEOT

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/FKZHEEOTMDCQPE6QYHBZSJIBXQ \
  | 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: 2ab27211d360c50793d0c1c3992501bc11f5081fc435fa780f3ba972615630c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80df2224d28f576a6f8915eda50f754df288c34a0ebcc651d86c62325cfb4084",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-04-05T08:30:31Z",
    "title_canon_sha256": "eb4a078cf200be5890160f96f7941f035dbc293c22a6f1ac289ab0b74b7b8c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0604008",
    "kind": "arxiv",
    "version": 1
  }
}