Pith Number

pith:LQYUFMOV

pith:2010:LQYUFMOVLOTAFXFOZD333EFHLQ

not attested not anchored not stored refs pending

Solvable rational extensions of the isotonic oscillator

Yves Grandati (FCN)

arxiv:1101.0055 v2 · 2010-12-30 · 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{LQYUFMOVLOTAFXFOZD333EFHLQ}

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	2026-05-18T04:20:03.715712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c3142b1d55ba602dcaec8f7bd90a75c2faa63d96a01c3d0c64527ac61c66ab1

Aliases

arxiv: 1101.0055 · arxiv_version: 1101.0055v2 · doi: 10.48550/arxiv.1101.0055 · pith_short_12: LQYUFMOVLOTA · pith_short_16: LQYUFMOVLOTAFXFO · pith_short_8: LQYUFMOV

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/LQYUFMOVLOTAFXFOZD333EFHLQ \
  | 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: 5c3142b1d55ba602dcaec8f7bd90a75c2faa63d96a01c3d0c64527ac61c66ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea7ac5fe3e04c930ed3cb6b3ff51adfac57949fa1c81d178489d289ecd6d7fec",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-30T08:26:12Z",
    "title_canon_sha256": "68096d319af713466306b5e24c54f6c5d48204d62a314d20cb1888377e8ab5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0055",
    "kind": "arxiv",
    "version": 2
  }
}