Pith Number

pith:FJI3THT3

pith:2010:FJI3THT3TDXY5GIMOFJKM4RGYR

not attested not anchored not stored refs pending

A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities

Manuel F. Ra\~nada, Mariano Santander, Miguel A. Rodr\'iguez

arxiv:1002.3870 v1 · 2010-02-20 · 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{FJI3THT3TDXY5GIMOFJKM4RGYR}

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	2026-05-18T02:08:58.616437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a51b99e7b98ef8e990c7152a67226c47b44465e0729d606a2c2b083f0673b2d

Aliases

arxiv: 1002.3870 · arxiv_version: 1002.3870v1 · doi: 10.48550/arxiv.1002.3870 · pith_short_12: FJI3THT3TDXY · pith_short_16: FJI3THT3TDXY5GIM · pith_short_8: FJI3THT3

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/FJI3THT3TDXY5GIMOFJKM4RGYR \
  | 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: 2a51b99e7b98ef8e990c7152a67226c47b44465e0729d606a2c2b083f0673b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ebd6f8697bbde0f0893bf83fcf9d5a9f4d467409ef58b37251ebc436e075216",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-20T11:27:19Z",
    "title_canon_sha256": "f8109b150d847ce93f0f2b0b43498e82d86f933b078afee43d08f5bd2c5481ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3870",
    "kind": "arxiv",
    "version": 1
  }
}