Pith Number

pith:455ABXDI

pith:2012:455ABXDIWD4EIVRGPKWJQLIXHV

not attested not anchored not stored refs pending

The Smorodinsky-Winternitz potential revisited

Amelia L. Yzaguirre, Roman G. Smirnov

arxiv:1207.7350 v1 · 2012-07-31 · 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{455ABXDIWD4EIVRGPKWJQLIXHV}

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	2026-05-18T03:49:46.113386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77a00dc68b0f84456267aac982d173d48978148ee22581959882183a414f545

Aliases

arxiv: 1207.7350 · arxiv_version: 1207.7350v1 · doi: 10.48550/arxiv.1207.7350 · pith_short_12: 455ABXDIWD4E · pith_short_16: 455ABXDIWD4EIVRG · pith_short_8: 455ABXDI

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/455ABXDIWD4EIVRGPKWJQLIXHV \
  | 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: e77a00dc68b0f84456267aac982d173d48978148ee22581959882183a414f545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d088765ae49f242bcc15f7101675938359c3b0a5d46b8d345011cb89d7b19f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-31T19:29:28Z",
    "title_canon_sha256": "8720b1fa495aa2ed9f1eb8ab05cea41fc31b0f54217cd9946570522473946f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7350",
    "kind": "arxiv",
    "version": 1
  }
}