Pith Number

pith:OCHSC2MH

pith:2026:OCHSC2MH57IIFHIGCZNI54IVCX

not attested not anchored not stored refs pending

A discrete Smorodinsky--Winternitz II superintegrable system

Luc Vinet, Pierre-Antoine Bernard, Vutha Vichhea Chea

arxiv:2608.12909 v1 · 2026-08-13 · 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{OCHSC2MH57IIFHIGCZNI54IVCX}

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	2026-08-14T00:58:52.216186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708f216987efd0829d06165a8ef11515e32ddf5875983e975551340b4889bfe8

Aliases

arxiv: 2608.12909 · arxiv_version: 2608.12909v1 · doi: 10.48550/arxiv.2608.12909 · pith_short_12: OCHSC2MH57II · pith_short_16: OCHSC2MH57IIFHIG · pith_short_8: OCHSC2MH

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/OCHSC2MH57IIFHIGCZNI54IVCX \
  | 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: 708f216987efd0829d06165a8ef11515e32ddf5875983e975551340b4889bfe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64e1c70780f3f76720408e98af9a2b1b6afc7dc81f8be8feda635544eafe1ca",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-13T07:50:35Z",
    "title_canon_sha256": "06c4c760399a5b2aa952602276e23a2d059c06950d7744d3cbc9c0a886ef3795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12909",
    "kind": "arxiv",
    "version": 1
  }
}