Pith Number

pith:AO4KH2OM

pith:2026:AO4KH2OMDBGHVUNBCOZYKHG3RZ

not attested not anchored not stored refs pending

A discrete Smorodinsky--Winternitz I superintegrable system

Luc Vinet, Vutha Vichhea Chea

arxiv:2608.12899 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{AO4KH2OMDBGHVUNBCOZYKHG3RZ}

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	2026-08-14T00:58:40.058966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b8a3e9cc184c7ad1a113b3851cdb8e729dd251fde360e721ee18dea00d0381

Aliases

arxiv: 2608.12899 · arxiv_version: 2608.12899v1 · doi: 10.48550/arxiv.2608.12899 · pith_short_12: AO4KH2OMDBGH · pith_short_16: AO4KH2OMDBGHVUNB · pith_short_8: AO4KH2OM

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/AO4KH2OMDBGHVUNBCOZYKHG3RZ \
  | 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: 03b8a3e9cc184c7ad1a113b3851cdb8e729dd251fde360e721ee18dea00d0381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96a73fefa2001b5c8f376193e59ffe4e1edd31888ad5c200ff492eff3d04449",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-13T07:34:43Z",
    "title_canon_sha256": "a2463f48bb554778c5979ad0a641c2719375cc18531db5b4514ce7205b76af9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12899",
    "kind": "arxiv",
    "version": 1
  }
}