Pith Number

pith:3MU6VPLH

pith:2009:3MU6VPLHFDOTO7WTKK6OMYFUOM

not attested not anchored not stored refs pending

Periodic orbits for an infinite family of classical superintegrable systems

Alexander V. Turbiner, Fr\'ed\'erick Tremblay, Pavel Winternitz

arxiv:0910.0299 v1 · 2009-10-02 · math-ph · math.DS · math.MP · nlin.SI · physics.class-ph · 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{3MU6VPLHFDOTO7WTKK6OMYFUOM}

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	2026-05-18T02:11:35.104585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db29eabd6728dd377ed352bce660b4731fa8bbcef43d6ca4deacad49e8cd3a05

Aliases

arxiv: 0910.0299 · arxiv_version: 0910.0299v1 · doi: 10.48550/arxiv.0910.0299 · pith_short_12: 3MU6VPLHFDOT · pith_short_16: 3MU6VPLHFDOTO7WT · pith_short_8: 3MU6VPLH

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/3MU6VPLHFDOTO7WTKK6OMYFUOM \
  | 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: db29eabd6728dd377ed352bce660b4731fa8bbcef43d6ca4deacad49e8cd3a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3132bd565d603c37335dbd79e90bbdad916ca60dcfcd791e7c58a1e53e6623df",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "nlin.SI",
      "physics.class-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-10-02T00:43:11Z",
    "title_canon_sha256": "7bf55bedbcf0be1f4322e616375b5b07225712793c0efc5dacf3199b82f4647a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0299",
    "kind": "arxiv",
    "version": 1
  }
}