Pith Number

pith:4CEL4YDW

pith:2022:4CEL4YDWBFDJYCITCMWLSBEHUQ

not attested not anchored not stored refs pending

Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system

Alfonso Blasco, Francisco J.Herranz, Ivan Gutierrez-Sagredo

arxiv:2206.12717 v2 · 2022-06-25 · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CEL4YDWBFDJYCITCMWLSBEHUQ}

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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.

Cited by

2 papers in Pith

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions

Receipt and verification

First computed	2026-07-05T05:30:43.314304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e088be607609469c0913132cb90487a423335ba19f540458c72b2165a738e8bb

Aliases

arxiv: 2206.12717 · arxiv_version: 2206.12717v2 · doi: 10.48550/arxiv.2206.12717 · pith_short_12: 4CEL4YDWBFDJ · pith_short_16: 4CEL4YDWBFDJYCIT · pith_short_8: 4CEL4YDW

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/4CEL4YDWBFDJYCITCMWLSBEHUQ \
  | 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: e088be607609469c0913132cb90487a423335ba19f540458c72b2165a738e8bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e885218386765dc7e27d39c9e7c2f5894c906ff480b91bb753ed37d067ce0dd1",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-06-25T19:04:13Z",
    "title_canon_sha256": "5aa4528ce4c1f8e30d073fa942c8b1fe9a64b5fdeda794fb7022ca1e7fea625d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12717",
    "kind": "arxiv",
    "version": 2
  }
}