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Pith Number

pith:CF3HRVQN

pith:2003:CF3HRVQN4HXK5TF5P3CU3D2P3O
not attested not anchored not stored refs pending

Scaling of the Critical Function for the Standard Map: Some Numerical Results

Alberto Berretti, Guido Gentile

arxiv:math/0305220 v1 · 2003-05-15 · math.DS · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CF3HRVQN4HXK5TF5P3CU3D2P3O}

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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.
Receipt and verification
First computed 2026-05-18T02:55:57.898021Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

117678d60de1eeaeccbd7ec54d8f4fdb9c628d87e9e059afeb72946560f45477

Aliases

arxiv: math/0305220 · arxiv_version: math/0305220v1 · doi: 10.48550/arxiv.math/0305220 · pith_short_12: CF3HRVQN4HXK · pith_short_16: CF3HRVQN4HXK5TF5 · pith_short_8: CF3HRVQN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CF3HRVQN4HXK5TF5P3CU3D2P3O \
  | 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: 117678d60de1eeaeccbd7ec54d8f4fdb9c628d87e9e059afeb72946560f45477
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1df01673df89f777ab087ab6f673b9378c413bd1b103e15b6ad70838ac744a72",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-05-15T09:05:50Z",
    "title_canon_sha256": "ba01a4a02aa4c5116e1eef1d0ee4a11891aecd6f06c209055f2b144c322f9d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305220",
    "kind": "arxiv",
    "version": 1
  }
}