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Pith Number

pith:AIVNVE7E

pith:2009:AIVNVE7EVSIA4JBRCZAS3PTQ6V
not attested not anchored not stored refs pending

Nonholonomic Hamilton-Jacobi equation and Integrability

Anthony M. Bloch, Tomoki Ohsawa

arxiv:0906.3357 v4 · 2009-06-18 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AIVNVE7EVSIA4JBRCZAS3PTQ6V}

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 2026-05-18T04:15:36.957019Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

022ada93e4ac900e243116412dbe70f5636f3fb9349c2cc42848718f3e4f1894

Aliases

arxiv: 0906.3357 · arxiv_version: 0906.3357v4 · doi: 10.48550/arxiv.0906.3357 · pith_short_12: AIVNVE7EVSIA · pith_short_16: AIVNVE7EVSIA4JBR · pith_short_8: AIVNVE7E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AIVNVE7EVSIA4JBRCZAS3PTQ6V \
  | 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: 022ada93e4ac900e243116412dbe70f5636f3fb9349c2cc42848718f3e4f1894
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0f9e9bc54a38c55844c64e89904c78826c11fa6eb1842487acbf1eb4c127c80d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-18T06:09:44Z",
    "title_canon_sha256": "4ff2a9482368f0ff1108db13ae5cbdd12d6b310fce241afe5f458e52a9e76e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3357",
    "kind": "arxiv",
    "version": 4
  }
}