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Pith Number

pith:UNHTR5I4

pith:2013:UNHTR5I4YKZNTO2AV2O7MFVIKF
not attested not anchored not stored refs pending

Symplectic theory of completely integrable Hamiltonian systems

\'Alvaro Pelayo, San V\~u Ngoc

arxiv:1306.0115 v1 · 2013-06-01 · math.DS · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UNHTR5I4YKZNTO2AV2O7MFVIKF}

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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 2026-05-18T03:21:56.094984Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a34f38f51cc2b2d9bb40ae9df616a8517b91f8f0a67802f5e5d34705ea626374

Aliases

arxiv: 1306.0115 · arxiv_version: 1306.0115v1 · doi: 10.48550/arxiv.1306.0115 · pith_short_12: UNHTR5I4YKZN · pith_short_16: UNHTR5I4YKZNTO2A · pith_short_8: UNHTR5I4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UNHTR5I4YKZNTO2AV2O7MFVIKF \
  | 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: a34f38f51cc2b2d9bb40ae9df616a8517b91f8f0a67802f5e5d34705ea626374
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f0b2232711f20c1549d8c01087dc40ba1e8ccb7fb84f076345229e31f8b2db4b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-01T15:00:21Z",
    "title_canon_sha256": "e4698508540baa86e6ffe300203f894e0d9a59adbf92b78929858d298c8f3894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0115",
    "kind": "arxiv",
    "version": 1
  }
}