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Pith Number

pith:FF7CMI47

pith:2007:FF7CMI47ABVKIMMRL5IJVD4VZZ
not attested not anchored not stored refs pending

Asymptotic Expansion of the Homoclinic Splitting Matrix for the Rapidly, Quasiperiodically, Forced Pendulum

Mikko Stenlund

arxiv:0711.3654 v1 · 2007-11-22 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FF7CMI47ABVKIMMRL5IJVD4VZZ}

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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 2026-05-18T04:10:57.553011Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

297e26239f006aa431915f509a8f95ce64456f039e79f151cc3de5f6cfc2b248

Aliases

arxiv: 0711.3654 · arxiv_version: 0711.3654v1 · doi: 10.48550/arxiv.0711.3654 · pith_short_12: FF7CMI47ABVK · pith_short_16: FF7CMI47ABVKIMMR · pith_short_8: FF7CMI47
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FF7CMI47ABVKIMMRL5IJVD4VZZ \
  | 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: 297e26239f006aa431915f509a8f95ce64456f039e79f151cc3de5f6cfc2b248
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1587eb014fef991d1650c83889e89dadb1eda36ffe4aae75b4a8eb508b7c9c9a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-11-22T23:40:45Z",
    "title_canon_sha256": "56a916d2f004894af729e1a06e4d2bc554ba5d56f900fa6c85bf645901d4f750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3654",
    "kind": "arxiv",
    "version": 1
  }
}