Pith. sign in
Pith Number

pith:5PD4GSHY

pith:2023:5PD4GSHYWK5KTOC3A26OKJCW32
not attested not anchored not stored refs pending

The Hamiltonian for von Zeipel-Lidov-Kozai oscillations

Scott Tremaine

arxiv:2304.01257 v1 · 2023-04-03 · astro-ph.EP · astro-ph.GA · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5PD4GSHYWK5KTOC3A26OKJCW32}

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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

1 paper in Pith

Receipt and verification
First computed 2026-07-05T06:02:09.212229Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ebc7c348f8b2baa9b85b06bce52456deb65623d14005addba78f9ba02060f189

Aliases

arxiv: 2304.01257 · arxiv_version: 2304.01257v1 · doi: 10.48550/arxiv.2304.01257 · pith_short_12: 5PD4GSHYWK5K · pith_short_16: 5PD4GSHYWK5KTOC3 · pith_short_8: 5PD4GSHY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5PD4GSHYWK5KTOC3A26OKJCW32 \
  | 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: ebc7c348f8b2baa9b85b06bce52456deb65623d14005addba78f9ba02060f189
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "49e3a3ab5c4d25afef2f99e0890cc4009b7c1d5bad1c3a21030f08b8c9dfbe39",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2023-04-03T18:00:04Z",
    "title_canon_sha256": "b3d70e173fd850796addea29a0cd502bd258b4621f25f16b2097a4a252a454b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.01257",
    "kind": "arxiv",
    "version": 1
  }
}