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Pith Number

pith:PQRLU3PZ

pith:2013:PQRLU3PZVVLDWFWLULDKFTTSLC
not attested not anchored not stored refs pending

On the co-orbital motion of two planets in quasi-circular orbits

Alexandre Pousse (IMCCE), Philippe Robutel (IMCCE)

arxiv:1304.1048 v2 · 2013-04-03 · astro-ph.EP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PQRLU3PZVVLDWFWLULDKFTTSLC}

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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 2026-05-18T01:50:43.413669Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7c22ba6df9ad563b16cba2c6a2ce72588401f1e73eb805c6d2b73b5e5a3150b5

Aliases

arxiv: 1304.1048 · arxiv_version: 1304.1048v2 · doi: 10.48550/arxiv.1304.1048 · pith_short_12: PQRLU3PZVVLD · pith_short_16: PQRLU3PZVVLDWFWL · pith_short_8: PQRLU3PZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PQRLU3PZVVLDWFWLULDKFTTSLC \
  | 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: 7c22ba6df9ad563b16cba2c6a2ce72588401f1e73eb805c6d2b73b5e5a3150b5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c5fcb2db4744e1ec65db626273f2606574c6a64730c2f19e0d8cd8868ebfed76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2013-04-03T18:45:01Z",
    "title_canon_sha256": "7888a2e4b3ed1c5f1e0a1807a5521cb78891cd42c86f90c55429900b9ce036fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1048",
    "kind": "arxiv",
    "version": 2
  }
}