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Pith Number

pith:7VUXPRMO

pith:2011:7VUXPRMOLCCQMXLAKM2EVLW4SW
not attested not anchored not stored refs pending

Leading-order spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians

Gerhard Sch\"afer, Han Wang, Jan Steinhoff, Jing Zeng

arxiv:1109.1182 v2 · 2011-09-06 · gr-qc · astro-ph.HE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7VUXPRMOLCCQMXLAKM2EVLW4SW}

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 2026-05-18T04:03:42.934876Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fd6977c58e5885065d6053344aaedc95aac6596f0e13350b203a2f53a06bd853

Aliases

arxiv: 1109.1182 · arxiv_version: 1109.1182v2 · doi: 10.48550/arxiv.1109.1182 · pith_short_12: 7VUXPRMOLCCQ · pith_short_16: 7VUXPRMOLCCQMXLA · pith_short_8: 7VUXPRMO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7VUXPRMOLCCQMXLAKM2EVLW4SW \
  | 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: fd6977c58e5885065d6053344aaedc95aac6596f0e13350b203a2f53a06bd853
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bf290eeb12b1c922b8b21d20e07ef38f2b50acd9e3c8e0047746a864b422fe89",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-06T13:42:44Z",
    "title_canon_sha256": "4ca0deb310ce93fc902a33605aa71d84572232e29aa8c1cd9f7d1942562ba268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1182",
    "kind": "arxiv",
    "version": 2
  }
}