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Pith Number

pith:SAXJ7F2L

pith:2012:SAXJ7F2LZKO5JQM53TSN62ENJP
not attested not anchored not stored refs pending

New families of symplectic splitting methods for numerical integration in dynamical astronomy

Ander Murua, Ariadna Farres, Fernando Casas, Jacques Laskar, Joseba Makazaga, Sergio Blanes

arxiv:1208.0689 v3 · 2012-08-03 · math.NA · astro-ph.EP · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SAXJ7F2LZKO5JQM53TSN62ENJP}

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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 2026-05-18T02:19:17.100766Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

902e9f974bca9dd4c19ddce4df688d4bf3e7580c539cb8b80c4af4239755d40b

Aliases

arxiv: 1208.0689 · arxiv_version: 1208.0689v3 · doi: 10.48550/arxiv.1208.0689 · pith_short_12: SAXJ7F2LZKO5 · pith_short_16: SAXJ7F2LZKO5JQM5 · pith_short_8: SAXJ7F2L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SAXJ7F2LZKO5JQM53TSN62ENJP \
  | 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: 902e9f974bca9dd4c19ddce4df688d4bf3e7580c539cb8b80c4af4239755d40b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4a83243d4ae3539a3ca415fd74cec42f9487f73cfc74ea222c14e819c9f23beb",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-08-03T08:38:37Z",
    "title_canon_sha256": "891d29ec0103d690c51856bea0ec1f5d7bfa1e282373fe109549ee426029226d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0689",
    "kind": "arxiv",
    "version": 3
  }
}