Pith. sign in
Pith Number

pith:L7H2GJU7

pith:2021:L7H2GJU7KDQL47M2M74IWRJJBY
not attested not anchored not stored refs pending

Construction of explicit symplectic integrators in general relativity. IV. Kerr black holes

Fuyao Liu, Wei Sun, Xin Wu, Ying Wang

arxiv:2106.12356 v1 · 2021-06-23 · gr-qc · astro-ph.IM · nlin.CD · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L7H2GJU7KDQL47M2M74IWRJJBY}

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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 2026-07-05T02:51:45.188015Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5fcfa3269f50e0be7d9a67f88b45290e0f451e1b651541af6f7d922d0015769c

Aliases

arxiv: 2106.12356 · arxiv_version: 2106.12356v1 · doi: 10.48550/arxiv.2106.12356 · pith_short_12: L7H2GJU7KDQL · pith_short_16: L7H2GJU7KDQL47M2 · pith_short_8: L7H2GJU7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L7H2GJU7KDQL47M2M74IWRJJBY \
  | 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: 5fcfa3269f50e0be7d9a67f88b45290e0f451e1b651541af6f7d922d0015769c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "899fdbac69387b26601d06f2638675aca52cc503ac0e227b7717ad938baa12a3",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-23T12:48:41Z",
    "title_canon_sha256": "a68b10291e6aacb1f3729e873d03a9ef1100b008733e59cf3a073bcc4889a838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12356",
    "kind": "arxiv",
    "version": 1
  }
}