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Pith Number

pith:WRS3JEEE

pith:2022:WRS3JEEEYYC3UOEBJM33H47LUE
not attested not anchored not stored refs pending

Fast Multipole Method for Gravitational Lensing. Application to High Magnification Quasar Microlensing

2), (2). Instituto Carlos I de F\'isica Te\'orica y Computacional. Universidad de Granada. Granada. Spain, (3) Instituto de Astrof\'isica de Canarias. Tenerife. Spain, 4) ((1) Departamento de F\'isica Te\'orica y del Cosmos, (4) Universidad de La Laguna. Tenerife. Spain), E. Mediavilla (3, Granada, J. Jim\'enez Vicente (1, Spain, Universidad de Granada

arxiv:2211.00354 v1 · 2022-11-01 · astro-ph.GA · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WRS3JEEEYYC3UOEBJM33H47LUE}

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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 2026-07-05T05:26:55.145559Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b465b49084c605ba38814b37b3f3eba11d96d59eec63270f9f94c04816a47937

Aliases

arxiv: 2211.00354 · arxiv_version: 2211.00354v1 · doi: 10.48550/arxiv.2211.00354 · pith_short_12: WRS3JEEEYYC3 · pith_short_16: WRS3JEEEYYC3UOEB · pith_short_8: WRS3JEEE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WRS3JEEEYYC3UOEBJM33H47LUE \
  | 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: b465b49084c605ba38814b37b3f3eba11d96d59eec63270f9f94c04816a47937
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ed8b36f9359f617c2a25aebc7725d02aaa215c971632c51749b3c574057001aa",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2022-11-01T09:55:06Z",
    "title_canon_sha256": "bbfc5c6817673360684eea88da0327bcfdb5648024685fceeaaa2007223e9777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00354",
    "kind": "arxiv",
    "version": 1
  }
}