Pith Number

pith:Z6ALBJVX

pith:2012:Z6ALBJVXY5NEUORZEYJVZAMHPU

not attested not anchored not stored refs pending

Dynamical analysis of strong-lensing galaxy groups at intermediate redshift

2), (2) Departamento de Astronom\'ia y Astrof\'isica, 3), (3) Centro de Investigaciones de Astronom\'ia, (4) Aix Marseille Universit\'e, 5), (5) Dark Cosmology Centre, (6) Laboratoire d'Astrophysique de Toulouse-Tarbes, (7) Institut d'Astrophysique de Paris, (8) CRAL, Chile, Denmark, F. Garrido (2), France, France), G. Fo\"ex (1), J. Richard (8) ((1) Departamento de F\'isica y Astronom\'ia, LAM, L.F. Barrientos (2), M. Limousin (4, Niels Bohr Institute, N. Padilla (2), Observatoire de Lyon, Pontificia Universidad Cat\'olica de Chile, R. Cabanac (6), R. Gavazzi (7), R.P. Mu\~noz (1, T. Verdugo (1, Universidad de Valpara\'iso, Universit\'e de Toulouse, Universit\'e Lyon 1, Venezuela, V. Motta (1)

arxiv:1212.2624 v1 · 2012-12-11 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6ALBJVXY5NEUORZEYJVZAMHPU}

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	2026-05-18T01:52:39.881808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf80b0a6b7c75a4a3a3926135c81877d0e1b580a1aa29a67f450d8b45751b645

Aliases

arxiv: 1212.2624 · arxiv_version: 1212.2624v1 · doi: 10.48550/arxiv.1212.2624 · pith_short_12: Z6ALBJVXY5NE · pith_short_16: Z6ALBJVXY5NEUORZ · pith_short_8: Z6ALBJVX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z6ALBJVXY5NEUORZEYJVZAMHPU \
  | 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: cf80b0a6b7c75a4a3a3926135c81877d0e1b580a1aa29a67f450d8b45751b645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54dc2881e5b8858325816b0ab62376bea4b840967df3bf1fda4f41e1d02cb4c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-11T20:55:12Z",
    "title_canon_sha256": "761d3f20aabceecdfbc8161b0f529644bebd7af1d38361c9f12bf47e4af28348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2624",
    "kind": "arxiv",
    "version": 1
  }
}