Pith Number

pith:IRNI5ETF

pith:2012:IRNI5ETFDCHD5DYJVIMBXNVKJF

not attested not anchored not stored refs pending

The strongest gravitational lenses: I. The statistical impact of cluster mergers

Cosimo Fedeli, Jean-Claude Waizmann, Matthias Bartelmann, Matthias Redlich

arxiv:1205.6906 v2 · 2012-05-31 · 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{IRNI5ETFDCHD5DYJVIMBXNVKJF}

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	2026-05-18T03:41:01.097003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445a8e9265188e3e8f09aa181bb6aa495cfd8697996926671381236e3a7f9114

Aliases

arxiv: 1205.6906 · arxiv_version: 1205.6906v2 · doi: 10.48550/arxiv.1205.6906 · pith_short_12: IRNI5ETFDCHD · pith_short_16: IRNI5ETFDCHD5DYJ · pith_short_8: IRNI5ETF

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/IRNI5ETFDCHD5DYJVIMBXNVKJF \
  | 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: 445a8e9265188e3e8f09aa181bb6aa495cfd8697996926671381236e3a7f9114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f44f0b2321cc0b387a5c7f2809a660489e74b9377d1181f5d811602962e28f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-31T08:04:50Z",
    "title_canon_sha256": "6bbc217f0df9836e24286f7b1ae427815ea71484b518ea50baba092d9ca35926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6906",
    "kind": "arxiv",
    "version": 2
  }
}