Pith Number

pith:F2QVL7P2

pith:2011:F2QVL7P2JT7EWLIDBLE4MJH777

not attested not anchored not stored refs pending

The Universal Einstein Radius Distribution from 10,000 SDSS Clusters

Adi Zitrin, Jiangang Hao, Keiichi Umetsu, Masamune Oguri, Matthias Bartelmann, Narciso Ben\'itez, Tom Broadhurst, Yoel Rephaeli

arxiv:1105.2295 v2 · 2011-05-11 · 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{F2QVL7P2JT7EWLIDBLE4MJH777}

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	2026-05-18T03:19:11.892635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea155fdfa4cfe4b2d030ac9c624ffffc9a9edbc2708246789b36e416ad82041

Aliases

arxiv: 1105.2295 · arxiv_version: 1105.2295v2 · doi: 10.48550/arxiv.1105.2295 · pith_short_12: F2QVL7P2JT7E · pith_short_16: F2QVL7P2JT7EWLID · pith_short_8: F2QVL7P2

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/F2QVL7P2JT7EWLIDBLE4MJH777 \
  | 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: 2ea155fdfa4cfe4b2d030ac9c624ffffc9a9edbc2708246789b36e416ad82041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694735cc8e09f0de4640071911714b51b748c55c3aa7b9c9c459d8564d6c9259",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-11T20:00:02Z",
    "title_canon_sha256": "7bf2e92d4a870ad078489d72fac5a44b211dfbab677420fca44a47f6bc5954b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2295",
    "kind": "arxiv",
    "version": 2
  }
}