Pith Number

pith:A4C5OY57

pith:2010:A4C5OY57MISS7T2WZZXNWURMOB

not attested not anchored not stored refs pending

Strong-Lensing Analysis of a Complete Sample of 12 MACS Clusters at z>0.5: Mass Models and Einstein Radii

Adi Zitrin, Narciso Benitez, Rennan Barkana, Tom Broadhurst, Yoel Rephaeli

arxiv:1002.0521 v2 · 2010-02-02 · 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{A4C5OY57MISS7T2WZZXNWURMOB}

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	2026-05-18T03:19:12.070233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0705d763bf62252fcf56ce6edb522c706fe8f25585e2fd9e77ff28f589dcb8a4

Aliases

arxiv: 1002.0521 · arxiv_version: 1002.0521v2 · doi: 10.48550/arxiv.1002.0521 · pith_short_12: A4C5OY57MISS · pith_short_16: A4C5OY57MISS7T2W · pith_short_8: A4C5OY57

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/A4C5OY57MISS7T2WZZXNWURMOB \
  | 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: 0705d763bf62252fcf56ce6edb522c706fe8f25585e2fd9e77ff28f589dcb8a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7658e7cfd3237e5762721c8e10ef209996a30c2e61082cc2a0ed3f18e0fdb7cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-02-02T16:25:26Z",
    "title_canon_sha256": "b220cceeb5e87d7b6ef307fcd08117800ab37257c5248e6b9c26df877cb09776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0521",
    "kind": "arxiv",
    "version": 2
  }
}