Pith Number

pith:AMIURCHT

pith:2009:AMIURCHTYIWK4DZPS2DBZTH2XG

not attested not anchored not stored refs pending

The Largest Gravitational Lens: MACS J0717.5+3745 (z=0.546)

Adi Zitrin, Sharon Sadeh, Tom Broadhurst, Yoel Rephaeli

arxiv:0907.4232 v2 · 2009-07-24 · 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{AMIURCHTYIWK4DZPS2DBZTH2XG}

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	2026-05-18T03:19:12.100523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03114888f3c22cae0f2f96861cccfab99d86763ef0cb30ab0db15d8e1823a048

Aliases

arxiv: 0907.4232 · arxiv_version: 0907.4232v2 · doi: 10.48550/arxiv.0907.4232 · pith_short_12: AMIURCHTYIWK · pith_short_16: AMIURCHTYIWK4DZP · pith_short_8: AMIURCHT

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/AMIURCHTYIWK4DZPS2DBZTH2XG \
  | 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: 03114888f3c22cae0f2f96861cccfab99d86763ef0cb30ab0db15d8e1823a048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7915bd9aad41db2f9e5ceeada2d5dfd43e206b144f86c3f9817454325c3382",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-07-24T08:17:10Z",
    "title_canon_sha256": "eab2d746b3c983aec2fab975b53a2e821fd909875e5c75a39765871341848bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4232",
    "kind": "arxiv",
    "version": 2
  }
}