Pith Number

pith:4TU5MYCN

pith:2013:4TU5MYCNYP2GQT4YWJQBZ7WYNQ

not attested not anchored not stored refs pending

Line-of-Sight Structure Toward Strong Lensing Galaxy Clusters

2), (2) - CfA, (3) - Michigan, (4) - UChicago, 5), (5) - KICP, (6) - Univ. of Tokyo, 7) ((1) - Harvard, (7) - Kavli IPMU), Keren Sharon (3), Masamune Oguri (6, Matthew B. Bayliss (1, Michael D. Gladders (4, Traci Johnson (3)

arxiv:1312.3637 v1 · 2013-12-12 · 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{4TU5MYCNYP2GQT4YWJQBZ7WYNQ}

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.

Cited by

1 paper in Pith

Hyrax: An Extensible Framework for Rapid ML Experimentation and Unsupervised Discovery in the Era of Rubin, Roman, and Euclid

Receipt and verification

First computed	2026-05-18T02:58:32.235071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e9d6604dc3f4684f98b2601cfed86c04107ef1858c6e3e5dbc83fc6f6a5fbe

Aliases

arxiv: 1312.3637 · arxiv_version: 1312.3637v1 · doi: 10.48550/arxiv.1312.3637 · pith_short_12: 4TU5MYCNYP2G · pith_short_16: 4TU5MYCNYP2GQT4Y · pith_short_8: 4TU5MYCN

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/4TU5MYCNYP2GQT4YWJQBZ7WYNQ \
  | 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: e4e9d6604dc3f4684f98b2601cfed86c04107ef1858c6e3e5dbc83fc6f6a5fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b078f0b66c944460d130c07bef8273295792cf0e7a0e1b1d97ab672c41f2cac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-12T21:00:03Z",
    "title_canon_sha256": "5ba7acfb707143ec6a656a44da39315c4d07af2793613cf8e0a2176f5e6575fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3637",
    "kind": "arxiv",
    "version": 1
  }
}