Pith Number

pith:CIG3KWRI

pith:2011:CIG3KWRIX4QDRNZNYZFDR3NLPO

not attested not anchored not stored refs pending

Cosmological Constraints from Galaxy Clustering and the Mass-to-Number Ratio of Galaxy Clusters

Benjamin P. Koester, David H. Weinberg, Eduardo Rozo, Erin S. Sheldon, Idit Zehavi, Jeremy L. Tinker, Matthew R. Becker, Michael Blanton, Michael Busha, Risa H. Wechsler, Ying Zu

arxiv:1104.1635 v1 · 2011-04-08 · 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{CIG3KWRIX4QDRNZNYZFDR3NLPO}

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	2026-05-18T02:02:36.140991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

120db55a28bf2038b72dc64a38edab7bab5acb5a8edd748a318998c7ad723a9e

Aliases

arxiv: 1104.1635 · arxiv_version: 1104.1635v1 · doi: 10.48550/arxiv.1104.1635 · pith_short_12: CIG3KWRIX4QD · pith_short_16: CIG3KWRIX4QDRNZN · pith_short_8: CIG3KWRI

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/CIG3KWRIX4QDRNZNYZFDR3NLPO \
  | 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: 120db55a28bf2038b72dc64a38edab7bab5acb5a8edd748a318998c7ad723a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc270a889fdd103e490ee81ab3eedaf3ad7eae91dc8f087a82bd20c27d755ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-04-08T20:00:03Z",
    "title_canon_sha256": "082839f8b41532dff6d6683b16e6ec3d1e58e69b0c0dce6851f463b2eb990881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1635",
    "kind": "arxiv",
    "version": 1
  }
}