Pith Number

pith:PPRK5A5P

pith:2010:PPRK5A5P7XZ6QSVKXAJ7UHBCLG

not attested not anchored not stored refs pending

A GMBCG Galaxy Cluster Catalog of 55,424 Rich Clusters from SDSS DR7

August Evrard, Benjamin P. Koester, David E. Johnston, David Gerdes, Eduardo Rozo, Eli S. Rykoff, Erin Sheldon, James Annis, Jiangang Hao, Matthew Becker, Michael Busha, Risa H. Wechsler, Seth R. Siegel, Timothy A. McKay

arxiv:1010.5503 v3 · 2010-10-26 · astro-ph.CO · stat.CO · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPRK5A5P7XZ6QSVKXAJ7UHBCLG}

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	2026-05-18T04:32:45.398572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be2ae83affdf3e84aaab813fa1c22598cd0bfd0d32ad721727b261a865066d2

Aliases

arxiv: 1010.5503 · arxiv_version: 1010.5503v3 · doi: 10.48550/arxiv.1010.5503 · pith_short_12: PPRK5A5P7XZ6 · pith_short_16: PPRK5A5P7XZ6QSVK · pith_short_8: PPRK5A5P

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/PPRK5A5P7XZ6QSVKXAJ7UHBCLG \
  | 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: 7be2ae83affdf3e84aaab813fa1c22598cd0bfd0d32ad721727b261a865066d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4886a085bba073b5188e608c5dd28e743dee2a1a9400700a4f9273d5d78ba6ef",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-10-26T20:01:37Z",
    "title_canon_sha256": "6a20e118a513366e75c3bc67da5a6967d5b34da89175baebdc4d39abc929cda2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5503",
    "kind": "arxiv",
    "version": 3
  }
}