Pith Number

pith:32PIAMU2

pith:2016:32PIAMU25SDEEBGZTNRF6FW65B

not attested not anchored not stored refs pending

The evolution in the stellar mass of Brightest Cluster Galaxies over the past 10 billion years

Adam Muzzin, Allison R. Hill, Catherine Weigel, Chris Lidman, Cristobal Sifon, Danilo Marchesini, Henk Hoekstra, Ivo Labbe, Jesse van de Sande, Marijn Franx, Mauro Stefanon, Mitra Safavi-Naeini, Noah Kurinsky, Pieter van Dokkum, Sabine Bellstedt, Susanna Guatelli, Z. Cemile Marsan

arxiv:1605.02736 v2 · 2016-05-09 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32PIAMU25SDEEBGZTNRF6FW65B}

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	2026-05-18T01:13:47.013070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9e80329aec864204d99b625f16dee850dafb448057a3772e16fb589e283372

Aliases

arxiv: 1605.02736 · arxiv_version: 1605.02736v2 · doi: 10.48550/arxiv.1605.02736 · pith_short_12: 32PIAMU25SDE · pith_short_16: 32PIAMU25SDEEBGZ · pith_short_8: 32PIAMU2

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/32PIAMU25SDEEBGZTNRF6FW65B \
  | 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: de9e80329aec864204d99b625f16dee850dafb448057a3772e16fb589e283372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e50fbbfb4425cf67fdb5c1ab7b29ee77c8224c2c688479d6eae06ad01991c698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-05-09T20:00:02Z",
    "title_canon_sha256": "946cacfd15b158dab4c34df5e84b95146128f478c1e33f2b2ab117a48c052cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02736",
    "kind": "arxiv",
    "version": 2
  }
}