Pith Number

pith:P22MYGKV

pith:2009:P22MYGKVKWHFD2352OCZ6S4ALZ

not attested not anchored not stored refs pending

The Observed Growth of Massive Galaxy Clusters I: Statistical Methods and Cosmological Constraints

(2) IfA, Adam Mantz (1), David Rapetti (1), Harald Ebeling (2) ((1) KIPAC, Hawaii), Stanford/SLAC, Steven W. Allen (1)

arxiv:0909.3098 v4 · 2009-09-16 · 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{P22MYGKVKWHFD2352OCZ6S4ALZ}

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	2026-05-18T02:11:47.038280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb4cc1955558e51eb7dd3859f4b805e72690b91bf01f332942aa5c3e62a0293

Aliases

arxiv: 0909.3098 · arxiv_version: 0909.3098v4 · doi: 10.48550/arxiv.0909.3098 · pith_short_12: P22MYGKVKWHF · pith_short_16: P22MYGKVKWHFD235 · pith_short_8: P22MYGKV

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/P22MYGKVKWHFD2352OCZ6S4ALZ \
  | 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: 7eb4cc1955558e51eb7dd3859f4b805e72690b91bf01f332942aa5c3e62a0293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2344ee37cb9c24b9885c5b67bf3c7031651e8c4101f1305d7691e8ebf17164b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-16T20:02:01Z",
    "title_canon_sha256": "5e1f1f25206507356c0c33a08ccf61e1cf4591648e3171c82fb49147dc029836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3098",
    "kind": "arxiv",
    "version": 4
  }
}