Pith Number

pith:CCWZGUYL

pith:2011:CCWZGUYLEWTXOU54P7VVPS4IJQ

not attested not anchored not stored refs pending

An application of extreme value statistics to the most massive galaxy clusters at low and high redshifts

Jean-Claude Waizmann, Lauro Moscardini, Stefano Ettori

arxiv:1109.4820 v2 · 2011-09-22 · 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{CCWZGUYLEWTXOU54P7VVPS4IJQ}

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	2026-05-18T03:59:12.258817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ad93530b25a77753bc7feb57cb884c3e82ac584980467fc366dcab880ae3aa

Aliases

arxiv: 1109.4820 · arxiv_version: 1109.4820v2 · doi: 10.48550/arxiv.1109.4820 · pith_short_12: CCWZGUYLEWTX · pith_short_16: CCWZGUYLEWTXOU54 · pith_short_8: CCWZGUYL

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/CCWZGUYLEWTXOU54P7VVPS4IJQ \
  | 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: 10ad93530b25a77753bc7feb57cb884c3e82ac584980467fc366dcab880ae3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf28a6d25a038b40af204cdc8330adf7724bc0e840380355b405704f3d1918f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-22T14:23:03Z",
    "title_canon_sha256": "020d974a616c0bb17f66ec19dd99fcc0fc88b1734c5584566e71a1ddc6628122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4820",
    "kind": "arxiv",
    "version": 2
  }
}