Pith Number

pith:FMKDQIND

pith:2011:FMKDQINDEOCBMFCEYMIEUTB5A2

not attested not anchored not stored refs pending

A Grand Design for Galaxy Clusters: Connections and Predictions

2), 2-INAF/OAR, 3), 3-SISSA/ISAS, 4-INAF/IASF Roma, A. Cavaliere (1, A. Lapi (1, Italy, Italy), R. Fusco-Femiano (4) (1-Univ. 'Tor Vergata', Rome, Trieste

arxiv:1110.1951 v2 · 2011-10-10 · 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{FMKDQINDEOCBMFCEYMIEUTB5A2}

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	2026-05-18T02:00:14.407450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b143821a32384161444c3104a4c3d06ab82304a092cb41943e9f6984b824780

Aliases

arxiv: 1110.1951 · arxiv_version: 1110.1951v2 · doi: 10.48550/arxiv.1110.1951 · pith_short_12: FMKDQINDEOCB · pith_short_16: FMKDQINDEOCBMFCE · pith_short_8: FMKDQIND

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/FMKDQINDEOCBMFCEYMIEUTB5A2 \
  | 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: 2b143821a32384161444c3104a4c3d06ab82304a092cb41943e9f6984b824780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb3fc1be178ec823217b490039f27e509ac2b1add802a92d183ca15d66a03b8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-10T08:04:09Z",
    "title_canon_sha256": "7df399a4a8e71167c12a7e2a78901aa351ff159b7def27e5e17e7d4d70e71115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1951",
    "kind": "arxiv",
    "version": 2
  }
}