Pith Number

pith:VG7OFYQY

pith:2019:VG7OFYQYTGU6N2SWH4ADGJYNWO

not attested not anchored not stored refs pending

The Most Massive galaxy Clusters (M2C) across cosmic time: link between radial total mass distribution and dynamical state

G.W. Pratt, I. Bartalucci, J. D\'emocl\`es, L. Lovisari, M. Arnaud

arxiv:1906.02339 v2 · 2019-06-05 · 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{VG7OFYQYTGU6N2SWH4ADGJYNWO}

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.

Cited by

1 paper in Pith

The Treble Clef radio phoenix and its old nonthermal filaments

Receipt and verification

First computed	2026-07-04T23:55:43.020745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9bee2e21899a9e6ea563f0033270db38b9933305aa87d3a5e2414257d08432d

Aliases

arxiv: 1906.02339 · arxiv_version: 1906.02339v2 · doi: 10.48550/arxiv.1906.02339 · pith_short_12: VG7OFYQYTGU6 · pith_short_16: VG7OFYQYTGU6N2SW · pith_short_8: VG7OFYQY

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/VG7OFYQYTGU6N2SWH4ADGJYNWO \
  | 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: a9bee2e21899a9e6ea563f0033270db38b9933305aa87d3a5e2414257d08432d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2441f4564150c5edbe50836b13ccbc148a6a1744f18983b4cd640318fed6227b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-06-05T22:26:38Z",
    "title_canon_sha256": "838508c757a85982633177da8e5314176597960bc74c12fd3cbd233a0beaacb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02339",
    "kind": "arxiv",
    "version": 2
  }
}