Pith Number

pith:ZZFRUGMA

pith:2021:ZZFRUGMAOKFDWJLG7PLXIWH6SH

not attested not anchored not stored refs pending

Cosmological Constraints from Gas Mass Fractions of Massive, Relaxed Galaxy Clusters

Adam B. Mantz, Adam Wright, Anja von der Linden, Benjamin Floyd, Bradford Benson, David A. Rapetti, Lindsey E. Bleem, Lucie Baumont, Michael McDonald, Norbert Werner, Patrick L. Kelly, Rebecca E. A. Canning, Ricardo Herbonnet, Robert W. Schmidt, Shuang Liang, Steven R. Ehlert, Steven W. Allen

arxiv:2111.09343 v1 · 2021-11-17 · 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{ZZFRUGMAOKFDWJLG7PLXIWH6SH}

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	2026-07-05T03:38:41.146277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4b1a1980728a3b2566fbd77458fe91e2446d578bacc1977c26bf373d138681

Aliases

arxiv: 2111.09343 · arxiv_version: 2111.09343v1 · doi: 10.48550/arxiv.2111.09343 · pith_short_12: ZZFRUGMAOKFD · pith_short_16: ZZFRUGMAOKFDWJLG · pith_short_8: ZZFRUGMA

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/ZZFRUGMAOKFDWJLG7PLXIWH6SH \
  | 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: ce4b1a1980728a3b2566fbd77458fe91e2446d578bacc1977c26bf373d138681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2228266cec8810f8c1122978a27844c3adfdb8dde8715db45741f0a36567b29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-17T19:13:14Z",
    "title_canon_sha256": "25593b2ea779abb8f33a0bd34fd4003c901a741381e66423774575e7298148b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09343",
    "kind": "arxiv",
    "version": 1
  }
}