Pith Number

pith:7VDTZ2WX

pith:2013:7VDTZ2WXCEXJP4BZ6D7CIOPV2T

not attested not anchored not stored refs pending

On the Physics of Radio Halos in Galaxy Clusters: Scaling Relations and Luminosity Functions

1) ((1) Instituto de Astrofisica de Andalucia (CSIC), 2), (2) Now at GRAPPA Institute, (3) Heidelberg Institute for Theoretical Studies, (4) Campus of International Excellence UAM+CSIC, 5, Christoph Pfrommer (3), Fabio Zandanel (1, Francisco Prada (4, Germany, Granada, Heidelberg, Madrid, Netherlands, Spain, Spain), Spain (5) Instituto de Fisica Teorica (UAM/CSIC), Universidad Autonoma de Madrid, University of Amsterdam

arxiv:1311.4795 v3 · 2013-11-19 · astro-ph.CO · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VDTZ2WXCEXJP4BZ6D7CIOPV2T}

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	2026-05-18T01:24:44.044333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd473cead7112e97f039f0fe2439f5d4dfddbfffa82786b0de865dfc6ed640cf

Aliases

arxiv: 1311.4795 · arxiv_version: 1311.4795v3 · doi: 10.48550/arxiv.1311.4795 · pith_short_12: 7VDTZ2WXCEXJ · pith_short_16: 7VDTZ2WXCEXJP4BZ · pith_short_8: 7VDTZ2WX

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/7VDTZ2WXCEXJP4BZ6D7CIOPV2T \
  | 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: fd473cead7112e97f039f0fe2439f5d4dfddbfffa82786b0de865dfc6ed640cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d63d6a0824b7f88a8f293a275b13237b6f4da04582db8e4cc39883dee7296c0",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-19T16:27:10Z",
    "title_canon_sha256": "bb67710b3b075fc9ac16f33c18cc8e9ee50e32f10d4bfc9e768c16e304fa366f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4795",
    "kind": "arxiv",
    "version": 3
  }
}