Pith Number

pith:3HKNMULK

pith:2002:3HKNMULK3CNOZUO3GRFTLXIAK5

not attested not anchored not stored refs pending

Nonthermal Emissions from Particles Accelerated by Turbulence in Clusters of Galaxies

Craig L. Sarazin, Motokazu Takizawa, Yutaka Fujita

arxiv:astro-ph/0210320 v1 · 2002-10-15 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HKNMULK3CNOZUO3GRFTLXIAK5}

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	2026-05-18T01:07:44.454830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d4d6516ad89aecd1db344b35dd005755e64f4cf5f4faedf626510d668586fe

Aliases

arxiv: astro-ph/0210320 · arxiv_version: astro-ph/0210320v1 · doi: 10.48550/arxiv.astro-ph/0210320 · pith_short_12: 3HKNMULK3CNO · pith_short_16: 3HKNMULK3CNOZUO3 · pith_short_8: 3HKNMULK

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/3HKNMULK3CNOZUO3GRFTLXIAK5 \
  | 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: d9d4d6516ad89aecd1db344b35dd005755e64f4cf5f4faedf626510d668586fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aee7c1a07398793b0f48f5eb13299c6ee667553ed4403f90ccac1039c8c4fe9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-10-15T02:14:40Z",
    "title_canon_sha256": "4040f30a9c5614a29b13dce79b175d757efd05a0441e354f27aee6dcedd96eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0210320",
    "kind": "arxiv",
    "version": 1
  }
}