Pith Number

pith:565IVX5H

pith:2002:565IVX5H6LYUGMLLYQ7LXWPJ4D

not attested not anchored not stored refs pending

Clusters of Galaxies: Shock Waves and Cosmic Rays

Dongsu Ryu (Chungnam National University, Hyesung Kang (Pusan National University, Korea)

arxiv:astro-ph/0211365 v1 · 2002-11-15 · 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{565IVX5H6LYUGMLLYQ7LXWPJ4D}

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	2026-05-18T01:40:40.030033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efba8adfa7f2f143316bc43ebbd9e9e0d99fd3b5bcf2745c295282b0663538e0

Aliases

arxiv: astro-ph/0211365 · arxiv_version: astro-ph/0211365v1 · doi: 10.48550/arxiv.astro-ph/0211365 · pith_short_12: 565IVX5H6LYU · pith_short_16: 565IVX5H6LYUGMLL · pith_short_8: 565IVX5H

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/565IVX5H6LYUGMLLYQ7LXWPJ4D \
  | 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: efba8adfa7f2f143316bc43ebbd9e9e0d99fd3b5bcf2745c295282b0663538e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e720e084a35ae0e27d0dcf2e26550b81845e78f5d705ffb8328128fbf904c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-11-15T16:46:20Z",
    "title_canon_sha256": "7ae5914fa3d0e5e0c52275b7c2ad95cb4bee13629771be5f4f1d8f13a098a12f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0211365",
    "kind": "arxiv",
    "version": 1
  }
}