Pith Number

pith:4ZJLQDRW

pith:2011:4ZJLQDRW4H562TNQZKWGCYLCAR

not attested not anchored not stored refs pending

Resonant scattering in galaxy clusters for anisotropic gas motions on various spatial scales

E. Churazov, I. Zhuravleva, K. Dolag, R. Sunyaev, S. Sazonov

arxiv:1102.4098 v2 · 2011-02-20 · 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{4ZJLQDRW4H562TNQZKWGCYLCAR}

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	2026-05-18T02:03:07.355908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e652b80e36e1fbed4db0caac616162045f974c0a3132b8d24cf7f9b111768811

Aliases

arxiv: 1102.4098 · arxiv_version: 1102.4098v2 · doi: 10.48550/arxiv.1102.4098 · pith_short_12: 4ZJLQDRW4H56 · pith_short_16: 4ZJLQDRW4H562TNQ · pith_short_8: 4ZJLQDRW

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/4ZJLQDRW4H562TNQZKWGCYLCAR \
  | 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: e652b80e36e1fbed4db0caac616162045f974c0a3132b8d24cf7f9b111768811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e296df312628dd49febd520e88fa5e2f5c6b1e25f32c3e69b7e808dbddd1ba7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2011-02-20T19:50:07Z",
    "title_canon_sha256": "02e791ee67ab5fe30c694e7d9f024388513cf06244f6ae467fa98de5f43102a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4098",
    "kind": "arxiv",
    "version": 2
  }
}