pith. sign in
Pith Number

pith:V77THQQN

pith:2014:V77THQQNUGKNE4H32JFQZHBTJY
not attested not anchored not stored refs pending

Entropy Flattening, Gas Clumping and Turbulence in Galaxy Clusters

2-Univ. 'Tor Vergata', 3) (1-IAPS/INAF Rome, 3-SISSA, A. Lapi (2, Italy, Italy), R. Fusco-Femiano (1), Rome, Trieste

arxiv:1401.3097 v1 · 2014-01-14 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V77THQQNUGKNE4H32JFQZHBTJY}

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 2026-05-18T01:45:25.819229Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

afff33c20da194d270fbd24b0c9c334e188d599d2a1f06749f4e789f8b6d4454

Aliases

arxiv: 1401.3097 · arxiv_version: 1401.3097v1 · doi: 10.48550/arxiv.1401.3097 · pith_short_12: V77THQQNUGKN · pith_short_16: V77THQQNUGKNE4H3 · pith_short_8: V77THQQN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V77THQQNUGKNE4H32JFQZHBTJY \
  | 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: afff33c20da194d270fbd24b0c9c334e188d599d2a1f06749f4e789f8b6d4454
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8fce695d2a1b1a3a234d248788e249f7cbdf2764f133e45a8f8ec56f88c7dc7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-01-14T08:24:39Z",
    "title_canon_sha256": "ca30cf8d0f5a12bbac707d6f9598d72c263e0020b155392fb24df3c3a7622b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3097",
    "kind": "arxiv",
    "version": 1
  }
}