pith. sign in
Pith Number

pith:L4JHTA26

pith:2013:L4JHTA26DKOHBDUXD5Z3264IZ3
not attested not anchored not stored refs pending

Forecasting constraints on the cosmic duality relation with galaxy clusters

J. C. Carvalho, J. S. Alcaniz, R. F. L. Holanda, R. S. Goncalves

arxiv:1306.6644 v1 · 2013-06-27 · astro-ph.CO · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L4JHTA26DKOHBDUXD5Z3264IZ3}

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 2026-05-18T02:28:29.411398Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5f1279835e1a9c708e971f73bd7b88cec21ff8698024f80448206183aeb31338

Aliases

arxiv: 1306.6644 · arxiv_version: 1306.6644v1 · doi: 10.48550/arxiv.1306.6644 · pith_short_12: L4JHTA26DKOH · pith_short_16: L4JHTA26DKOHBDUX · pith_short_8: L4JHTA26
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L4JHTA26DKOHBDUXD5Z3264IZ3 \
  | 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: 5f1279835e1a9c708e971f73bd7b88cec21ff8698024f80448206183aeb31338
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d21d6cb768577df8d1e026a912a8cbc7b5a4bdff30c1fc9978c672e26e28faa9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-06-27T20:03:42Z",
    "title_canon_sha256": "226e858f0654ea5707feacd4c35d6687ef7f9810240f9ff8b076f16d04e404db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6644",
    "kind": "arxiv",
    "version": 1
  }
}