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Pith Number

pith:IB4RDSXB

pith:2011:IB4RDSXBLQQIO46DODXLTZDGDZ
not attested not anchored not stored refs pending

Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova

Hongwei Yu, Puxun Wu, Zhengxiang Li

arxiv:1101.5255 v2 · 2011-01-27 · astro-ph.CO · astro-ph.GA · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IB4RDSXBLQQIO46DODXLTZDGDZ}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T04:28:47.502265Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

407911cae15c208773c370eeb9e4661e643c6bf6881647499f703080689e5b6c

Aliases

arxiv: 1101.5255 · arxiv_version: 1101.5255v2 · doi: 10.48550/arxiv.1101.5255 · pith_short_12: IB4RDSXBLQQI · pith_short_16: IB4RDSXBLQQIO46D · pith_short_8: IB4RDSXB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IB4RDSXBLQQIO46DODXLTZDGDZ \
  | 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: 407911cae15c208773c370eeb9e4661e643c6bf6881647499f703080689e5b6c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1d9c8ae9911500191c306cfc98659c07bfd240529be6c85719600b1a3de15778",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-01-27T11:02:49Z",
    "title_canon_sha256": "3835ad9843d4d8f1689ee7338f9c9c20e45b7fc3858299b913958a994264de5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5255",
    "kind": "arxiv",
    "version": 2
  }
}