Pith Number

pith:CBBIYKC4

pith:2010:CBBIYKC4RSEWFVBD6YZ52BOEH2

not attested not anchored not stored refs pending

Testing the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernovae

J. A. S. Lima, M. B. Ribeiro, R. F. L. Holanda

arxiv:1005.4458 v2 · 2010-05-25 · astro-ph.CO · gr-qc

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBBIYKC4RSEWFVBD6YZ52BOEH2}

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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

2 papers in Pith

Model-independent test of the cosmic distance duality relation with recent observational data

Cosmology-Independent Constraints on the Etherington Relation and SNeIa Absolute Magnitude Evolution from DESI-DR2

Receipt and verification

First computed	2026-05-18T04:34:27.503336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10428c285c8c8962d423f633dd05c43eac1d8669235c4c1e3b633187a2b08054

Aliases

arxiv: 1005.4458 · arxiv_version: 1005.4458v2 · doi: 10.48550/arxiv.1005.4458 · pith_short_12: CBBIYKC4RSEW · pith_short_16: CBBIYKC4RSEWFVBD · pith_short_8: CBBIYKC4

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/CBBIYKC4RSEWFVBD6YZ52BOEH2 \
  | 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: 10428c285c8c8962d423f633dd05c43eac1d8669235c4c1e3b633187a2b08054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9263fb5d37838eae30bfcbe63bac089d179a44fcefa05b00e6efb1dddd94bf60",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-05-25T00:03:48Z",
    "title_canon_sha256": "7f706418f7d77deffaf73b87b6708dd9b77d03ddd292c51c9a50af4136628d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4458",
    "kind": "arxiv",
    "version": 2
  }
}