Pith Number

pith:VCFHS52B

pith:2018:VCFHS52BMTLG5NEMPPY7RV4DPJ

not attested not anchored not stored refs pending

Model-independent Test of the Cosmic Distance Duality Relation

Cheng-Zong Ruan, Fulvio Melia, Tong-Jie Zhang

arxiv:1808.09331 v1 · 2018-08-28 · astro-ph.CO · astro-ph.GA · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCFHS52BMTLG5NEMPPY7RV4DPJ}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T00:00:34.840555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a88a79774164d66eb48c7bf1f8d7837a6a4d126563be229d3dd9399e59bdc156

Aliases

arxiv: 1808.09331 · arxiv_version: 1808.09331v1 · doi: 10.48550/arxiv.1808.09331 · pith_short_12: VCFHS52BMTLG · pith_short_16: VCFHS52BMTLG5NEM · pith_short_8: VCFHS52B

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/VCFHS52BMTLG5NEMPPY7RV4DPJ \
  | 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: a88a79774164d66eb48c7bf1f8d7837a6a4d126563be229d3dd9399e59bdc156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2ca6113cea4c7e475b402807e7303df7f7f1c4167625bd95828a0a9dd58e197",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-08-28T14:36:43Z",
    "title_canon_sha256": "22316120b1ebc95b188bf621ae49266da6ca768a32906106e7931963aaf80137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09331",
    "kind": "arxiv",
    "version": 1
  }
}