Pith Number

pith:7CWJ3ZNY

pith:2024:7CWJ3ZNYTQ4QH6WMYM2N6EEHYC

not attested not anchored not stored refs pending

Testing the cosmic distance duality relation using Type Ia supernovae and radio quasars through model-independent methods

Bing Xu, Fan Yang, Kaituo Zhang, Xiangyun Fu, Yang Huang, Ying Yang

arxiv:2407.05559 v3 · 2024-07-08 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CWJ3ZNYTQ4QH6WMYM2N6EEHYC}

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

2 papers in Pith

Can Distance Duality Violation Save Late-time Solutions to the Hubble Tension?

Revisiting the angular size-redshift cosmological test with milliarcsecond radio structures in active galactic nuclei

Receipt and verification

First computed	2026-07-05T08:45:30.504093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ac9de5b89c3903faccc334df1087c0b2c97527884dc8cfb229238df7c49c28

Aliases

arxiv: 2407.05559 · arxiv_version: 2407.05559v3 · doi: 10.48550/arxiv.2407.05559 · pith_short_12: 7CWJ3ZNYTQ4Q · pith_short_16: 7CWJ3ZNYTQ4QH6WM · pith_short_8: 7CWJ3ZNY

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/7CWJ3ZNYTQ4QH6WMYM2N6EEHYC \
  | 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: f8ac9de5b89c3903faccc334df1087c0b2c97527884dc8cfb229238df7c49c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f91ece564cd53ff39fdb30c509745407613de8934cab7c39d90f61fc3d5110",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-07-08T02:29:33Z",
    "title_canon_sha256": "a70cbc12c5f7c3a9499a249d20583a55240a44be4a52f53d11c0d53254dd4e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05559",
    "kind": "arxiv",
    "version": 3
  }
}