Pith Number

pith:ML3FIQTN

pith:2024:ML3FIQTNFAJMPYGNFS62MZI47N

not attested not anchored not stored refs pending

Testing the Cosmic Distance Duality Relation Using Strong Gravitational Lensing Time Delays and Type Ia Supernovae

Jing-Zhao Qi, Wan-Ting Hou, Xin Zhang, Yi-Fan Jiang

arxiv:2407.07336 v2 · 2024-07-10 · astro-ph.CO · 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{ML3FIQTNFAJMPYGNFS62MZI47N}

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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

3 papers in Pith

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

The Hubble tension: A decade review

HIcosmo: a differentiable JAX-based framework for cosmology inference

Receipt and verification

First computed	2026-07-05T10:01:14.342412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f654426d2812c7e0cd2cbda6651cfb53fc1a130d8155509b509be7d9208c36

Aliases

arxiv: 2407.07336 · arxiv_version: 2407.07336v2 · doi: 10.48550/arxiv.2407.07336 · pith_short_12: ML3FIQTNFAJM · pith_short_16: ML3FIQTNFAJMPYGN · pith_short_8: ML3FIQTN

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/ML3FIQTNFAJMPYGNFS62MZI47N \
  | 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: 62f654426d2812c7e0cd2cbda6651cfb53fc1a130d8155509b509be7d9208c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c081ac9d85f2ac1bdb5f7fb7b668da29b9dc565809fedff5d0674ee5c1317e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-07-10T03:17:18Z",
    "title_canon_sha256": "ded6bff1042b3f9c8c3b5abaed8afa14856feee49eb688fe5382aa72d9ddeedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.07336",
    "kind": "arxiv",
    "version": 2
  }
}