Pith Number

pith:TQF4C4XR

pith:2024:TQF4C4XRVIHTY5DMU6XQYNZQIE

not attested not anchored not stored refs pending

The redshift dependence of the inferred $H_0$ in a local void solution to the Hubble tension

Indranil Banik, Pavel Kroupa, Sergij Mazurenko

arxiv:2412.12245 v2 · 2024-12-16 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQF4C4XRVIHTY5DMU6XQYNZQIE}

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

New constraints on cosmic anisotropy from galaxy clusters using an improved dipole fitting method

Receipt and verification

First computed	2026-07-05T09:58:26.881622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0bc172f1aa0f3c746ca7af0c3730412c9f37fda0d6dfdcc090d4239d3efa24

Aliases

arxiv: 2412.12245 · arxiv_version: 2412.12245v2 · doi: 10.48550/arxiv.2412.12245 · pith_short_12: TQF4C4XRVIHT · pith_short_16: TQF4C4XRVIHTY5DM · pith_short_8: TQF4C4XR

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/TQF4C4XRVIHTY5DMU6XQYNZQIE \
  | 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: 9c0bc172f1aa0f3c746ca7af0c3730412c9f37fda0d6dfdcc090d4239d3efa24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d27a78df5eb6bd8ff4ec2452406e9ad00193d24e788953ec516f41c0ffdbd5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-12-16T19:00:00Z",
    "title_canon_sha256": "bba47bc35f4c3ce022320143577b954b1e9f9ce8b0650c0e87f223564366f439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12245",
    "kind": "arxiv",
    "version": 2
  }
}