Pith Number

pith:4VI4KDW4

pith:2025:4VI4KDW4YCJTCDK6ZBLMDQBP4Y

not attested not anchored not stored refs pending

Exploring Hubble Tension Alleviation through Neutrino-Coupled Perturbed $f(R)$ Gravity

Muhammad Yarahmadi

arxiv:2502.03190 v2 · 2025-02-05 · gr-qc · 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{4VI4KDW4YCJTCDK6ZBLMDQBP4Y}

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.

Receipt and verification

First computed	2026-07-05T11:44:00.856495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e551c50edcc093310d5ec856c1c02fe6038149c56c07cc492a6f2826346b2330

Aliases

arxiv: 2502.03190 · arxiv_version: 2502.03190v2 · doi: 10.48550/arxiv.2502.03190 · pith_short_12: 4VI4KDW4YCJT · pith_short_16: 4VI4KDW4YCJTCDK6 · pith_short_8: 4VI4KDW4

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/4VI4KDW4YCJTCDK6ZBLMDQBP4Y \
  | 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: e551c50edcc093310d5ec856c1c02fe6038149c56c07cc492a6f2826346b2330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814df90c4a5456cb2ef5b0b3e17bc8bc9a2fcba79e34e5a323ecd52c76f6eabb",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-05T14:07:08Z",
    "title_canon_sha256": "16a3aa1c28ecf9cfc47bb69b598d78ba6c3ae65468a851cd0dbf983335362e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03190",
    "kind": "arxiv",
    "version": 2
  }
}