Pith Number

pith:NW7ZAFIH

pith:2022:NW7ZAFIHG4WHIKEPJR3OKRZR4M

not attested not anchored not stored refs pending

$f(R)$ gravity in the Jordan Frame as a Paradigm for the Hubble Tension

Flavio Bombacigno, Giovanni Montani, Tiziano Schiavone

arxiv:2211.16737 v4 · 2022-11-30 · 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{NW7ZAFIHG4WHIKEPJR3OKRZR4M}

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

4 papers in Pith

Unified dark sector and Hubble-tension alleviation in scalar-vector-tensor gravity

Theoretical and observational constraints on early dark energy in $F(R)$ gravity

Revisiting the Matter Creation Process: Observational Constraints on Gravitationally Induced Dark Energy and the Hubble Tension

Redshift evolution of the Hubble constant: Constraints and new insights from an interacting dark energy model

Receipt and verification

First computed	2026-07-05T05:59:42.230883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dbf901507372c74288f4c76e54731e3038cb6ecd6496c85c7b3f3c38e8da92a

Aliases

arxiv: 2211.16737 · arxiv_version: 2211.16737v4 · doi: 10.48550/arxiv.2211.16737 · pith_short_12: NW7ZAFIHG4WH · pith_short_16: NW7ZAFIHG4WHIKEP · pith_short_8: NW7ZAFIH

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/NW7ZAFIHG4WHIKEPJR3OKRZR4M \
  | 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: 6dbf901507372c74288f4c76e54731e3038cb6ecd6496c85c7b3f3c38e8da92a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab76dd1bd1fd9096cf009a402bc0b262e547e3d5f3f615de527587bded29e406",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-30T04:49:53Z",
    "title_canon_sha256": "30fdb15a4872d27dea6633b84b58ce254c21d846526e0f70c201a2f4df6b94fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.16737",
    "kind": "arxiv",
    "version": 4
  }
}