Pith Number

pith:T5PXG2X4

pith:2026:T5PXG2X4Q3ZZ7WJDWXZE7GUS25

not attested not anchored not stored refs pending

Testing Exponential $f(R)$ Gravity with CMB, DESI-DR2, and Supernova Data

Anirudh Pradhan, Archana Dixit, M. S. Barak, Saurabh Verma

arxiv:2606.02666 v1 · 2026-06-01 · 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{T5PXG2X4Q3ZZ7WJDWXZE7GUS25}

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	2026-06-03T00:05:05.965325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5f736afc86f39fd923b5f24f9a92d75502f777580e8e8661d1a3654c19f4d6

Aliases

arxiv: 2606.02666 · arxiv_version: 2606.02666v1 · doi: 10.48550/arxiv.2606.02666 · pith_short_12: T5PXG2X4Q3ZZ · pith_short_16: T5PXG2X4Q3ZZ7WJD · pith_short_8: T5PXG2X4

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/T5PXG2X4Q3ZZ7WJDWXZE7GUS25 \
  | 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: 9f5f736afc86f39fd923b5f24f9a92d75502f777580e8e8661d1a3654c19f4d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0008f4dae2ae002ecdae31429f9ba521af233bd45611319ef837a059faed1224",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-01T10:10:44Z",
    "title_canon_sha256": "31bdce4db979275ca52d1a01ce4e9b4bafce09e128dd0e5bd2540becca8b9307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02666",
    "kind": "arxiv",
    "version": 1
  }
}