Pith Number

pith:EO4XEE5N

pith:2022:EO4XEE5NV46Q6CFMGAIJQYDSSE

not attested not anchored not stored refs pending

Generic modification of gravity, late time acceleration and Hubble tension

Mayukh R. Gangopadhyay, Mohit K. Sharma, M. Sami, Shibesh K. Jas Pacif

arxiv:2211.12041 v1 · 2022-11-22 · 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{EO4XEE5NV46Q6CFMGAIJQYDSSE}

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	2026-07-05T05:18:12.356810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b97213adaf3d0f08ac3010986072910ff345cedafd631d61bb9ed4cac9c59c

Aliases

arxiv: 2211.12041 · arxiv_version: 2211.12041v1 · doi: 10.48550/arxiv.2211.12041 · pith_short_12: EO4XEE5NV46Q · pith_short_16: EO4XEE5NV46Q6CFM · pith_short_8: EO4XEE5N

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/EO4XEE5NV46Q6CFMGAIJQYDSSE \
  | 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: 23b97213adaf3d0f08ac3010986072910ff345cedafd631d61bb9ed4cac9c59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34215b98da90f44b8606382e3bc3d9c10d7ce2b1736444b02327b29e4843863f",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-22T06:24:13Z",
    "title_canon_sha256": "3a7757dc41aa227e92df56837678b62cf7c06fb44613fed4b7ce8fb8e1a03fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12041",
    "kind": "arxiv",
    "version": 1
  }
}