Pith Number

pith:GJGMQ26W

pith:2004:GJGMQ26WU7L276IDXUTFVGN65J

not attested not anchored not stored refs pending

f(R) theories of gravity in Palatini approach matched with observations

M. Francaviglia, S. Capozziello, V.F. Cardone

arxiv:astro-ph/0410135 v1 · 2004-10-06 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJGMQ26WU7L276IDXUTFVGN65J}

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

ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity

Receipt and verification

First computed	2026-07-04T16:44:55.465071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324cc86bd6a7d7aff903bd265a99beea7fe86c91dd7d542357dfc5775796477c

Aliases

arxiv: astro-ph/0410135 · arxiv_version: astro-ph/0410135v1 · doi: 10.48550/arxiv.astro-ph/0410135 · pith_short_12: GJGMQ26WU7L2 · pith_short_16: GJGMQ26WU7L276ID · pith_short_8: GJGMQ26W

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/GJGMQ26WU7L276IDXUTFVGN65J \
  | 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: 324cc86bd6a7d7aff903bd265a99beea7fe86c91dd7d542357dfc5775796477c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7b19bdde96d780974e00173b49f941a275bf5f8b4ef5468155f176728fd0b1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-10-06T00:45:49Z",
    "title_canon_sha256": "3a75fac3c3fb2437946fcc7c192e3b129d8de9f2732cff3b687d4329706d96a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0410135",
    "kind": "arxiv",
    "version": 1
  }
}