Pith Number

pith:5OZWWRHO

pith:2006:5OZWWRHOD7LM2C4OZ7K6IGAZO5

not attested not anchored not stored refs pending

Limit to General Relativity in f(R) theories of gravity

Gonzalo J. Olmo

arxiv:gr-qc/0612047 v2 · 2006-12-07 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OZWWRHOD7LM2C4OZ7K6IGAZO5}

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

New interpretation of the Minkowski limit of $R^2$ gravity

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

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Ultraviolet completion of Starobinsky inflation

Receipt and verification

First computed	2026-07-04T15:18:49.166531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb36b44ee1fd6cd0b8ecfd5e41819777b65d6726925860abb7ef773ab816e22

Aliases

arxiv: gr-qc/0612047 · arxiv_version: gr-qc/0612047v2 · doi: 10.48550/arxiv.gr-qc/0612047 · pith_short_12: 5OZWWRHOD7LM · pith_short_16: 5OZWWRHOD7LM2C4O · pith_short_8: 5OZWWRHO

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/5OZWWRHOD7LM2C4OZ7K6IGAZO5 \
  | 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: ebb36b44ee1fd6cd0b8ecfd5e41819777b65d6726925860abb7ef773ab816e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9f310b223d692b96e1e80e654ec4a75534457fcdb2df37b60ea64ca064d4a9",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-07T20:26:53Z",
    "title_canon_sha256": "591433c24de0e40326346c3d85ec50ed0e5c5ddd48fed756efdd85975f1d38bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612047",
    "kind": "arxiv",
    "version": 2
  }
}