Pith Number

pith:VFTZMK6H

pith:2011:VFTZMK6HH6QDPBXM4YAIL7W6U7

not attested not anchored not stored refs pending

Palatini Approach to Modified Gravity: f(R) Theories and Beyond

Gonzalo J. Olmo

arxiv:1101.3864 v1 · 2011-01-20 · gr-qc · hep-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{VFTZMK6HH6QDPBXM4YAIL7W6U7}

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

7 papers in Pith

Geometric realization of stress-tensor deformed field theory

Born-Infeld Electrogravity and Dyonic Black Holes

Dynamical system analysis of the cosmological phases in Palatini $k$-essence gravity

Degenerate higher-order scalar-tensor theories in metric-affine gravity

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

Receipt and verification

First computed	2026-05-18T04:22:41.260729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a967962bc73fa03786ece60085fedea7e59898604b83b635d22f57c094aca3ba

Aliases

arxiv: 1101.3864 · arxiv_version: 1101.3864v1 · doi: 10.48550/arxiv.1101.3864 · pith_short_12: VFTZMK6HH6QD · pith_short_16: VFTZMK6HH6QDPBXM · pith_short_8: VFTZMK6H

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/VFTZMK6HH6QDPBXM4YAIL7W6U7 \
  | 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: a967962bc73fa03786ece60085fedea7e59898604b83b635d22f57c094aca3ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a1c0eb2699fee0521d0f542323fe839e8a10fafeaad75f4de354d46ea5c4262",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-20T10:59:19Z",
    "title_canon_sha256": "fb52881e913d37181c4d44e722485b5338903edf674b4ad0a576a975e97512d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3864",
    "kind": "arxiv",
    "version": 1
  }
}