Pith Number

pith:4QXZ2XWP

pith:2011:4QXZ2XWPO2P7MJI5H6IN4HR3DB

not attested not anchored not stored refs pending

Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations

Antonio De Felice, Shinji Tsujikawa, Tsutomu Kobayashi

arxiv:1108.4242 v2 · 2011-08-22 · gr-qc · astro-ph.CO · 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{4QXZ2XWPO2P7MJI5H6IN4HR3DB}

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

3 papers in Pith

The effects of dark energy on the matter-gravity coupling

Cosmological Dynamics of a Non-Canonical Generalised Brans-Dicke Theory

A Master Equation for Screening in Luminal Horndeski Gravity

Receipt and verification

First computed	2026-05-18T02:00:49.950773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42f9d5ecf769ff6251d3f90de1e3b18556e4fc6c77dcef349acc6241945f4a3

Aliases

arxiv: 1108.4242 · arxiv_version: 1108.4242v2 · doi: 10.48550/arxiv.1108.4242 · pith_short_12: 4QXZ2XWPO2P7 · pith_short_16: 4QXZ2XWPO2P7MJI5 · pith_short_8: 4QXZ2XWP

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/4QXZ2XWPO2P7MJI5H6IN4HR3DB \
  | 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: e42f9d5ecf769ff6251d3f90de1e3b18556e4fc6c77dcef349acc6241945f4a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fdd95a1ec5715126119ed1e653cbeeab63f2f1fd234f914975fc336b7112e8f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-22T06:57:00Z",
    "title_canon_sha256": "c4b4d3b8f596c596b97c34fef8fdfa23194954f9ea6fc4be5fc07f3487bbdf7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4242",
    "kind": "arxiv",
    "version": 2
  }
}