Pith Number

pith:U5H4U4GX

pith:2006:U5H4U4GXI65YLCI6NQPKVEKUHX

not attested not anchored not stored refs pending

Conditions for the cosmological viability of f(R) dark energy models

David Polarski, Luca Amendola, Radouane Gannouji, Shinji Tsujikawa

arxiv:gr-qc/0612180 v2 · 2006-12-28 · gr-qc · astro-ph · 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{U5H4U4GXI65YLCI6NQPKVEKUHX}

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

Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity

Cosmology in symmetric teleparallel gravity and its dynamical system

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

Receipt and verification

First computed	2026-07-04T15:21:59.711768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a74fca70d747bb85891e6c1eaa91543dcd11c383be238b6b196dd5ab47f626b1

Aliases

arxiv: gr-qc/0612180 · arxiv_version: gr-qc/0612180v2 · doi: 10.48550/arxiv.gr-qc/0612180 · pith_short_12: U5H4U4GXI65Y · pith_short_16: U5H4U4GXI65YLCI6 · pith_short_8: U5H4U4GX

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/U5H4U4GXI65YLCI6NQPKVEKUHX \
  | 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: a74fca70d747bb85891e6c1eaa91543dcd11c383be238b6b196dd5ab47f626b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb63f4727148ab7063cb31edf59eb14914be9ec56746d53a994e38cff8001e05",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-28T14:17:09Z",
    "title_canon_sha256": "6eddec7e2d024618d8f091eae6f329f542379292d7c74bc688591ba6395f240b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612180",
    "kind": "arxiv",
    "version": 2
  }
}