Pith Number

pith:2R2VUQF2

pith:2008:2R2VUQF25HUDGC643PX3PPRIXM

not attested not anchored not stored refs pending

On the evolution of density perturbations in f(R) theories of gravity

A. de la Cruz-Dombriz, A. Dobado, A. L. Maroto

arxiv:0802.2999 v2 · 2008-02-21 · 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{2R2VUQF25HUDGC643PX3PPRIXM}

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

Cosmological phase space of generalized hybrid metric-Palatini theories of gravity

Receipt and verification

First computed	2026-07-04T15:31:02.011423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4755a40bae9e8330bdcdbefb7be28bb1b1a23c508e88942eea87c8e1ce61dc6

Aliases

arxiv: 0802.2999 · arxiv_version: 0802.2999v2 · doi: 10.48550/arxiv.0802.2999 · pith_short_12: 2R2VUQF25HUD · pith_short_16: 2R2VUQF25HUDGC64 · pith_short_8: 2R2VUQF2

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/2R2VUQF25HUDGC643PX3PPRIXM \
  | 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: d4755a40bae9e8330bdcdbefb7be28bb1b1a23c508e88942eea87c8e1ce61dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348870a59aa6ce51d5cff19b7462388597fc6ef7978666ead09de155f2c46b7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-02-21T17:37:16Z",
    "title_canon_sha256": "174249de54b478dc3a95845154da336d91a0b38412e6d2acc7a31ad547e8b3df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2999",
    "kind": "arxiv",
    "version": 2
  }
}