Pith Number

pith:WFY4HPOC

pith:2006:WFY4HPOCOUMSH6UHXQZOP5TQGD

not attested not anchored not stored refs pending

The matter power spectrum in f(R) gravity

Tomi Koivisto

arxiv:astro-ph/0602031 v2 · 2006-02-01 · 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{WFY4HPOCOUMSH6UHXQZOP5TQGD}

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	2026-07-04T15:22:18.181654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b171c3bdc2751923fa87bc32e7f67030c81d441288489fcd6f50c62a481b537f

Aliases

arxiv: astro-ph/0602031 · arxiv_version: astro-ph/0602031v2 · doi: 10.48550/arxiv.astro-ph/0602031 · pith_short_12: WFY4HPOCOUMS · pith_short_16: WFY4HPOCOUMSH6UH · pith_short_8: WFY4HPOC

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/WFY4HPOCOUMSH6UHXQZOP5TQGD \
  | 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: b171c3bdc2751923fa87bc32e7f67030c81d441288489fcd6f50c62a481b537f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6feb74435bdc3e725e5a7fdf548170693d3db1c41b5b7a1bca0995dfb540b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-02-01T22:28:36Z",
    "title_canon_sha256": "abfbf703da83e48346a0dfb142a1d53bda5382c8a2e564217892fdc1f8260888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0602031",
    "kind": "arxiv",
    "version": 2
  }
}