Pith Number

pith:CCWDQ3SQ

pith:2006:CCWDQ3SQUVV4MOUPB4RHXOCSBX

not attested not anchored not stored refs pending

Are f(R) dark energy models cosmologically viable ?

David Polarski (LPTA France), Luca Amendola (INAF/OAR Italy), Shinji Tsujikawa (Gunma Nat. Coll. Techn. Japan)

arxiv:astro-ph/0603703 v2 · 2006-03-27 · astro-ph · 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{CCWDQ3SQUVV4MOUPB4RHXOCSBX}

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

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-07-04T15:25:45.491943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ac386e50a56bc63a8f0f227bb8520de0e6a9173a2b110915c33a4f8c50aa4d

Aliases

arxiv: astro-ph/0603703 · arxiv_version: astro-ph/0603703v2 · doi: 10.48550/arxiv.astro-ph/0603703 · pith_short_12: CCWDQ3SQUVV4 · pith_short_16: CCWDQ3SQUVV4MOUP · pith_short_8: CCWDQ3SQ

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/CCWDQ3SQUVV4MOUPB4RHXOCSBX \
  | 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: 10ac386e50a56bc63a8f0f227bb8520de0e6a9173a2b110915c33a4f8c50aa4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab34fac81bbf127bbefff14f380dcb1f186ab4e1f506ebde550058690b06078",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-03-27T01:40:24Z",
    "title_canon_sha256": "04c993e1a10cadcbc3b81c70f7cce16fb0ebe347c4e019156b1ef3abfb0e9d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0603703",
    "kind": "arxiv",
    "version": 2
  }
}