Pith Number

pith:R7GO2EU4

pith:2012:R7GO2EU4WZ2OCV2BNEPULK7HPR

not attested not anchored not stored refs pending

Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era

Antonio Lopez-Revelles, Kazuharu Bamba, L. Sebastiani, R. Myrzakulov, S. D. Odintsov

arxiv:1207.1009 v2 · 2012-07-03 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7GO2EU4WZ2OCV2BNEPULK7HPR}

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

Dark Energy in Ghost-free non-local Gravity

Receipt and verification

First computed	2026-05-18T03:38:34.372589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fcced129cb674e15741691f45abe77c55d4deb66f98799af7e719298f735b21

Aliases

arxiv: 1207.1009 · arxiv_version: 1207.1009v2 · doi: 10.48550/arxiv.1207.1009 · pith_short_12: R7GO2EU4WZ2O · pith_short_16: R7GO2EU4WZ2OCV2B · pith_short_8: R7GO2EU4

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/R7GO2EU4WZ2OCV2BNEPULK7HPR \
  | 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: 8fcced129cb674e15741691f45abe77c55d4deb66f98799af7e719298f735b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b0ac7f29c39e18e12aa849ddd3d381830940a3df20881cce3637bd2c4ff9e8e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-03T12:04:26Z",
    "title_canon_sha256": "9c81b5a828b4d98e26a0549d30660303bb0117dc0389ec00a5b663219c95e7dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1009",
    "kind": "arxiv",
    "version": 2
  }
}