Pith Number

pith:USETJ4EG

pith:2009:USETJ4EG4GZVVDCG4WNBWJKY2W

not attested not anchored not stored refs pending

Curing singularities in cosmological evolution of F(R) gravity

Alexei Starobinsky, Richard Battye, Stephen Appleby

arxiv:0909.1737 v3 · 2009-09-09 · astro-ph.CO · gr-qc · 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{USETJ4EG4GZVVDCG4WNBWJKY2W}

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

2 papers in Pith

On Legacy of Starobinsky Inflation

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-05-18T02:24:47.291849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a48934f086e1b35a8c46e59a1b2558d58257d10430403757e460e3c18549bece

Aliases

arxiv: 0909.1737 · arxiv_version: 0909.1737v3 · doi: 10.48550/arxiv.0909.1737 · pith_short_12: USETJ4EG4GZV · pith_short_16: USETJ4EG4GZVVDCG · pith_short_8: USETJ4EG

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/USETJ4EG4GZVVDCG4WNBWJKY2W \
  | 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: a48934f086e1b35a8c46e59a1b2558d58257d10430403757e460e3c18549bece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c628dfecbd3de7ca19410501803ac242ec9bdc88a64105a5db1cc650fbd6bd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-09T16:40:32Z",
    "title_canon_sha256": "85edaf13a4742d77c0d09149e4576bfc25bb1ac0cbaa813d69c7a7119cf64c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1737",
    "kind": "arxiv",
    "version": 3
  }
}