Pith Number

pith:R6AVOATR

pith:2010:R6AVOATRBTRUIFITZE5C72VXZF

not attested not anchored not stored refs pending

Phantom boundary crossing and anomalous growth index of fluctuations in viable f(R) models of cosmic acceleration

Alexei A. Starobinsky, Hayato Motohashi, Jun'ichi Yokoyama

arxiv:1002.1141 v2 · 2010-02-05 · 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{R6AVOATRBTRUIFITZE5C72VXZF}

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.

Receipt and verification

First computed	2026-07-04T17:30:16.318799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f815702710ce3441513c93a2feab7c95ba1b84d066e477a489539464f7f0f22

Aliases

arxiv: 1002.1141 · arxiv_version: 1002.1141v2 · doi: 10.48550/arxiv.1002.1141 · pith_short_12: R6AVOATRBTRU · pith_short_16: R6AVOATRBTRUIFIT · pith_short_8: R6AVOATR

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/R6AVOATRBTRUIFITZE5C72VXZF \
  | 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: 8f815702710ce3441513c93a2feab7c95ba1b84d066e477a489539464f7f0f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273c5b35aa904adec6c7ffa41e55f4a5614340fce601610e7c6c63850ab16502",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-02-05T07:36:37Z",
    "title_canon_sha256": "f98e2751f9082ab0b96f705917736243d55987da2f6e760da7d3391ba6aad0dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1141",
    "kind": "arxiv",
    "version": 2
  }
}