Pith Number

pith:IAJU2KCZ

pith:2013:IAJU2KCZWRYK5GXUSHJSCU5XIC

not attested not anchored not stored refs pending

Cosmological perturbations in $F(R)$ gravity

Jiro Matsumoto

arxiv:1303.6828 v2 · 2013-03-27 · hep-th · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAJU2KCZWRYK5GXUSHJSCU5XIC}

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	2026-05-18T03:26:40.766441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40134d2859b470ae9af491d32153b740a1af46657ea02209716b2c5b763f0849

Aliases

arxiv: 1303.6828 · arxiv_version: 1303.6828v2 · doi: 10.48550/arxiv.1303.6828 · pith_short_12: IAJU2KCZWRYK · pith_short_16: IAJU2KCZWRYK5GXU · pith_short_8: IAJU2KCZ

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/IAJU2KCZWRYK5GXUSHJSCU5XIC \
  | 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: 40134d2859b470ae9af491d32153b740a1af46657ea02209716b2c5b763f0849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3104856e9aefb01ee0798d0e971e55b83eb4944b043ba7d1486d0e38a104560d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-03-27T13:34:55Z",
    "title_canon_sha256": "90b8e6417331c162b8ce466815f357a2be948997eb5ac6af08bef2e8e0125d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6828",
    "kind": "arxiv",
    "version": 2
  }
}