Pith Number

pith:J5JOZHSH

pith:2021:J5JOZHSHW5JRUVP3EKNE2ORS4K

not attested not anchored not stored refs pending

Scalar induced gravitational waves from primordial black hole Poisson fluctuations in $f(R)$ gravity

Charalampos Tzerefos, Emmanuel N. Saridakis, Spyros Basilakos, Theodoros Papanikolaou

arxiv:2112.15059 v3 · 2021-12-30 · 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{J5JOZHSHW5JRUVP3EKNE2ORS4K}

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

Reconstructing Primordial Curvature Perturbations via Scalar-Induced Gravitational Waves with LISA

Receipt and verification

First computed	2026-07-05T05:05:29.900692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f52ec9e47b7531a55fb229a4d3a32e2a1bdd60802a56b43b1b655bc9b82a1a9

Aliases

arxiv: 2112.15059 · arxiv_version: 2112.15059v3 · doi: 10.48550/arxiv.2112.15059 · pith_short_12: J5JOZHSHW5JR · pith_short_16: J5JOZHSHW5JRUVP3 · pith_short_8: J5JOZHSH

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/J5JOZHSHW5JRUVP3EKNE2ORS4K \
  | 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: 4f52ec9e47b7531a55fb229a4d3a32e2a1bdd60802a56b43b1b655bc9b82a1a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb659025b57b387bab7b1cb91c94e97688db1872190690f45e8752cab464310",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-12-30T13:46:34Z",
    "title_canon_sha256": "196597c46e372d7df08639b5e7258f5ac5e8631d6830576b95863619302d71cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15059",
    "kind": "arxiv",
    "version": 3
  }
}