Pith Number

pith:LXHTAM2U

pith:2025:LXHTAM2UT24EGT2PWUIBEEWOPH

not attested not anchored not stored refs pending

Primordial black hole induced gravitational waves in $f(R)$ gravity

Salvatore Capozziello, Theodoros Papanikolaou

arxiv:2508.03939 v1 · 2025-08-05 · astro-ph.CO · astro-ph.HE · 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{LXHTAM2UT24EGT2PWUIBEEWOPH}

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

3 papers in Pith

Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component

Opening the Window of Ultra-Light PBHs by Exorcising the Poltergeist

Isocurvature Induced Gravitational Waves at Pulsar Timing Arrays

Receipt and verification

First computed	2026-07-05T11:49:17.700578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dcf3033549eb8434f4fb5101212ce79ca37e0678588efe609b4adcbd6ca3919

Aliases

arxiv: 2508.03939 · arxiv_version: 2508.03939v1 · doi: 10.48550/arxiv.2508.03939 · pith_short_12: LXHTAM2UT24E · pith_short_16: LXHTAM2UT24EGT2P · pith_short_8: LXHTAM2U

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/LXHTAM2UT24EGT2PWUIBEEWOPH \
  | 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: 5dcf3033549eb8434f4fb5101212ce79ca37e0678588efe609b4adcbd6ca3919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf1b2a1465f824eb1a36eb8b2d40d8c2ac4aa8748d9ff4ebd9ebe51f5e5526c",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-08-05T22:05:08Z",
    "title_canon_sha256": "2509504d9e7848d74eb1a86334e6fc90be8129e5fe16477fb5a14bde4149b25b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03939",
    "kind": "arxiv",
    "version": 1
  }
}