Pith Number

pith:SOCX7OJ6

pith:2008:SOCX7OJ6RPBBGRCODVPAKLJVCF

not attested not anchored not stored refs pending

Gravitational wave background as a probe of the primordial black hole abundance

Jun'ichi Yokoyama, Ryo Saito

arxiv:0812.4339 v2 · 2008-12-23 · astro-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOCX7OJ6RPBBGRCODVPAKLJVCF}

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

8 papers in Pith

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

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

Scalar-induced gravitational waves with non-Gaussianity up to all orders

Scalar induced gravitational waves review

Primordial Black Holes as Dark Matter: Recent Developments

Receipt and verification

First computed	2026-05-18T04:18:53.475543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93857fb93e8bc213444e1d5e052d3511666a154900b987cb5cec003d43b0b822

Aliases

arxiv: 0812.4339 · arxiv_version: 0812.4339v2 · doi: 10.48550/arxiv.0812.4339 · pith_short_12: SOCX7OJ6RPBB · pith_short_16: SOCX7OJ6RPBBGRCO · pith_short_8: SOCX7OJ6

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/SOCX7OJ6RPBBGRCODVPAKLJVCF \
  | 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: 93857fb93e8bc213444e1d5e052d3511666a154900b987cb5cec003d43b0b822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183fe1cb39f0143374ac7e2a9d71e32aae1c1c0323c529d0535183d46afb14a3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-12-23T10:05:57Z",
    "title_canon_sha256": "dc45a8941d8c5fdd5170f2085696c1509f03912e74eb1a3234252026607595ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4339",
    "kind": "arxiv",
    "version": 2
  }
}