Pith Number

pith:KDCQPHRK

pith:2023:KDCQPHRKUGYAPA5NS477GHDRX6

not attested not anchored not stored refs pending

Clustering of Primordial Black Holes from QCD Axion Bubbles

Fuminobu Takahashi, Kai Murai, Kentaro Kasai, Masahiro Kawasaki, Naoya Kitajima, Shunsuke Neda

arxiv:2305.13023 v4 · 2023-05-22 · astro-ph.CO · 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{KDCQPHRKUGYAPA5NS477GHDRX6}

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

2 papers in Pith

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

Merger rate of initially clustered primordial black holes for the two-body channel

Receipt and verification

First computed	2026-07-05T11:38:21.601592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50c5079e2aa1b00783ad973ff31c71bf9ccfa824c3b34fbce8218300ff3f294b

Aliases

arxiv: 2305.13023 · arxiv_version: 2305.13023v4 · doi: 10.48550/arxiv.2305.13023 · pith_short_12: KDCQPHRKUGYA · pith_short_16: KDCQPHRKUGYAPA5N · pith_short_8: KDCQPHRK

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/KDCQPHRKUGYAPA5NS477GHDRX6 \
  | 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: 50c5079e2aa1b00783ad973ff31c71bf9ccfa824c3b34fbce8218300ff3f294b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3bfe94244c2dc75bbace27f42521eb9829f43a0190372cc6ce270b6e400628e",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-05-22T13:26:08Z",
    "title_canon_sha256": "987e2d1821d0875fe1f85ec5d1c458fa167fdb2e9e5846bd32802b1c3a62ad39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.13023",
    "kind": "arxiv",
    "version": 4
  }
}