Pith Number

pith:BYYKDOST

pith:2018:BYYKDOSTKGPTUDNN4IT7LFKZSV

not attested not anchored not stored refs pending

Clusters of primordial black holes

Alexander A. Kirillov, Ekaterina A. Esipova, Igor V. Svadkovsky, Konstantin M. Belotsky, Leonid A. Khromykh, Maxim Yu. Khlopov, Sergey G. Rubin, Valeriy V. Nikulin, Vyacheslav I. Dokuchaev, Yury N. Eroshenko

arxiv:1807.06590 v2 · 2018-07-17 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYYKDOSTKGPTUDNN4IT7LFKZSV}

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

5 papers in Pith

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

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

Hunting Dark Matter with the Einstein Telescope

Microscopic primordial black holes as macroscopic dark matter from large extra dimensions

Probing Primordial Black Holes with upcoming Radio Telescopes: a case study for LOFAR2.0, FAST Core Array and BINGO

Receipt and verification

First computed	2026-05-17T23:49:52.696507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e30a1ba53519f3a0dade227f59559957ab10a81130655e6d9c30e734e112b79

Aliases

arxiv: 1807.06590 · arxiv_version: 1807.06590v2 · doi: 10.48550/arxiv.1807.06590 · pith_short_12: BYYKDOSTKGPT · pith_short_16: BYYKDOSTKGPTUDNN · pith_short_8: BYYKDOST

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/BYYKDOSTKGPTUDNN4IT7LFKZSV \
  | 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: 0e30a1ba53519f3a0dade227f59559957ab10a81130655e6d9c30e734e112b79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c745df0935711d8d6567575c314a07b121274cf2bdf2187c22652b454f7c57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-07-17T07:34:47Z",
    "title_canon_sha256": "6d4ecfb1ad6b31f2fbc393e6af50c3a81d7391ca5dc8b8865fd85c86e8f0612c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06590",
    "kind": "arxiv",
    "version": 2
  }
}