Pith Number

pith:TVVRKIQ7

pith:2020:TVVRKIQ7GVQVDKJRYZZNXOQW44

not attested not anchored not stored refs pending

The Clustering Evolution of Primordial Black Holes

A. Riotto, G. Franciolini, V. De Luca, V. Desjacques

arxiv:2009.04731 v1 · 2020-09-10 · astro-ph.CO · 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{TVVRKIQ7GVQVDKJRYZZNXOQW44}

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

6 papers in Pith

GW231123: A Possible Primordial Black Hole Origin

Science with the Einstein Telescope: a comparison of different designs

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

Inflation driven by repulsive-like primordial black holes

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

Receipt and verification

First computed	2026-07-05T01:53:56.648574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6b15221f356151a931c672dbba16e70bc1cb8a7c2e2f4c4b092b58527f6e10

Aliases

arxiv: 2009.04731 · arxiv_version: 2009.04731v1 · doi: 10.48550/arxiv.2009.04731 · pith_short_12: TVVRKIQ7GVQV · pith_short_16: TVVRKIQ7GVQVDKJR · pith_short_8: TVVRKIQ7

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/TVVRKIQ7GVQVDKJRYZZNXOQW44 \
  | 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: 9d6b15221f356151a931c672dbba16e70bc1cb8a7c2e2f4c4b092b58527f6e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39531dbe8b2ecc9beb78fc46a7e0191e07b1558b0d3c34eb7511bc6f760bfe3e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-09-10T08:54:54Z",
    "title_canon_sha256": "14233cb0be9aa926591bbcbb8ed8e269b46860bd120063c35f584155b3fd3aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.04731",
    "kind": "arxiv",
    "version": 1
  }
}