Pith Number

pith:7CM3YKL3

pith:2022:7CM3YKL3TKTRM7VPOBFHP5VYUN

not attested not anchored not stored refs pending

Ruling out Initially Clustered Primordial Black Holes as Dark Matter

A. Riotto, G. Franciolini, H. Veerm\"ae, V. De Luca

arxiv:2208.01683 v2 · 2022-08-02 · astro-ph.CO · gr-qc · hep-ph · 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{7CM3YKL3TKTRM7VPOBFHP5VYUN}

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

Constraining supermassive primordial black hole clustering with the angular auto-correlation of $z\simeq 6$ quasars

Constraints on primordial black holes from the first part of LIGO-Virgo-KAGRA fourth observing run

GW231123: A Possible Primordial Black Hole Origin

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

Inflation driven by repulsive-like primordial black holes

Receipt and verification

First computed	2026-07-05T05:16:21.894023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f899bc297b9aa7167eaf704a77f6b8a356b52ae6467462147dcb6942de73d877

Aliases

arxiv: 2208.01683 · arxiv_version: 2208.01683v2 · doi: 10.48550/arxiv.2208.01683 · pith_short_12: 7CM3YKL3TKTR · pith_short_16: 7CM3YKL3TKTRM7VP · pith_short_8: 7CM3YKL3

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/7CM3YKL3TKTRM7VPOBFHP5VYUN \
  | 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: f899bc297b9aa7167eaf704a77f6b8a356b52ae6467462147dcb6942de73d877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca3a5efe8cca83584281de463c78e86a210e5c5cfd9c753edaeb728f54b5b3e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-08-02T18:17:35Z",
    "title_canon_sha256": "641546a96aa8574644cdb0c272f4a8514d673cf473cebed29a687e2a78b9c73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.01683",
    "kind": "arxiv",
    "version": 2
  }
}