Pith Number

pith:W57CKU3Y

pith:2024:W57CKU3YYJ6PJJCKT4AJ7RBSIM

not attested not anchored not stored refs pending

The History of Primordial Black Holes

Anne M. Green, Bernard J. Carr

arxiv:2406.05736 v4 · 2024-06-09 · 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{W57CKU3YYJ6PJJCKT4AJ7RBSIM}

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

Carr criterion and mass gaps in non-singular primordial black hole formation

Effects of formation channels and gravitational lensing on stochastic gravitational wave background

Regular black holes with gravitational self-energy as dark matter

Tachyonic gravitational dark matter production after inflation

Primordial black holes and the velocity acoustic oscillations features in 21 cm signals from the cosmic Dark Ages

Receipt and verification

First computed	2026-07-05T10:59:58.794900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77e255378c27cf4a44a9f009fc432432784aedcae5e1445beae5c24f1745d6d

Aliases

arxiv: 2406.05736 · arxiv_version: 2406.05736v4 · doi: 10.48550/arxiv.2406.05736 · pith_short_12: W57CKU3YYJ6P · pith_short_16: W57CKU3YYJ6PJJCK · pith_short_8: W57CKU3Y

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/W57CKU3YYJ6PJJCKT4AJ7RBSIM \
  | 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: b77e255378c27cf4a44a9f009fc432432784aedcae5e1445beae5c24f1745d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d0eb43e22cb4547a5198f206e67685315f31b7e3e9719f7c17d6d62ead5a7d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-06-09T11:08:41Z",
    "title_canon_sha256": "a3dc08481948957d84756fb0fcf56b176fc1bf489093dc8ecd6398fd5ea860b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.05736",
    "kind": "arxiv",
    "version": 4
  }
}