Pith Number

pith:5EKRPX4P

pith:2021:5EKRPX4P3OUVVT7GIWFJNSLQO3

not attested not anchored not stored refs pending

The Minimum Testable Abundance of Primordial Black Holes at Future Gravitational-Wave Detectors

A. Riotto, G. Franciolini, P. Pani, V. De Luca

arxiv:2106.13769 v1 · 2021-06-25 · 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{5EKRPX4P3OUVVT7GIWFJNSLQO3}

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

3 papers in Pith

$\tt BlackHawk$ $\tt v3.0$: Hawking Radiation from Regular Black Holes

GW231123: A Possible Primordial Black Hole Origin

Primordial Black Hole from Tensor-induced Density Fluctuation: First-order Phase Transitions and Domain Walls

Receipt and verification

First computed	2026-07-05T03:34:28.012738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91517df8fdba95acfe6458a96c97076ccf8d0a9db1eedfc866e46af7be90799

Aliases

arxiv: 2106.13769 · arxiv_version: 2106.13769v1 · doi: 10.48550/arxiv.2106.13769 · pith_short_12: 5EKRPX4P3OUV · pith_short_16: 5EKRPX4P3OUVVT7G · pith_short_8: 5EKRPX4P

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/5EKRPX4P3OUVVT7GIWFJNSLQO3 \
  | 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: e91517df8fdba95acfe6458a96c97076ccf8d0a9db1eedfc866e46af7be90799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2c6161b52044bda4cedc436c09adc84feda8193bdef4a0711b13d7bcdfd11c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-25T17:10:34Z",
    "title_canon_sha256": "ae51e04600f3bf31fc01239e697f3f6b8356b62aefda2492f49d088914eecf21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13769",
    "kind": "arxiv",
    "version": 1
  }
}