Pith Number

pith:4LVR62R2

pith:2020:4LVR62R2ASEGKN7BJZZUIIPVXJ

not attested not anchored not stored refs pending

The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Antonio Riotto, Gabriele Franciolini, Ilia Musco, Valerio De Luca

arxiv:2011.03014 v2 · 2020-11-05 · 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{4LVR62R2ASEGKN7BJZZUIIPVXJ}

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

15 papers in Pith

Memoirs of the curvaton: non-perturbative non-Gaussianity and supermassive primordial black holes

Compaction function in stochastic inflation: a \texttt{FOREST} of type I and II primordial black holes

Saturation Equations of State in Critical Gravitational Collapse: The Primordial Black Hole Threshold

Curvature Perturbations from First-Order Phase Transitions: Implications to Black Holes and Gravitational Waves

Primordial black holes and magnetic fields in conformal neutrino mass models

Receipt and verification

First computed	2026-07-05T02:28:06.642255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2eb1f6a3a04886537e14e734421f5ba66b9c3e98a5f415888ebde32f01dfea1

Aliases

arxiv: 2011.03014 · arxiv_version: 2011.03014v2 · doi: 10.48550/arxiv.2011.03014 · pith_short_12: 4LVR62R2ASEG · pith_short_16: 4LVR62R2ASEGKN7B · pith_short_8: 4LVR62R2

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/4LVR62R2ASEGKN7BJZZUIIPVXJ \
  | 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: e2eb1f6a3a04886537e14e734421f5ba66b9c3e98a5f415888ebde32f01dfea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c191bbbfe33d4faf75dbeed74abb06e4d3f24e3c029d50742a22bef0a0617253",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-05T18:18:19Z",
    "title_canon_sha256": "1398b3cfc1da55d3a2c4955013cee1292b4b510013148aa6ce68b6529c714770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.03014",
    "kind": "arxiv",
    "version": 2
  }
}