Pith Number

pith:BXPBLHYV

pith:2019:BXPBLHYVLE44PVRWRQXLDX7FQX

not attested not anchored not stored refs pending

A universal threshold for primordial black hole formation

Albert Escriv\`a, Cristiano Germani, Ravi K. Sheth

arxiv:1907.13311 v3 · 2019-07-31 · gr-qc · astro-ph.CO · 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{BXPBLHYVLE44PVRWRQXLDX7FQX}

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

21 papers in Pith

The statistics of curvature-profile dispersion in primordial black hole formation

Primordial Black Holes: A Review of Formation and Evolution

Reheating as a variational probe of cosmological observables

Are Primordial Black Holes a Natural Dark Matter Candidate?

Primordial Black Holes from Slow Phase Transitions with Delayed Reheating: A Peak-Theory Approach

Receipt and verification

First computed	2026-07-05T00:41:33.794588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dde159f155939c7d6368c2eb1dfe585f43453e4a8bde14a9b3044d03b8daee7

Aliases

arxiv: 1907.13311 · arxiv_version: 1907.13311v3 · doi: 10.48550/arxiv.1907.13311 · pith_short_12: BXPBLHYVLE44 · pith_short_16: BXPBLHYVLE44PVRW · pith_short_8: BXPBLHYV

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/BXPBLHYVLE44PVRWRQXLDX7FQX \
  | 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: 0dde159f155939c7d6368c2eb1dfe585f43453e4a8bde14a9b3044d03b8daee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0f94e62d90c0f555aab92ddd64044e6b974c98088ba4cfef9667b7b7e5fb40",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-31T05:21:22Z",
    "title_canon_sha256": "07ad2d91c9bb06f913ae2a8f0a0bdac98269ba92816b727c15d02c2bf9098f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.13311",
    "kind": "arxiv",
    "version": 3
  }
}