Pith Number

pith:CVQVMVFZ

pith:2020:CVQVMVFZEQOW7RZ6RCDZQYEMCD

not attested not anchored not stored refs pending

Threshold of Primordial Black Hole Formation in Nonspherical Collapse

Chul-Moon Yoo, Hirotada Okawa, Tomohiro Harada

arxiv:2004.01042 v3 · 2020-04-01 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVQVMVFZEQOW7RZ6RCDZQYEMCD}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T05:41:13.580463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15615654b9241d6fc73e888798608c10f576cc634780ef6231a01a99746c2398

Aliases

arxiv: 2004.01042 · arxiv_version: 2004.01042v3 · doi: 10.48550/arxiv.2004.01042 · pith_short_12: CVQVMVFZEQOW · pith_short_16: CVQVMVFZEQOW7RZ6 · pith_short_8: CVQVMVFZ

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/CVQVMVFZEQOW7RZ6RCDZQYEMCD \
  | 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: 15615654b9241d6fc73e888798608c10f576cc634780ef6231a01a99746c2398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "958991b8d18d17f6e8e8dd2070f6f160626d84ab74aa7fa0ec24ede1ac65ab51",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-01T03:14:22Z",
    "title_canon_sha256": "b2d6dbddde12c614f2fd922afb1ec8e5f055afef2b94f7dcc75adc57dc928c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.01042",
    "kind": "arxiv",
    "version": 3
  }
}