Pith Number

pith:KRNT2OHZ

pith:1999:KRNT2OHZ26T5XKEHRD3VTOOGE3

not attested not anchored not stored refs pending

Critical collapse and the primordial black hole initial mass function

Andrew R Liddle, Anne M Green

arxiv:astro-ph/9901268 v2 · 1999-01-20 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRNT2OHZ26T5XKEHRD3VTOOGE3}

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

7 papers in Pith

Primordial black holes in excursion set theory: Formation probabilities, mass functions, and window functions

Unveiling horizons in quantum critical collapse

Quantum Critical Collapse Abhors a Naked Singularity

Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-05-18T01:08:01.278334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545b3d38f9d7a7dba88788f759b9c626f238ef24334fb03b5eb6cdc1ffcc0861

Aliases

arxiv: astro-ph/9901268 · arxiv_version: astro-ph/9901268v2 · doi: 10.48550/arxiv.astro-ph/9901268 · pith_short_12: KRNT2OHZ26T5 · pith_short_16: KRNT2OHZ26T5XKEH · pith_short_8: KRNT2OHZ

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/KRNT2OHZ26T5XKEHRD3VTOOGE3 \
  | 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: 545b3d38f9d7a7dba88788f759b9c626f238ef24334fb03b5eb6cdc1ffcc0861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0a94ea4c7f427842f9f94e9f8e7e60e3f3e78f2aca782fef61649132847250",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-01-20T11:49:14Z",
    "title_canon_sha256": "4d55cfce6d4efdb3f3cd6dc8520f21633bb0c92c5675e5d644fb337bf41f8b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9901268",
    "kind": "arxiv",
    "version": 2
  }
}