Pith Number

pith:QDFRLSVZ

pith:2024:QDFRLSVZNPQGLN6HAULFTO7GS7

not attested not anchored not stored refs pending

Primordial Black Hole Formation from the Upward Step Model: Avoiding Overproduction

Xiaoding Wang, Xiao-Han Ma, Yi-Fu Cai

arxiv:2412.19631 v2 · 2024-12-27 · astro-ph.CO · 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{QDFRLSVZNPQGLN6HAULFTO7GS7}

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

5 papers in Pith

Constant-Roll Inflation: Analytical Formulae for Power Spectrum and Implications for Induced Gravitational Waves

Superhorizon curvature perturbations in hybrid inflation revisited

Scalar-induced gravitational waves with non-Gaussianity up to all orders

Exploring the statistical anisotropy of primordial curvature perturbations with pulsar timing arrays

Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves

Receipt and verification

First computed	2026-07-05T12:09:12.119361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80cb15cab96be065b7c7051659bbe697dba12c5ae5f89840e16afed9b74603dc

Aliases

arxiv: 2412.19631 · arxiv_version: 2412.19631v2 · doi: 10.48550/arxiv.2412.19631 · pith_short_12: QDFRLSVZNPQG · pith_short_16: QDFRLSVZNPQGLN6H · pith_short_8: QDFRLSVZ

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/QDFRLSVZNPQGLN6HAULFTO7GS7 \
  | 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: 80cb15cab96be065b7c7051659bbe697dba12c5ae5f89840e16afed9b74603dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597359764f11021ef9812b5e5c6400436d92f8087cd3ba96534977bd65c99e7f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-12-27T13:21:06Z",
    "title_canon_sha256": "7bf24bea0a2746f0fd9fb47c76c84cd996df953318a745ba5735dfa0fc201b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19631",
    "kind": "arxiv",
    "version": 2
  }
}