Pith Number

pith:2WYWYXUH

pith:2026:2WYWYXUHWV5TPP4FC4ZWRCA6GM

not attested not anchored not stored refs pending

Primordial Black Holes from Vector-Induced Curvature Perturbations Sourced by Primordial Magnetic Fields

Chang Han, Hongwei Yu, Puxun Wu, Zu-Cheng Chen

arxiv:2606.23307 v1 · 2026-06-22 · 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{2WYWYXUHWV5TPP4FC4ZWRCA6GM}

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.

Receipt and verification

First computed	2026-06-23T03:14:16.456142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b16c5e87b57b37bf85173368881e3332002f99493d666985a405d3331aca06

Aliases

arxiv: 2606.23307 · arxiv_version: 2606.23307v1 · doi: 10.48550/arxiv.2606.23307 · pith_short_12: 2WYWYXUHWV5T · pith_short_16: 2WYWYXUHWV5TPP4F · pith_short_8: 2WYWYXUH

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/2WYWYXUHWV5TPP4FC4ZWRCA6GM \
  | 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: d5b16c5e87b57b37bf85173368881e3332002f99493d666985a405d3331aca06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7202d43ec40943c16f2abb594b08aded7ce12a8f70b61d1476064bb847fc4540",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-22T13:21:48Z",
    "title_canon_sha256": "876819224cde6bb52d07ac8ecbf2f7c979e50e656ea2f88177c939b461516f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23307",
    "kind": "arxiv",
    "version": 1
  }
}