Pith Number

pith:4EYN245W

pith:2025:4EYN245WBHHYO5HVEWHLZ6H3OP

not attested not anchored not stored refs pending

Vector induced Gravitational Waves sourced by Primordial Magnetic Fields

Anish Ghoshal, Arko Bhaumik, Theodoros Papanikolaou

arxiv:2504.10477 v2 · 2025-04-14 · astro-ph.CO · gr-qc · hep-ph · 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{4EYN245WBHHYO5HVEWHLZ6H3OP}

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

3 papers in Pith

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

Gravitational Waves from Post-Inflationary Magnetism: Direct and Scalar-Induced Contributions

The Magnetic Origin of Primordial Black Holes: Ultralight PBHs and Secondary GWs

Receipt and verification

First computed	2026-07-05T11:44:04.172536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e130dd73b609cf8774f5258ebcf8fb73e315983e12ed27266085a9f6ffd1bff9

Aliases

arxiv: 2504.10477 · arxiv_version: 2504.10477v2 · doi: 10.48550/arxiv.2504.10477 · pith_short_12: 4EYN245WBHHY · pith_short_16: 4EYN245WBHHYO5HV · pith_short_8: 4EYN245W

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/4EYN245WBHHYO5HVEWHLZ6H3OP \
  | 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: e130dd73b609cf8774f5258ebcf8fb73e315983e12ed27266085a9f6ffd1bff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2685a99b0a7229e3e0de25c2f452a3b352b29047ba6ce0e4048849791cd6d687",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-04-14T17:59:05Z",
    "title_canon_sha256": "13c28f3ba0caf446d6e7ae054cf24bfe0ca35eedf95fd519658cb6dbc2e8c0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.10477",
    "kind": "arxiv",
    "version": 2
  }
}