Pith Number

pith:5BSNEQPH

pith:2025:5BSNEQPH6ZMG6TU2TS35LSQA5A

not attested not anchored not stored refs pending

Critical behavior and ultraviolet scaling of induced gravitational waves from an early matter-dominated era

Cheng-Jun Fang, Zhen-Min Zeng, Zong-Kuan Guo

arxiv:2504.01397 v3 · 2025-04-02 · 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{5BSNEQPH6ZMG6TU2TS35LSQA5A}

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

2 papers in Pith

Signatures of loop quantum gravity in primordial black hole cosmologies

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

Receipt and verification

First computed	2026-07-05T12:04:14.708023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e864d241e7f6586f4e9a9cb7d5ca00e82504d6151b7805297fb23219e7ab4381

Aliases

arxiv: 2504.01397 · arxiv_version: 2504.01397v3 · doi: 10.48550/arxiv.2504.01397 · pith_short_12: 5BSNEQPH6ZMG · pith_short_16: 5BSNEQPH6ZMG6TU2 · pith_short_8: 5BSNEQPH

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/5BSNEQPH6ZMG6TU2TS35LSQA5A \
  | 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: e864d241e7f6586f4e9a9cb7d5ca00e82504d6151b7805297fb23219e7ab4381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43fd51da447a28b7f4c60f70dcd4b3081a2599ae393fc3faae91b730df363d63",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-04-02T06:37:17Z",
    "title_canon_sha256": "e4e4cfda9d92e02bf6540ea9d0ca436b41d6b32dc17b24cec91e446ab9212549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.01397",
    "kind": "arxiv",
    "version": 3
  }
}