Pith Number

pith:NQKUMKEA

pith:2025:NQKUMKEA7CYU2ZJUZ2VCNXYS5Z

not attested not anchored not stored refs pending

Primordial Gravitational Waves in Quadratic Gravity

Jeffrey Kuntz, Jisuke Kubo

arxiv:2502.03543 v3 · 2025-02-05 · gr-qc · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQKUMKEA7CYU2ZJUZ2VCNXYS5Z}

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

1 paper in Pith

Freeze-out and spectral running of primordial gravitational waves in viscous cosmology

Receipt and verification

First computed	2026-07-05T11:11:40.651125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c15462880f8b14d6534ceaa26df12ee5e303693fe3cc75fd0cd73e8fa58ee72

Aliases

arxiv: 2502.03543 · arxiv_version: 2502.03543v3 · doi: 10.48550/arxiv.2502.03543 · pith_short_12: NQKUMKEA7CYU · pith_short_16: NQKUMKEA7CYU2ZJU · pith_short_8: NQKUMKEA

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/NQKUMKEA7CYU2ZJUZ2VCNXYS5Z \
  | 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: 6c15462880f8b14d6534ceaa26df12ee5e303693fe3cc75fd0cd73e8fa58ee72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b64281e90c1927eec21d226124bd15455d8837e54999e1e07abbb27337d891",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-05T19:01:13Z",
    "title_canon_sha256": "eaf3507a77e2b12677bf24e5170636ead29e95653eab9bb3d523207af04bcd4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03543",
    "kind": "arxiv",
    "version": 3
  }
}