Pith Number

pith:CP3KKJ2W

pith:2025:CP3KKJ2WTAZLRPMXQU4X5ZG5VD

not attested not anchored not stored refs pending

Are Primordial Black Holes Truly Fine-Tuned?

A.J. Iovino, A. Riotto

arxiv:2512.19668 v2 · 2025-12-22 · astro-ph.CO · gr-qc · 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{CP3KKJ2WTAZLRPMXQU4X5ZG5VD}

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	2026-06-02T02:04:49.710976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f6a527569832b8bd9785397ee4dda8c4ea3cdee1b419ff4497e9b5875314fe

Aliases

arxiv: 2512.19668 · arxiv_version: 2512.19668v2 · doi: 10.48550/arxiv.2512.19668 · pith_short_12: CP3KKJ2WTAZL · pith_short_16: CP3KKJ2WTAZLRPMX · pith_short_8: CP3KKJ2W

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/CP3KKJ2WTAZLRPMXQU4X5ZG5VD \
  | 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: 13f6a527569832b8bd9785397ee4dda8c4ea3cdee1b419ff4497e9b5875314fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa28a4fae450e4117c49f21cdb4f00b99205c1079b50a0baf21018762f7f5c5",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-12-22T18:48:00Z",
    "title_canon_sha256": "e49a751c925153df0bb62dcf8517a3785913164f894810a204f112f3449c848f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19668",
    "kind": "arxiv",
    "version": 2
  }
}