Pith Number

pith:E757LGZ6

pith:2026:E757LGZ6NDXUX2V2ZJPZNF3OC6

not attested not anchored not stored refs pending

Primordial black hole formation in bulk-viscous cosmology

Cristian Joana, Rong-Gen Cai, Shao-Jiang Wang, Zi-Yan Yuwen

arxiv:2606.26532 v1 · 2026-06-25 · 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{E757LGZ6NDXUX2V2ZJPZNF3OC6}

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	2026-06-26T01:15:33.805375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27fbf59b3e68ef4beabaca5f96976e179663a2aa246fd3963dbbcb033f3cbf2f

Aliases

arxiv: 2606.26532 · arxiv_version: 2606.26532v1 · doi: 10.48550/arxiv.2606.26532 · pith_short_12: E757LGZ6NDXU · pith_short_16: E757LGZ6NDXUX2V2 · pith_short_8: E757LGZ6

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/E757LGZ6NDXUX2V2ZJPZNF3OC6 \
  | 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: 27fbf59b3e68ef4beabaca5f96976e179663a2aa246fd3963dbbcb033f3cbf2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ea3c1c6a5f088a5b4eb3ee78777e3a507f88ebf8b10b702d3b53b332a42a4e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-25T02:12:44Z",
    "title_canon_sha256": "5fb1434232c675cbf6864644e0bd28c2ea4f01bbe39d199ec7096a9216f32397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26532",
    "kind": "arxiv",
    "version": 1
  }
}