Pith Number

pith:Z57IR4WN

pith:2026:Z57IR4WNPR2CFDNMEP46CCOKSH

not attested not anchored not stored refs pending

Long-term 3+1 simulations of primordial black hole formation during radiation domination

Chul-Moon Yoo, Rong-Gen Cai, Shao-Jiang Wang, Zhuan Ning

arxiv:2608.13206 v1 · 2026-08-13 · 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{Z57IR4WNPR2CFDNMEP46CCOKSH}

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	2026-08-14T01:00:39.920696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7e88f2cd7c74228dac23f9e109ca91ebedd7b7d247d254dcf6d3af021e676b

Aliases

arxiv: 2608.13206 · arxiv_version: 2608.13206v1 · doi: 10.48550/arxiv.2608.13206 · pith_short_12: Z57IR4WNPR2C · pith_short_16: Z57IR4WNPR2CFDNM · pith_short_8: Z57IR4WN

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/Z57IR4WNPR2CFDNMEP46CCOKSH \
  | 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: cf7e88f2cd7c74228dac23f9e109ca91ebedd7b7d247d254dcf6d3af021e676b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed83ace617728eaf050246c468e4727ecf7f50ed03b6fe3dc7bfafe382e56a1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-13T13:08:52Z",
    "title_canon_sha256": "0380139b8b7f49005319c6ba19b5430636f233da4f43c416f71121f59345c50a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13206",
    "kind": "arxiv",
    "version": 1
  }
}