Pith Number

pith:RET5KX63

pith:2026:RET5KX63LZVTEGDUEIFHLKIW7P

not attested not anchored not stored refs pending

Primordial black holes spin from cosmological first-order phase transitions

Yu-Shi Hao

arxiv:2606.01580 v1 · 2026-06-01 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RET5KX63LZVTEGDUEIFHLKIW7P}

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	2026-06-02T02:04:37.129537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8927d55fdb5e6b321874220a75a916fbccb65f81d65f3e4305fbd37bdd25e55a

Aliases

arxiv: 2606.01580 · arxiv_version: 2606.01580v1 · doi: 10.48550/arxiv.2606.01580 · pith_short_12: RET5KX63LZVT · pith_short_16: RET5KX63LZVTEGDU · pith_short_8: RET5KX63

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/RET5KX63LZVTEGDUEIFHLKIW7P \
  | 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: 8927d55fdb5e6b321874220a75a916fbccb65f81d65f3e4305fbd37bdd25e55a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "378ce5b7def82ee4eae05e1a21d12fe1966de89b0e9041ecb687845e96b69eb8",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-01T02:26:19Z",
    "title_canon_sha256": "5bdadfc6d98ab4d3891f296c5efd68930829fdfce1f091563937020caadf2b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01580",
    "kind": "arxiv",
    "version": 1
  }
}