Pith Number

pith:S5ZW3KFB

pith:2010:S5ZW3KFBWNHDL4EAWAJ2KSGLLL

not attested not anchored not stored refs pending

Separate Universes Do Not Constrain Primordial Black Hole Formation

Jochen Weller, Michael Kopp, Stefan Hofmann

arxiv:1012.4369 v2 · 2010-12-20 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5ZW3KFBWNHDL4EAWAJ2KSGLLL}

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

2 papers in Pith

Constraints on Primordial Black Holes

Purely Quadratic Non-Gaussianity from Tachyonic Instability: Primordial Black Holes and Scalar-Induced Gravitational Waves

Receipt and verification

First computed	2026-05-18T04:19:02.196596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97736da8a1b34e35f080b013a548cb5ae2dec1437f9142d4736803ab897c11dd

Aliases

arxiv: 1012.4369 · arxiv_version: 1012.4369v2 · doi: 10.48550/arxiv.1012.4369 · pith_short_12: S5ZW3KFBWNHD · pith_short_16: S5ZW3KFBWNHDL4EA · pith_short_8: S5ZW3KFB

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/S5ZW3KFBWNHDL4EAWAJ2KSGLLL \
  | 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: 97736da8a1b34e35f080b013a548cb5ae2dec1437f9142d4736803ab897c11dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eabe45251af941500f41331e9f0192503edf2ecc457919becceb9e4152f9197",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-20T15:50:04Z",
    "title_canon_sha256": "ae873cf80df2b929f3cade2be8fb453e2d3e63c5887953f815560526e9b7b966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4369",
    "kind": "arxiv",
    "version": 2
  }
}