Pith Number

pith:VS3LRMIT

pith:2015:VS3LRMITXPEB2UBMAUDM42OJ2H

not attested not anchored not stored refs pending

Spherical and nonspherical models of primordial black hole formation: exact solutions

Sanjay Jhingan, Tomohiro Harada

arxiv:1512.08639 v2 · 2015-12-29 · gr-qc · astro-ph.CO · 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{VS3LRMITXPEB2UBMAUDM42OJ2H}

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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

1 paper in Pith

Primordial black hole formation from a type II perturbation in the absence and presence of pressure

Receipt and verification

First computed	2026-05-18T01:01:36.054632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb6b8b113bbc81d502c0506ce69c9d1ef6384ac455a9f78b9fb0ebd021555dd

Aliases

arxiv: 1512.08639 · arxiv_version: 1512.08639v2 · doi: 10.48550/arxiv.1512.08639 · pith_short_12: VS3LRMITXPEB · pith_short_16: VS3LRMITXPEB2UBM · pith_short_8: VS3LRMIT

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/VS3LRMITXPEB2UBMAUDM42OJ2H \
  | 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: acb6b8b113bbc81d502c0506ce69c9d1ef6384ac455a9f78b9fb0ebd021555dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175ad834c90696d2b34e65d9f9c4ff5a3d3e825fcba3ed8d9b7c7f5535ef1776",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-29T09:57:11Z",
    "title_canon_sha256": "5819d6ea4dea256b5245a5763650abfd013a3c397bde0079fc7a67f01d8b9361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08639",
    "kind": "arxiv",
    "version": 2
  }
}