Pith Number

pith:NDG4L3HY

pith:2000:NDG4L3HYBKNE2SQ6F4RNFKR3RR

not attested not anchored not stored refs pending

Black hole formation from massive scalar field collapse in the Einstein-de Sitter universe

Sergio M. C. V. Goncalves (Caltech)

arxiv:gr-qc/0008039 v1 · 2000-08-15 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDG4L3HYBKNE2SQ6F4RNFKR3RR}

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

1 paper in Pith

Primordial black holes through preheating instabilities in $\alpha$-attractor models

Receipt and verification

First computed	2026-07-04T16:19:41.058155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68cdc5ecf80a9a4d4a1e2f22d2aa3b8c444d5f1ad3dfdda7ddf0f3c634098bca

Aliases

arxiv: gr-qc/0008039 · arxiv_version: gr-qc/0008039v1 · doi: 10.48550/arxiv.gr-qc/0008039 · pith_short_12: NDG4L3HYBKNE · pith_short_16: NDG4L3HYBKNE2SQ6 · pith_short_8: NDG4L3HY

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/NDG4L3HYBKNE2SQ6F4RNFKR3RR \
  | 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: 68cdc5ecf80a9a4d4a1e2f22d2aa3b8c444d5f1ad3dfdda7ddf0f3c634098bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead8a94660f70f402d5e985186bad91b1680bfaabb5052f5cf3b6921944c5dec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-08-15T20:47:05Z",
    "title_canon_sha256": "c3d0f077ed0bbadd279fecacbd685283887225f4dc24c9f8964968bc274cabd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0008039",
    "kind": "arxiv",
    "version": 1
  }
}