Pith Number

pith:K4BDBPOT

pith:1998:K4BDBPOTHJHOLH6WMRIGG3Z5WU

not attested not anchored not stored refs pending

Scaling of curvature in sub-critical gravitational collapse

David Garfinkle, G. Comer Duncan

arxiv:gr-qc/9802061 v2 · 1998-02-24 · 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{K4BDBPOTHJHOLH6WMRIGG3Z5WU}

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

Gravitational collapse in the vicinity of the extremal black hole critical point

Receipt and verification

First computed	2026-05-18T04:35:33.848236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570230bdd33a4ee59fd66450636f3db534b7a463bbda59b529be304269a8eb4a

Aliases

arxiv: gr-qc/9802061 · arxiv_version: gr-qc/9802061v2 · doi: 10.48550/arxiv.gr-qc/9802061 · pith_short_12: K4BDBPOTHJHO · pith_short_16: K4BDBPOTHJHOLH6W · pith_short_8: K4BDBPOT

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/K4BDBPOTHJHOLH6WMRIGG3Z5WU \
  | 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: 570230bdd33a4ee59fd66450636f3db534b7a463bbda59b529be304269a8eb4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4f63987b6003d258f04f61ded712b13c1eae51fd5d4894e0c45adaf227ca2e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-02-24T23:49:11Z",
    "title_canon_sha256": "eb45db413b0bd564a7bd71b90c4ecda1e6e11cb59ad878a01adeb1274762795a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9802061",
    "kind": "arxiv",
    "version": 2
  }
}