Pith Number

pith:IXR52DWT

pith:2006:IXR52DWTMNDB3N3XYWIQ6CVSBB

not attested not anchored not stored refs pending

Formation of Three-Dimensional Black Strings from Gravitational Collapse of Dust Cloud

Jaehoon Jeong, John J. Oh, Seungjoon Hyun, Wontae Kim

arxiv:gr-qc/0612094 v4 · 2006-12-15 · gr-qc · astro-ph · 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{IXR52DWTMNDB3N3XYWIQ6CVSBB}

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	2026-05-18T04:38:36.705379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e3dd0ed363461db777c5910f0ab2085539cdca872d314308c6eeb8dcc07874

Aliases

arxiv: gr-qc/0612094 · arxiv_version: gr-qc/0612094v4 · doi: 10.48550/arxiv.gr-qc/0612094 · pith_short_12: IXR52DWTMNDB · pith_short_16: IXR52DWTMNDB3N3X · pith_short_8: IXR52DWT

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/IXR52DWTMNDB3N3XYWIQ6CVSBB \
  | 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: 45e3dd0ed363461db777c5910f0ab2085539cdca872d314308c6eeb8dcc07874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a9c60cdcd4644b4d20754677848f7875b115a62367e79f84f6ad127cda3d95",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-15T03:56:38Z",
    "title_canon_sha256": "70f293705f5b8f09c17abe2a7779ac43be679238301fe0a2f9c35d22e215376f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612094",
    "kind": "arxiv",
    "version": 4
  }
}