Pith Number

pith:QQLECWRJ

pith:2001:QQLECWRJCEYINPEITQCVBK3JL6

not attested not anchored not stored refs pending

Why do naked singularities form in gravitational collapse?

Naresh Dadhich (IUCAA), Pankaj S. Joshi (Tata Institute), Roy Maartens (Portsmouth)

arxiv:gr-qc/0109051 v2 · 2001-09-14 · 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{QQLECWRJCEYINPEITQCVBK3JL6}

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

An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole

Receipt and verification

First computed	2026-07-04T16:26:57.546570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8416415a29113086bc889c0550ab695fb220d30d74de0d7e029173d133299077

Aliases

arxiv: gr-qc/0109051 · arxiv_version: gr-qc/0109051v2 · doi: 10.48550/arxiv.gr-qc/0109051 · pith_short_12: QQLECWRJCEYI · pith_short_16: QQLECWRJCEYINPEI · pith_short_8: QQLECWRJ

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/QQLECWRJCEYINPEITQCVBK3JL6 \
  | 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: 8416415a29113086bc889c0550ab695fb220d30d74de0d7e029173d133299077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d81a8a22d252c9d08b47b4b8c4bc789a26367357f3078df971b653b69366bf",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-09-14T16:04:06Z",
    "title_canon_sha256": "ae7a105c79a2d9e22ce2a998070eb59107da1fe96c78d11d79af718805b6b8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0109051",
    "kind": "arxiv",
    "version": 2
  }
}