Pith Number

pith:MS7JQBRO

pith:2003:MS7JQBROZURFPT3TSCR23KWXRU

not attested not anchored not stored refs pending

The naked singularity in the global structure of critical collapse spacetimes

Andrei V. Frolov, Ue-Li Pen

arxiv:gr-qc/0307081 v1 · 2003-07-17 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS7JQBROZURFPT3TSCR23KWXRU}

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

3 papers in Pith

Unveiling horizons in quantum critical collapse

Quantum Critical Collapse Abhors a Naked Singularity

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-07-04T16:40:15.225650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64be98062ecd2257cf7390a3adaad78d17310e5cacab7be878afcb454bdfd595

Aliases

arxiv: gr-qc/0307081 · arxiv_version: gr-qc/0307081v1 · doi: 10.48550/arxiv.gr-qc/0307081 · pith_short_12: MS7JQBROZURF · pith_short_16: MS7JQBROZURFPT3T · pith_short_8: MS7JQBRO

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/MS7JQBROZURFPT3TSCR23KWXRU \
  | 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: 64be98062ecd2257cf7390a3adaad78d17310e5cacab7be878afcb454bdfd595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4961744580566d02831bacfe8b8e5c4482d1eff039bfc1b3c83e3771ba2b66",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-07-17T08:59:16Z",
    "title_canon_sha256": "bc96de41cb01f2a852ee348cb5f1650c330a072957a96b0196fb2e5bf6a55cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0307081",
    "kind": "arxiv",
    "version": 1
  }
}