Pith Number

pith:7AKPXNLE

pith:2005:7AKPXNLEAJ2TYTFQATK7SKP65P

not attested not anchored not stored refs pending

Hoop Conjecture in Five-dimensios -Violation of Cosmic Censorship-

Chul-Moon Yoo, Daisuke Ida, Ken-ichi Nakao

arxiv:gr-qc/0503008 v2 · 2005-03-02 · 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{7AKPXNLEAJ2TYTFQATK7SKP65P}

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	2026-07-04T16:55:10.748772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f814fbb56402753c4cb004d5f929feebf5c83679eb49577e1f19c541cbcd0e48

Aliases

arxiv: gr-qc/0503008 · arxiv_version: gr-qc/0503008v2 · doi: 10.48550/arxiv.gr-qc/0503008 · pith_short_12: 7AKPXNLEAJ2T · pith_short_16: 7AKPXNLEAJ2TYTFQ · pith_short_8: 7AKPXNLE

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/7AKPXNLEAJ2TYTFQATK7SKP65P \
  | 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: f814fbb56402753c4cb004d5f929feebf5c83679eb49577e1f19c541cbcd0e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee766559c726f7ae9918c4d07ccf03a8173b259e388d748daf56e967a538739",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-03-02T03:54:21Z",
    "title_canon_sha256": "f77f63cbc1bb588f329d61030472339fd0de2a947e85c00290386b38c999b895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0503008",
    "kind": "arxiv",
    "version": 2
  }
}