Pith Number

pith:PDOBRZAF

pith:2009:PDOBRZAFHKAGVVCI5QTTXF2FRO

not attested not anchored not stored refs pending

Hoop Conjecture and the Horizon Formation Cross-Section in Kaluza-Klein Spacetimes

Chul-Moon Yoo, Hideki Ishihara, Masashi Kimura, Sugure Tanzawa

arxiv:0906.0689 v3 · 2009-06-03 · 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{PDOBRZAFHKAGVVCI5QTTXF2FRO}

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	2026-05-18T03:23:59.661440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78dc18e4053a806ad448ec273b97458ba43d3177269ca539678216f0104cbdc4

Aliases

arxiv: 0906.0689 · arxiv_version: 0906.0689v3 · doi: 10.48550/arxiv.0906.0689 · pith_short_12: PDOBRZAFHKAG · pith_short_16: PDOBRZAFHKAGVVCI · pith_short_8: PDOBRZAF

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/PDOBRZAFHKAGVVCI5QTTXF2FRO \
  | 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: 78dc18e4053a806ad448ec273b97458ba43d3177269ca539678216f0104cbdc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05bdb5afa6b61e5472167760eb03fdec74c95cc7bfcd78f3bb6a420366305cf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-06-03T11:45:52Z",
    "title_canon_sha256": "84a6f56ce56f280f790c7adff2a7b2b9ee67e89750cc297b46c20223b8fd590d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0689",
    "kind": "arxiv",
    "version": 3
  }
}