Pith Number

pith:RY4ORYQH

pith:2010:RY4ORYQH2PUFLS6QPECPFOO3IY

not attested not anchored not stored refs pending

On the Gannon-Lee Singularity Theorem in Higher Dimensions

I.P. Costa e Silva

arxiv:1005.5527 v1 · 2010-05-30 · gr-qc · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RY4ORYQH2PUFLS6QPECPFOO3IY}

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	2026-05-18T02:33:23.546658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e38e8e207d3e855cbd07904f2b9db460307e8f92ec7da4dcb6a92bc41dede50

Aliases

arxiv: 1005.5527 · arxiv_version: 1005.5527v1 · doi: 10.48550/arxiv.1005.5527 · pith_short_12: RY4ORYQH2PUF · pith_short_16: RY4ORYQH2PUFLS6Q · pith_short_8: RY4ORYQH

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/RY4ORYQH2PUFLS6QPECPFOO3IY \
  | 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: 8e38e8e207d3e855cbd07904f2b9db460307e8f92ec7da4dcb6a92bc41dede50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ccdfd941e0cc5b5ece23dc0d96e8e0c784569c65436a7e47a47370d48089f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-30T13:14:47Z",
    "title_canon_sha256": "12afd9eba0ead7a26f4d9e4b30649104fe9326fbc4d4216e5023df21a00b7573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5527",
    "kind": "arxiv",
    "version": 1
  }
}