Pith Number

pith:DD6GMMGI

pith:2010:DD6GMMGI4ODUOI5QUZ3QJRN3R4

not attested not anchored not stored refs pending

Existence of naked singularities in Brans-Dicke theory of gravitation. An analytical and numerical study

J\'er\^ome Novak, Jos\'e M. Mart\'in-Garc\'ia, Nabil Bedjaoui, Philippe G. LeFloch

arxiv:1008.4238 v3 · 2010-08-25 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DD6GMMGI4ODUOI5QUZ3QJRN3R4}

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	2026-05-18T04:34:36.861019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18fc6630c8e3874723b0a67704c5bb8f032a1bace3a2f08f943c4244c635abad

Aliases

arxiv: 1008.4238 · arxiv_version: 1008.4238v3 · doi: 10.48550/arxiv.1008.4238 · pith_short_12: DD6GMMGI4ODU · pith_short_16: DD6GMMGI4ODUOI5Q · pith_short_8: DD6GMMGI

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/DD6GMMGI4ODUOI5QUZ3QJRN3R4 \
  | 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: 18fc6630c8e3874723b0a67704c5bb8f032a1bace3a2f08f943c4244c635abad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a796394f267c3581c067c00a79831a93a308235c1af2700a49ade53b18bfbe13",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-25T09:38:49Z",
    "title_canon_sha256": "53648a721b9fb022f7bc96e158718168f7d5577383c697d03ebbe4de4875ae4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4238",
    "kind": "arxiv",
    "version": 3
  }
}