Pith Number

pith:HSFPY5ZJ

pith:2012:HSFPY5ZJAOF3NN7UWSYF3FA3FQ

not attested not anchored not stored refs pending

Can strong gravitational lensing distinguish naked singularities from black holes?

D. Narasimha, Mandar Patil, Pankaj S. Joshi, Satyabrata Sahu

arxiv:1206.3077 v2 · 2012-06-14 · gr-qc · astro-ph.GA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSFPY5ZJAOF3NN7UWSYF3FA3FQ}

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

1 paper in Pith

Weyl-type solutions with multipolar scalar fields

Receipt and verification

First computed	2026-05-18T03:45:12.232026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8afc7729038bb6b7f4b4b05d941b2c04f45b5bc36e18818fed60e17b8157f9

Aliases

arxiv: 1206.3077 · arxiv_version: 1206.3077v2 · doi: 10.48550/arxiv.1206.3077 · pith_short_12: HSFPY5ZJAOF3 · pith_short_16: HSFPY5ZJAOF3NN7U · pith_short_8: HSFPY5ZJ

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/HSFPY5ZJAOF3NN7UWSYF3FA3FQ \
  | 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: 3c8afc7729038bb6b7f4b4b05d941b2c04f45b5bc36e18818fed60e17b8157f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2cb7e6e421e7c760b1422ac757f3133156b58c3dd1e50c90e86c7f2353d293f",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-06-14T12:05:18Z",
    "title_canon_sha256": "c0f551e1e0e67f12686f806a0b1108993448f8315015eed674d450dea4387829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3077",
    "kind": "arxiv",
    "version": 2
  }
}