Pith Number

pith:342SPQT2

pith:2020:342SPQT2WD2NZOBZ2FMOZJ6LGM

not attested not anchored not stored refs pending

Strong gravitational lensing by a strongly naked null singularity

Suvankar Paul

arxiv:2007.05509 v3 · 2020-07-10 · gr-qc · 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{342SPQT2WD2NZOBZ2FMOZJ6LGM}

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

Observational Signatures of Janis-Newman-Winicour Strongly Naked Singularity

Receipt and verification

First computed	2026-07-05T01:37:42.866754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df3527c27ab0f4dcb839d158eca7cb3334ee6642710b666af8f7b724e785f0e5

Aliases

arxiv: 2007.05509 · arxiv_version: 2007.05509v3 · doi: 10.48550/arxiv.2007.05509 · pith_short_12: 342SPQT2WD2N · pith_short_16: 342SPQT2WD2NZOBZ · pith_short_8: 342SPQT2

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/342SPQT2WD2NZOBZ2FMOZJ6LGM \
  | 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: df3527c27ab0f4dcb839d158eca7cb3334ee6642710b666af8f7b724e785f0e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59795ed7431968f7d909f97eb5b8e46bce3a5067fc0f4755481dacca7976e65e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-10T17:40:12Z",
    "title_canon_sha256": "49f9722da574bb2ea0264d57b578b3c4f33a1af4ea2959dbd9dc4652b21b5407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.05509",
    "kind": "arxiv",
    "version": 3
  }
}