Pith Number

pith:LNHZFG5K

pith:2023:LNHZFG5KGA6AOA5GQNTYTXO5ZM

not attested not anchored not stored refs pending

Gravitational Lensing by Transparent Janis-Newman-Winicour Naked Singularities

Deyou Chen, Houwen Wu, Peng Wang, Tianshu Wu, Yiqian Chen

arxiv:2309.00905 v2 · 2023-09-02 · 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{LNHZFG5KGA6AOA5GQNTYTXO5ZM}

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

2 papers in Pith

Weyl-type solutions with multipolar scalar fields

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes

Receipt and verification

First computed	2026-07-05T06:52:07.199586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b4f929baa303c0703a6836789ddddcb282522b41a5a5b0da59e842bfed0b452

Aliases

arxiv: 2309.00905 · arxiv_version: 2309.00905v2 · doi: 10.48550/arxiv.2309.00905 · pith_short_12: LNHZFG5KGA6A · pith_short_16: LNHZFG5KGA6AOA5G · pith_short_8: LNHZFG5K

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/LNHZFG5KGA6AOA5GQNTYTXO5ZM \
  | 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: 5b4f929baa303c0703a6836789ddddcb282522b41a5a5b0da59e842bfed0b452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb96cee27775b4ef1c9525c2e6eb6995814705cf6fcc748090c06612f997971",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-09-02T10:58:42Z",
    "title_canon_sha256": "97c9b7e2b7a486666133d16b7dbe24e15be4ee30f0b66002250978cdf357e148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.00905",
    "kind": "arxiv",
    "version": 2
  }
}