Pith Number

pith:H4HXNNZ7

pith:2024:H4HXNNZ7FMJVPD7F7QBLOFB7PT

not attested not anchored not stored refs pending

Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole

Chunhua Jiang, Guansheng He, Wenbin Lin, Yi Xie

arxiv:2402.01548 v3 · 2024-02-02 · 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{H4HXNNZ7FMJVPD7F7QBLOFB7PT}

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

Three dimensional black bounces in $f(R)$ gravity

Receipt and verification

First computed	2026-07-05T09:02:15.830583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0f76b73f2b13578fe5fc02b7143f7cdbe7c22e946b2c62411620eb208c45c2

Aliases

arxiv: 2402.01548 · arxiv_version: 2402.01548v3 · doi: 10.48550/arxiv.2402.01548 · pith_short_12: H4HXNNZ7FMJV · pith_short_16: H4HXNNZ7FMJVPD7F · pith_short_8: H4HXNNZ7

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/H4HXNNZ7FMJVPD7F7QBLOFB7PT \
  | 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: 3f0f76b73f2b13578fe5fc02b7143f7cdbe7c22e946b2c62411620eb208c45c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fff7dc79d97230c13d24817c85e6dded6829910267cfc3f3484491d7dec807a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-02-02T16:41:28Z",
    "title_canon_sha256": "f35c2ff9012cb85d228a9bf56181182ed615e74c67bee256030f79a552d53c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.01548",
    "kind": "arxiv",
    "version": 3
  }
}